Research Interests
Research Interests
(Computational) Algebraic Geometry
Tensor Rank and Waring Locus, especially Quadratic Rank
Determinantal Varieties: Investigating the defining equations and criteria for specific varieties.
(Computational) Algebraic Geometry
Tensor Rank and Waring Locus, especially Quadratic Rank
Determinantal Varieties: Investigating the defining equations and criteria for specific varieties.
Park, Euisung; Sim, Saerom, On rank 3 quadratic equations of Veronese embeddings, Math. Nachr., 298 (2025), no. 9, 3135–3155.
Lee, Donghyeop; Park, Euisung; Sim, Saerom, Rank 3 quadratic generators of Veronese embeddings: the characteristic 3 case, J. Algebra 706 (2026), 203–220.
Kim, Sangjib; Lee, Donghyeop; Park, Euisung; Sim, Saerom, Recognition problem of surfaces of minimal degree.
Moon, Hyunsuk; Park, Euisung; Sim, Saerom, Detemining determinantal presentations and rank indices of some specific varieties.
“On rank-3 quadratic equations of rational normal curves,” Algebraic Geometry Seminar, Jeonbuk National University, Aug 8–10, 2022.
“On rank-3 quadratic equations of rational normal curves,” Jeonju Algebraic Geometry 3, Jeonju University, Apr 18–21, 2023.
“On pencils of quadrics,” Algebraic Geometry Seminar, Jeonbuk National University, Sep 20–22, 2023.
“Linear determinantal equations for all projective schemes,” Algebraic Geometry Seminar, Pukyong National University, Jul 1–3, 2025.
“Rank-3 quadratic equations of Veronese varieties,” SKKU–KU Graduate Student Meeting in Algebraic Geometry, Pukyong National University, Aug 27, 2025.
"Some properties of the rank 3 locus of Veronese varieties," Algebraic Geometry Seminar, Korea University, Mar 31, 2026.
"On the geometry of the rank 3 loci of Veronese embeddings," Algebraic Geometry Seminar, KIAS, Apr 28, 2026.
"On the algebraic properties of quadratic polynomials", Seminar on Algebraic Geometry at Daegu, Kyungpook National University, May 20, 2026.
"Waring loci and the Strassen conjecture", BRL-AGSTA One-day Workshop, DGIST, Jun 17, 2026.
"Computational aspects of the QR(3) property", KMS 80th Anniversary Conference, Jun 22, 2026.
“On rank-3 quadratic equations of Veronese varieties,” Korea–Yonsei Academic Exchange in Science, Korea University, Sep 18, 2024.
"On the quadratic rank of Veronese embeddings in all characteristics", Commutative Algebra and Algebraic Geometry in Milan, Politecnico di Milano, Jun 30, 2026.
[ 2026.3 ] -
[DGIST BRL-AGSTA ] [ Postdoctoral Researcher ]
Advisor: Prof. Kangjin Han
[ 2020.3 ] - [ 2026.2 ]
[Korea University ] [ Ph.D. in Mathematics ]
Advisor: Prof. Euisung Park
Thesis: On the algebraic properties of Veronese embeddings
–
[ 2018.3 ] - [ 2020.2 ]
[ Korea University ] [ M.S. in Mathematics ]
Advisor: Prof. Euisung Park
–
[ 2014.3] - [ 2018.2 ]
[ Korea University ] [ B.S. in Mathematics ]
Assisted in tutorials and grading for undergraduate courses at Korea University.
Linear Algebra 1, 2 with Lab
Algebra 1, 2
Topics in Algebra
Set Theory
Combinatorics
Analysis 2
2018 Spring Linear Algebra 1 with Lab
2018 Fall Linear Algebra 2 with Lab, Combinatorics
2019 Spring Linear Algebra 1 with Lab, Algebra 1, Topics in Algebra
2019 Fall Linear Algebra 1 with Lab
2020 Spring Linear Algebra 1 with Lab
2020 Fall Linear Algebra 1 with Lab, Topics in Algebra
2021 Spring Linear Algebra 1 with Lab, Algebra 1
2021 Fall Set Theory, Analysis 2 with Lab
2022 Spring Linear Algebra 1 with Lab, Algebra 1
2022 Fall Algebra 2
2023 Spring Linear Algebra 1 with Lab, Algebra 1, Topics in Algebra
2023 Fall Algebra 2
2024 Spring Linear Algebra 1 with Lab, Algebra 1
2024 Fall Linear Algebra 2 with Lab, Algebra 2
2025 Spring Linear Algebra 1 with Lab, Algebra 1
2025 Fall Linear Algebra 2 with Lab, Algebra 2