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Updated: Apr. 2026
Personal Information
Personal Information
Family name: Choe / Given name: Junho
Family name: Choe / Given name: Junho
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 (Postdoc), School of Math., KIAS (mentor: Prof. Young-Hoon Kiem)
Mar. 2023 – Mar. 2025, Research Fellow (Postdoc), School of Math., KIAS (mentor: Prof. Young-Hoon Kiem)
Sep. 2021 – Feb. 2023, Project Research Fellow (Postdoc), School of Math., 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
Address: School of Mathematics, Korea Institute for Advanced Study (KIAS), 85, Hoegi-ro, Dongdaemun-gu, Seoul, Republic of Korea
Email: junhochoe_at_kias_dot_re_dot_kr
Research Interests
Research Interests
Projective algebraic geometry
Projective algebraic geometry
higher secant/osculating varieties, linear projections, symmetric powers of a variety, Hilbert schemes of points on a variety
higher secant/osculating varieties, linear projections, symmetric powers of a variety, Hilbert schemes of points on a variety
Equations, relations, and syzygies
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
Multilinear algebra
tensors, Schur functors
Papers
Papers
[arXiv] [ResearchGate] [Google Scholar]
Publications
Publications
A matryoshka structure of higher secant varieties and the generalized Bronowski’s conjecture (with Prof. Sijong Kwak), Advances in Mathematics, 406 (2022): 108526 [link]
Castelnuovo–Mumford regularity of unprojections and the Eisenbud–Goto regularity conjecture, International Mathematics Research Notices, 2025.3 (2025): rnaf017 [link]
Determinantal characterization of higher secant varieties of minimal degree (with Prof. Sijong Kwak), to appear [link]
Preprint(s)
Preprint(s)
Syzygies of secant varieties of smooth projective curves and gonality sequences (with Prof. Sijong Kwak and Prof. Jinhyung Park) [link]
A Fröberg type theorem for higher secant complexes (with Dr. Jaewoo Jung) [link]
Quadratic equations of tangent varieties via four-way tensors of linear forms [link]
Ongoing project(s)
Ongoing project(s)
General tangential projections of del Pezzo varieties (with Prof. Sijong Kwak)
Green-Lazarsfeld index of Gaussian graphical models (with Prof. Kangjin Han)
Selected talks
Selected talks
Families of unprojections with large regularity, Workshop on ring theory and combinatorics, Thanh Hoa, Jul. 2022
Parallel syzygies of higher secant varieties, Geometry of secants, Warsaw, Oct. 2022
Partial elimination spectral sequence and its applications, Hybrid: SIAM Conference on Applied Algebraic Geometry (AG23), Eindhoven, Jul. 2023
(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
(Poster) Determinantal type quadratic equations of tangent varieties, The 46-th Frontier Scientists Workshop, Ischia, Oct. 2025
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