Pronouns: he/him
Fall 2025 conversation hours (office hours): Mon/Wed 12:15-1:45pm
Hi! I am an Assistant Professor of Mathematics, teaching 2-3 courses each semester and researching enumerative and algebraic combinatorics. I began at Cal State LA in Fall 2022. I study permutations, symmetric functions, and graph enumeration. I earned my BA in mathematics in 2013 at Carleton College (Minnesota), and I earned my PhD in mathematics at Dartmouth College in 2018 where my advisor was Sergi Elizalde. After that, I spent two years as a postdoctoral visitor at York University (Toronto) and collaborated on research with Neal Madras, followed by two years as a visiting assistant professor at Davidson College (North Carolina) where I got valuable teaching experience and worked on combinatorics research with colleague Yan Zhuang. I'm excited to be here at Cal State LA!
A guide on improving your grade in a math class, which I wrote for my calculus students
Here is my list of publications, works in progress, and unpublished papers:
- With David Bevan, “Permutation classes whose permuton limit is the diagonal permuton”, in progress.
- “New generalizations of the Foulkes Conjecture on q-binomial coefficients”, in progress.
- With Mohamed Omar, “Growth rates of permutations with given descent or peak set”, European J. Combin. 131 (2025): 104246 (free version on arXiv).
- With Mathilde Bouvel, Eric S. Egge, Rebecca N. Smith, and Jessica Striker, “Enumeration of pattern-avoiding alternating sign matrices: An asymptotic dichotomy”, Ann. Comb. (2025): doi:10.1007/s00026-025-00784-9.
- With Sergi Elizalde and Yan Zhuang, “Statistics on clusters and r-Stirling permutations”, J. Comb. 15 (2024): 319–359 (free version on arXiv).
- With Yan Zhuang, “Fibonacci numbers, consecutive patterns, and inverse peaks”, Adv. in Appl. Math. 141 (2022): 102406 (free version on arXiv).
- With Jonathan J. Fang and Zachary Hamaker, “On pattern avoidance in matchings and involutions”, Electron. J. Combin. 29 (2022): #P1.39.
- With Neal Madras, “Bounded affine permutations II. Avoidance of decreasing patterns”, Ann. Comb. 25 (2021): 1007–1048.
- With Neal Madras, “Bounded affine permutations I. Pattern avoidance and enumeration”, Discrete Math. Theor. Comput. Sci. 22(2) (2021): #1.
- “Period mimicry: A note on the (–1)-evaluation of the peak polynomials”, arXiv:1907.06681 (2019).
- “Split graphs: Combinatorial species and asymptotics”, Electron. J. Combin. 26 (2019): #P2.42.
- “On the centrosymmetric permutations in a class”, Australas. J. Combin. 74 (2019): 423–442.
- With Sergi Elizalde, “Exact and asymptotic enumeration of cyclic permutations according to descent set”, J. Combin. Theory Ser. A 165 (2019): 360–391.
- With Andy Hardt, Pete McNeely, and Tung Phan, “Combinatorial species and graph enumeration” (undergraduate thesis), arXiv:1312.0542 (2013). A concise expository introduction to the theory of combinatorial species.
- With Andy Hardt, “Restricted symmetric signed permutations”, Pure Math. Appl. 23 (2012): 179–217.