Department of Mathematics

University of Illinois at Urbana-Champaign

Faculty Publications

(a compilation of publications from 2001-2006)

Ahlgren, Scott (with K. Ono), The arithmetic of singular moduli and class equations. Compos. Math. 141 (2005) 293--312.

Ahlgren, Scott (with M. Boylan), Coefficients of half-integral weight modular forms modulo l ^j. Mathematische Annalen 331 (2005) 219--239.

Ahlgren, Scott, The arithmetic of Weierstrass points on modular curves X₀(p). In Galois theory and modular forms, 3--12, Dev. Math., 11 Kluwer Acad. Publ., Boston, MA, 2004.

Ahlgren, Scott, The theta-operator and the divisors of modular forms on genus zero subgroups. Math. Res. Lett. 10:5-6 (2003) 787--798.

Ahlgren, Scott (with M. Boylan), Arithmetic properties of the partition function. Inventiones Mathematicae 153:3 (2003) 487--502.

Ahlgren, Scott (with K. Ono), Weierstrass points on X_0(p) and supersingular j-invariants. Math. Ann. 325:2 (2003) 355--368.

Ahlgren, Scott, A congruence for the coefficients in a series for π. Acta Arithmetica 355 (2003) 157--160.

Ahlgren, Scott (with Papanikolas, Matthew ), Higher Weierstrass points on X_0(p). Trans. Amer. Math. Soc. 355:4 (2003) 1521--1535.

Ahlgren, Scott, The points of a certain fivefold over finite fields and the twelfth power of the eta-function. Finite Fields and their Applications 8 (2002) 18--33.

Ahlgren, Scott (with K. Ono and D. Penniston), Zeta functions of an infinite family of K3 surfaces. American Journal of Mathematics 124 (2002) 353--368.

Ahlgren, Scott (with B. Berndt, A. J. Yee, and A. Zaharescu), Integrals of Eisenstein series and derivatives of L-functions. International Mathematical Research Notices 32 (2002) 1723--1738.

Ahlgren, Scott, Gaussian hypergeometric series and combinatorial congruences. Symbolic Computation, Number Theory, Special Functions, Physics, and Combinatorics, Dev. Math., 4, Kluwer Acad. Publ., Dordrecht (2001) 1--12.

Ahlgren, Scott (with K. Ono), Congruence properties for the partition function. Proceedings of the National Academy of Sciences, U.S.A, Vol. 98:23 (2001) 12882--12884.

Ahlgren, Scott (with K. Ono), Congruences and conjectures for the partition function. Contemporary Mathematics 291 (2001) 1--10.

Ahlgren, Scott (with K. Ono), Addition and counting: the arithmetic of partitions. Notices Amer. Math. Soc. 48 (2001) 978--984.

Ahlgren, Scott, Multiplicative relations in powers of Euler's product. J. Number Theory 89 (2001) 222--233.

Alexander, Stephanie B. (with R. L. Bishop), Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above. Geom. Dedicata. 117 (2006) 65--84.

Alexander, Stephanie B. (with R. L. Bishop), A cone splitting theorem for Alexandrov spaces. Pacific J. Math. 218 (2005) 1--16.

Alexander, Stephanie B. (with R. L. Bishop), Curvature bounds for warped products of metric spaces. Geom. Funct. Anal. 14 (2004) 1143--1181.

Alexander, Stephanie B. (with M. Ghomi), The convex hull property for noncompact hypersurfaces of positive curvature. Amer. J. Math. 126 (2004) 891--897.

Alexander, Stephanie B. (with R. L. Bishop), Spines and topology of thin Riemannian manifolds with boundary. Trans. Amer. Math. Soc. 355 (2003) 4933--4954.

Alexander, Stephanie B. (with M. Ghomi), The convex hull property and topology of hypersurfaces with nonnegative curvature. Advances in Math. 180 (2003) 324--354.

