Jeong-Seop Kim
Jeong-Seop Kim
Project Research Fellow, School of Mathematics, KIAS
Email: jeongseop@kias.re.kr
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My research interests lie in algebraic geometry, and I am currently working as a project research fellow in the School of Mathematics at KIAS (Korea Institute for Advanced Study). Previously, I worked as a research fellow, mentored by Prof. Young-Hoon Kiem, and also as a project research fellow, mentored by Prof. JongHae Keum, at KIAS. Before joining KIAS, I completed my PhD at KAIST in August 2022 under the supervision of Prof. Yongnam Lee.
Publications
(with Kiryong Chung and Jaehyun Kim) Quartic curves in the quintic del Pezzo threefold, preprint (arXiv:2505.09130), 20pp.
(with Kiryong Chung and Jaehyun Kim) Rational quartic curves in the Mukai-Umemura variety, preprint (arXiv:2412.17721), 23pp.
(with Hosung Kim and Yongnam Lee) Positivity of the tangent bundle of rational surfaces with nef anticanonical divisor, preprint (arXiv:2408.14411), 20pp.
(with Hosung Kim and Yongnam Lee) Bigness of the tangent bundle of a Fano threefold with Picard number two, Nagoya Math. J. 257 (2025), 104–133. ⧉
(with Kiryong Chung) An SL(3,ℂ)-equivariant smooth compactification of moduli space of rational quartic plane curves, J. Algebra 645 (2024), 94–15. ⧉
Bigness of the tangent bundles of projective bundles over curves, C. R. Math. 361 (2023), 1115–1122. ⧉
Stability of symmetric powers of vector bundles of rank two with even degree on a curve, Internat. J. Math. 33(1) (2022), 2250001, 36 pp. ⧉
Upcoming Travel
November 10 – 14, 2025 - Tainan, Taiwan: 2025 Algebraic Geometry in East Asia
Research Talks
Weak del Pezzo surfaces with big tangent bundles (Workshop: Positivity and Hyperbolicity in Lisbon, Lisbon, Portugal, July 2, 2025)
Projective manifolds with big tangent bundles (Structures and Symmetries in Algebraic Geometry, Kraków, Poland, June 12, 2025)
Positivity of tangent bundles on projective manifolds (Mini Workshop on Real and Complex Geometry, May 17, 2025)
Weak del Pezzo surfaces with big tangent bundles (POSTECH, April 15, 2025)
Bigness of tangent bundles of manifolds of Picard number ≥ 2 (Workshop on Fano spherical varieties - 2025, Yonsei University, February 6, 2025)
Smooth projective variety with big tangent bundle (Conference on Algebraic Geometry, TSIMF, China, December 25, 2024)
Positivity of tangent bundles of weak del Pezzo surfaces (Korea University, October 29, 2024)
Positivity of tangent bundles (Workshop on Mathematical Challenges 2024, KIAS, October 17 – 19, 2024)
Positivity of tangent bundles and special rational curves (BK21 Geometry Seminar, Yonsei University, September 25, 2024)
Classification of Algebraic Varieties and Geometry of Fano Varieties (Intensive Lecture at Busan, Pukyong National University, May 24 – 25, 2024)
Geometry of Mukai-Umemura variety: A review (YeungNam Workshop on Algebraic Geometry XII, Yeungnam University, April 5 – 6, 2024)
Stability of symmetric powers of vector bundles (2023 Symposium in Algebraic Geometry, Busan, January 3 – 5, 2024)
Projective manifolds with big tangent bundles (Geometry and Topology Seminar, Pusan National University, December 4, 2023)
Smooth projective varieties with big tangent bundles (Algebraic Geometry in East Asia 2023, KIAS, November 6, 2023)
Stability of symmetric powers of vector bundles & Moduli of vector bundles and their operations (Gyeongsang National University, September 25 – 26, 2023)
Bigness of the tangent bundles of projective bundles over curves (Poster Session at A Journey through Algebraic and Complex Geometry, Buyeo, September 11 – 15, 2023)
Introduction to Vector Bundles I & II (Assistant Lectures at Conference on Derived Categories and Singularities in Algebraic Geometry, Gangneung, August 15 – 18, 2023)
Tangent bundles of del Pezzo surfaces (Korea University, June 5, 2023)
Projective manifolds with big tangent bundles (Special Session at 2023 KMS Spring Meeting, April 29, 2023)
Fano manifolds with big tangent bundles (POSTECH, April 11, 2023)
Curves on ruled surfaces (KIAS, December 22, 2022)
Projective manifolds with big tangent bundles (SWAG12, December 15, 2022)
Positivity of tangent bundles of smooth projective varieties (ASADCS, Chungnam National University, November 4, 2022)
Ruled surfaces with a curve of zero self-intersection (Korea University, October 11, 2022)
Bigness of tangent bundles of smooth projective varieties (KIAS, September 16, 2022)
Positivity of tangent bundles of Fano threefolds (IBS-CCG, February 24, 2022)
Stability of symmetric powers of vector bundles on a curve (IBS-CCG, May 13, 2021)
Ruled surfaces with a k-section of zero self-intersection (Contributed Talk at 2020 KMS Annual Meeting, October 24, 2020)
Activities Organized
KIAS HCMC Algebraic Geometry Seminar (2023 – )
Conference on Recent Progress in Algebraic Geometry (Gangneung, November 4 – 8, 2024)
Exploring Algebraic Geometry & Topology (Yangpyeong, May 30 – June 1, 2023)
Budding Workshop in Algebraic Geometry (Dongtan, March 30 – April 1, 2023)
Teaching Experiences
TA at KAIST (2014 – 2020): Calculus (Note for recitation classes on vector calculus), Introduction to Linear Algebra, Modern Algebra
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