Publications

Some papers that refer to Macaulay2

Many of the citations to papers below were obtained using a a full text search at arxiv.org for "Macaulay2" or "Macaulay 2" but not "Cohen Macaulay 2". We regard that form of search as reliable, and would appreciate being informed of any entries that don't refer to Macaulay2. The most recent search was performed in September, 2009.

1. A gem of the modular universe, by Bruce Hunt; arXiv:alg-geom/9503018v1.
2. Local cohomology of bivariate splines, by Hal Schenck and Mike Stillman, J. Pure Appl. Algebra 117/118 (1997) 535-548.
3. A spectral sequence for splines, by Hal Schenck, Adv. in Appl. Math. 19 (1997) 183-199.
4. A family of ideals of minimal regularity and the Hilbert series of C^r(Δ hat), by Hal Schenck and Mike Stillman, Adv. in Appl. Math. 19 (1997) 169-182.
5. Homotopy types of complements of 2-arrangements in R⁴, by Daniel Matei and Alexander I. Suciu; arXiv:math/9712251v2; appeared in: Topology 39 (2000), no. 1, 61-88.
6. How many squares in an infinite chess board can a knight reach in d moves?, by Mordechai Katzman, preprint.
7. Four Counterexamples in Combinatorial Algebraic Geometry, by Bernd Sturmfels, preprint, July 8, 1998.
8. Fat points, inverse systems, and piecewise polynomial functions, Anthony V. Geramita and Henry K. Schenck, J. Algebra 204 (1998) 116-128.
9. Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds, by Nathan M. Dunfield; arXiv:math/9801064v2; appeared in: Topology, Vol 38, No. 2, pp 457-465, 1999.
10. The Pfaffian Calabi-Yau, its Mirror, and their link to the Grassmannian G(2,7), by Einar Andreas Rodland; arXiv:math/9801092v1.
11. Varieties of sums of powers, by Kristian Ranestad and Frank-Olaf Schreyer, J. Reine Angew. Math. 525, 147-181 (2000), arXiv:math/9801110.
12. The Projective Geometry of the Gale Transform, by David Eisenbud and Sorin Popescu, July 23, 1998, arXiv:math/9807127.
13. Computing Global Extension Modules for Coherent Sheaves on a Projective Scheme, by Gregory G. Smith; arXiv:math/9807170v1; appeared in: Journal of Symbolic Computation 29 (2000) 729-746.
14. On the divisor class group of double solids, by Stephan Endrass; arXiv:math/9809158v2.
15. Cohomology rings and nilpotent quotients of real and complex arrangements, by Daniel Matei and Alexander I. Suciu; arXiv:math/9812087v3; appeared in: Arrangements-Tokyo 1998, 185-215, Advanced Studies in Pure Mathematics, vol. 27, Kinokuniya, Tokyo, 2000.
16. Moduli of (1,7)-polarized abelian surfaces via syzygies, by Nicolae Manolache and Frank-Olaf Schreyer, Math. Nachr. 226 (2001) 177-203, arXiv:math/9812121.
17. Inbreeding depression in a zygotic algebra, by J. A. Vargas and R. F. del Castillo, Communications in Algebra, 27 (1999) 4425-4432.
18. Ideals with a given Hilbert function, by Graham Evans, preprint, 1999.
19. The moduli space of (1,11)-polarized abelian surfaces is unirational, by Mark Gross and Sorin Popescu; arXiv:math/9902017v1.
20. Standard bases with respect to the Newton filtration, by Stephan Endrass; arXiv:math/9904071v1.
21. Weighted Tango Bundles And Their Moduli Spaces, by Paolo Cascini; arXiv:math/9904091v4; appeared in: Forum Math. 13, No.2, 251-260 (2001).
22. Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and Shapiro, by Frank Sottile; arXiv:math/9904138v1; appeared in: Experimental Mathematics, 9, Number 2, (2000), pp. 161-182.
23. Enriques Surfaces and other Non-Pfaffian Subcanonical Subschemes of Codimension 3, by David Eisenbud, Sorin Popescu, and Charles Walter; arXiv:math/9906171v1.
24. Bezout’s theorem and Cohen-Macaulay modules, by J. Migliore, U. Nagel, and C. Peterson; arXiv:math/9907074v1.
25. Determinantal hypersurfaces, by A. Beauville; arXiv:math/9910030v2.
26. A smooth space of tetrahedra, by Eric Babson, Paul E. Gunnells, and Richard Scott; arXiv:math/9910049v2.
27. Constructing irreducible representations of finitely presented algebras, by Edward S. Letzter; arXiv:math/9910132v4.
28. Quartic 3-fold: Pfaffians, instantons and half-canonical curves, by A. Iliev and D. Markushevich; arXiv:math/9910133v2.
29. Geometry and algebra of prime Fano 3-folds of genus 12, by Frank-Olaf Schreyer, Compos. Math. 127 (2001) 297-319, arXiv:math/9911044.
30. Computation of maximal reachability submodules, by Wiland Schmale; arXiv:math/9911211v1.
31. Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra, by David Eisenbud, Sorin Popescu, and Sergey Yuzvinsky; arXiv:math/9912212v3.
32. Translated tori in the characteristic varieties of complex hyperplane arrangements, by Alexander I. Suciu; arXiv:math/9912227v3; appeared in: Topology and Appl. 118 (2002), 209-223.
33. Hardy-Weinberg theory for tetraploidy with mixed mating, by J. A. Vargas, Advances in Applied Mathematics 24 (2000) 369-383.
34. Non-general type surfaces in P⁴: Some remarks on bounds and constructions, by Wolfram Decker and Frank-Olaf Schreyer. J. Symb. Comput. 29 (2000) 545-582.
35. A rank two vector bundle associated to a three arrangement, and its Chern polynomial, Henry K. Schenck, Adv. Math. 149 (2000) 214-229.
36. Cellular binomial ideals. Primary decomposition of binomial ideals, by Ignacio Ojeda Martínez de Castilla; Ramón Piedra-Sánchez, Journal of Symbolic Computation, 30 (2000) 383-400, MR 2001g:13058.
37. Jacobian ideals of trilinear forms: an application of 1-genericity, by A. Guerrieri and I. Swanson, Journal of Algebra, 226 (2000) 410-435.
38. Possible resolutions for a given Hilbert function, by E. Graham Evans, Jr., and Benjamin P. Richert, preprint, 2000.
39. Polynomial and rational solutions of holonomic systems, by T. Oaku, N. Takayama, and H. Tsai; arXiv:math/0001064v1.
40. Calabi-Yau Threefolds and Moduli of Abelian Surfaces I, by Mark Gross and Sorin Popescu; arXiv:math/0001089v1.
41. Cohomology on Toric Varieties and Local Cohomology with Monomial Supports, by David Eisenbud, Mircea Mustata, and Mike Stillman; arXiv:math/0001159v1; appeared in: J. Symbolic Comput. 29 (2000), no. 4-5, 583-600.
42. Deformation of singular lagrangian subvarieties, by Duco van Straten and Christian Sevenheck, arXiv:math/0002083.
43. Computer Algebra and Algebraic Geometry - Achievements and Perspectives, by Gert-Martin Greuel; arXiv:math/0002247v1; appeared in: Centre for Computer Algebra, University of Kaiserslautern, Reports On Computer Algebra, No. 29 (2000).
44. Macaulay 2 and the geometry of schemes, by Gregory G. Smith and Bernd Sturmfels; arXiv:math/0003033v1; appeared in: In Computations in algebraic geometry with Macaulay 2, pp 55-70, Springer-Verlag, 2001.
45. Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles, by Tamas Hausel and Michael Thaddeus; arXiv:math/0003094v2.
46. Sheaf Cohomolog and Free Resolutions over Exterior Algebras, by David Eisenbud and Frank-Olaf Schreyer; arXiv:math/0005055v1.
47. Some conjectures about the Hilbert series of generic ideals in the exterior algebra, by Jan Snellman and Guillermo Moreno-Socias; arXiv:math/0007089v3; appeared in: Homology, homotopy and applications, volume 4, no 2, 2002, pages 409-426.
48. Computing homomorphisms between holonomic D-modules, by Harrison Tsai and Uli Walther; arXiv:math/0007139v1.
49. An excursion from enumerative goemetry to solving systems of polynomial equations with Macaulay 2, by Frank Sottile; arXiv:math/0007142v2; appeared in: Computations in Algebraic Geometry with Macaulay 2, edited by D. Eisenbud, D. Grayson, M. Stillman, and B. Sturmfels. ACM 8, Springer-Verlag, 2001. pp. 101-129.
50. The Center Variety of Polynomial Differential Systems, by Abdul Salam Jarrah, Reinhard Laubenbacher, and Valery Romanovski; arXiv:math/0009061v2.
51. Rank jumps in Codimension 2 A-Hypergeometric Systems, by Laura Felicia Matusevich; arXiv:math/0009148v1.
52. Syzygies of Oriented Matroids, by I. Novik, A. Postnikov, and B. Sturmfels; arXiv:math/0009241v1.
53. Bounding minimum distances of cyclic codes using algebraic geometry, by Nigel Boston; arXiv:math/0009257v1.
54. Hall invariants, homology of subgroups, and characteristic varieties, by Daniel Matei and Alexander I. Suciu; arXiv:math/0010046v1; appeared in: International Math. Research Notices 2002:9 (2002), 465-503.
55. Fundamental groups of line arrangements: Enumerative aspects, by Alexander I. Suciu; arXiv:math/0010105v2; appeared in: Contemporary Math., Amer. Math. Soc., vol. 276 (2001), pp. 43-79.
56. Algorithms for the Toric Hilbert Scheme, by Michael Stillman, Bernd Sturmfels, and Rekha R. Thomas; arXiv:math/0010130v1.
57. Annihilators of Ideals of Exterior Algebras, by Graham Denham and Sergey Yuzvinsky; arXiv:math/0010168v1.
58. Elliptic functions and equations of modular curves, by Lev Borisov, Paul Gunnells, and Sorin Popescu; arXiv:math/0010272v2.
59. Geometrical properties of sections of Buchsbaum-Rim sheaves, by Igor Burban and Hans-Georg Freiermuth; arXiv:math/0010276v1.
60. Elementary Transversality in the Schubert calculus in any Characteristic, by Frank Sottile; arXiv:math/0010319v2; appeared in: Michigan Math. J. 51 (2003), no. 3, 651-666.
61. Subalgebras of bigraded Koszul algebras, by Stefan Blum; arXiv:math/0011251v2.
62. The Inverse Gröbner basis Problem in Codimension Two, by Amelia Taylor, arXiv:math/0012044.
63. The vertex ideal of a lattice, by Serkan Hosten and Diane Maclagan; arXiv:math/0012197v1.
64. Describing coherent sheaves on projective spaces via Koszul duality, by Gunnar Floystad; arXiv:math/0012263v2.
65. On a conjecture of Rose, by Hal Schenck and John P. Dalbec, J. Pure Appl. Algebra 165 (2001) 151-154.
66. The Design and Implementation of OpenXM-RFC 100 and 101, by M. Maekawa, M. Noro, N. Takayama, Y. Tamura, K. Ohara, in: Computer Mathematics, Proceedings of the Fifth Asian Symposium (ASCM 2001), edited by Shirayanagi and Yokoyama, World Scientific, 102-111, 2001.