Alexander, Stephanie B. (with R. L. Bishop), FK-convex functions on metric spaces. Manuscripta Math. 110 (2003) 115--133.

Ando, Matthew (with C. French), Discrete torsion for the supersingular orbifold sigma genus. In Proceedings of the Newton Institute conference on Elliptic cohomology, to appear.

Ando, Matthew (with M. Hopkins and N. Strickland), The σ-orientation is an H_∞ map. Amer. J. Math. 126 (2004) 247--334.

Ando, Matthew, The sigma orientation for analytic equivariant elliptic cohomology. Geom. Topol. 7 (2003) 91-153.

Ando, Matthew (with M. Basterra), The Witten genus and equivariant elliptic cohomology. Mathematische Zeitschrift 240 (2002) 787--822.

Ando, Matthew (with M. Hopkins and N. Strickland), Elliptic spectra, the Witten genus, and the Theorem of the Cube. Invent. Math. 146 (2001) 595--687.

Ando, Matthew (with J. Morava), A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space, Contemporary Mathematics 279 (2001) 11--36.

Ando, Matthew (with N. Strickland), Weil pairings and Morava K-theory, Topology 40:1 (2001) 127--156.

Balogh, József (with J. Leanos, S. Pan, R. B. Richter, and G. Salazar), The convex hull of every optimal pseudo-linear drawing of K_n is a triangle, to appear.

Balogh, József (with R. Pemantle), The Klee-Minty random edge chain moves with linear speed. Random Structures and Algorithms, to appear.

Balogh, József (with Y. Peres, and G. Pete), Bootstrap percolation on infinite trees. Combin. Probab. Comput., to appear.

Balogh, József (with M. Axenovits), Graphs having small number of sizes on induced k-subgraphs. SIAM J. Discrete Math. 21 (2007), no. 1, 264--272.

Balogh, József (with B.G. Pittel), Bootstrap percolation on the regular graph. Random Structures Algorithms 30 (2007), no. 1-2, 257--286.

Balogh, József (with B. Pittel, and G. Salazar), Large harmonic sets of noncrossing edges for n randomly labeled vertices in convex position. Random Structures and Algorithms 30 (2007), no. 1-2, 105--130.

Balogh, József (with P. Keevash, and B. Sudakov), On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs. J. Combin. Theory Ser. B. 96 (2006), no. 6, 919--932.

Balogh, József (with B. Bollobás and R. Morris), Hereditary properties of partitions, ordered graphs and ordered hypergraphs. European J. Combin. 27 (2006), no. 8, 1263--1281.

Balogh, József, A remark on the number of edge colorings of graphs. European J. Comp. 27 (2006) 565--573.

Balogh, József (with B. Bollobás), Bootstrap percolation on the hypercube. Probability and Related Fields 134 (2006) 624--648.

Balogh, József (with D. Mubayi, and A. Pluhár), On the Edge-Bandwidth of Grid type of Graphs. Theoretical Computer Science 359 (2006) 43--57.

Balogh, József (with G. Salazar), On k--sets, convex quadrilaterals, and the rectilinear crossing number of K_n. Discrete Comput. Geom. 35 (2006) 671--690.

Balogh, József (with B. Bollobás), Unavoidable traces of set systems. Combinatorica 25 (2005) 633--643.

Balogh, József (with B. Bollobás and D.A. Weinreich), A jump to the Bell number for hereditary graph properties. J. Combin. Theory Ser. B 95 (2005) 29--48.

Balogh, József (with P. Keevash and B. Sudakov), Disjoint representability of sets and their complements. J. Combin. Theory Ser. B 95 (2005) 12--28.

Balogh, József (with B. Bollobás), Hereditary properties of words. Theor. Inform. Appl. 39 (2005) 49--65.

Balogh, József (with M. Kochol, A. Pluhár, and X. Yu), Covering planar graphs with forests. J. Combin. Theory Ser. B 94 (2005) 147--158.

