Jeremy L. Martin
Associate Professor
Department of Mathematics
University of Kansas
405 Snow Hall
1460 Jayhawk Boulevard
Lawrence, KS 66045
Office: 623 Snow Hall
Phone: (785) 864-7114
Department fax: (785) 864-5255
Office hours for Spring 2012: By appointment
Teaching |
Research |
Mathematics Links |
Useful Links |
Fun Stuff
24th International Conference on
Formal Power Series and Algebraic Combinatorics (FPSAC): Nagoya, Japan, July 30-August 3, 2012
Spring 2012
- During Spring 2012, I am on sabbatical leave and am not teaching.
Future teaching plans
Research
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.
If you are not a professional mathematician, but
you are wondering just what all that is about, here is a more detailed description
of my research publications, explained in plain English (perennially under
construction).
My research
Recent talk slides
- Simplicial and Cellular Spanning Trees I: General Theory
(University of California, Davis, March 6, 2012)
- Simplicial and Cellular Spanning Trees II: Examples
(University of California, Davis, March 7, 2012)
- Spanning Trees of Shifted Simplicial Complexes
(AMS Central Sectional Meeting, University of Nebraska, October 16, 2011)
- Spanning Trees of Simplicial Complexes
(Rocky Mountain Mathematics Consortium, June 28, 2011)
- The Incidence Hopf Algebra of Graphs
(poster for FPSAC 2011, June 14, 2011)
- Graph Theory and Discrete Geometry
(Graduate Seminar, KU Department of Chemical and Petroleum Engineering, November 9, 2010)
- Updown Numbers and the Initial Monomials of
the Slope Variety
(AMS Central Sectional Meeting, University of Notre Dame, November 6, 2010)
- Graph Theory and Geometry
(KU Faculty Seminar, October 12, 2010)
Combinatorics at KU
Miscellaneous research links
Trivia
Mathematics Links
Mathematics at KU
Mathematics organizations
Mathematical encyclopedias and references
Free mathematical software
- Macaulay
and Macaulay 2
(computational commutative algebra and algebraic geometry)
- Sage (a free, open-source,
general-purpose mathematics software system)
- Polymake
and LattE
(convex polyhedra, lattice points therein, and finite simplicial complexes)
Other math resources on the Web
Useful Links (non-mathematics)
Fun Stuff

Last updated Fri 5/4/12