67. Computational Algebraic Geometry Today, gzipped postscript, gzipped pdf, by W. Decker and F.-O. Schreyer, in: Ciliberto, Ciro (ed.) et al., Applications of algebraic geometry to coding theory, physics and computation. Proceedings of the NATO advanced research workshop, Eilat, Israel, February 25-March 1, 2001. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 36, 65-119 (2001).
68. Artin-Schreier families and 2-D cyclic codes, by Cem Guneri, thesis, August, 2001, Louisiana State University.
69. Genetic Associations under Mixed-Mating Systems: The Bennett-Binet Effect, by J. A. Vargas and R. F. del Castillo, Mathematical Medicine and Biology, 18 (2001) 327-341.
70. Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: an algorithmic approach, by Anton Leykin, Effective methods in rings of differential operators, Journal of Symbolic Computation, 32 (2001) 663-675.
71. Problems and progress: survey on fat points in P2, by Brian Harbourne; arXiv:math/0101112v1.
72. Canonical curves and varieties of sums of powers of cubic polynomials, by Atanas Iliev and Kristian Ranestad; arXiv:math/0102130v1.
73. Algorithmic Determination of the Rational Cohomology of Complex Varieties via Differential Forms, by Uli Walther; arXiv:math/0103013v1.
74. Free divisors and duality for D-modules, by F. J. Castro-Jimenez and J. M. Ucha; arXiv:math/0103085v1.
75. Minimizing Polynomial Functions, by Pablo A. Parrilo and Bernd Sturmfels; arXiv:math/0103170v1; appeared in: Algorithmic and quantitative real algebraic geometry, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 60, pp. 83-99, AMS, 2003. ISBN: 0-8218-2863-0.
76. The Coloring Ideal and Coloring Complex of a Graph, by Einar Steingrimsson; arXiv:math/0104063v1.
77. Sheaf Cohomology and Free Resolutions over Exterior Algebras, by David Eisenbud, Gunnar Floystad, and Frank-Olaf Schreyer; arXiv:math/0104203v2.
78. Algebraic Unimodular Counting, by Jesus A. De Loera and Bernd Sturmfels; arXiv:math/0104286v1.
79. Exceptional parameters for generic A-hypergeometric systems, by Laura Felicia Matusevich, arXiv:math/0105030.
80. Lines Tangent to 2n-2 spheres in Rⁿ, by Frank Sottile and Thorsten Theobald; arXiv:math/0105180v2; appeared in: Trans. Amer. Math. Soc., 354 (2002), 4815-4829.
81. Gomory Integer Programs, by Serkan Hosten and Rekha R. Thomas; arXiv:math/0106031v1.
82. Geometry of the moduli space of Higgs bundles, by Tamas Hausel; arXiv:math/0107040v1.
83. Slopes of a Hypergeometric System Associated to a Monomial Curve, by F. J. Castro-Jimenez and N. Takayama; arXiv:math/0107046v1.
84. Geometric Syzygies of Canonical Curves of even Genus lying on a K3-Surface, by Hans-Christian v. Bothmer; arXiv:math/0108078v1.
85. Lower central series and free resolutions of hyperplane arrangements, by Henry K. Schenck and Alexander I. Suciu; arXiv:math/0109070v2; appeared in: Trans. Amer. Math. Soc. 354 (2002), 3409-3433.
86. Local Complete Intersections in P² and Koszul Syzygies, by David Cox and Hal Schenck; arXiv:math/0110097v1; appeared in: Proc. Amer. Math. Soc. 131 (2003), 2007-2014.
87. Decomposable Ternary Cubics, by Jaydeep V. Chipalkatti; arXiv:math/0110192v1.
88. On equations defining coincident root loci, by Jaydeep V Chipalkatti; arXiv:math/0110224v1.
89. Canonical rings of surfaces whose canonical system has base points, by I. C. Bauer, F. Catanese, and R. Pignatelli; arXiv:math/0111029v1.
90. Resultants and Chow forms via Exterior Syzygies, by David Eisenbud and Frank-Olaf Schreyer; arXiv:math/0111040v1; appeared in: Report-No: MSRI 2001-037.
91. A geometric construction of Tango bundle on P⁵, by Daniele Faenzi; arXiv:math/0111207v2.
92. Algebraic approach to time-delay data analysis for LISA, by S. V. Dhurandhar, K. Rajesh Nayak, and J-Y. Vinet; arXiv:gr-qc/0112059v2; appeared in: Phys.Rev. D70 (2004) 102003.
93. On Waring’s problem for several homogeneous forms, by Enrico Carlini and Jaydeep Chipalkatti; arXiv:math/0112110v1.
94. Normal cones of monomial primes, by R. Huebl and I. Swanson, preprint, 2002, to appear in Mathematics of Computation.
95. The first Mayr-Meyer ideal, by I. Swanson, preprint, 2002.
96. On the ideal of minors of matrices of linear forms, by A. Guerrieri and I. Swanson, preprint, 2002.
97. Cohomology vanishing and a problem in approximation theory, by Henry K. Schenck and Peter F. Stiller, Manuscripta Math. 107 (2002) 43-58.
98. Computing local cohomology in Macaulay 2, by Anton Leykin, in Local cohomology and its applications (Guanajuato, 1999), Lecture Notes in Pure and Appl. Math., 226, 195-205, Dekker, New York, 2002.
99. D-modules for Macaulay 2, by Anton Leykin, Mathematical software (Beijing, 2002), 169-179, World Sci. Publ., River Edge, NJ, 2002.
100. Shadows of blow-up algebras, by Paolo Aluffi; arXiv:math/0201228v2.
101. Geometric Syzygies of Mukai Varieties and General Canonical Curves with Genus at most 8, by Hans-Christian v. Bothmer; arXiv:math/0202133v1; appeared in: "Scrollar Syzygies of general canonical curves with genus at most 8", Trans. Amer. Math. Soc. 359 (2007), 465-488.
102. A Fitting Lemma for Z/2-graded modules, by David Eisenbud and Jerzy Weyman; arXiv:math/0202227v1.
103. On the cohomology of stable map spaces, by Kai Behrend and Anne O’Halloran; arXiv:math/0202288v1.
104. Analytic rigidity of K-trivial extremal contractions of smooth 3-folds, by Csilla Tamás; arXiv:math/0204015v1.
105. A new proof of the nonrationality of cubic threefolds, by Tawanda Gwena; arXiv:math/0204041v2.
106. Non-connected toric Hilbert schemes, by Francisco Santos; arXiv:math/0204044v3; appeared in: Mathematische Annalen, 332:3 (2005), 645-665.
107. Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic arrangements, by Uli Walther; arXiv:math/0204080v3.
108. Computing characteristic classes of projective schemes, by Paolo Aluffi; arXiv:math/0204230v1.
109. Algorithmic proofs of two theorems of Stafford, by Anton Leykin; arXiv:math/0204303v2.
110. Implicitization of surfaces in P³ in the presence of base points, by Laurent Buse, David Cox, and Carlos D’Andrea; arXiv:math/0205251v4; appeared in: J. Algebra Appl. 2 (2003), no. 2, 189-214.
111. Common transversals and tangents to two lines and two quadrics in P³, by Gábor Megyesi, Frank Sottile, and Thorsten Theobald; arXiv:math/0206044v1.
112. Symmetric iterated Betti numbers, by Eric Babson, Isabella Novik, and Rekha Thomas; arXiv:math/0206063v1.
113. Real k-flats tangent to quadrics in Rⁿ, by Frank Sottile and Thorsten Theobald; arXiv:math/0206099v4.
114. Effective Detection of Nonsplit Module Extensions, by Edward S. Letzter; arXiv:math/0206141v3.
115. Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras, by A. V. Jayanthan and J. K. Verma; arXiv:math/0206192v1.
116. Properties of the residual circle action on a toric hyperkahler variety, by Megumi Harada and Nicholas J. Proudfoot; arXiv:math/0207012v4.
117. Two applications of instanton numbers, by Elizabeth Gasparim; arXiv:math/0207074v1; appeared in: Isaac Newton Institute preprint NI02022-HDG (2002).
118. Test ideals in diagonal hypersurface rings II, by Moira A. McDermott; arXiv:math/0207109v2.
119. Canonical projections of irregular algebraic surfaces, by Fabrizio Catanese and Frank Olaf Schreyer, in Algebraic geometry, 79-116, de Gruyter, Berlin, 2002, arXiv:math/0207253, (Macaulay2 is not cited here, but several calculations were made with it).
120. Computing Instanton Numbers of Curve Singularities, by Elizabeth Gasparim and Irena Swanson; arXiv:math/0208069v4.
121. Geometry of the tetrahedron space, by Eric Babson, Paul E. Gunnells, and Richard Scott; arXiv:math/0208119v5.
122. Secant Varieties of Grasmann Varieties, by M. V. Catalisano, A. V. Geramita, and A. Gimigliano; arXiv:math/0208166v2.
123. The ring of arithmetical functions with unitary convolution: the [n]-truncation, by Jan Snellman; arXiv:math/0208183v1; appeared in: International Journal of Mathematics Game Theory and Algebra, 13 (2003), no. 6, 485-519.
124. (Bi-)Cohen-Macaulay simplicial complexes and their associated coherent sheaves, by Gunnar Floystad and Jon Eivind Vatne; arXiv:math/0209061v4.
125. The first Mayr-Meyer ideal, by Irena Swanson; arXiv:math/0209154v1.
126. Geometry of the Lagrangian Grassmannian Sp(3)/U(3) with applications to Brill-Noether loci, by Atanas Iliev and Kristian Ranestad; arXiv:math/0209169v2.
127. The minimal components of the Mayr-Meyer ideals, by Irena Swanson; arXiv:math/0209172v1.
128. What is the Rees Algebra of a Module?, by David Eisenbud, Craig Huneke, and Bernd Ulrich; arXiv:math/0209187v1.
129. Unhiggsing the del Pezzo, by Bo Feng, Sebastian Franco, Amihay Hanany, and Yang-Hui He, arXiv:hep-th/0209228.
130. A numerical characterization of the S₂-ification of a Rees algebra, by Catalin Ciuperca; arXiv:math/0209293v1.
131. Notes on the behavior of the Ratliff-Rush filtration, by Maria Evelina Rossi and Irena Swanson; arXiv:math/0209308v1.
132. On the embedded primes of the Mayr-Meyer ideals, by Irena Swanson; arXiv:math/0209344v1.
133. A new family of ideals with the doubly exponential ideal membership property, by Irena Swanson; arXiv:math/0209345v1.