Balogh, József (with S. Kumar, T. H. Lai), On k-Coverage in a Mostly Sleeping Sensor Network. In Proceedings of the Tenth Annual International Conference on Mobile Computing and Networking (ACM MobiCom) 2004, Philadelphia, PA, 2004, pp. 144--158.

Balogh, József (with J.A. Csirik), Index assignment for two-channel quantization. IEEE Trans. Inform. Theory 50 (2004) 2737--2751.

Balogh, József (with N. Alon, P. Keevash, B. Sudakov), The number of edge colorings with no monochromatic cliques. J. London Math. Soc. (2) 70 (2004) 273--288.

Balogh, József (with O. Regev, C. Smyth, W. Steiger, M. Szegedy), Long monotone paths in line arrangements. Discrete Comput. Geom. 32 (2004) 167--176.

Balogh, József (with P. Ochem and A. Pluhár), On the interval number of special graphs. J. Graph Theory 46 (2004) 241--253.

Balogh, József (with B. Bollobás and M. Simonovits), The number of graphs without forbidden subgraphs. J. Combin. Theory Ser. B 91 (2004) 1--24.

Balogh, József (with J.A. Csirik, Y. Ishai, E. Kushilevitz), Private computation using a PEZ dispenser. Theoret. Comput. Sci. 306 (2003) 69--84.

Balogh, József, The Turán density of triple systems is not principal. J. Combin. Theory Ser. A 100 (2002) 176--180.

Balogh, József (with A. Pluhár), The interval number of dense graphs. Discrete Math. 256 (2002) 423--429.

Balogh, József (with N. Alon, B. Bollobás, T. Szabó), Game domination number. Discrete Math. 256 (2002) 23--33.

Balogh, Jòzsef (with B. Bollobás), Weinreich, David Measures on monotone properties of graphs. Discrete Appl. Math. 116 (2002) 17--36.

Balogh, József (with B. Bollobás and D. Weinreich), The penultimate rate of growth for graph properties. European J. Combin. 22 (2001) 277--289.

Bauer, Robert O. (with R.M. Friedrich), Diffusing polygons and SLEκρ. Illinois J. Math. 50 (2006), no. 1-4, 93--105.

Bauer, Robert O. (with R.M. Friedrich), On radial stochastic Loewner evolution in multiply connected domains. J. Funct. Anal. 237 (2006), no. 2, 565--588.

Bauer, Robert O. (with R.M. Friedrich), The correlator toolbox, metrics and moduli. Nuclear Phys. B 733 (2006), no. 1-2, 91--103.

Bauer, Robert O. Analysis of the horizontal Laplacian for the Hopf fibration. Forum Math. 17 (2005), no. 6, 903--920.

Bauer, Robert O., Chordal Loewner families and univalent Caughy transforms. J. Math. Anal. Appl. 302 (2005) 484--501.

Bauer, Robert O. (with R.M. Friedrich), Stochastic Loewner evolution in multiply connected domains, C.R. Math. Acad. Sci. Paris 339 (2004) 579--584.

Bauer, Robert O., Löwner's equation from a noncommutative probability perspective. J. Theoret. Probab. 17:2 (2004) 435--456.

Bauer, Robert O., Discrete Löwner evolution. Ann. Fac. Sci. Toulouse Math. (6) 12:4 (2003) 433--451.

Bauer, Robert O., Random holonomy for Yang-Mills fields: long-time asymptotics. Potential Anal. 18:1 (2003) 43--57.

Bauer, Robert O. (with E. Carlen), Random holonomy for Hopf fibrations. J. Funct. Anal. 182 (2001) 371--389.

Berndt, Bruce C., Ramanujan's congruences for the partition function modulo 5, 7, and 11. Internat. J. Number Thy., to appear.

Berndt, Bruce C. (with W. B. Hart), An identity for the Dedekind eta-function involving two independent complex variables. Bull. London Math. Soc., to appear.

