Professor of Mathematics, University of Kansas

Director of Graduate Studies, Department of Mathematics

Section Chief Editor, **Frontiers for Young
Minds, Understanding Mathematics**

**I am on sabbatical from July-December 2023.**
Professor Dionyssis
Mantzavinos is acting as Director of Graduate Studies during that
time. For questions about our graduate program, please contact Prof. Mantzavinos or
Ms. Kate Pleskac.

**Mailing address:**

Department of Mathematics

University of Kansas

405 Snow Hall

1460 Jayhawk Boulevard

Lawrence, KS 66045-7594

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

**Phone:** (785) 864-7114 (email strongly preferred)

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

**Teaching** |
**Research** |
**DGS** |
**Mathematics Links** |
**Fun Stuff**

I am the Mathematics Section Editor of **Frontiers for Young
Minds**, an open-access journal with articles written by
scientists and reviewed by kids. We are looking for help at all levels:
editors, authors, science mentors, and of course kids to review and read
articles!

I am a co-organizer of the **Great Plains Combinatorics Conference**.

I am a co-organizer of the **Graduate Research Workshop in Combinatorics**.

- Fall 2023: Sabbatical
- Spring 2024: MATH 126, Calculus II

- If I have agreed to write a
**letter of recommendation**for you, please read this page. - Resources for job seekers: MathJobs (focused more on academia); MAA Career Resource Center (focused less on academia)
- Advice on writing personal statements for graduate school
- More advice on personal statements (Prof. David Glickenstein, U. of Arizona)
- Undergrad math majors looking for summer research: see MathPrograms, the AMS REU list, the NSF REU list, and Steve Butler's list of REUs.
- Grad school advice: AMS Graduate Student Blog; AMS E-Mentoring Blog (the last two no longer active but still useful)

My main focus of research is algebraic combinatorics. I also am interested in areas of mathematics including algebraic geometry, discrete geometry, commutative algebra, and algebraic topology. I especially like topics in which these fields intersect: simplicial and cell complexes, configuration varieties, Coxeter groups, hyperplane arrangements, Stanley-Reisner theory, matroids, polytopes, Gröbner bases, and combinatorial Hopf algebras and monoids. I am always happy when combinatorial techniques can be used to solve problems from other areas of pure or applied mathematics.

- Curriculum vitae (24-Aug-23)
- Publications (detailed list with abstracts, talk slides, etc.) (5-Dec-23)
- Publications (brief list)
- Look me up on MathSciNet, the arXiv, Google Scholar, or the Math Genealogy Project.
- Recent talk slides (3-Dec-22)
- 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 24-Aug-23). They are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

- Mark Denker
- Dania Morales
- All my past and current students

- Numerical PDE/Geometry/Topology study seminar Fall 2014
- Informal notes on the chip-firing game
- Bruno Benedetti and Frank Lutz's Library of Triangulations
- 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"
- My Erdös number is 2, via John H. Conway and this paper.

(i.e., "if you are not a professional mathematician but would like to know what all this is about"

- Some of my research, explained in plain English (perennially under construction; last updated 14-Sep-16)
*Amazing Patterns in the Game of Nim*(talk for middle schoolers at Emporia State, 25-Oct-16)*Network Flow Models*(talk at Red Hot Research on 28-Mar-14)*Math, Fairness and Social Choice*(talk on Science on Tap at Free State Brewing Co. on 25-Mar-14, sponsored by KU Natural History Museum)*The Notorious Four-Color Problem*(short course at KU Mini College 2013)*Planes, Hyperplanes and Beyond: Understanding Higher-Dimensional Spaces*(short course at KU Mini College 2012)

See the Math Department website for information about general information about KU Math graduate programs and information for current graduate students.

Kate Pleskac (Graduate Program Coordinator, kate.pleskac (at) ku.edu) and I are always happy to talk to students one-on-one and answer questions, provide advice, and discuss progress.

- My presentation in 2022
- Prof. Weishi Liu's presentation in 2019
- CITI Responsible Conduct of Research training (required)

- 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/CoCalc (a free, open-source, general-purpose mathematics software system)
- Macaulay2 (computational commutative algebra and algebraic geometry)
- Polymake and LattE (convex polyhedra, lattice points, finite simplicial complexes)

- 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 presumably infamous L'Hopital's Rule warning label
- A photo of me acting like a mathematician

Last updated Thu 24-Aug-23