134. Bipartite graphs whose edge algebras are complete intersections, by Mordechai Katzman; arXiv:math/0209348v1; appeared in: Journal of Algebra, 220 (1999) pp. 519-530.
135. Improving the Sensitivity of LISA, by K. Rajesh Nayak, A. Pai, S. V. Dhurandhar, and J-Y. Vinet; arXiv:gr-qc/0210014v1; appeared in: Class.Quant.Grav. 20 (2003) 1217-1232.
136. Todd classes of affine cones of Grassmannians, by Kazuhiko Kurano and Anurag K. Singh; arXiv:math/0210130v1; appeared in: International Mathematics Research Notices 35 (2002) 1841-1855.
137. Box-shaped matrices and the defining ideal of certain blowup surfaces, by Huy Tai Ha; arXiv:math/0210251v1; appeared in: J. Pure Appl. Algebra, 167 (2002), 203-224.
138. Castelnuovo-Mumford regularity: Examples of curves and surfaces, by Marc Chardin and Clare D’Cruz; arXiv:math/0210270v1.
139. Irregular elliptic surfaces of degree 12 in the projective fourspace, by Hirotachi Abo and Kristian Ranestad; arXiv:math/0210317v1.
140. The maximal spectral radius of a digraph with (m+1)² - s edges, by Jan Snellman; arXiv:math/0210365v4; appeared in: Electronic Journal of Linear Algebra, vol 10 (2003), pp 179-189.
141. Castelnuovo-Mumford regularity by approximation, by Harm Derksen and Jessica Sidman; arXiv:math/0211279v2.
142. Symmetry groups, semidefinite programs, and sums of squares, by Karin Gatermann and Pablo A. Parrilo; arXiv:math/0211450v1; appeared in: Journal of Pure and Appl. Algebra, Vol. 192, No. 1-3, pp. 95-128, 2004.
143. Large Volume Perspective on Branes at Singularities, by Martijn Wijnholt; arXiv:hep-th/0212021v3; appeared in: Adv.Theor.Math.Phys. 7 (2004) 1117-1153.
144. Toric ideals, real toric varieties, and the algebraic moment map, by Frank Sottile; arXiv:math/0212044v3; appeared in: in Topics in Algebraic Geometry and Geometric Modeling, Contemp. Math., 334, 2003., pp.225-240.
145. The Waring loci of ternary quartics, by Jaydeep Chipalkatti; arXiv:math/0212169v1.
146. Computations with Frobenius powers, by Susan M. Hermiller and Irena Swanson; arXiv:math/0212238v3.
147. Minimal graded Betti numbers and stable ideals, by Chris Francisco, Comm. Algebra 31 (2003), 4971-4987.
148. Symbolic Model Checking Using Algebraic Geometry, Volker Ecke, University of Massachusetts, PhD Thesis, February, 2003.
149. Castelnuovo-Mumford regularity: Examples of curves and surfaces by Marc Chardin and Clare D'Cruz, Journal of Algebra 270 (2003) 347-360.
150. Computing in algebraic geometry and commutative algebra using Macaulay 2,by Michael Stillman, 11 July 2003, doi:10.1016/S0747-7171(03)00096-8.
151. A resultant approach to detect intersecting curves in ℙ³, by Laurent Buse and Andre Galligo; arXiv:math/0301088v1.
152. Trees, parking functions, syzygies, and deformations of monomial ideals, by Alexander Postnikov and Boris Shapiro; arXiv:math/0301110v3.
153. Linear systems on a special rational surface, by Hal Schenck; arXiv:math/0301153v3; appeared in: Mathematical Research Letters 11 (2004) 697-713.
154. Algebraic Geometry of Bayesian Networks, by Luis David Garcia, Michael Stillman, and Bernd Sturmfels; arXiv:math/0301255v1.
155. Computing the Integer Programming Gap, by Serkan Hosten and Bernd Sturmfels; arXiv:math/0301266v1.
156. A note on the Intersection of Veronese Surfaces, by David Eisenbud, Klaus Hulek, and Sorin Popescu; arXiv:math/0302167v1.
157. Factorizations of some weighted spanning tree enumerators, by Jeremy L. Martin and Victor Reiner; arXiv:math/0302213v2; appeared in: J. Combin. Theory Ser. A 104, no. 2 (2003), pp. 287-300.
158. Computing the tight closure in dimension two, by Holger Brenner; arXiv:math/0303116v2.
159. Methods for Computing Normalisations of Affine Rings, by Amelia Taylor; arXiv:math/0304007v1; appeared in: Advances in ALGEBRA and GEOMETRY (University of Hyderabad Conference 2001) , 279-295, Hindustan Book Agency, India, 2003.
160. Geometric syzygies of elliptic normal curves and their secant varieties, by Hans-Christian v. Bothmer and Klaus Hulek; arXiv:math/0304331v1; appeared in: manuscripta mathematica, Volume 113, Number 1, Jan. 2004, pp 35-68.
161. The envelope of lines meeting a fixed line that are tangent to two spheres, by Gábor Megyesi and Frank Sottile; arXiv:math/0304346v2.
162. Computations with moduli of perverse point sheaves, by Dan Abramovich and Jiun C. Chen; arXiv:math/0304353v2.
163. Cryptanalysis of HFE, by Ilia Toli; arXiv:cs/0305034v3.
164. Multigraded Castelnuovo-Mumford Regularity, by Diane Maclagan and Gregory G. Smith; arXiv:math/0305214v1; appeared in: Journal fur die reine und angewandte Mathematik (Crelle's Journal) 571 (2004) 179-212.
165. Uniform bounds on multigraded regularity, by Diane Maclagan and Gregory G. Smith; arXiv:math/0305215v1; appeared in: Journal of Algebraic Geometry, 14 (2005) 137-164.
166. Nonvanishing cohomology and classes of Gorenstein rings, by David A. Jorgensen and Liana M. Sega; arXiv:math/0306001v2.
167. The equivariant Orlik-Solomon algebra, by Nicholas J. Proudfoot; arXiv:math/0306013v2.
168. A family of metrics on contact structures based on edge ideals, by Mercé Llabrés and Francesc Rosselló; arXiv:cs/0306097v1.
169. Some schemes related to the commuting variety, by Allen Knutson; arXiv:math/0306275v1.
170. Elementary modifications and line configurations in P², by Henry K. Schenck; arXiv:math/0307035v1; appeared in: Comment. Math. Helv. 78 (2003) 447-462.
171. Chen Lie algebras, by Stefan Papadima and Alexander I. Suciu, International Mathematics Research Notices (2004) 1057-1086, arXiv:math/0307087.
172. Defining equations of subspace arrangements embedded in reflection arrangements, by Jessica Sidman; arXiv:math/0307280v2.
173. Short Rational Functions for Toric Algebra and Applications, by Jesus De Loera, David Haws, Raymond Hemmecke, Peter Huggins, Bernd Sturmfels, and Ruriko Yoshida; arXiv:math/0307350v1.
174. Last syzygies of 1-generic spaces, by Hans-Christian v. Bothmer; arXiv:math/0307361v1; appeared in: Journal of Algebra, Volume 278, Issue 1, 2004, pp 360-369.
175. On the topology of graph picture spaces, by Jeremy L. Martin; arXiv:math/0307405v2; appeared in: Adv. Math. 191, no. 2 (2005), 312-338.
176. Mahler’s Measure and the Dilogarithm (II), by David W. Boyd, Fernando Rodriguez-Villegas, and Nathan M. Dunfield; arXiv:math/0308041v2.
177. Groebner bases, initial ideals and initial algebras, by Winfried Bruns and Aldo Conca; arXiv:math/0308102v1.
178. Toric Initial Ideals of Δ-Normal Configurations: Cohen-Macaulayness and Degree Bounds, by Edwin O’Shea and Rekha R. Thomas; arXiv:math/0308109v1.
179. Hilbert functions of irreducible arithmetically Gorenstein schemes, by Nero Budur, Marta Casanellas, and Elisa Gorla; arXiv:math/0308208v1.
180. Rees Algebras of Conormal Modules, by Jooyoun Hong; arXiv:math/0308272v1.
181. Markov bases of binary graph models, by Mike Develin and Seth Sullivant; arXiv:math/0308280v1.
182. Bivariate hypergeometric D-modules, by Alicia Dickenstein, Laura Matusevich, and Timur Sadykov; arXiv:math/0310003v2.
183. Exemples de surfaces canoniques de ℙ⁶ et de solides de Calabi-Yau de ℙ⁷, by Marie-Amélie Bertin; arXiv:math/0310353v1.
184. Degree 1 Curves in the Dwork Pencil and the Mirror Quintic, by Anca Mustata; arXiv:math/0311252v1.
185. Coincident root loci of binary forms, by L. M. Feher, A. Nemethi, and R. Rimanyi; arXiv:math/0311312v1.
186. A Computational Algebra Approach to the Reverse Engineering of Gene Regulatory Networks, by Reinhard Laubenbacher and Brandilyn Stigler; arXiv:q-bio/0312026v1; appeared in: Journal of Theoretical Biology 229 (2004) 523-537.
187. On the rank of a tropical matrix, by M. Develin, F. Santos, and B. Sturmfels; arXiv:math/0312114v2; appeared in: In "Discrete and Computational Geometry" (E. Goodman, J. Pach and E. Welzl, eds), MSRI Publications, Cambridge Univ. Press, 2005. ISBN-10: 0521848628.
188. Almost complete intersections and the Lex-Plus-Powers Conjecture, by Chris Francisco, J. Algebra 276 (2004), no. 2, 737-760.
189. On the projective geometry of curves of genus one, and an algorithm for the jacobian of such a curve, by Alexander R. Perlis, Ph.D. Dissertation, University of Arizona, 2004.
190. Symbolic powers of edge ideals, by Carlos E. N. Bahiano, Journal of Algebra 273 (2004) 517-537.
191. Subspace arrangements defined by products of linear forms, by Anders Björner, Irena Peeva, and Jessica Sidman; arXiv:math/0401373v3.
192. The unirationality of the moduli space of curves of genus ≤14, by Alessandro Verra; arXiv:math/0402032v1.
193. Combinatorics of rank jumps in simplicial hypergeometric systems, by Laura Felicia Matusevich and Ezra Miller; arXiv:math/0402071v1.
194. Canonical surfaces in P⁴ and Gorenstein algebras in codimension 2, by Christian Böhning; arXiv:math/0402369v1.
195. Generic initial ideals of points and curves, by Aldo Conca and Jessica Sidman; arXiv:math/0402418v2.
196. Arithmetic degree and associated graded modules, by Natale Paolo Vinai; arXiv:math/0402455v1.
197. Atiyah Jones conjecture for blown-up surfaces, by Elizabeth Gasparim; arXiv:math/0403138v5; appeared in: Advances in Math. (2008).
198. Vector bundles near negative curves: moduli and local Euler characteristic, by Edoardo Ballico, Elizabeth Gasparim, and Thomas Köppe; arXiv:math/0404012v4.