Berndt, Bruce C., Partition- Theoretic Interpretations of Certain Modular Equations of Schroter, Russell and Ramanujan. Annals of Combinatorics, to appear.

Berndt, Bruce C. (with N. D. Baruah), Partition identities and Ramanujan's modular equations. J. Comb. Thy. (A). to appear.

Berndt, Bruce C. (with G. Choi, Y.-S. Choi, H. Hahn, B.P. Yeap, A.J. Yee, H. Yesilyurt, and J. Yi), Ramanujan’s forty identities for the Rogers-Ramanujan functions. Memoirs, Amer. Math. Soc., to appear.

Berndt, Bruce C. (with S.H. Chan, B.P. Yeap, and A.J. Yee), A reciprocity theorem for certain q-series found in Ramanujan’s lost notebook. The Ramanujan J., 13 (2007) no. 1-3, 27--37.

Berndt, Bruce C. (with Wenchang Chu), Two entries on bilateral hypergeometric series in Ramanujan's lost notebook. Proc. Amer. Math. Soc. 135 (2007) 129--134.

Berndt, Bruce C. (with A. Zaharescu), Weighted divisor sums and Bessel function series. Math. Ann. 335 (2006) 249--283.

Berndt, Bruce C., Number Theory in the Spirit of Ramanujan, American Mathematical Society, Providence, RI (2006) xx+187 pp.

Berndt, Bruce C. (with M. Beck, O-Y. Chan, and A. Zaharescu), Determinations of analogues of Gauss sums and other trigonometric sums. Internat. J. Number Thy. 1 (2005) 333--356.

Berndt, Bruce C. (with H. Yesilyurt),New identities for the Rogers-Ramanujan functions. Acta Arith. 120 (2005), 395--413.

Berndt, Bruce C. (with P.R. Bialek), On the power series coefficients of certain quotients of Eisenstein series. Trans Amer. Math. Soc. 357 (2005) 4379--4412.

Berndt, Bruce C. (with G.E. Andrews), Ramanujan’s Lost Notebook, Part I. Springer, New York (2005) xiv+437 pp.

Berndt, Bruce C. (with G. E. Andrews, J. Sohn, A. J. Yee, and A. Zaharescu), Continued fractions with three limit points. Adv. in Math. 192 (2005) 231--258.

Berndt, Bruce C. (with H. H. Chan, S. H. Chan, and W.-C. Liaw), Ramanujan and cranks. In Theory and Applications of Special Functions. A Volume Dedicated to Mizan Rahman, M. E. H. Ismail and E. Koelink, Eds., Kluwer, Dordrecht, 2005, pp. 77-98.

Berndt, Bruce C. (with H. H. Chan, S. H. Chan, and W.-C. Liaw), Cranks and dissections in Ramanujan's lost notebook. J. Combin. Thy. (A) 109 (2005) 91-120.

Berndt, Bruce C. (with G. Choi), A continued fraction from Ramanujan's lost notebook. Aequa. Math. 69 (2005) 257-262.

Berndt, Bruce C. (with A. J. Yee), q-Gauss summation via Ramanujan and combinatorics. South East Asian J. Math. and Math. Sci. 3 (2004) 15-22.

Berndt, Bruce C. (with S. H. Chan, Z.-G. Liu, and H. Yesilyurt), A new identity for (q; q)10/inf with an application to Ramanujan's partition congruence modulo 11. Quart. J. Math. (Oxford) 55 (2004) 13--30.

Berndt, Bruce C. (with C. A. Reddi), Two exams taken by Ramanujan in India. Amer. Math. Monthly 111 (2004) 330--339.

Berndt, Bruce C., An unpublished manuscript of Ramanujan on infinite series identities. J. Ramanujan Math. Soc. 19 (2004) 57--74.

Berndt, Bruce C. (with A. Zaharescu), Finite trigonometric sums and class numbers. Math. Ann. 330 (2004) 551--575.

