My research is in algebraic combinatorics. Here are some papers.

[pdf] The polytabloid basis expands positively into the web basis (Preprint, 2018.)

[pdf] Line arrangements and r-Stirling partitions [with Andrew Timothy Wilson] (Submitted, 2018.)

[pdf] Hall-Littlewood expansions of Schur delta operators at t = 0 [with James Haglund and Mark Shimozono] (Submitted, 2018.)

[pdf] A flag variety for the Delta Conjecture [with Brendan Pawlowski] (Submitted, 2018.)

[pdf] Hall-Littlewood polynomials and a Hecke action on ordered set partitions [with Jia Huang and Travis Scrimshaw] (Accepted, Proceedings of the American Mathematical Society, 2018.)

[pdf] Tail positive words and generalized coinvariant algebras [with Andrew Timothy Wilson] (Electronic Journal of Combinatorics, 24 (3), (2017), P3.21. (29 pages))

[pdf] Generalized coinvariant algebras for wreath products [with Jonathan Chan] (Submitted, 2017.)

[pdf] Ordered set partitions and the 0-Hecke algebra [with Jia Huang] (Algebraic Combinatorics, 1 (1), (2018), 47-80.)

[pdf] Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture [with James Haglund and Mark Shimozono] (Advances in Mathematics, 329, (2018), 851-915.)

[pdf] Ordered set partition statistics and the Delta Conjecture (Journal of Combinatorial Theory, Series A, 154 (2018), 172-217.)

[pdf] Cyclic sieving and rational Catalan theory [with Michelle Bodnar] (Electronic Journal of Combinatorics, 23 (2), (2016), P2.4. (38 pages))

[pdf] Evidence for parking conjectures (Journal of Combinatorial Theory, Series A, 146 (2017), 201-238.)

[pdf] A skein action of the symmetric group on noncrossing partitions (Journal of Algebraic Combinatorics, 45 (1) (2017), 81-127.)

[pdf] The polytope of Tesler matrices [with Karola Mészáros and Alejandro Morales] (Selecta Mathematica (N.S.), 23 (1) (2017), 425-454.)

[pdf] Alexander duality and rational associahedra (SIAM Journal on Discrete Mathematics (SIDMA), 29 (1), (2015), 431-460.)

[pdf] Bijections for the Shi and Ish arrangements [with Emily Leven and Andrew Timothy Wilson] (European Journal of Combinatorics, 39C, (2014), 1-23.)

[pdf] Parking structures: Fuss analogs (Journal of Algebraic Combinatorics, 40, (2014), 417-473.)

[pdf] Parking spaces [with Drew Armstrong and Victor Reiner] (Advances in Mathematics, 269 (2015), 647-706.)

[pdf] Extending the parking space [with Andrew Berget] (Journal of Combinatorial Theory, Series A, 123 (1), (2014), 43-56.)

[pdf] Rational associahedra and noncrossing partitions [with Drew Armstrong and Nathan Williams] (Electronic Journal of Combinatorics, 20 (3), (2013), P54. (27 pages))

[pdf] Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics [with Drew Armstrong, Adriano Garsia, James Haglund, and Bruce Sagan] (Journal of Combinatorics, 3 (3), (2012), 451-494.)

[pdf] Enumeration of connected Catalan objects by type (European Journal of Combinatorics, 32 (2), (2011), 330-338.)

[pdf] The Shi arrangement and the Ish arrangement [with Drew Armstrong] (Transactions of the American Mathematical Society, 364, (2012), 1509-1528.)

[pdf] Cyclic sieving and cluster multicomplexes (Advances in Applied Mathematics, 45, (2010), 470-486.)

[pdf] The cluster and dual canonical bases of Z[x_{11}, ..., x_{33}] are equal (Discrete Mathematics and Theoretical Computer Science, 12 (5), (2010), 97-124.)

[pdf] Hall-Littlewood polynomials and fixed point enumeration (Discrete Mathematics, 310 (4), (2010), 869-876.)

[pdf] Promotion and cyclic sieving via webs [with Kyle Petersen and Pasha Pylyavskyy] (Journal of Algebraic Combinatorics, 30 (1), (2009), 19-41.)

[pdf] Cyclic sieving, promotion, and representation theory (Journal of Combinatorial Theory, Series A, 117 (1), (2010), 38-76.) [Also, my PhD thesis.]

[pdf] Bitableaux and zero sets of dual canonical basis elements [with Mark Skandera] (Annals of Combinatorics, 13 (3), (2011), 499-528.)

[pdf] Kazhdan-Lusztig immanants and products of matrix minors, II [with Mark Skandera] (Linear and Multilinear Algebra, 58 (2), (2010), 137-150.)

[pdf] Kazhdan-Lusztig immanants [with Mark Skandera] (Journal of Algebra, 304 (2), (2006), 793-811.)

[pdf] Temperley-Lieb immanants [with Mark Skandera] (Annals of Combinatorics, 9 (4), (2005), 451-495.)


Here are my upcoming travel plans. ~ means I haven't purchased tickets yet, so the dates are inexact.

~1/20/2019-1/25/2019: Banff, AB, Canada.

~3/23/2019-3/24/2019: College Station, TX, USA.


Here is a list of places I have given (or will very soon give) talks.

April, 2018. AMS Special Session on Macdonald Polynomials and Related Structures. Nashville, TN. (invited)

April, 2018. University of Pennsylvania. Philadelphia, PA. (invited)

March, 2018. UQAM. Montreal, QC, Canada. (invited)

February, 2018. University of Southern California. Los Angeles, CA.