199. A quick and dirty irreducibility Test for Multivariate Polynomials over F_q, by H. -C. Graf v. Bothmer and F. -O. Schreyer; arXiv:math/0404342v1; appeared in: Experimental Mathematics, Vol. 14 (2005), No. 4, pp 415-422.
200. A new family of rational surfaces in P⁴, by Hans-Christian Graf v. Bothmer, Cord Erdenberger, and Katharina Ludwig; arXiv:math/0404492v1; appeared in: J. Symbolic Comput. 39 (2005), no. 1, 51-60.
201. Restricting linear syzygies: algebra and geometry, by David Eisenbud, Mark Green, Klaus Hulek, and Sorin Popescu; arXiv:math/0404516v1.
202. Small schemes and varieties of minimal degree, by David Eisenbud, Mark Green, Klaus Hulek, and Sorin Popescu; arXiv:math/0404517v5.
203. Non-rational nodal quartic threefolds, by Ivan Cheltsov; arXiv:math/0405150v1.
204. The line geometry of resonance varieties, by Michael Falk; arXiv:math/0405210v2.
205. Hyperkahler analogues of Kahler quotients, by Nicholas J. Proudfoot; arXiv:math/0405233v1; appeared in: Ph. D. thesis, U.C. Berkeley, Spring 2004.
206. A regularity result for a locus of Brill type, by Abdelmalek Abdesselam and Jaydeep Chipalkatti, arXiv:math/0405236.
207. Multigraded regularity: syzygies and fat points, by Jessica Sidman and Adam Van Tuyl; arXiv:math/0405247v3.
208. Symmetric measures via moments, by Alexey Koloydenko; arXiv:math/0406173v2; appeared in: Bernoulli 2008, Vol. 14, No. 2, 362-390.
209. Extended degree functions and monomial modules, by Uwe Nagel and Tim Roemer; arXiv:math/0406409v1.
210. Phylogenetic invariants for stationary base composition, by Elizabeth S. Allman and John A. Rhodes; arXiv:q-bio/0407035v1.
211. Multiplicities of the Most Singular Point on Schubert varieties on Gl(n)/B for n=5,6, by Alexander Woo; arXiv:math/0407158v1.
212. Solving the Likelihood Equations, by Serkan Hosten, Amit Khetan, and Bernd Sturmfels; arXiv:math/0408270v2.
213. Bernstein-Sato polynomials of arbitrary varieties, by Nero Budur, Mircea Mustata, and Morihiko Saito; arXiv:math/0408408v6.
214. A conjecture on the Poincaré-Betti series of modules of differential operators on a generic hyperplane arrangement, by Jan Snellman; arXiv:math/0408437v2; appeared in: Experimental Mathematics, vol 14, number 4, 2005, pp 445-456.
215. Time-Delay Interferometry, by Massimo Tinto and Sanjeev V. Dhurandhar; arXiv:gr-qc/0409034v2; appeared in: LivingRev.Rel.8:4,2005.
216. Some Geometric Results arising from the Borel Fixed Property, by Jeaman Ahn and Juan C. Migliore; arXiv:math/0409114v1.
217. Random Variables with Completely Independent Subcollections, by George A. Kirkup; arXiv:math/0409237v1.
218. Frobenius-unstable bundles and p-curvature, by Brian Osserman; arXiv:math/0409266v1.
219. A case study in bigraded commutative algebra, by David Cox, Alicia Dickenstein, and Hal Schenck; arXiv:math/0409462v2.
220. Brauer loops and the commuting variety, by Jan de Gier and Bernard Nienhuis; arXiv:math/0410392v2; appeared in: JSTAT (2005), P01006.
221. The Multiplicity Conjecture in low codimensions, by Juan C. Migliore, Uwe Nagel, and Tim Römer; arXiv:math/0410497v1.
222. Resolutions of small sets of fat points, by Christopher Francisco; arXiv:math/0411020v2; appeared in: J. Pure Appl. Algebra 203 (2005), 220-236.
223. Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres, by F. J. Calderon-Moreno and L. Narvaez-Macarro; arXiv:math/0411045v2; appeared in: Annales de l'Institut Fourier 55, 1 (2005),47-75.
224. Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad), by Hirotachi Abo; arXiv:math/0411051v1.
225. The 3-cuspidal quartic and braid monodromy of degree 4 coverings, by Fabrizio Catanese and Bronislaw Wajnryb; arXiv:math/0411235v3.
226. Rational curves of degree 10 on a general quintic threefold, by Ethan Cotterill; arXiv:math/0412002v2.
227. On the arithmetic of tight closure, by Holger Brenner and Mordechai Katzman; arXiv:math/0412033v2.
228. Algebraic invariants for right-angled Artin groups, by Stefan Papadima and Alexander I. Suciu; arXiv:math/0412520v2; appeared in: Mathematische Annalen 334 (2006), no. 3, 533-555.
229. Lex-plus-powers ideals, by C. A. Francisco and B. P. Richert, preprint, February 2005, http://www.math.missouri.edu/~chrisf/lpp-revised-final.pdf, to appear, Lect. Notes Pure Appl. Math.
230. Multiplicity conjectures, by C. A. Francisco and H. Srinivasan, preprint, March 2005, to appear, Lect. Notes Pure Appl. Math, http://www.math.missouri.edu/~chrisf/multiplicity-final.pdf.
231. Polytopes, toric varieties, and ideals, by Lisa Byrne, http://www.mtholyoke.edu/~jsidman/byrnePaper.pdf, Mount Holyoke REU paper, Summer, 2005.
232. Selfatopes and their properties, Sarah Gilles, http://www.mtholyoke.edu/~jsidman/gillesPaper.pdf, Mount Holyoke REU paper, Summer, 2005.
233. Algorithms for even-sided selfagons, by Frances Worek, http://www.mtholyoke.edu/~jsidman/worekPaper.pdf, Mount Holyoke REU paper, Summer, 2005.
234. Derivation modules of orthogonal duals of hyperplane arrangements, by Joseph P. S. Kung and Hal Schenck, preprint, October 2005, to appear in Journal of Algebraic Combinatorics, http://www.math.tamu.edu/~schenck/PD.pdf.
235. NonGorenstein Unprojection, by Stavros Papadakis, preprint, November 2005.
236. Degeneracy of two and three forms, by L. M. Feher, A. Nemethi, and R. Rimanyi, Canad. Math. Bull. 48 (2005) 547-560, http://www.unc.edu/~rimanyi/cikkek/formak6.ps.gz.
237. The torsion index of E_8 and other groups, by B. Totaro, Duke Math. J. 129 (2005), 219-248.
238. The unirationality of the moduli space of étale double covers of genus five curves, by Marco Lo Giudice, PhD thesis, Univ. of Milan.
239. Integral Closure of Ideals, Rings, and Modules, by Irena Swanson and Craig Huneke, Cambridge University Press, London Mathematical Society Lecture Note Series 336, Cambridge, 2006, ISBN-13:9780521688604, ISBN-10:0521688604.
240. Algebraic Statistics for Computational Biology, by L. Pachter and B. Sturmfels, Cambridge University Press, 2005.
241. Involutive Algorithms for Computing Groebner Bases, by Vladimir P. Gerdt; arXiv:math/0501111v1.
242. A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces, by Willem A. de Graaf, Michael Harrison, Jana Pilnikova, and Josef Schicho; arXiv:math/0501157v2.
243. The generic Groebner walk, by K. Fukuda, A. N. Jensen, N. Lauritzen, and R. Thomas; arXiv:math/0501345v3; appeared in: J. Symb. Comp. 42 (2007), 298-312.
244. M₁₅ is rationally connected, by Andrea Bruno and Alessandro Verra; arXiv:math/0501455v1.
245. Conjectures on the ring of commuting matrices, by Freyja Hreinsdottir; arXiv:math/0501465v1.
246. Syzygies, multigraded regularity and toric varieties, by Milena Hering, Hal Schenck, and Gregory G. Smith; arXiv:math/0502240v2; appeared in: Compositio Mathematica 142 (2006) 1499-1506.
247. Secant varieties of toric varieties, by David Cox and Jessica Sidman; arXiv:math/0502344v4.
248. Computation of Poincare-Betti series for monomial rings, by Mikael Johansson; arXiv:math/0502348v1; appeared in: Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85-94 (2006).
249. Minimizing Polynomials Over Semialgebraic Sets, by Jiawang Nie, James W. Demmel, and Victoria Powers; arXiv:math/0502391v1.
250. On the homotopy Lie algebra of an arrangement, by Graham Denham and Alexander I. Suciu; arXiv:math/0502417v2; appeared in: Michigan Mathematical Journal 54 (2006), no. 2, 319-340.
251. Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence, by Henry K. Schenck and Alexander I. Suciu; arXiv:math/0502438v2; appeared in: Trans. Amer. Math. Soc. 358 (2006), no. 5, 2269-2289.
252. Moment angle complexes, monomial ideals, and Massey products, by Graham Denham and Alexander I. Suciu, preprint, December 2005, arXiv:math/0502497.
253. The bipartite Brill-Gordan locus and angular momentum, by Abdelmalek Abdesselam and Jaydeep Chipalkatti, arXiv:math/0502542.
254. Apolar schemes of algebraic forms, by Jaydeep Chipalkatti, arXiv:math/0503106.
255. Implicitization using approximation complexes, by Marc Chardin; arXiv:math/0503180v1.
256. On the componentwise linearity and the minimal free resolution of a tetrahedral curve, by Christopher A. Francisco, Juan C. Migliore, and Uwe Nagel; arXiv:math/0503278v2; appeared in: J. Algebra 299 (2006), no. 2, 535-569.
257. Tropical Convexity via Cellular Resolutions, by Florian Block and Josephine Yu; arXiv:math/0503279v3.
258. Fibrations of low genus, I., by Fabrizio Catanese and Roberto Pignatelli, to appear in Annales ENS after revision, arXiv:math/0503294.
259. On the Castelnuovo-Mumford regularity of ideals, in dimension 2, by Marc Chardin and Amadou Lamine Fall; arXiv:math/0503740v1.
260. Counting monomials, by Mordechai Katzman; arXiv:math/0504113v1.
261. Mixed multiplicities of ideals versus mixed volumes of polytopes, by Ngo Viet Trung and Jugal Verma; arXiv:math/0504178v1.
262. A presentation for the Chow ring of M_0,2(P¹,2), by Jonathan A. Cox; arXiv:math/0504575v2.
263. A presentation for the Chow ring A^*(M_0,2(P¹,2)), by Jonathan A. Cox; arXiv:math/0505112v1.
264. Moduli of McKay quiver representations I: the coherent component, by Alastair Craw, Diane Maclagan, and Rekha R. Thomas; arXiv:math/0505115v2.
