Dun Qiu is a current PhD student, formerly advised by Jeff Remmel. Dun advanced to candidacy in Spring 2016 and does work involving Schur expansions of symmetric functions arising in Macdonald theory (notably the Extended Rational Shuffle Conjecture and the Delta Conjecture).

Daniël Kroes is a current PhD student, jointly advised with Fan Chung Graham. He is studying a generalization of the coinvariant quotient of the Stanley-Reisner ring of the Boolean algebra whose properties are connected with the combinatorics of ordered set partitions. Daniël advanced to candidacy in November 2018.

Kyle Meyer is a current PhD student. He is studying an extension of the Adin-Brenti-Roichman descent representation theory to a new family of generalized coinvariant algebras introduced by Haglund-Rhoades-Shimozono related to the Delta Conjecture of Haglund-Remmel-Wilson. Kyle proved a generalization of Adin-Brenti-Roichman's results. Kyle advanced to candidacy in January 2018.

Dr. Michelle Bodnar is a former PhD student. She studies rational Catalan combinatorics and cyclic sieving. She proved a cyclic sieving conjecture of Armstrong-Rhoades-Williams and expanded an extension of theirs to the `a > b' rational Catalan regime. Michelle advanced to candidacy in February 2016 and successfully defended her thesis in April 2018.


In the Summer of 2016 I did research with Jonathan Chan (a UCSD undergradute) related to the combinatorics of generalized coinvariant algebras. Jonathan won a 2016-2017 Physical Sciences Dean's Undergraduate Award for Excellence. Our research produced a joint paper. Jonathan will be starting a masters programme in math at the University of Bonn in Fall 2017.

In the Summer of 2015 I co-organized the Collaborative Undergraduate Research Experience (CURE) with Todd Kemp; I was in charge of curriculum development. Michelle Bodnar served as the graduate student mentor. There were three undergraduate students participating in the program; one from UCSD and two from UMinnesota. We did research related to hyperplane arrangements and Shi/Ish duality. Their final report is here. Among these students, Christian Gaetz is a graduate student in math at MIT and Björn Wehlin is a software engineer at Silvaco Inc. in the Bay Area.

In the Summer of 2014 I co-organized the Collaborative Undergraduate Research Experience (CURE) program with Todd Kemp here at UCSD. I was in charge of curriculum development. There were five UCSD undergraduates participating in the program. We did research in rational Catalan theory and cyclic sieving. The students produced a website for the CURE program with (among other things) freely available code used in their research. Among these students, Patrick Dejesus is a graduate student in statistics at SDSU, Chenzhi Li won a 2014-2015 Physical Sciences Dean's Undergraduate Award for Excellence and completed a MA in statistics at Berkeley, and Fengpei Li is a grad student in math at Yale.

In the Summer of 2014 I did research with Jonathan Haapala (a UCSD undergraduate) related to the combinatorics of hyperplane arrangements. Jon's final report is here. Based on his work, Jon won a 2014-2015 Physical Sciences Dean's Undergraduate Award for Excellence.