Research & Talks

Papers

• Stembridge codes, permutahedral varieties, and their extensions
  arXiv:2403.10577 submitted.

• Combinatorics of generalized parking function polytopes
  with Margaret M. Bayer, Steffan Borgwardt, Terresa Chambers, Spencer Daugherty, Aleyah Dawkins, Danai Deligeorgaki, Tyrrell McAllister, Angela Morrison, Garrett Nelson, Andrés R. Vindas-Meléndez   arXiv:2403.07387 submitted.

• Stembridge codes and Chow rings
  Séminaire Lotharingien Combinatoire 89B (2023), Article #88.
  Proceedings of the 35th Conference on Formal Power Series and Algebraic Combinatorics, Davis, California. (Talk).  

• Revisiting the general cubic: A simplification of Cardano's solution
  with Peter Jao-Shyong Shiue, Mark Saul
  The Mathematical Gazette 107, no. 570, Nov (2023).   arXiv:2204.07507  

• Signed Mahonian identities on permutations with subsequence restrictions
  with Sen-Peng Eu, Tung-Shan Fu, Hsiang-Chun Hsu, Wei-Liang Sun
  Journal of Combinatorial Theory, Series A 170 (2020).   FPSAC abstract 

• Signed mahonian identities on permutations with subsequence restrictions
  with Sen-Peng Eu, Tung-Shan Fu, Hsiang-Chun Hsu, Wei-Liang Sun
  Séminaire Lotharingien Combinatoire 82B (2019), Article #21.
  Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics, Ljubljana, Slovenia. (Poster presented by T.-S. Fu).

• Signed countings of types B and D permutations and t,q-Euler numbers
  with Sen-Peng Eu, Tung-Shan Fu, Hsiang-Chun Hsu
  Advances in Applied Mathematics 97 (2018).   arXiv:1708.05518

• Folding phenomenon of major-balance identities on restricted involutions
  with Tung-Shan Fu, Hsiang-Chun Hsu
  Taiwanese Journal of Mathematics 22 (2018). arXiv:1711.04601

Below are papers coming from my undergraduate research 

• Matrix representation of recursive sequences of order 3 and its applications
  with Tien-Xiao He, Peter Jao-Shyong Shiue
  Journal of Mathematical Research with Applications 38 (2018) no. 3.

• Application of Faà di Bruno's formula in the construction of combinatorial identities
  with Tien-Xiao He, Peter Jao-Shyong Shiue
  Journal of Combinatorics and Number Theory 7 (2015) no. 3.

• The Pascal matrix function and its applications to Bernoulli numbers and Bernoulli polynomials and Euler numbers and Euler polynomials
  with Tien-Xiao He, Peter Jao-Shyong Shiue
  Journal of Combinatorics and Number Theory 6 (2014) no. 3.

In preparation

• Chow rings and augmented Chow rings of uniform matroids and their q-analogs

On going projects

• Equivariant gamma expansion on Chow ring of matroids

• (With E. Banaian, K. Celano, M. Chang-Lee, Y. L. Lee, J. Quail, P. Rombach, S. Sundaram) Cyclic sieving phenomenon on Positroids. 

Unpublished work

• A folding Phenomenon on partitions
  with Sen-Peng Eu, Hsiang-Chun Hsu

Thesis

• Signed countings of types B and D permutations and t,q-Euler numbers, Master Thesis

Conference Talks

• 3/23/2024 Stembridge codes, permutahedral varieties, and their extensions, AMS Sectional Meeting, Florida State University

• 9/4/2023    (Augmented) Chow rings of (q-)uniform matroids, ICECA 2023 (virtual), Video

• 7/19/2023 Stembridge codes and Chow rings, FPSAC, UC Davis, Video

• 5/20/2023 Stembridge codes and Permutohedral varieties, Subtropic Symposium for Upcoming Mathematicians, Florida International University 

• 3/18/2023 Stembridge codes and Permutohedral varieties, GSCC 2023, Washington University in St. Louis

• 7/15/2022 Stembridge codes, Chow rings of Boolean matroids, and their extensions, Summer School in Algebraic Combinatorics 2022, Kraków

• 6/3/2022    Stembridge codes and Permutohedral varieties, Student Symposium in Combinatorics 2022 (online), Video

Seminar Talks

• 12/27,28/2023 Short lectures: Building sets to nestohedra and Chow rings of matroids, National Taiwan Normal University

• 10/26/2023 Stembridge codes, Chow ring of the permutahedral variety, and their extensions, ACO seminar at Carnegie Mellon University

• 10/20/2023 Stembridge codes, Chow ring of the permutahedral variety, and their extensions, Combinatoric Seminar at U of Michigan

• 9/20/2023 Stembridge codes, Chow ring of the permutahedral variety, and their extensions, Graduate Online Combinatorics Colloquium (GOCC)

• 2/24/2023 The characteristic polynomial of a matroid is log-concave, Graduate student seminar at U of Miami

• 2/20/2023 Chow rings and augmented Chow rings of uniform matroids and their q-analogs, University of Miami Combinatoric Seminar

• 9/9/2022   From building sets to graph associahedra, Graduate student seminar at U of Miami

• 3/28/2022  Stembridge codes, Chow rings of Boolean matroids, and their extensions, University of Miami Combinatorics Seminar

• 9/24/2021  Classification of finite reflection groups II, Graduate student seminar at U of Miami

• 9/17/2021  Classification of finite reflection groups I, Graduate student seminar at U of Miami

• 2/14/2020  Signed Mahonian on parabolic quotients of the symmetric group, Graduate student seminar at U of Miami