265. Extensions of the Multiplicity Conjecture, by Juan Migliore, Uwe Nagel, and Tim Roemer; arXiv:math/0505229v1.
266. Factoring the Adjoint and Maximal Cohen--Macaulay Modules over the Generic Determinant, by Ragnar-Olaf Buchweitz and Graham J. Leuschke; arXiv:math/0505315v2.
267. Endomorphism rings of finite global dimension, by Graham J. Leuschke; arXiv:math/0505323v1.
268. Multigraded regularity: coarsenings and resolutions, by Jessica Sidman, Adam Van Tuyl, and Haohao Wang; arXiv:math/0505421v2.
269. Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach, by Nero Budur, Mircea Mustata, and Morihiko Saito; arXiv:math/0505472v1; appeared in: Math. Res. Lett. 13 (2006), no. 1, 125-142.
270. Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals, by Nero Budur, Mircea Mustata, and Morihiko Saito; arXiv:math/0505473v1.
271. Experimental results for the Poincaré center problem, by Hans-Christian Graf v. Bothmer, including an appendix with M. Cremer, arXiv:math/0505547, to appear in NoDEA.
272. New approaches to bounding the multiplicity of an ideal, by Christopher A. Francisco; arXiv:math/0506024v1; appeared in: J. Algebra 299 (2006), no. 1, 309-328.
273. Combinatorial secant varieties, by Bernd Sturmfels and Seth Sullivant; arXiv:math/0506223v3.
274. Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves, by David Eisenbud and Frank-Olaf Schreyer; arXiv:math/0506391v2.
275. Exceptional collections and D-branes probing toric singularities, by Christopher P. Herzog and Robert L. Karp; arXiv:hep-th/0507175v3; appeared in: JHEP 0602 (2006) 061.
276. Monomial ideals via square-free monomial ideals, by Sara Faridi; arXiv:math/0507238v1.
277. Solvability of Symmetric Word Equations in Positive Definite Letters, by Scott N. Armstrong and Christopher J. Hillar; arXiv:math/0507306v4.
278. Resolutions of De Concini-Procesi ideals indexed by hooks, by Riccardo Biagioli, Sara Faridi, and Mercedes Rosas; arXiv:math/0507611v1.
279. Permutation branes and linear matrix factorisations, by Håkon Enger, Andreas Recknagel, and Daniel Roggenkamp; arXiv:hep-th/0508053v2; appeared in: JHEP0601:087,2006.
280. A Modular Non-Rigid Calabi-Yau Threefold, by Edward Lee; arXiv:math/0508127v2.
281. The residuals of lex plus powers ideals and the Eisenbud-Green-Harris conjecture, by Benjamin P. Richert and Sindi Sabourin; arXiv:math/0508334v1.
282. Computing all roots of the likelihood equations of seemingly unrelated regressions, by Mathias Drton; arXiv:math/0508437v1.
283. Exterior algebra methods for the construction of rational surfaces in the projective fourspace, by Hirotachi Abo and Frank-Olaf Schreyer; arXiv:math/0508582v1.
284. Some families of componentwise linear monomial ideals, by Christopher A. Francisco and Adam Van Tuyl; arXiv:math/0508589v2.
285. The Circuit Ideal of a Vector Configuration, by Tristram Bogart, Anders N. Jensen, and Rekha R. Thomas; arXiv:math/0508628v1.
286. An algorithmic approach to resolutions, by Edward L. Green and Øyvind Solberg; arXiv:math/0509020v1.
287. Ideal Turaev-Viro invariants, by Simon A. King; arXiv:math/0509187v1; appeared in: Topology and Its Applications 154 (2007), pp. 1141-1156.
288. Algebraic Factor Analysis: Tetrads, Pentads and Beyond, by Mathias Drton, Bernd Sturmfels, and Seth Sullivant; arXiv:math/0509390v2.
289. On ideals of minors of matrices with indeterminate entries, by Mordechai Katzman; arXiv:math/0509657v2.
290. Minimal Primes Over Permanental Ideals, by George Kirkup; arXiv:math/0510025v1.
291. The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomology, by J. C. Liu and M. W. Rogers; arXiv:math/0510322v1.
292. Even sets of nodes on sextic surfaces, by Fabrizio Catanese and Fabio Tonoli, arXiv:math/0510499.
293. Betti Numbers and Degree Bounds for Some Linked Zero-Schemes, by Leah Gold, Hal Schenck, and Hema Srinivasan; arXiv:math/0510552v1.
294. Sequentially Cohen-Macaulay edge ideals, by C. A. Francisco and A. Van Tuyl, arXiv:math/0511022, to appear, Proc. Amer. Math. Soc..
295. Vacuum Geometry and the Search for New Physics, by James Gray, Yang-Hui He, Vishnu Jejjala, and Brent D. Nelson; arXiv:hep-th/0511062v2; appeared in: Phys.Lett. B638 (2006) 253-257.
296. A probabilistic algorithm for the secant defect of Grassmann varieties, by Barbara McGillivray; arXiv:math/0511683v1.
297. A Calabi-Yau threefold with Brauer group (Z/8Z)², by Mark Gross and Simone Pavanelli; arXiv:math/0512182v1.
298. Level algebras with bad properties, by Mats Boij and Fabrizio Zanello; arXiv:math/0512198v3; appeared in: Proc. Amer. Math. Soc. 135 (2007), no. 9, 2713-2722.
299. Moment-angle complexes, monomial ideals, and Massey products, by Graham Denham and Alexander I. Suciu; arXiv:math/0512497v4; appeared in: Pure and Applied Mathematics Quarterly, 3(1) 2007, (Robert MacPherson special issue, part 3), 25-60.
300. Balanced normal cones and Fulton-MacPherson’s intersection theory, by Allen Knutson; arXiv:math/0512632v1.
301. Cohomology of Tango bundle on P⁵, by Daniele Faenzi, Boll. Un. Mat. It., to appear (some time after April 10, 2006).
302. A probabilistic algorithm for the secant defect of Grassmann varieties, by Barbara McGillivray, Linear Algebra and its Applications, to appear, 2006.
303. An improved term ordering for the ideal of commuting matrices, by Freyja Hreinsdóttir, Journal of Symbolic Computation 41 (2006) 999-1003.
304. Computing the support of local cohomology modules, by Josep ÀAlvarez Montaner and Anton Leykin, Journal of Symbolic Computation, 41 (2006) 1328-1344.
305. Toric geometry of cuts and splits, by S. Sullivant and B. Sturmfels, Michigan Math. Journal, to appear.
306. Algebraic factor analysis: tetrads, pentads and beyond, by M. Drton, B. Sturmfels and S. Sullivant, Probability Theory and Related Fields, to appear.
307. Quiver coefficients of Dynkin type, by Anders Skovsted Buch, http://math.rutgers.edu/~asbuch/papers/quivcoef.pdf.
308. A Grothendieck Module with Applications to Rationality of the Poincaré Series, thesis, 2006, Indiana University, Bloomington.
309. Saturation and Castelnuovo-Mumford regularity, by I. Bermejo and Ph. Gimenez, Journal of Algebra 303 (2006) 592-617.
310. On the ideals and singularities of secant varieties of Segre varieties, by J. M. Landsberg and Jerzy Weyman; arXiv:math/0601452v2.
311. An algebraic formula for the index of a vector field on an isolated complete intersection singularity, by H. -Chr. Graf von Bothmer, W. Ebeling, and X. Gomez-Mont; arXiv:math/0601640v3; appeared in: Annales de l'Institut Fourier, Vol. 58 no. 5 (2008), p. 1761-1783.
312. On the Jacobian ideal of the binary discriminant, by Carlos D'Andrea and Jaydeep Chipalkatti (with an appendix by Abdelmalek Abdesselam), arXiv:math/0601705 *.
313. The Horrocks-Mumford bundle restricted to planes, by Ada Boralevi; arXiv:math/0602002v2.
314. Higher-Order Deflation for Polynomial Systems with Isolated Singular Solutions, by Anton Leykin, Jan Verschelde, and Ailing Zhao; arXiv:math/0602031v2.
315. The pinched Veronese is Koszul, by Giulio Caviglia; arXiv:math/0602487v1.
316. Further properties of a function of Ogg and Ligozat, by Carlos Castano-Bernard; arXiv:math/0603016v1.
317. Epistasis and Shapes of Fitness Landscapes, by Niko Beerenwinkel, Lior Pachter, and Bernd Sturmfels; arXiv:q-bio/0603034v2.
318. On the Cox ring of Del Pezzo surfaces, by Ulrich Derenthal; arXiv:math/0603111v1.
319. Multinets, resonance varieties, and pencils of plane curves, by Michael Falk and Sergey Yuzvinsky; arXiv:math/0603166v6.
320. Governing Singularities of Schubert Varieties, by Alexander Woo and Alexander Yong; arXiv:math/0603273v2; appeared in: J. Algebra, Vol. 320 (2008), No. 2, p. 495-520.
321. Classification of rational surfaces of degree 11 and sectional genus 11 in P⁴, by Hans-Christian Graf v. Bothmer and Kristian Ranestad; arXiv:math/0603567v2; appeared in: Math. Scand. 104 (2009), 60\^a?"94.
322. Derivation modules of orthogonal duals of hyperplane arrangements, by Joseph P. S. Kung and Hal Schenck; arXiv:math/0604168v1.
323. Free resolutions of parameter ideals over some rings with finite local cohomology, by Hamid Rahmati; arXiv:math/0604178v1.
324. Exploring the Vacuum Geometry of N=1 Gauge Theories, by James Gray, Yang-Hui He, Vishnu Jejjala, and Brent D. Nelson; arXiv:hep-th/0604208v1; appeared in: Nucl.Phys.B750:1-27,2006.
325. Algebraic computation of some intersection D-modules, by F. J. Calderon-Moreno and L. Narvaez-Macarro; arXiv:math/0604287v1.
326. Hyperdeterminantal relations among symmetric principal minors, by Olga Holtz and Bernd Sturmfels; arXiv:math/0604374v2; appeared in: Journal of Algebra, 316 (2007), no.2, 634-648.
327. Minimal Betti Numbers, by Christopher Dodd, Andrew Marks, Victor Meyerson, and Ben Richert; arXiv:math/0604479v2.
328. On self-associated sets of points in small projective spaces, by Ivan Petrakiev; arXiv:math/0604518v1.
329. Reverse-engineering of polynomial dynamical systems, by Abdul Salam Jarrah, Reinhard Laubenbacher, Brandilyn Stigler, and Michael Stillman; arXiv:q-bio/0605032v1.
330. The Casas-Alvero conjecture for infinitely many degrees, by Hans-Christian Graf von Bothmer, Oliver Labs, Josef Schicho, and Christiaan van de Woestijne; arXiv:math/0605090v2; appeared in: Journal of Algebra, Volume 316, Issue 1, 1 October 2007, Pages 224-230.
331. On the geometry of quiver gauge theories (Stacking exceptional collections), by Christopher P. Herzog and Robert L. Karp; arXiv:hep-th/0605177v2.
