Academic position: Mar. 2026 – present, Project Research Fellow (Postdoc, Sejong Science Fellowship), School of Mathematics, Korea Institute for Advanced Study (KIAS) (mentor: Prof. Young-Hoon Kiem) [link] 

Previously: 

Apr. 2025 – Feb. 2026, KIAS Junior Fellow, KIAS (mentor: Prof. Young-Hoon Kiem)

Mar. 2023 – Mar. 2025, Research Fellow, KIAS (mentor: Prof. Young-Hoon Kiem)

Sep. 2021 – Feb. 2023, Project Research Fellow, KIAS (mentor: Prof. JongHae Keum)

Education: Mar. 2016 – Aug. 2021, Ph. D., Mathematical Sciences, Korea Advanced Institute of Science and Technology (KAIST)

Advisor: Prof. Sijong Kwak

Dissertation: A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture

Research Interests

Projective algebraic geometry

higher secant/osculating varieties, linear projections, symmetric powers of a variety, Hilbert schemes of points on a variety

Equations, relations, and syzygies

graded Betti numbers (Koszul cohomology groups), linear syzygies, asymptotic syzygies (the gonality conjecture), Green’s conjecture, Castelnuovo-Mumford regularity (the Eisenbud-Goto regularity conjecture)

Multilinear algebra

tensors, Schur functors

Papers

[arXiv] [ResearchGate] [Google Scholar] 

Publications

1. A matryoshka structure of higher secant varieties and the generalized Bronowski’s conjecture (with Prof. Sijong Kwak),

Advances in Mathematics, 406 (2022): 108526 [link] 

2. Castelnuovo–Mumford regularity of unprojections and the Eisenbud–Goto regularity conjecture, 

International Mathematics Research Notices, 2025.3 (2025): rnaf017 [link] 

3. Determinantal characterization of higher secant varieties of minimal degree (with Prof. Sijong Kwak),

 to appear [link] 

Preprint(s)

1. Syzygies of secant varieties of smooth projective curves and gonality sequences (with Prof. Sijong Kwak and Prof. Jinhyung Park) 

[link] 

2. A Fröberg type theorem for higher secant complexes (with Dr. Jaewoo Jung) 

[link] 

3. Quadratic equations of tangent varieties via four-way tensors of linear forms 

[link]

Ongoing project(s)

1. General tangential projections of del Pezzo varieties (with Prof. Sijong Kwak)

2. Green-Lazarsfeld index of Gaussian graphical models (with Prof. Kangjin Han)

Selected talks

1. Families of unprojections with large regularity, Workshop on ring theory and combinatorics, Thanh Hoa, Jul. 2022

2. Parallel syzygies of higher secant varieties, Geometry of secants, Warsaw, Oct. 2022

3. Partial elimination spectral sequence and its applications, Hybrid: SIAM Conference on Applied Algebraic Geometry (AG23), Eindhoven, Jul. 2023

4. (Poster) Linear syzygies of tangent varieties to Segre varieties with four factors, Modules & Rings: Recent Developments in Commutative Algebra - A conference in honor of Marilina Rossi, Genoa, Jun. 2025

5. (Poster) Determinantal type quadratic equations of tangent varieties, The 46-th Frontier Scientists Workshop, Ischia, Oct. 2025