Berndt, Bruce C. (with A.J. Yee and A. Zaharescu), New theorems on the parity of partition functions. J. Reine Angew. Math. 566 (2004) 91--109.

Berndt, Bruce C., Some integrals in Ramanujan’s lost notebook, Proc. Amer. Math. Soc. 132 (2004) 2983--2988.

Berndt, Bruce C. (with A. J. Yee), Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions. Annals of Combinatorics 7 (2003) 409--423.

Berndt, Bruce C. (with A.J. Yee and A. Zaharescu), On the parity of partition functions. Internat. J. Math. 14 (2003) 437--459.

Berndt, Bruce C. (with A.J. Yee and J. Yi), Theorems on partitions from a page in Ramanujan’s lost notebook. J. Comp. Appl. Math. 160 (2003) 53--68.

Berndt, Bruce C. (with W. Kohnen and K. Ono), The life and work of R.A. Rankin (1915-2001). The Ramanujan J. 7 (2003) 9--38.

Berndt, Bruce C. (with A. J. Yee), On the generalized Rogers–Ramanujan continued fraction. The Ramanujan Journal 7 (2003) 321--331.

Berndt, Bruce C. (with H. H. Chan and A. Zaharescu), A quasi-theta product in Ramanujan’s lost notebook. Math. Proc. Cambridge Philos. Soc. 134 (2003) 11--18.

Berndt, Bruce C. (with G. E. Andrews, J. Sohn, A. J. Yee, and A. Zaharescu), On Ramanujan’s continued fraction for (q²;q³)_∞/ (q;q³)_∞. Trans. Amer. Math. Soc. 355 (2003) 2397--2411.

Berndt, Bruce C. (with A. J. Yee), A page on Eisenstein series in Ramanujan’s lost notebook. Glasgow Math. J. 45 (2003) 123--129.

Berndt, Bruce C. (with J. Sohn), Asymptotic formulas for two continued fractions in Ramanujan’s lost notebook. J. London Math. Soc. (2) 65 (2002), 271--284.

Berndt, Bruce C., The influence of Carr’s Synopsis on Ramanujan, in Number Theory and Discrete Mathematics (A. K. Agarwal, B. C. Berndt, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and W. Waldschmidt, eds.), Hindustan Book Agency, New Delhi, 2002, pp. 31--35.

Berndt, Bruce C., The problems solved by Ramanujan in the Journal of the Indian Mathematical Society, in Number Theory and Discrete Mathematics (A. K. Agarwal, B. C. Berndt, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and W. Waldschmidt, eds.), Hindustan Book Agency, New Delhi, 2002, pp. 189--200.

Berndt, Bruce C. (with B. P. Yeap), Explicit evaluations and reciprocity theorems for finite trigonometric sums, Advances in Appl. Math. 29 (2002) 358--385.

Berndt, Bruce C. (with B. K. Spearman and K. S. Williams), Commentary on an unpublished lecture by G. N. Watson on solving the quintic. Math. Intell. 24:4 (2002) 15--33.

Berndt, Bruce C. (with A. Zaharescu), An integral of Dedekind eta-functions in Ramanujan’s lost notebook. J. Reine Angew. Math. 551 (2002) 33--39.

Berndt, Bruce C. (with A. Zaharescu), A multi-variable theta product. Indag. Math. 13 (2002) 11--22

Berndt, Bruce C. (with S. Ahlgren, A. J. Yee, and A. Zaharescu), Integrals of Eisenstein series and derivatives of L-functions. International Mathematics Research Notices, No. 32 (2002) 1723--1738.

Berndt, Bruce C. (with A. J. Yee), Ramanujan’s contributions to Eisenstein series, especially in his lost notebook. In Number Theoretic Methods - Future Trends, C. Jia and S. Kanemitsu, eds., Kluwer, Dordrecht (2002) pp. 31--53.