332. An explicit construction of ruled surfaces, by Alberto Alzati and Fabio Tonoli; arXiv:math/0605226v1.
333. Whiskers and sequentially Cohen-Macaulay graphs, by Christopher A. Francisco and Huy Tai Ha; arXiv:math/0605487v2; appeared in: J. Combin. Theory Ser. A 115 (2008), no. 2, 304-316.
334. Tetrahedral curves via graphs and Alexander duality, by Christopher A. Francisco; arXiv:math/0605588v2.
335. Special Linear Series and Syzygies of Canonical Curves of Genus 9, by Michael Sagraloff; arXiv:math/0605758v1.
336. On meromorphic functions defined by a differential system of order 1, II, by Tristan Torrelli; arXiv:math/0605787v1.
337. Algorithmic Algebraic Geometry and Flux Vacua, by James Gray, Yang-Hui He, André Lukas, JHEP 0609 (2006) 031, arXiv:hep-th/0606122.
338. Computing the support of local cohomology modules, by Josep Àlvarez Montaner and Anton Leykin; arXiv:math/0606142v2.
339. Computing Groebner bases of ideals of few points in high dimensions, by Winfried Just and Brandilyn Stigler; arXiv:math/0606189v2; appeared in: Communications in Computer Algebra 40 (3): 65-96, 2006.
340. Minimal free resolutions and asymptotic behavior of multigraded regularity, by Huy Tai Ha and Brent Strunk; arXiv:math/0606312v2.
341. Toric geometry of cuts and splits, by Bernd Sturmfels and Seth Sullivant; arXiv:math/0606683v2.
342. Induction for secant varieties of Segre varieties, by Hirotachi Abo, Giorgio Ottaviani, and Chris Peterson; arXiv:math/0607191v3.
343. Moduli spaces of curves with linear series and the slope conjecture, by Deepak Khosla; arXiv:math/0608024v1.
344. Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics, by Sergio Benvenuti, Bo Feng, Amihay Hanany, Yang-Hui He, arXiv:hep-th/0608050.
345. On the toric algebra of graphical models, by Dan Geiger, Christopher Meek, and Bernd Sturmfels; arXiv:math/0608054v1; appeared in: Annals of Statistics 2006, Vol. 34, No. 3, 1463-1492.
346. Towards a general theory of unprojection, by Stavros Papadakis; arXiv:math/0608158v1.
347. Projective toric varieties as fine moduli spaces of quiver representations, by Alastair Craw and Gregory G. Smith; arXiv:math/0608183v2; appeared in: American Journal of Mathematics 130 (2008) 1509-1534.
348. One higher dimensional analog of jet schemes, by Cornelia Yuen; arXiv:math/0608633v1.
349. Three Applications of Instanton Numbers, by Elizabeth Gasparim and Pedro Ontaneda; arXiv:math-ph/0609042v1; appeared in: Commun.Math.Phys.270:1-12,2007.
350. The minimal resolutions of double points in P¹ x P¹ with ACM support, by Elena Guardo and Adam Van Tuyl; arXiv:math/0609564v2.
351. Regularity and Normality of the Secant Variety to a Projective Curve, by Peter Vermeire; arXiv:math/0610081v3.
352. The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes, by Paul S. Aspinwall, arXiv:hep-th/0610209.
353. Groebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces, by Mike Stillman, Damiano Testa, and Mauricio Velasco; arXiv:math/0610261v1.
354. Three Counterexamples on Semigraphoids, by Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, and Oliver Wienand; arXiv:math/0610451v1.
355. Resonance varieties over fields of positive characteristic, by Michael Falk; arXiv:math/0611008v1.
356. On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces, by Joshua P. Mullet; arXiv:math/0611338v1.
357. On the projective dimension and the unmixed part of three cubics, by Bahman Engheta; arXiv:math/0611552v1; appeared in: Journal of Algebra 316 (2007), 715-734.
358. The Algebraic Degree of Semidefinite Programming, by Jiawang Nie, Kristian Ranestad, and Bernd Sturmfels; arXiv:math/0611562v3.
359. Prolongations and computational algebra, by Jessica Sidman and Seth Sullivant; arXiv:math/0611696v3.
360. The characteristic polynomial of a multiarrangement, by Takuro Abe, Hiroaki Terao, and Max Wakefield; arXiv:math/0611742v1; appeared in: Advances in Math. 215 (2007), 825-838.
361. Moduli of McKay quiver representations II: Groebner basis techniques, by Alastair Craw, Diane Maclagan, and Rekha R. Thomas; arXiv:math/0611840v2.
362. Low-dimensional Singularities with Free Divisors as Discriminants, by Ragnar-Olaf Buchweitz, Wolfgang Ebeling, and Hans-Christian Graf v. Bothmer; arXiv:math/0612119v2; appeared in: J. Algebraic Geom. 18 (2009), 371-406.
363. Mixed Hodge polynomials of character varieties, by Tamas Hausel and Fernando Rodriguez-Villegas; arXiv:math/0612668v3.
364. Whiskers and sequentially Cohen-Macaulay graphs, by C. A. Francisco and H. Tai Ha, preprint, 2006, arXiv:math/065487.
365. Resolutions and subspace arrangements, by J. Sidman, preprint, October, 2005, http://www.mtholyoke.edu/~jsidman/papers/res.pdf, to appear in the book "Syzygies and Hilbert Functions," edited by Irena Peeva, available March 26, 2007.
366. Scrollar syzygies of general canonical Curves with genus < 8, by H.-Chr. Graf v. Bothmer, Trans. Amer. Math. Soc. 359 (2007), 465-488.
367. Analysis of epistatic interactions and fitness landscapes using a new geometric approach, by Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels, Santiago F. Elena, and Richard E. Lenski, BMC Evolutionary Biology 7:60 (2007).
368. Computational algebra and combinatorics of toric ideals, by Diane Maclagan and Rekha R. Thomas, with the co-operation of Sara Faridi, Leah Gold, A. V. Jayanthan, Amit Khetan and Tony Puthenpurakal; Ramanujan Math. Soc. Lect. Notes Ser., 4, Commutative algebra and combinatorics, Part I: vi+106 pp., Ramanujan Math. Soc., Mysore, 2007.
369. An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection, by I. Bermejo, I. Garcia-Marco, and J. J. Salazar-Gonzalez, Journal of Symbolic Computation 42 (2007) 971-991.
370. DMTCP: Transparent Checkpointing for Cluster Computations and the Desktop, by Jason Ansel, Kapil Arya, and Gene Cooperman; arXiv:cs/0701037v3.
371. Counting Gauge Invariants: the Plethystic Program, by Bo Feng , Amihay Hanany, Yang-Hui He, to appear in JHEP, arXiv:hep-th/0701063.
372. Homalg: A meta-package for homological algebra, by Mohamed Barakat and Daniel Robertz; arXiv:math/0701146v2.
373. Generalized local cohomology and regularity of Ext modules, by Marc Chardin and Kamran Divaani-Aazar; arXiv:math/0701509v2.
374. Examples of Calabi-Yau 3-folds of ℙ⁷ with ρ=1, by Marie-Amélie Bertin; arXiv:math/0701511v1.
375. Parameter test ideals of Cohen Macaulay rings, by Mordechai Katzman; arXiv:math/0701591v3.
376. Numerical obstructions to abelian surfaces in toric Fano 4-fold, by G. K. Sankaran; arXiv:math/0701734v2.
377. On liftable and weakly liftable modules, by Hailong Dao; arXiv:math/0701884v1.
378. Heterotic Compactification, An Algorithmic Approach, by Lara B. Anderson, Yang-Hui He, and Andre Lukas; arXiv:hep-th/0702210v2; appeared in: JHEP 0707:049,2007.
379. On special p-Borel ideals, by Achilleas Sinefakopoulos; arXiv:math/0702628v1.
380. On Borel fixed ideals generated in one degree, by Achilleas Sinefakopoulos; arXiv:math/0702629v1.
381. Counterexamples regarding Symmetric Tensors and Divided Powers, by Christian Lundkvist; arXiv:math/0702733v2.
382. The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4, by Yasuhide Numata and Akihito Wachi; arXiv:math/0703003v1.
383. A New Method for Finding Vacua in String Phenomenology, by James Gray, Yang-Hui He, Anton Ilderton, and Andre Lukas; arXiv:hep-th/0703249v2; appeared in: JHEP0707:023,2007.
384. Topological D-Branes and Commutative Algebra, by Paul S. Aspinwall; arXiv:hep-th/0703279v2.
385. On the homology of two-dimensional elimination, by J. Hong, A. Simis, and W. V. Vasconcelos; arXiv:0704.0608v1.
386. Algebraic geometry of Gaussian Bayesian networks, by Seth Sullivant; arXiv:0704.0918v2.
387. Tautological classes on moduli spaces of curves with linear series and a push-forward formula when ρ=0, by Deepak Khosla; arXiv:0704.1340v1.
388. Sums of squares over totally real fields are rational sums of squares, by Christopher J. Hillar; arXiv:0704.2824v4.
389. Gaussian conditional independence relations have no finite complete characterization, by Seth Sullivant; arXiv:0704.2847v1.
390. Glicci simplicial complexes, by Uwe Nagel and Tim Roemer; arXiv:0704.3283v1.
391. The Special McKay correspondence as an equivalence of derived categories, by Alastair Craw; arXiv:0704.3627v2.
392. Gorenstein algebras and Hochschild cohomology, by L. L. Avramov and S. Iyengar; arXiv:0704.3761v3; appeared in: Mich. Math. J. 57 (2008), 17-35.
393. Computing the core of ideals in arbitrary characteristic, by Louiza Fouli; arXiv:0705.1808v2.
394. Counting Chiral Operators in Quiver Gauge Theories, by Agostino Butti, Davide Forcella, Amihay Hanany, David Vegh, and Alberto Zaffaroni; arXiv:0705.2771v1; appeared in: JHEP 0711:092,2007.
395. Picard-Fuchs Differential Equations for Families of K3 Surfaces, by James P Smith; arXiv:0705.3658v1.
396. The Label Algorithm For Irreducible Decomposition of Monomial Ideals, by Bjarke Hammersholt Roune; arXiv:0705.4483v1.
397. The role of the cotangent bundle in resolving ideals of fat points in the plane, by Alessandro Gimigliano, Brian Harbourne, and Monica Idà; arXiv:0706.2144v1.
398. Betti numbers for fat point ideals in the plane: a geometric approach, by Alessandro Gimigliano, Brian Harbourne, and Monica Idà; arXiv:0706.2588v1.
399. Generic initial ideals and fibre products, by Aldo Conca and Tim Roemer; arXiv:0707.0678v1.
400. On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices, by Christopher J. Hillar and Charles R. Johnson; arXiv:0707.0712v1.
