Jeremy L. Martin

Professor and Director of Graduate Studies
Department of Mathematics
University of Kansas

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

Office hours for Spring 2025: Monday 3-4pm, Wednesday 1-2pm, Friday 3-4pm, or by appointment
Office: 618 Snow
Phone: (785) 864-7114 (email strongly preferred)
Department fax: (785) 864-5255

Teaching | Research | DGS | Mathematics Links | Fun Stuff

Marge Bayer, Pamela Harris and I are organizing a special session on Algebraic, Geometric and Topological Combinatorics at the AMS Sectional Meeting at KU on March 29-20, 2025.

I am a Handling Editor for Combinatorial Theory.

I am ending my term as the Mathematics Section Chief Editor of Frontiers for Young Minds, an open-access journal with articles written by scientists and reviewed by kids. We are currently looking for a new Section Chief Editor. Please contact me if you are interested in taking over.

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

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

Teaching

Current and upcoming courses

• Spring 2025: MATH 791, Modern Algebra (MWF 2pm, Wescoe 4041)
• Fall 2025: MATH 724, Combinatorial Mathematics
• Spring 2026: MATH 147, Honors Calculus III

Websites for past courses

Additional information for students

• 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• Grad school advice: AMS Graduate Student Blog; AMS E-Mentoring Blog (the last two no longer active but still useful)

Research

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.

My research

• Curriculum vitae (last update 1/22/25)
• Publications (detailed list with abstracts, talk slides, etc.) (last update 10/22/24)
• Publications (brief list)
• Look me up on MathSciNet, the arXiv, Google Scholar, or the Math Genealogy Project.
• Recent talk slides (last update 10/5/24)
• Source code and data for some research projects and papers

Lecture Notes on Algebraic Combinatorics

• I have developed (and am perpetually revising) a set of lecture notes for my Algebraic Combinatorics course (Math 824) (last updated 12/16/24). They are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Current Graduate Students

• Mark Denker
• May Bee Trist
• All my past and current students

Combinatorics at KU and nearby

• KU Combinatorics Group
• KU Combinatorics Seminar
• Graduate Research Workshop in Combinatorics

Miscellaneous research links

• 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.

Talks about mathematics for a general audience
(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 9/14/16)
• Amazing Patterns in the Game of Nim (talk for middle schoolers at Emporia State on 10/25/16)
• Network Flow Models (talk at Red Hot Research on 3/28/14)
• Math, Fairness and Social Choice (talk on Science on Tap at Free State Brewing Co. on 3/25/14, 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)

DGS Information

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

Michelle Morrison (Graduate Program Coordinator, michmor (at) ku.edu) and I are always happy to talk to students one-on-one and answer questions, provide advice, and discuss progress.

Math Careers in Industry

• Information and panelist slides from 2021

Responsible Scholarship Training

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

Mathematics Links

Mathematics at KU

• KU Mathematics Department
• KU Combinatorics Seminar
• Combinatorics at KU
• Open Access at KU

Mathematics organizations

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

Mathematical encyclopedias and references

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

Free mathematical software

• 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)

Other math resources on the Web

• arXiv.org e-Print Archive
• The "What is..." column in Notices of the AMS

Fun Stuff

Recreation, humor, and attempts thereat

• 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

Things I like in Lawrence, Kansas

• Americana Music Academy
• Just Food
• Kaw Valley Bridge Club