Office: 580 Malott Hall
Email: jpike AT cornell DOT edu
Mailing Address:
Department of Mathematics
Cornell University
Ithaca, NY 14853-4201
I am currently a Visiting Assistant Professor at Cornell University. I received my Ph.D. from the University of Southern California in 2013, under the supervision of Jason Fulman.
Additional information can be found in my C.V.
My research is primarily concerned with discrete problems in probability and statistics. I am particularly interested in Markov chains defined on algebraic and combinatorial structures (such as groups, graphs, group representations, and hyperplane arrangements). I also enjoy working on distributional approximation using Stein's method techniques, and I am generally interested in thinking about any problem involving randomness.
A more detailed description is contained in my research statement.
Also, feel free to check out these papers:
Convergence rates for generalized descents, Electronic Journal of Combinatorics, Volume 18 (1), P 236, 2011, 14 pages. (pdf)
A note on the Poincaré and Cheeger inequalities for simple random walk on a connected graph, 8 pages. (pdf)
Stein's method and the Laplace distribution, joint with Haining Ren, submitted, 16 pages. (pdf)
Eigenfunctions for random walks on hyperplane arrangements, Ph.D. Thesis, University of Southern California, 2013, vi+177 pages. (pdf)
For the Fall 2013 semester, I will be teaching MATH 6710 (Probability Theory I).