401. Weyl closure of hypergeometric systems, by Laura Felicia Matusevich; arXiv:0707.1120v2.
402. Multiplicity Bounds for Quadratic Monomial Ideals, by Manoj Kummini; arXiv:0707.1311v2.
403. Reducible family of height three level algebras, by Mats Boij and Anthony Iarrobino; arXiv:0707.2148v2.
404. The Jacobian ideal of a hyperplane arrangement, by Max Wakefield and Masahiko Yoshinaga; arXiv:0707.2672v1.
405. Classification of free actions on complete intersections of four quadrics, by Zheng Hua; arXiv:0707.4339v1.
406. Some calculations on type II₁ unprojection, by Stavros Argyrios Papadakis; arXiv:0708.0727v1.
407. Obstructions to Genericity in Study of Parametric Problems in Control Theory, by Viktor Levandovskyy and Eva Zerz; arXiv:0708.2078v1.
408. Detecting Infinitely Many Semisimple Representations in a Fixed Finite Dimension, by Edward S. Letzter; arXiv:0708.3190v3.
409. On the symmetric subscheme of Hilbert scheme of points, by Kyungyong Lee; arXiv:0708.3390v2.
410. Quiver coefficients of Dynkin type, by Anders Skovsted Buch; arXiv:0708.3418v1.
411. Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies, by Laurent Busé and Marc Dohm; arXiv:0708.4230v1; appeared in: Dans International Conference on Symbolic and Algebraic Computation (2007) 69 - 76.
412. Mirror symmetry and tropical geometry, by Janko Boehm; arXiv:0708.4402v1.
413. Freeness of Conic-Line Arrangements in ℙ², by Hal Schenck and Stefan O. Tohaneanu; arXiv:0709.1890v1.
414. Local holomorphic Euler characteristic and instanton decay, by Elizabeth Gasparim, Thomas Köppe, and Pushan Majumdar; arXiv:0709.2577v2; appeared in: Pure Appl. Math. Q. 4 no. 2, Special Issue: In honor of Fedya Bogomolov, Part 1, 161-179 (2008).
415. A local version of Gotzmann’s Persistence, by Morgan Sherman; arXiv:0710.0186v1.
416. Sums of hermitian squares and the BMV conjecture, by Igor Klep and Markus Schweighofer; arXiv:0710.1074v4.
417. Non-vanishing theorems for rank 2 bundles on P³: a simple approach without the speciality lemma, by Paolo Valabrega and Mario Valenzano; arXiv:0710.2242v2.
418. Finite Field Experiments (with an Appendix by Stefan Wiedmann), by Hans-Christian Graf v. Bothmer; arXiv:0710.4268v1; appeared in: Higher-Dimensional Geometry over Finite Fields, Nato Science for Peace and Security Series, Vol. 16 (2008), p. 1-62.
419. Numerical obstructions to abelian surfaces in toric Fano 4-folds, by G. K. Sankaran; arXiv:0710.4284v1.
420. Castelnuovo-Mumford regularity and reduction number of smooth monomial curves, by Michael Hellus, Lê Tuân Hoa, and Jürgen Stückrad; arXiv:0710.4376v1.
421. Congruences of lines in ℙ⁵, quadratic normality, and completely exceptional Monge-Ampère equations, by Pietro De Poi and Emilia Mezzetti; arXiv:0710.5110v1.
422. Rational curves of degree 11 on a general quintic threefold, by Ethan Cotterill; arXiv:0711.2758v1.
423. Efficiently computing Groebner bases of ideals of points, by Winfried Just and Brandilyn Stigler; arXiv:0711.3475v1.
424. The Computation of the Logarithmic Cohomology for Plane Curves, by Francisco Jesus Castro-Jimenez and Nobuki Takayama; arXiv:0712.0001v2.
425. Betti Numbers of Graded Modules and Cohomology of Vector Bundles, by David Eisenbud and Frank-Olaf Schreyer; arXiv:0712.1843v3.
426. Hypergeometric D-modules and twisted Gauss-Manin systems, by Mathias Schulze and Uli Walther; arXiv:0712.2021v3.
427. Betti numbers of monomial ideals and shifted skew shapes, by Uwe Nagel and Victor Reiner; arXiv:0712.2537v1.
428. Computing sum of squares decompositions with rational coefficients, by Helfried Peyrl and Pablo A. Parrilo, Theoretical Computer Science 409 (2008) 269-281, http://dx.doi.org/10.1016/j.tcs.2008.09.025.
429. Interfacing external CA systems for Gröbner bases computation in MIZAR proof checking, by Adam Naumowicz, International Journal of Computer Mathematics, 03 June 2008, informaworld.com.
430. The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented, by Jan-Erik Roos, Experimental Mathematics 17:2, 129-143.
431. The reconstruction conjecture on edge ideals, by Kia Dalili, Sara Faridi and Will Traves, Discrete Mathematics 308 (2008) 2002-2010.
432. Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture, Mats Boij and Jonas Söderberg, J. Lond. Math. Soc. (2) 78 (2008) 85-106.
433. A mathematical formalism for agent-based modeling, by Reinhard Laubenbacher, Abdul S. Jarrah, Henning Mortveit, and S. S. Ravi; arXiv:0801.0249v1.
434. The Goto numbers of parameter ideals, by William Heinzer and Irena Swanson; arXiv:0801.0685v1.
435. Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems, by Luis A. Dupont and Rafael H. Villarreal; arXiv:0801.1478v2.
436. STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology, by James Gray, Yang-Hui He, Anton Ilderton, and André Lukas; arXiv:0801.1508v1; appeared in: Comput.Phys.Commun.180:107-119,2009.
437. The Master Space of N=1 Gauge Theories, by Davide Forcella, Amihay Hanany, Yang-Hui He, and Alberto Zaffaroni; arXiv:0801.1585v2.
438. Numerical primary decomposition, by Anton Leykin; arXiv:0801.3105v2.
439. Mastering the Master Space, by Davide Forcella, Amihay Hanany, Yang-Hui He, and Alberto Zaffaroni; arXiv:0801.3477v1; appeared in: Lett.Math.Phys.85:163-171,2008.
440. Jumping numbers of hyperplane arrangements, by Nero Budur; arXiv:0802.0878v3.
441. Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, by N. V. Trung and J. K. Verma; arXiv:0802.2329v1.
442. Hilbert schemes of 8 points, by Dustin A. Cartwright, Daniel Erman, Mauricio Velasco, and Bianca Viray; arXiv:0803.0341v2.
443. The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman, by Riccardo Biagioli, Sara Faridi, and Mercedes Rosas; arXiv:0803.0658v1.
444. Cohen-Macaulay admissible clutters, by Huy Tai Ha, Susan Morey, and Rafael H. Villarreal; arXiv:0803.1332v1.
445. On the algebraic geometry of polynomial dynamical systems, by Abdul S. Jarrah and Reinhard Laubenbacher; arXiv:0803.1825v1.
446. Alternatives for Testing Total Dual Integrality, by Edwin O’Shea and Andras Sebo; arXiv:0803.2065v1.
447. Combinatorics of binomial primary decomposition, by Alicia Dickenstein, Laura Felicia Matusevich, and Ezra Miller; arXiv:0803.3846v1.
448. Local moduli of holomorphic bundles, by Edoardo Ballico, Elizabeth Gasparim, and Thomas Köppe; arXiv:0803.4216v2; appeared in: J. Pure Appl. Algebra 213, pp 397-408 (2009).
449. SQCD: A Geometric Apercu, by James Gray, Amihay Hanany, Yang-Hui He, Vishnu Jejjala, and Noppadol Mekareeya; arXiv:0803.4257v2; appeared in: JHEP0805:099,2008.
450. Rationality of the moduli spaces of plane curves of sufficiently large degree, by Christian Böhning and Hans-Christian Graf v. Bothmer; arXiv:0804.1503v1.
451. The rationality of the moduli space of curves of genus 3 after P. Katsylo, by Christian Böhning; arXiv:0804.1509v1.
452. Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors, by Luis Narvaez-Macarro; arXiv:0804.2219v1.
453. The core of ideals in arbitrary characteristic, by Louiza Fouli, Claudia Polini, and Bernd Ulrich; arXiv:0804.2690v1.
454. Graded mapping cone theorem, multisecants and syzygies, by Jeaman Ahn and Sijong Kwak; arXiv:0804.3757v2.
455. The singularities of the principal component of the Hilbert scheme of points, by Kyungyong Lee; arXiv:0805.3672v2.
456. Algebraic methods for detecting odd holes in a graph, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; arXiv:0806.1159v1.
457. Fibers of Generic Projections, by Roya Beheshti and David Eisenbud; arXiv:0806.1928v3.
458. D-Branes on Toric Calabi-Yau Varieties, by Paul S. Aspinwall; arXiv:0806.2612v2.
459. q,t-Fuss-Catalan numbers for complex reflection groups, by Christian Stump; arXiv:0806.2936v1.
460. Syzygies of the secant variety of a curve, by Jessica Sidman and Peter Vermeire; arXiv:0806.3056v3.
461. Log minimal model program for the moduli space of stable curves: The first flip, by Brendan Hassett and Donghoon Hyeon; arXiv:0806.3444v1.
462. The Slice Algorithm For Irreducible Decomposition of Monomial Ideals, by Bjarke Hammersholt Roune; arXiv:0806.3680v1; appeared in: Journal of Symbolic Computation, Volume 44, Issue 4, April 2009, Pages 358-381.
463. The Semigroup of Betti Diagrams, by Daniel Erman; arXiv:0806.4401v2.
464. The Rank of a Hypergeometric System, by Christine Berkesch; arXiv:0807.0453v2.
465. On the symmetry of b-functions of linear free divisors, by Michel Granger and Mathias Schulze; arXiv:0807.0560v2.
466. Feynman motives of banana graphs, by Paolo Aluffi and Matilde Marcolli; arXiv:0807.1690v2.
467. The Five Points Pose Problem : A New and Accurate Solution Adapted to any Geometric Configuration, by Mahzad Kalantari, Franck Jung, JeanPierre Guedon, and Nicolas Paparoditis; arXiv:0807.2047v3.
468. Splittings of monomial ideals, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; arXiv:0807.2185v2.
469. Powers of Ideals and Fibers of Morphisms, by David Eisenbud and Joe Harris; arXiv:0807.4243v1.
470. A-graded methods for monomial ideals, by Christine Berkesch and Laura Felicia Matusevich; arXiv:0807.4306v2.
471. Matrix representations for toric parametrizations, by Nicolás Botbol, Alicia Dickenstein, and Marc Dohm; arXiv:0807.4802v1.
472. Efficient computation of resonance varieties via Grassmannians, by P. Lima-Filho and H. Schenck; arXiv:0808.2027v2.
473. Piecewise polynomials on polyhedral complexes, by T. McDonald and H. Schenck; arXiv:0808.2031v1.
474. How to Draw Tropical Planes, by Sven Herrmann, Anders Jensen, Michael Joswig, and Bernd Sturmfels; arXiv:0808.2383v4.