Berndt, Bruce C. (with A. J. Yee), Congruences for the coefficients of quotients of Eisenstein series. Acta Arith. 104 (2002) 297--308.

Berndt, Bruce C., Editor (with A. K. Agarwal, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and M. Waldschmidt), Number Theory and Discrete Mathematics, Hindustan Book Agency, Delhi, 2002.

Berndt, Bruce C. (with P.R. Bialek and A.J. Yee), Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. International Mathematics Research Notices 2002, no. 21, 1077--1109.

Berndt, Bruce C. (with H.H. Chan, S.-Y. Kang and L.-C. Zhang), A certain quotient of eta-functions found in Ramanujan’s lost notebook. Pacific J. Math. 202 (2002) 267--304.

Berndt, Bruce C. (with R. A. Rankin), Ramanujan: Essays and Surveys American Mathematical Society, Providence, RI, 2001; jointly published by the London Mathematical Society, London, 2001; published in India by Hindustan Book Agency, New Delhi (2003).

Berndt, Bruce C., Editor (with K. Ono), q-Series, with Applications to Combinatorics, Number Theory, and Physics (with K. Ono), Contemp. Math., American Mathematical Society, Providence, RI, 2001.

Berndt, Bruce C. (with K. Venkatachaliengar), On the transformation formula for the Dedekind eta-function. In Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, F.G. Garvan and M.E.H. Ismail, Eds., Kluwer, Dordrecht (2001) 73--77.

Berndt, Bruce C., Flowers which we cannot yet see growing in Ramanujan’s garden of hypergeometric series, elliptic functions, and q’s. In Special Functions 2000: Current Perspective and Future Directions, J. Bustoz, M.E.H. Ismail and S.K. Suslov, Eds., Kluwer, Dordrecht (2001) 61--85.

Berndt, Bruce C. (with K. Ono), Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary. Sém. Lothar. Combin. 42 (1999), 63 pp., in The Andrews Festschrift, D. Foata and G.-N. Han, Eds., Springer-Verlag, Berlin (2001) 39--110.

Berndt, Bruce C. (with H.H. Chan), Eisenstein series and approximations to π. Illinois J. Math. 45 (2001) 75--90.

Berndt, Bruce C. (with H.H. Chan and W-C. Liaw), On Ramanujan's quartic theory of elliptic functions. J. Number Theory, 88 (2001) 129--156.

Boca, Florin P. (with A. Zaharescu), On the correlations of directions in the Euclidean plane. Trans. Amer. Math. Soc. 358 (2006), 1797-1825.

Boca, Florin P. (with A. Zaharescu), Farey fractions and two-dimensional tori. In Noncommutative Geometry and Number Theory (C. Consani, M. Marcolli, Eds.), Aspects of Mathematics E37, Vieweg Verlag, Wiesbaden, 2006, pp. 57-77.

Boca, Florin P., Editor (with O. Bratteli, R. Longo, and H. Siedentop), Advances in Operator Algebras and Mathematical Physics (Sinaia, 2003), The Theta Foundation, Bucharest, 2005 (distributed by AMS).

Boca, Florin P. (with A. Zaharescu), The correlations of Farey fractions. J. London Math. Soc.2 72 (2005) 25--39.

Boca, Florin P. (with A. Zaharescu), Norm estimates of almost Mathieu operators, J. Funct. Anal. 220 (2005) 76--96.

Boca, Florin P. (with R.N. Gologan and A. Zaharescu), The average length of a trajectory in a certain billiard in a flat two-torus, New York Journal of Mathematics 9 (2003) 303--330.

Boca, Florin P. (with R.N. Gologan and A. Zaharescu), The statistics of the trajectory of a certain billiard in a flat two-torus, Commun. Math. Phys. 240 (2003) 53--73.

Boca Florin P. (with C. Cobeli and A. Zaharescu), On the distribution of the Farey sequence with odd denominators. Michigan Math. J. 51 (2003) 557--573.

