Associate Professor and Director of Graduate Admissions

Department of Mathematics

University of Kansas

405 Snow Hall

1460 Jayhawk Boulevard

Lawrence, KS 66045-7594

**Office:** **I've moved!** 618 Snow

**Office hours for Summer 2015:** By appointment

**Phone:** (785) 864-7114

**Department fax:** (785) 864-5255

The best way to contact me: send e-mail to

Teaching | Research | Graduate Admissions | Mathematics Links | Useful Links | Fun Stuff

- Math 243 (Honors Vector Calculus), MWF 11:00-11:50 AM, Snow 564

- Spring 2016: Math 725 (Graph Theory)

- Mathematics competition opportunities for KU students
- If I have agreed to write a
**letter of recommendation**for you, please read this page. - If you are applying to graduate school, here is some advice on writing personal statements (and here is some more).
- Are you an undergrad math major looking for a research experience this summer? Visit MathPrograms.org, the AMS REU website, or Steve Butler's list of REUs.
- Grad school advice and fora: The Grad Cafe, Online PhD, AMS E-Mentoring Blog
- The inside truth: PhD Comics and "What do grad students in math do all day?"

My research interests include combinatorics, algebraic geometry, discrete geometry, and computational commutative algebra. I especially like topics in which these fields intersect: configuration varieties (such as picture spaces of graphs, and Grassmannian, flag, and Schubert varieties), simplicial complexes, Coxeter groups, hyperplane arrangements, Stanley-Reisner theory, matroids, Gröbner bases, and lately Hopf algebras. I am always happy when combinatorial techniques can be used to solve problems from other areas of pure or applied mathematics.

- Curriculum vitae (10/1/15)
- Publications (detailed list with abstracts, talk slides, etc.) (10/1/15)
- Publications (brief list)
- Recent talk slides (10/20/15)
- Source code and data for some research projects and papers

I have developed (and am perpetually revising) a set of lecture notes for my Algebraic Combinatorics course (Math 824) (last updated 8/3/15). They are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

**Ph.D. students:****Undergraduate honors students:**- Joseph Cummings
- Robert Winslow

- All my past and current students

- KU Combinatorics Group
- KU Combinatorics Seminar (Fridays, 3-4 PM, Snow 408)

- Some of my research, explained in plain English (perennially under construction)
- My talk at Red Hot Research on 3/28/14 ("Explain your research program in 6 minutes!")
- My talk at Science on Tap on 3/25/14 (sponsored by KU Natural History Museum and Free State Brewing Co.)
- My talks at KU Mini College

- Numerical PDE/Geometry/Topology study seminar Fall 2014
- Informal notes on the chip-firing game
- Scribe notes from an informal seminar on Stanley-Reisner theory at the University of Minnesota, Fall 2002
- The Maple worksheet from my talk to the KU Math Club on March 7, 2007 (based on the article "Harmonic algebraic curves and noncrossing partitions"
- Look me up on MathSciNet, the arXiv, or the Math Genealogy Project
- My Erdös number is 2, via John H. Conway and this paper.

- KU Mathematics Department
- Combinatorics at KU
- KU Combinatorics Seminar
- KU Math Seminars and Colloquia

- American Mathematical Society
- Mathematical Association of America and its Kansas Section
- Mathematical Sciences Research Institute
- American Institute of Mathematics
- Simons Foundation
- Canada/USA Mathcamp

- The On-Line Encyclopedia of Integer Sequences
- FindStat (combinatorial statistic finder)
- MacTutor History of Mathematics archive
- Archives of American Mathematics

- Sage (a free, open-source, general-purpose mathematics software system)
- Macaulay 2 (computational commutative algebra and algebraic geometry)
- Polymake and LattE (convex polyhedra, lattice points therein, and finite simplicial complexes)

- arXiv.org e-Print Archive
- A long list of online mathematics resources
- Mathematics on The Simpsons
- AMS Blog: On Teaching and Learning Mathematics

- My bridge page
- Some additional mathematics publications
- Recipes
- XL, a piece of electronic music written by me and remixed by my brother
- How not to be a thesis advisor
- What it's really like to be a graduate student
- The Illustrated Guide to a Ph.D.
- The presumably infamous L'Hopital's Rule warning label
- A photo of me acting like a mathematician

Last updated Tue 10/20/15