475. Newton Binomial Formulas in Schubert Calculus, by Jorge Cordovez, Letterio Gatto, and Taise Santiago; arXiv:0809.2528v1.
476. Hodge spectrum of hyperplane arrangements, by Nero Budur; arXiv:0809.3443v2.
477. Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups, by Toshiaki Maeno, Yasuhide Numata, and Akihito Wachi; arXiv:0809.3558v1.
478. Properties of Koszul homology modules, by Uwe Nagel and Tony J. Puthenpurakal; arXiv:0809.3853v1.
479. Secant varieties of Segre-Veronese varieties P^m x Pⁿ embedded by O(1,2), by Hirotachi Abo and Maria Chiara Brambilla; arXiv:0809.4837v2.
480. Birational aspects of the geometry of M_g, by Gavril Farkas; arXiv:0810.0702v2.
481. Postulation of general quartuple fat point schemes in P³, by Edoardo Ballico and Maria Chiara Brambilla; arXiv:0810.1372v1.
482. Linear systems in P³ with low degrees and low multiplicities, by Marcin Dumnicki; arXiv:0810.2117v1.
483. GIT Constructions of Moduli Spaces of Stable Curves and Maps, by Ian Morrison; arXiv:0810.2340v1.
484. The cl-core of an ideal, by Louiza Fouli and Janet Vassilev; arXiv:0810.3033v1.
485. A survey on Cox rings, by Antonio Laface and Mauricio Velasco; arXiv:0810.3730v1.
486. Computing inclusions of Schur modules, by Steven V Sam; arXiv:0810.4666v2; appeared in: Journal of Software for Algebra and Geometry 1 (2009), 5-10.
487. The curve of lines on a prime Fano threefold of genus 8, by Flaminio Flamini and Edoardo Sernesi; arXiv:0811.0523v2.
488. (n-1)-st Koszul homology and the structure of monomial ideals, by Anna M. Bigatti and E. Saenz-de-Cabezon; arXiv:0811.1013v1.
489. First Nonlinear Syzygies of Ideals Associated to Graphs, by Oscar Fernandez-Ramos and Philippe Gimenez; arXiv:0811.1865v1.
490. AG Codes from Polyhedral Divisors, by Nathan Ilten and Hendrik Süß; arXiv:0811.2696v2.
491. Koszul cohomology and applications to moduli, by Marian Aprodu and Gavril Farkas; arXiv:0811.3117v1.
492. Computing Irreducible Decomposition of Monomial Ideals, by Shuhong Gao and Mingfu Zhu; arXiv:0811.3425v1.
493. Smooth and irreducible multigraded Hilbert schemes, by Diane Maclagan and Gregory G. Smith; arXiv:0811.3594v1.
494. Zero-nonzero patterns for nilpotent matrices over finite fields, by Kevin N. Vander Meulen and Adam Van Tuyl; arXiv:0812.0527v1.
495. Nef divisors on M_0,n from GIT, by Valery Alexeev and David Swinarski; arXiv:0812.0778v1.
496. Power operations for Morava E-theory of height 2 at the prime 2, by Charles Rezk; arXiv:0812.1320v1.
497. Commuting birth-and-death processes, by Steven N. Evans, Bernd Sturmfels, and Caroline Uhler; arXiv:0812.2724v1.
498. A Clebsch-Gordan formula for SL₃ and applications to rationality, by Christian Böhning and Hans-Christian Graf v. Bothmer; arXiv:0812.3278v1.
499. Koszul obstructions for deformations of 0-schemes of regularity two, by Daniel Erman and Mauricio Velasco; arXiv:0812.3342v2.
500. Growth in the minimal injective resolution of a local ring, by Lars Winther Christensen, Janet Striuli, and Oana Veliche; arXiv:0812.4672v2.
501. Socle degrees, Resolutions, and Frobenius powers, by Andrew R. Kustin and Bernd Ulrich; arXiv:0812.4966v1.
502. Quilting semi-regular tesselations, by Irena Swanson, a book, to appear, http://www.reed.edu/~iswanson/semireg.pdf. Macaulay 2 was used to program the pictures and output the tex/pstricks code.
503. A Grobner basis for Kazhdan-Lusztig ideals, by A. Woo and A. Yong, preprint, http://www.math.uiuc.edu/~ayong/WYIV.ps.
504. Cohen-Macaulayness and computation of Newton graded toric rings, by M. Schulze and U. Walther, J. Pure Appl. Alg 213 (2009), 1522-1535.
505. The Computation of the Logarithmic Cohomology for Plane Curves, by Francisco-Jesús Castro-Jiménez and Nobuki Takayama, 26 August, 2009, Journal of Algebra, http://dx.doi.org/10.1016/j.jalgebra.2009.03.039.
506. Steven Glenn Jackson and Alfred G. Noel, A new approach to computing generators for U(g)^K, in press, Journal of Algebra, http://dx.doi.org/10.1016/j.jalgebra.2009.07.004.
507. The Hilbert scheme of the diagonal in a product of projective spaces, by Dustin Cartwright and Bernd Sturmfels; arXiv:0901.0212v2.
508. The Orlik-Terao algebra and 2-formality, by Hal Schenck and Stefan Tohaneanu; arXiv:0901.0253v1.
509. An algorithm for computing the integral closure, by Anurag K. Singh and Irena Swanson; arXiv:0901.0871v1.
510. Geometry of genus 9 Fano 4-fold, by Han Frederic; arXiv:0901.1054v2.
511. q,t-Fuss-Catalan numbers for finite reflection groups, by Christian Stump; arXiv:0901.1574v1.
512. A Simple Introduction to Grobner Basis Methods in String Phenomenology, by James Gray; arXiv:0901.1662v1.
513. Non-Defectivity of Grassmannians of planes, by Hirotachi Abo, Giorgio Ottaviani, and Chris Peterson; arXiv:0901.2601v1.
514. Real ideal and the duality of semidefinite programming for polynomial optimization, by Yoshiyuki Sekiguchi, Tomoyuki Takenawa, and Hayato Waki; arXiv:0901.2998v2.
515. Locally complete intersection Stanley-Reisner ideals, by Naoki Terai and Ken-ichi Yoshida; arXiv:0901.3899v1.
516. Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals, by Manoj Kummini; arXiv:0902.0437v1.
517. The binomial ideal of the intersection axiom for conditional probabilities, by Alex Fink; arXiv:0902.1495v2.
518. Cohomology of Coherent Sheaves and Series of Supernatural Bundles, by David Eisenbud and Frank-Olaf Schreyer; arXiv:0902.1594v1.
519. A family of exceptional Stewart-Gough mechanisms of genus 7, by Florian Geiss and Frank-Olaf Schreyer; arXiv:0902.2354v1.
520. Koszul homology and syzygies of Veronese subalgebras, by Winfried Bruns, Aldo Conca, and Tim Roemer; arXiv:0902.2431v1.
521. Frobenius maps on injective hulls and their applications to tight closure, by Mordechai Katzman; arXiv:0902.3110v1.
522. Linear series on ribbons, by Dawei Chen; arXiv:0902.4065v1.
523. A modular quintic Calabi-Yau threefold of level 55, by Edward Lee; arXiv:0903.1140v1.
524. A convex polynomial that is not sos-convex, by Amir Ali Ahmadi and Pablo A. Parrilo; arXiv:0903.1287v1.
525. Cohomology of Congruence Subgroups of SL₄(Z). III, by Avner Ash, Paul E. Gunnells, and Mark McConnell; arXiv:0903.3201v2.
526. Rationality of moduli spaces of plane curves of small degree, by Christian Böhning, Hans-Christian Graf von Bothmer, and Jakob Kröker; arXiv:0904.0890v1.
527. Calabi-Yau Three-folds and Moduli of Abelian Surfaces II, by Mark Gross and Sorin Popescu; arXiv:0904.3354v2.
528. Hyper-Kähler fourfolds and Grassmann geometry, by Olivier Debarre and Claire Voisin; arXiv:0904.3974v2.
529. Siphons in chemical reaction networks, by Anne Shiu and Bernd Sturmfels; arXiv:0904.4529v1.
530. Invariants, torsion indices and oriented cohomology of complete flags, by Baptiste Calmès, Victor Petrov, and Kirill Zainoulline; arXiv:0905.1341v1.
531. Computations of instanton invariants, by Thomas Köppe; arXiv:0905.2745v1.
532. Towards Mori’s program for the moduli space of stable maps, by Dawei Chen, Izzet Coskun, and Charley Crissman; arXiv:0905.2947v1.
533. A New Solution to the Relative Orientation Problem using only 3 Points and the Vertical Direction, by Mahzad Kalantari, Amir Hashemi, Franck Jung, and JeanPierre Guedon; arXiv:0905.3964v1.
534. A non-finitely generated algebra of Frobenius maps, by Mordechai Katzman; arXiv:0906.1083v1.
535. Equations of Almost Complete Intersections, by Jooyoun Hong, Aron Simis, and Wolmer Vasconcelos; arXiv:0906.1591v1.
536. Experimentation at the Frontiers of Reality in Schubert Calculus, by Christopher Hillar, Luis Garcia-Puente, Abraham Martin del Campo, James Ruffo, Zach Teitler, Stephen L. Johnson, and Frank Sottile; arXiv:0906.2497v1.
537. Multivariate Gaussians, Semidefinite Matrix Completion, and Convex Algebraic Geometry, by Bernd Sturmfels and Caroline Uhler; arXiv:0906.3529v1.
538. Decompositions of Binomial Ideals, by Thomas Kahle; arXiv:0906.4873v2.
539. Blow-ups of ℙ^n-3 at n points and spinor varieties, by Bernd Sturmfels and Mauricio Velasco; arXiv:0906.5096v1.
540. Critical points and resonance of hyperplane arrangements, by D. Cohen, G. Denham, M. Falk, and A. Varchenko; arXiv:0907.0896v1.
541. Bound on the projective dimension of three cubics, by Bahman Engheta; arXiv:0907.1703v1.
542. Computing Multidimensional Persistence, by Gunnar Carlsson, Gurjeet Singh, and Afra Zomorodian; arXiv:0907.2423v1.
543. Pieri resolutions for classical groups, by Steven V Sam and Jerzy Weyman; arXiv:0907.4505v1.
544. Quiver flag varieties and multigraded linear series, by Alastair Craw; arXiv:0907.4659v1.
545. Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations, by Teresa Cortadellas Benitez and Carlos D’Andrea; arXiv:0907.4669v1.
546. Depths of Powers of the Edge Ideal of a Tree, by Susan Morey; arXiv:0908.0553v1.
547. A Macaulay 2 interface for Normaliz, by Winfried Bruns and Gesa Kaempf; arXiv:0908.1308v1.
548. Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals, by Christopher A. Francisco, Huy Tai Ha, and Adam Van Tuyl; arXiv:0908.1505v1.
549. Laurent polynomials and Eulerian numbers, by Daniel Erman, Gregory G. Smith, and Anthony Várilly-Alvarado; arXiv:0908.2609v1.