Publications

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

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

International Journal of Number Theory, vol. 21, no. 05, pp. 1043-1050 (2025) Editor’s Picks 2024

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

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

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

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

Combinatorics of Euclidean spaces over finite fields*

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

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

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

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

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

Incidences between Euclidean subspaces over finite fields*

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

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

Sphere intersections and incidences over finite fields (with Doowon Koh, Ben Lund, Chuandong Xu) submitted
f-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials (with Seoyoung Kim, and Chi Hoi Yip) submitted
Paley-like quasi-random graphs arising from polynomials (with Seoyoung Kim, and Chi Hoi Yip) submitted
Intersection patterns and connections to distance problems (with Thang Pham) submitted
Orientable triangulable manifolds are essentially quasigroups (with Charlotte Aten) submitted

My Co-Authors (21) (including ongoing project)

Karim Adiprasito Jussieu Institute of Mathematics - Paris Rive Gauche (IMJ-PRG), France
Charlotte Aten University of Colorado Boulder, CO, USA
Alexander Clifton Czech Technical University, Prague, Czech
Bishal Deb Yau Mathematical Sciences Centre, Tsinghua University, Beijing, China
Junbin Dong Shanghai Tech University, China
Yifeng Huang University of Southern California, CA, USA
Jeong Han Kim Korea Institute for Advanced Study, Seoul, Korea
Sangjib Kim Korea University, Seoul, Korea
Seoyoung Kim(5) University of Basel, Swithland
Young-Hun Kim Seoul Women’s University, Korea
Doowon Koh Chungbuk National University, Korea
Geunho Lim Jussieu Institute of Mathematics - Paris Rive Gauche (IMJ-PRG), France
Ben Lund(2) Institute of Mathematics and Interdisciplinary Sciences, Xidian University, China
Sangrok Oh University of the Basque Country, Spain
Jorge Olivares-Vinales Shanghai Center for Mathematical Sciences, Fudan University, China
Thang Pham(4) Vietnam National University, Hanoi, Vietnam
Harry Richman National Center for Theoretical Sciences, Taiwan
Sam Spiro Georgia State University, GA, USA
Chuandong Xu Xidian University, Xi'an, China
Boqing Xue Shanghai Tech University, China
Chi Hoi Yip(6) Georgia Institute of Technology, GA, USA

Service

I have refereed 5 papers for mathematics journals, including

Annals of Combinatorics
Bulletin of the Korean Mathematical Society
European Journal of Combinatorics
Journal of Algebraic Combinatorics
Research in Number Theory

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.)

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