Boca, Florin (with M.Vajaitu and A.Zaharescu), Integer points close to algebraic curves. J. London Math. Soc.(2) 65 (2002) 10--26.

Boca, Florin P. (with A. Zaharescu and R.N. Gologan), On the index of Farey sequences. Q. J. Math. 53:4 (2002) 377--391.

Boca, Florin P. (with A. Zaharescu), On a class of subgroups of R associated with subsets of prime numbers, Houston J. Math. 27 (2001) 823--844.

Boca, Florin P. (with A. Zaharescu), On the pair correlation for fractional parts of vector sequences, Archiv der Mathematik (Basel) 77 (2001) 498--507.

Boca, Florin P., Rotation C*-algebras and almost Mathieu operators, Theta Series in Advanced Mathematics, 1. The Theta Foundation, Bucharest; distributed by Amer. Math. Soc. (2001) xviii+172 pp.

Boca, Florin P. (with C. Cobeli and A. Zaharescu), A conjecture of R. R. Hall on Farey points. J. Reine Angew. Math. 535 (2001) 207--236.

Boca, Florin P. (with V. Augustin, C. Cobeli, and A. Zaharescu), The h-spacing distribution between Farey points. Math. Proc. Cambridge Philos. Soc. 131 (2001) 23--38.

Bradlow, Steven (with O. Garcia-Prada and P.B. Gothen), Representations of surface groups in the general linear group. Proceedings of the XII Fall Workshop on Geometry and Physics, 83--94, Pub. R. Soc. Mat. Esp., 7, Madrid (2004).

Bradlow, Steven (with O. Garcia-Prada and P.B. Gothen), Moduli spaces of holomorphic triples over compact Riemann surfaces. Math. Annalen 328 (2004) 299--351.

Bradlow, Steven (with O. Garcia-Prada and P.B. Gothen), Surface group representations and U(p,q)-Higgs bundles. J. DifferentialGeom. 64 (2003) 111-170.

Bradlow, Steven (with O. Garcia-Prada and I. Mundet i Rierra), Relative Hitchin-Kobayashi correspondences for principal pairs. Quarterly Journal of Mathematics 54 (2003) 171--208.

Bradlow, Steven (with V. Munoz, P. Newstead, and O. Garcia-Prada), Coherent Systems and Brill Noether Theory. Int. J, Math. 14 (2003) 683--733.

Bradlow, Steven (with T.L. Gomez), Extensions of Higgs bundles. Illinois Journal of Mathematics 46 (2002) 587--625.

Bradlow, Steven (with O. Garcia-Prada), An application of coherent systems to a Brill-Noether problem. J. Reine Angew. Math. 551 (2002) 123--143.

Bradlow, Steven (with J.F. Glazebrook and F.W. Kamber), Dimensional Reduction of the Perturbed Hermitian-Einstein equations. In Proceedings Volume of The Conference of Geometry and Its Applications in Technology and The Workshop on Global Analysis, Differential Geometry and Lie Algebras, 1997, Gr. Tsagas, Ed., Balkan Society of Geometers, Geometry Balkan Press, Bucharest (2001) 43--62.

Bradlow, Steven (with O. García-Prada and P.B. Gothen), Representations of the fundamental group of a surface in PU(p,q) and holomorphic triples. C. R. Acad. Sci. Paris Sér. I Math. 333:4 (2001) 347--352.

Bronski, Jared C. (with Z. Rapti), Modulational instability for nonlinear Schrödinger equations with a periodic potential. Dyn. Partial Differ. Equ. 2:4 (2005) 335--355.

Bronski, Jared C. (with F.Kh. Abdullaev and R.M. Galimzyanov), Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length. Complexity and nonlinearity in physical systems (Tucson, AZ, 2001). Phys. D 184:1-4 (2003) 319--322.

