Reseach Papers

5. Counting Consecutive Pattern Matches in $\mathcal{S}_n(132)$ and $\mathcal{S}_n(123)$ [with Ran Pan and Jeff Remmel] (Submitted, 2018) [pdf]

4. Schur Function Expansions and the Rational Shuffle Conjecture [with Jeff Remmel]

    Full version submitted [pdf]

    Extended abstract appear in Proceedings of FPSAC 2017 [pdf]

3. Patterns in words of ordered set partitions [with Jeff Remmel] (Accepted, Journal of Combinatorics, 2018) [pdf]

2. On the Schur positivity of $Δ_{e_2} e_n[X]$ [with Jeff Remmel, Emily Sergel and Guoce Xin] (Accepted, Electronic Journal of Combinatorics , 2018)[pdf]

1. Quadrant marked mesh patterns in 123-avoiding permutations [with Jeff Remmel] (Discrete Mathematics & Theoretical Computer Science, Vol 19 no. 2, 2018)[pdf]


Talks and Posters

8. Combinatorial Problems in Dyck paths and Parking Functions (talk),

Center for Combinatorics Seminar, Nankai University, Tianjin, China, July 2018

7. Conjectures for the delta operator expression $\Delta'_{e_k}\Delta_{h_r}e_n$ (talk),

The CAGE Seminar, University of Pennsylvania, Philadelphia, Mar. 2018

6. Conjectures for $\Delta'_{e_k}\Delta_{h_r}e_n$ (talk),

LaCIM, Université du Québec à Montréal, Montréal, Canada, Jan. 2018

5. Special Cases in the Combinatorics of Rational Shuffle Conjecture (talk),

Center for Combinatorics Seminar, Nankai University, Tianjin, China, Aug. 2017

4. Schur Function Expansions and the Rational Shuffle Conjecture (poster),

FPSAC 2017, Queen Mary University of London, London, UK, July 2017

3. Quadrant marked mesh patterns in $123$-avoiding permutations (poster),

Permutation Patterns 2017, Reykjavik University, Reykjavik, Iceland, June 2017

2. Patterns in Ordered Set Partitions and Parking Functions (talk),

Permutation Patterns 2016, Howard University, Washington D.C., June 2016

1. Rational Shuffle Conjecture When $n = 3$ or $m = 3$ (talk),

UC San Diego, La Jolla, May 2016