Research
My interests are in enumerative, algebraic, and dynamical combinatorics. I wrote my dissertation about a specific function called the stack-sorting map. A lot of my recent work has focused on other combinatorial dynamical systems, many of which are defined in Coxeter-theoretic or lattice-theoretic settings. While most of the research in dynamical algebraic combinatorics focuses on invertible maps, I have spent a lot of time thinking about maps that are very much noninvertible.
Collaborators:
Ashleigh Adams, Ayomikun Adeniran, Krishnaswami Alladi, Noga Alon (4), Grant Barkley, Emily Barnard, Aaron Berger, Amanda Burcroff, Steve Butler, Stephan Cho, Jay Cummings, David Dong, Andrew Elvey Price, Michael Engen, Valentin Feray, Leigh Foster, Yibo Gao, Anthony J. Guttmann, Eric J. Hanson, Pamela E. Harris, Cyrus Hettle, Eliot Hodges, Sam Hopkins (2), Sumun Iyer, Pakawut Jiradilok, Michael Joseph, Noah Kravitz (12), Alan Lee, Mitchell Lee, Rupert Li (4), Qingzhong Liang, James Lin, Matthew Macauley, Rachana Madhukara, Alex McDonough, Jordan A. Miller, Philippe Nadeau, Hayan Nam, Evita Nestoridi, Svetlana Poznanovic, James Propp (4), Andrew Sack, Ashwin Sah, Dominic Searles, Claire Sonneborn, Jessica Striker, Bridget E. Tenner, Hugh Thomas, Adam Volk, Michelle Wei, Nathan Williams (6), Benjamin Young (2), Kai Zheng, Daniel G. Zhu.
My curriculum vitae contains a (usually) up-to-date list of my publications and preprints, all of which are available on arXiv. You can also read my research statement, which I prepared for postdoc and fellowship applications.
