Kyle Petersen received his AB from Washington University in St. Louis
and his PhD from Brandeis University in 2006 under the direction of
Ira Gessel. He spent three years at the University of Michigan before
joining the faculty at DePaul in 2009. His research interests include
all aspects of Enumerative, Algebraic, and Topological Combinatorics.
Apart from his research, Petersen has been involved with the
Academy of Inquiry-Based Learning, a community which seeks to promote a
more student-centered approach to teaching.
- On gamma vectors satisfying the Kruskal-Katona inequalities
Discrete Comput. Geom. 45 (2011), no. 3, 503-521 (with E. Nevo).
- Bounding reflection length in an affine Coxeter group
Journal of Algebraic Combinatorics 34 (2011), 711-719 (with J. McCammond).
- On the shard intersection order of a Coxeter group
SIAM J. Discrete Math. 27 (2013), no. 4, 1880-1912.
- The Steinberg torus of a Weyl group as a module over the Coxeter complex
J. Algebraic Combin. 42 (2015), no. 4, 1135-1175 (with M. Aguiar).
- Eulerian numbers
Birkhäuser Advanced Texts: Basler Lehrbücher, Springer, 2015, xviii+456 pp.