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
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 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
Last updated Fri 5/4/12
