Jason McCullough
Department of Mathematics
University of Illinois at Urbana-Champaign
273 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, Illinois 61801-2975
Email: jmccullo@math.uiuc.edu
Office: 346 Illini hall
Research Interests and other info
I'm a fifth-year graduate student currently working with Prof. Sankar Dutta. As such I'm studying commutative algebra, in particular the Homological Conjectures. I'm currently teaching Math 125 - Elementary Linear Algebra. I'm also interested in number theory, topology, computational problems and coding theory.
Papers
- "A Note on the Strong Direct Summand Conjecture." submitted. [pdf]
- joint with Eric Torng. "SRPT optimally uses faster machines to minimize flow time." To appear in Transactions on Algorithms. [pdf]
- joint with Benjamin Lundell. "A Generalized Floor Bound on the Minimum Distance of Geometric Goppa Codes." Journal of Pure and Applied Mathematics. Volume 207, Issue 1. September 2006. [link] [pdf](*)
(*) proven independently by Carvalho and Torres in "On Goppa Codes and Weierstrass Gaps at Several Points." Designs, Codes and Croptography. Vol. 35, Number 2. May, 2005. [ link]
Conference Presentations
- (with Ben Lundell) "A Generalized Floor Bound on the Minimum Distance of Geometric Goppa Codes." Joint Mathematics Meetings. Special Session on Algebraic-Geometry Codes. Atlanta, GA, 2005.
Teaching
Commutative Algebra Notes
Below is a link to the notes that Bart Snapp and I have compiled and typeset from Prof. Dutta's Commutative algebra course Math 502. It is our hope that they will help students, especially those in Math 502 right now. We ask that you please reserve them for personal use. Also, there are likely to still be errors so if you do read through it and find some problems, let us know! We're both happy to discuss the notes (or commutative algebra in general) and any comments you have about them. (Although Bart is now at Coastal Carolina, I'm still around.)
[IntroCommAlg.dvi] [IntroCommAlg.ps] [IntroCommAlg.pdf]
[Last updated 4/28/2008]
Math Links
Fun Links (not that math isn't fun, mind you....)