Bronski, Jared C., Asymptotics of Karhunen-Loeve eigenvalues and tight constants for probability distributions of passive scalar transport. Comm. Math. Phys. 238:3 (2003) 563--582.

Bronski, Jared C. Small ball constants and tight eigenvalue asymptotics for fractional Brownian motions. J. Theoret. Probab. 16 (2003) 87--100.

Bronski, Jared C. (with M. Segev and M.I. Weinstein), Mathematical frontiers in optical solitons. Proc. Natl. Acad. Sci. USA 98 (2001) 12872--12873.

Bronski, Jared C. (with L.D. Carr, R. Carretero-Gonzalez, B. Deconinck, J.N. Kutz and K. Promislow), Stability of Bose-Einstein condensates in a periodic potential I. Phys. Rev. E. 63, 036612 (2001).

Bronski, Jared C. (with L. Carr, B. Deconinck and J.N. Kutz), Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential, Physical Review Letters 86 (2001) 1402--1405.

Bronski, Jared C., Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem. Physica D. 152/153 (2001) 163--170.

D'Angelo, John P., Review of "Geometric Function Theory: Explorations in Complex Analysis." American Mathematical Monthly, to appear, 2007.

D'Angelo, John P., Review of "Differential Geometry and Analysis on CR Manifolds", Bulletin AMS, to appear, 2007.

D'Angelo, John P., Asymptotics for Invariant Polynomials, Complex Var. Elliptic Equ. 52 (2007), no 4, 26--272.

D'Angelo, John P., A Monotonicity Result for Volumes of Holomorphic Images, Michigan Math J. 54 (2006) 623--646.

D'Angelo, John P., An Analogue of Hilbert's Seventeenth Problem in One Complex Dimension. Contemp. Math., 305 (2006) 47--58.

D'Angelo, John P., Complex variables analogues of Hilbert's Seventeenth Problem, Internat. J. Math. 16 (2005) 609--627.

D'Angelo, John P., Number-theoretic Properties of Certain CR Mappings. Journal of Geometric Analysis 14:2 (2004) 215--229.

D'Angelo, John P. (with Dror Varolin), Positivity conditions for Hermitian symmetric functions, Asian Journal of Mathematics 7:4 (2003) 215--231.

D'Angelo, John P., Homogenization, Reflection, and the X-variety. Indiana Univ. Math J., 52 (2003) 1113--1134.

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Füredi, Zoltán (with M. Simonovits), Triple systems not containing a Fano configuration. Combin. Probab. Comput. 14 (2005) 467--484.

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Füredi, Zoltán (with R.P. Kurshan), Minimal length test vectors for multiple-fault detection. Theoret. Comput. Sci. 315:1 (2004) 191--208.

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Füredi, Zoltán, Covering a triangle with homothetic copies. Discrete geometry, 435--445, Monogr. Textbooks Pure Appl. Math., 253, Dekker, New York, 2003.

Füredi, Zoltán (with M. Axenovich), Exact bounds on the sizes of covering codes. Des. Codes Cryptogr. 30:1 (2003) 21--38.

Füredi, Zoltán (with O. Pikhurko and M. Simonovits), The Turán density of the hypergraph {abc,ade,bde,cde}. Electron. J. Combin. 10 (2003), Research Paper 18, 7 pp. (electronic).

Füredi, Zoltán (with A. Gyárfás and M. Ruszinkó), On the maximum size of (p,Q)-free families. Kleitman and combinatorics: a celebration (Cambridge, MA, 1999). Discrete Math. 257 (2002) 385--403.

Füredi, Zoltán (with A. Kündgen), Turán problems for integer-weighted graphs. J. Graph Theory 40 (2002) 195--225.

Füredi, Zoltán (with R. Ramamurthi), On splittable colorings of graphs and hypergraphs. J. Graph Theory 40 (2002) 226--237.

Füredi, Zoltán (with Y.-C. Chen), Hamiltonian Kneser graphs. Combinatorica 22 (2002) 147--149.