January, 2018. Joint Mathematics Meetings. AMS Special Session on Dynamical Algebraic Combinatorics. San Diego, CA. (invited)

December, 2017. University of California, Davis. Davis, CA. (invited)

December, 2017. University of California, San Diego. San Diego, CA.

November, 2017. AMS Special Session on Combinatorial Representation Theory. Riverside, CA. (invited)

September, 2017. University of Michigan. Ann Arbor, MI.

June, 2017. Workshop on Equivariant Combinatorics. Montreal, QC, Canada. (invited)

March, 2017. Caltech. Pasadena, CA. (invited)

December, 2016. Western Washington University. Bellingham, WA. (invited)

November, 2016. University of Washington. Seattle, WA.

October, 2016. University of Minnesota. Minneapolis, MN.

August, 2016. Summer Conference on Hyperplane Arrangements. Hokkaido University. Sapporo, Japan. (invited)

June, 2016. Workshop on Positivity in Algebraic Combinatorics. KIAS. Seoul, South Korea. (invited)

April, 2016. AMS Special Session on Combinatorial Ideals and Applications. Fargo, ND. (invited)

April, 2016. AMS Special Session on Algebraic Combinatorics. Salt Lake City, UT. (invited)

March, 2016. University of Southern California. Los Angeles, CA. (invited)

January, 2016. Joint Mathematics Meetings. AMS Special Session on Algebraic and Topological Methods in Combinatorics. Seattle, WA. (invited)

December, 2015. University of California, Davis. Davis, CA. (invited)

April, 2015. AMS Western Sectional Spring Meeting. Las Vegas, NV. Invited Address. (invited, plenary)

January, 2015. University of California, Los Angeles. Los Angeles, CA. (invited)

October, 2014. AMS Special Session on Generalized Catalan Algebraic Combinatorics. Halifax, NS, Canada. (invited)

September, 2014. University of Michigan. Ann Arbor, MI. (invited)

May, 2014. San Francisco State University. San Francisco, CA.

April, 2014. University of Pennsylvania. Philadelphia, PA. (invited)

October, 2013. Center for Communications Research. La Jolla, CA. (invited)

June, 2013. CanaDAM 2013. St. John's, NL, Canada. (invited)

April, 2013. University of Illinois, Urbana-Champaign. Urbana, IL. (invited)

February, 2013. University of Washington. Seattle, WA.

January, 2013. University of British Columbia. Vancouver, BC, Canada. (invited)

November, 2012. University of California, San Diego. San Diego, CA. (invited)

May, 2012. University of California, Davis. Davis, CA. (invited)

February, 2012. Washington University in St. Louis. St. Louis, MO. (invited)

February, 2012. University of Massachusetts, Boston. Boston, MA. (invited)

February, 2012. University of South Florida. Tampa, FL. (invited)

January, 2012. Syracuse University. Syracuse, NY. (invited)

January, 2012. Loyola University - Chicago. Chicago, IL. (invited)

January, 2012. University of California, San Diego. San Diego, CA. (invited)

October, 2011. University of California, Los Angeles. Los Angeles, CA. (invited)

June, 2011. 23rd International Conference on Formal Power Series and Algebraic Combinatorics. Rekjavik, Iceland.

March, 2011. Center for Communications Research. Princeton, NJ. (invited)

January, 2011. University of Waterloo. Waterloo, ON, Canada. (invited)

January, 2011. The Ohio State University. Columbus, OH. (invited)

November, 2010. AMS Special Session on Algebraic and Topological Combinatorics. South Bend, IN. (invited)

May, 2010. Dartmouth College. Hanover, NH. (invited)

April, 2010. AMS Special Session on Combinatorial Representation Theory. St. Paul, MN. (invited)

March, 2010. University of Miami. Miami, FL. (invited)

October, 2009. AMS Special Session on Algebraic Combinatorics. University Park, PA. (invited)

September, 2009. MIT. Cambridge, MA. (invited)

September, 2008. Bay Area Discrete Math Day. Stanford, CA. (invited)

June, 2008. 20th International Conference on Formal Power Series and Algebraic Combinatorics. Vina del Mar, Chile.

June, 2008. University of Minnesota. Minneapolis, MN. (thesis defense)

May, 2008. University of California, Davis. Davis, CA. (invited)

April, 2008. 4th Graduate Student Combinatorics Conference. Davis, CA.

April, 2008. University of California, Berkeley. Berkeley, CA. (invited)

April, 2008. AMS Special Session on Combinatorial Representation Theory, Topological Combinatorics, and Interactions Between Them. Bloomington, IN. (invited)

February, 2008. San Francisco State University. San Francisco, CA. (invited)

November, 2007. Northeastern University. Boston, MA.

November, 2007. MIT. Cambridge, MA.

October, 2007. University of Michigan. Ann Arbor, MI. (invited)

September, 2007. University of Minnesota. Minneapolis, MN.

April, 2007. 3rd Graduate Student Combinatorics Conference. Seattle, WA.

December, 2006. University of California, Berkeley. Berkeley, CA.

November, 2006. University of Washington. Seattle, WA.

September, 2006. University of Minnesota. Minneapolis, MN.

September, 2006. University of Kansas. Lawrence, KS. (invited)

April, 2006. 2nd Graduate Student Combinatorics Conference. Madison, WI.

November, 2005. University of Minnesota. Minneapolis, MN.

June, 2005. 17th International Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Italy.

April, 2005. 1st Graduate Student Combinatorics Conference. Minneapolis, MN.

March, 2005. University of Minnesota. Minneapolis, MN. (invited)

February, 2005. York University. Toronto, ON, Canada. (invited)

June, 2004. 16th International Conference on Formal Power Series and Algebraic Combinatorics. Vancouver, BC, Canada. (invited)