In-Kyun Kim

    Email : soulcraw@gmail.com


Who am I

I am a research professor of Department of mathematics, Yonsei University in Korea. My primary research interests are in algebraic geometry and complex geometry, particularly birational geometry. More precisely, my research currently focuses on the study of Fano varieties and its applications.

Contact Information

Department of Mathematics Yonsei University 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea


Education

Ph. D. in Mathematics

POSTECH, Korea

Adviser: Professor Jihun Park

Thesis: Log canonical thresholds of complete intersection log del Pezzo surfaces


B. A. in Mathematics

Inha University, Korea

Award: Summa Cum Laude from College of Natural Sciences


Employment

Research Professor

Department of Mathematics, Yonsei University


Research Professor

Mathematics, Sungkyunkwan University


Postdoctoral Researcher

Research Institute of Mathematics, Seoul National University


Postdoctoral Researcher

SNU Mathematical Sciences Division for Creative Human Resources Development


Postdoctoral Researcher

Research Institute of Mathematics, Seoul National University


Research Interests

Algebraic Geometry, Birational Geometry

Fano varieties, Burniat surfaces

Log canonical threshold, α-invariant, β-invariant and δ-invariant

k-stable

Mixed Hodge module


Publications

  1. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito and YoungHo Yoon, 2021, Hodge ideal and spectrum of isolated hypersurface singularities, Annales de l’Institut Fourier, to appear.

  2. In-Kyun Kim and Joonyeong Won, 2021, Unstable singular del Pezzo hypersurfaces with lower index, Communications in Algebra, Volume 49, Issue 6, pages 2679-2688, ISSN 0092-7872, https://doi.org/10.1080/00927872.2021.1880591.

  3. In-Kyun Kim, Takuzo Okada and Joonyeong Won, 2021, Alpha invariants of birationally bi-rigid Fano 3-folds I, European Journal of Mathematics, Volume 7, Issue 1, pages 272–308, ISSN 2199-675X, https://doi.org/10.1007/s40879-020-00441-w.

  4. In-kyun Kim and Yongjoo Shin, 2020, Log canonical thresholds of Burniat surfaces with K^2 = 6, Mathematical Research Letters, Volume 27, Number 4, Pages 1079–1094, ISSN 1073-2780, https://dx.doi.org/10.4310/MRL.2020.v27.n4.a5.

  5. In-Kyun Kim and Joonyeong Won, 2019, Weakly exceptional singularities of log del Pezzo surfaces, International Journal of Mathematics, Volume 30, Number 01, Pages 1950010, ISSN 0129-167X, https://doi.org/10.1142/S0129167X19500101.

  6. In-Kyun Kim, Takuzo Okada and Joonyeong Won, 2018, Alpha invariants of birationally rigid Fano threefolds, International Mathematics Research Notices, Volume 2018, Issue 9, Pages 2745—2800, ISSN 1073-7928, https://doi.org/10.1093/imrn/rnw310.

  7. Young-Hoon Kiem, In-Kyun Kim, Hwayoung Lee and Kyoung-Seog Lee, 2017, All complete intersection varieties are Fano visitors, Advances in Mathematics, Volume 311, Pages 649-661, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2017.02.030.

  8. In-Kyun Kim and Jihun Park, 2015, Log Canonical Thresholds of Complete Intersection Log Del Pezzo Surfaces. Proceedings of the Edinburgh Mathematical Society, Volume 58, Number 2, Pages 445-483, ISSN 0013-0915, https://doi.org/10.1017/S0013091515000012.

Preprints

  1. In-Kyun Kim, Takuzo Okada and Joonyeong Won, 2020, K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces, https://arxiv.org/abs/2011.07512.

  2. In-Kyun Kim and Joonyeong Won, 2020, Delta-invariants of complete intersection log del Pezzo surfaces.

  3. Seung-Jo Jung, In-Kyun Kim, Youngho Yoon and Morihiko Saito, 2019, Gamma-spectrum of non-degenerate functions with simplicial Newton polyhedra, https://arxiv.org/abs/1911.09465.

  4. Seung-Jo Jung, In-Kyun Kim and YoungHo Yoon, 2018, Hodge ideal and spectrum of weighted homogeneous isolated singularities, https://arxiv.org/abs/1812.07298.