Publications  

1.  Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples (with Seoyoung Kim, and Chi Hoi Yip) 

  Canadian Journal of Mathematics, published online

2.  F-Diophantine sets over finite fields (with Chi Hoi Yip) 

  International Journal of Number Theory, vol. 21, no. 05, pp. 1043-1050 (2025)

3.  Weak Bruhat interval modules for genomic Schur functions (with Young-Hun Kim) 

  The Electronic Journal of Combinatorics, vol 31, issue 4, P4.73 (2024)

4.  Explicit constructions of Diophantine tuples over finite fields (with Seoyoung Kim, and Chi Hoi Yip)

  The Ramanujan Journal, vol 65, 163-172 (2024)

5.  Combinatorics of Euclidean spaces over finite fields* 

  Annals of Combinatorics, vol 28, 283–327 (2024) (The layout of the paper on arxiv is better)

6.  Continuously increasing subsequences of random multiset permutations (with Alexander Clifton, Bishal Deb, Yifeng Huang, and Sam Spiro) 

  European Journal of Combinatorics, vol. 110 (2023), 103708

7.  Threshold functions for incidence properties in finite vector spaces (with Jeong Han Kim, Ben Lund, and Thang Pham) 

  Finite Fields and Their Applications, vol. 87 (2023), 102149

8.  Graphs associated with orthogonal collections of k-planes over finite fields* 

  Discrete Mathematics, vol. 344 (2021), no. 9, 112496

9.  Incidences between Euclidean subspaces over finite fields* 

  Forum Mathematicum, vol. 33 (2021), no. 4, 1051-1059

10.  Pieri and Littlewood-Richardson rules for two rows and cluster algebra structure** (with Sangjib Kim) 

  Journal of Algebraic Combinatorics, vol. 45, no. 3, 887-909 (2017)

Preprints

11.  Sphere intersections and incidences over finite fields (with Doowon Koh, Ben Lund, Chuandong Xu) preprint

12.  Quasi-random hypergraphs arising from multivariate polynomials and their applications to Diophantine sets (with Seoyoung Kim, and Chi Hoi Yip) submitted

13.  Paley-like quasi-random graphs arising from polynomials (with Seoyoung Kim, and Chi Hoi Yip) submitted

14.  Intersection patterns, incidence theorems, and connections to distance problems (with Thang Pham) submitted

15.  Orientable triangulable manifolds are essentially quasigroups (with Charlotte Aten) submitted

My Co-Authors (17) (including ongoing project)

Charlotte Aten, Alexander Clifton, Bishal Deb, Junbin Dong, Yifeng Huang, Jeong Han Kim, Sangjib Kim, Seoyoung Kim(4), Young-Hun Kim, Doowon Koh, Ben Lund(2), Jorge Olivares-Vinales, Thang Pham(3), Sam Spiro, Chuandong Xu, Boqing Xue, Chi Hoi Yip(5)

I am also studying some research problems with Karim Adiprasito, Geunho Lim, and Sangrok Oh.

Conference Proceedings

• Weak Bruhat interval modules of the 0-Hecke algebras for genomic Schur functions (with Young-Hun Kim) 

  Séminaire Lotharingien de Combinatoire, 89B.54 (2023)

• Continuously increasing subsequences of random multiset permutations (with Alexander Clifton, Bishal Deb, Yifeng Huang, and Sam Spiro) 

  Séminaire Lotharingien de Combinatoire, 86B.4 (2022)

Thesis

• Combinatorics of quadratic spaces over finite fields, Ph.D. thesis (2021) (The three * papers above constitute my Ph.D. thesis.)

• Cluster algebra structure of certain quadratic algebras, Master's thesis (2016) (My Master's thesis contains a result in the paper ** above.)