Stanford University
450 Serra Mall, Building 380-382X
Stanford, CA 94305-2125
email: mkahle at math dot stanford dot edu
AboutI came to Stanford as a postdoctoral fellow in the fall of 2007. My mentors here are Gunnar Carlsson and Persi Diaconis. I completed my Ph.D. in 2007 at the University of Washington, where my thesis advisors were Eric Babson and Chris Hoffman. I am also affiliated with Stanford's TMSCSCS group. Some expository mathematical writings can be found on my blog.Potential employers are invited to view my cv, research statement, and teaching statement. Letters of recommendation are available from Eric Babson, Gunnar Carlsson, Persi Diaconis, Chris Hoffman, Yuval Peres, and Shmuel Weinberger (research), and Ravi Vakil (teaching). ResearchI am broadly interested in interactions of probability and statistical physics with topology, geometry, and combinatorics. Some of my work has applications to the emerging field of topological data analysis. My recent papers are available on the arXiv.
Teaching and seminarsIn Spring 2010 I will teach Modern Algebra, Applied Field Theory, and Mathematics of the Rubik's Cube (webpages coming soon). In Fall 2009 I ran the Polya problem solving seminar and organized the William Lowell Putnam competition at Stanford. Together with Persi Diaconis, I organized a seminar on "graph homomorphisms". In Summer 2009, I taught MATH 53 (ODE's with linear algebra). In Spring 2009 I taught MATH 108 (Combinatorics) and MATH 161 (Set Theory).Invited talksGeometry seminar, U Toronto, March 8, 2010Combinatorics seminar, Dartmouth, March 1, 2010 Colloquium, Cleveland State, February 26, 2010 Combinatorics seminar, UC Berkeley, February 22, 2010 Colloquium, U Oregon, January 25, 2010 Joint seminar in probability and topology, U Oregon, November 20, 2009 Probability seminar, Stanford, November 9, 2009 Applied topology, U Chicago, November 5, 2009 Topological complexity of random sets, American Institute of Mathematics, August 10-14, 2009 TMSCSCS seminar, Stanford, May 18, 2009 Data analysis using computational topology and geometric statistics, Banff, March 8-13, 2009 Probability seminar, U Washington, February 9, 2009 Discrete math seminar, UC Berkeley, February 4, 2009 Probability seminar, Duke, October 30, 2008 Computational algebraic topology, 0berwolfach, June 29-July 5, 2008 Topology seminar, U Oregon, April 22, 2008 Colloquium, Cal State East Bay, February 22, 2008 Bay Area Discrete Math Day, Google, October 20, 2007 Geometry/topology seminar, UC Davis, October 18, 2006 Probability seminar, UC Berkeley, October 11, 2006 MSRI program in computational applications of algebraic topology, Fall 2006. Combinatorics seminar, U Washington, April 19, 2006 |
Papers and preprintsRandom geometric complexes(submitted, 2009) An application of disc packing to statistical mechanics(submitted, 2009) Points in a triangle forcing small triangles(Geombinatorics 18 (2009), no. 3, 114--128.) The fundamental group of random 2-complexes(w/ Eric Babson and Chris Hoffman, submitted to J. Amer. Math. Soc., 2008) Topology of random clique complexes(Discrete Math. 309 (2009), no. 6, 1658--1671.) The neighborhood complex of a random graph(J. Combin. Theory Ser. A 114 (2007), no. 2, 380--387.) Scatters, unavoidable shapes, and crystallization(Geombinatorics 15 (2006), no. 3, 138--149.) A generalization of the chromatic number of the plane.(Geombinatorics 10 (2000), no. 2, 69--74.) In preparationThe chromatic number of random graphs on spheresWarmth and mobility of random graphs (w/ Sukhada Fadnavis) Non-monotone heierarchical clustering via Morse Theory (w/ Gunnar Carlsson and Jackson Gorham) Travelrecent:Probabilistic Techniques and Applications, IPAM-UCLA, Oct. 5-9 Duke, Oct. 21-23 U Chicago, Nov. 3-6 U Oregon, Nov. 17-18 AMS-MAA Joint Meetings, San Francisco, Jan. 13-16 U Oregon, Jan. 25 upcoming: UC Berkeley, Feb. 22 Cleveland State, Feb. 25-26 Dartmouth, Mar. 1-3 U Toronto, Mar. 8-10 Case Western Reserve, Mar. 18-19 ICM, Hyderabad India, August? |