Michael Dougherty

Research Interests

I work with my advisor, Jon McCammond, on geometric group theory and combinatorics. More specifically, my interests include the topology and geometry of Coxeter groups/Artin groups, noncrossing partitions, hyperplane arrangements, and configuration spaces.

Publications

  1. Undesired Parking Spaces and Contractible Pieces of the Noncrossing Partition Link (with J. McCammond), preprint.
  2. A Decomposition of Parking Functions by Undesired Spaces (with M. Bruce, M. Hlavacek, R. Kudo, and I. Nicolas), Electronic Journal of Combinatorics, Vol 23, Issue 3 (2016).
  3. Hankel Transforms of Linear Combinations of Catalan Numbers (with C. French, W. Qian, and B. Saderholm) Journal of Integer Sequences, Vol 14, Article 11.5.1. (2011)