Research
My research is sometimes in the field of algebraic combinatorics. Please enjoy.- Parking Spaces, with V. Reiner and B. Rhoades.
- Combinatorics of Tesler matrices in the theory of Theory of Parking Functions and Diagonal Harmonics, with A. Garsia, J. Haglund, B. Rhoades and B. Sagan.
- Rational Catalan Combinatorics, slides from a talk at JMM 2012, Boston, and AMS SE 2012, DC.
- Slides from a talk at FPSAC 2011, Iceland.
- A uniform bijection between nonnesting and noncrossing partitions, with Christian Stump and Hugh Thomas, to appear in Transactions of the American Mathematical Society.
- The Shi Arrangement and the Ish Arrangement, with Brendon Rhoades, to appear in Transactions of the American Mathematical Society.
- Hyperplane Arrangements and Diagonal Harmonics, to appear somewhere.
- Some super slides from a talk in Banff.
- Scientific community: Take heed of our experimenting skills!
- Sorting orders, subword complexes, Bruhat order and total positivity, with Patricia Hersh, to appear in Advances in Applied Math.
- Euler characteristic of the truncated order complex of generalized noncrossing partitions, with Christian Krattenthaler, to appear in Electronic Journal of Combinatorics.
- Nonhomogeneous parking functions and noncrossing partitions, with Sen-Peng Eu, Electronic Journal of Combinatorics 15 (2008), no. 1, Research Paper 146, 12 pp.
- The sorting order on a Coxeter group, Journal of Combinatorial Theory Series A, to appear.
- Generalized noncrossing partitions and combinatorics of Coxeter groups, Memoirs of the American Mathematical Society, Volume 202, Number 949.
- Braid groups, clusters and free probability, an outline from the AIM workshop, Jan 2005.