My research interests are in enumerative and algebraic combinatorics.  Specifically, I am interested in studying the P-partition generation function of naturally labeled posets.

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Recent papers:

• Multivariable Lucas Polynomials and Lucanomials (with K. Riley and E. Allen), Integers, Volume 21 (2021)

• P-Partitions and Quasisymmetric Power Sums (with R. Liu), International Mathematics Research Notices.

• P-partition Generating Function Equivalence of Naturally Labeled Posets (with R. Liu), Journal of Combinatorial Theory, Series A 170 (2020).

• Patterns in Inversion Sequences I (with S. Corteel, M.A. Martinez, and C. D. Savage), Discrete Mathematics and Theoretical Computer Science, Volume 18, no 2 (2016). 

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Recent Presentations:

• The Combinatorics of the P-partition Generating Function and its Irreducibility, JMM 2019

• P-Partition Generating Function Equivalence of Naturally Labeled Posets, FPSAC 2018 Poster Session, Dartmouth College, Summer 2018

• Greene's Shape and the P-partition generating function, TAGMaC, University of North Carolina, Spring 2018

• P-Partition Generating Function Equivalence of Naturally Labeled Posets, Graduate Student Combinatorics Conference, University of Texas at Dallas, Spring 2018

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