Research

Publications

  1. In-Kyun Kim, Yuchen Liu, and Chengxi Wang, Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces, Forum of Mathematics, Sigma 14 (2026), e79. DOI

  2. In-Kyun Kim and Joonyeong Won, On K-stability of blow-ups of weighted projective planes, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 156 (2026) no. 3, 1013-1029. DOI

  3. In-Kyun Kim, Takashi Kishimoto, and Joonyeong Won, Cylinders in Weighted Fano Hypersurfaces via Projections and Unprojections, Taiwanese Journal of Mathematics (2025) 29 no. 6, 1495–1505. DOI

  4. In-Kyun Kim, Jinhyung Park, and Joonyeong Won, K-polystability of the first secant varieties of rational normal curves, International Mathematics Research Notices 2025, no. 7 (2025). DOI

  5. In-Kyun Kim, Jaehyun Kim, and Joonyeong Won, K-unstable singular del Pezzo surfaces without anticanonical polar cylinder, International Mathematics Research Notices 2024, no. 18 (2024), 12599–12619. DOI

  6. In-Kyun Kim, Takuzo Okada, and Joonyeong Won, K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces, Forum of Mathematics, Sigma 11 (2023), E93. DOI

  7. In-Kyun Kim and Joonyeong Won, Delta-invariants of complete intersection log del Pezzo surfaces, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 153 (2023), no. 3, 1021-1036. DOI

  8. Dasol Jeong, In-Kyun Kim, Jihun Park, and Joonyeong Won, New Sasaki–Einstein 5-manifolds, Journal of the London Mathematical Society 107 (2023), no. 3, 821-842. DOI

  9. In-Kyun Kim, Viswanathan Nivedita, and Joonyeong Won, K-stability of log del Pezzo hypersurfaces with index 2, International Journal of Mathematics 33 (2022), no. 14, 2250070. DOI

  10. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Briançon–Skoda exponents and the maximal root of reduced Bernstein–Sato polynomials, Selecta Mathematica. New Series 28 (2022), no. 4, Paper No. 78. DOI

  11. In-Kyun Kim and Yongjoo Shin, Log canonical thresholds on Burniat surfaces with \(K^2 = 6\) via pluricanonical divisors, Taiwanese Journal of Mathematics 26 (2022), no. 6, 1133–1144. DOI

  12. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Higher Du Bois singularities of hypersurfaces, Proceedings of the London Mathematical Society 125 (2022), no. 3, 543–567. DOI

  13. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Hodge ideal and spectrum of isolated hypersurface singularities, Annales de l’Institut Fourier 72 (2022), no. 2, 465–510. DOI

  14. In-Kyun Kim and Joonyeong Won, Unstable singular del Pezzo hypersurfaces with lower index, Communications in Algebra 49 (2021), no. 6, 2679-2688. DOI

  15. In-Kyun Kim, Takuzo Okada, and Joonyeong Won, Alpha invariants of birationally bi-rigid Fano 3-folds I, European Journal of Mathematics 7 (2021), no. 1, 272-308. DOI

  16. In-Kyun Kim and Yongjoo Shin, Log canonical thresholds of Burniat surfaces with \(K^2 = 6\), Mathematical Research Letters 27 (2020), no. 4, 1079–1094. DOI

  17. In-Kyun Kim and Joonyeong Won, Weakly exceptional singularities of log del Pezzo surfaces, International Journal of Mathematics 30 (2019), no. 1, 1950010. DOI

  18. In-Kyun Kim, Takuzo Okada, and Joonyeong Won, Alpha invariants of birationally rigid Fano threefolds, International Mathematics Research Notices 2018, no. 9 (2018), 2745-2800. DOI

  19. Young-Hoon Kiem, In-Kyun Kim, Hwayoung Lee, and Kyoung-Seog Lee, All complete intersection varieties are Fano visitors, Advances in Mathematics 311 (2017), 649-661. DOI

  20. In-Kyun Kim and Jihun Park, Log Canonical Thresholds of Complete Intersection Log Del Pezzo Surfaces, Proceedings of the Edinburgh Mathematical Society 58 (2015), no. 2, 445-483. DOI

Preprints

  1. In-Kyun Kim, Takashi Kishimoto, and Joonyeong Won, On the Cylindricity of Certain Weighted Hypersurfaces.

  2. In-Kyun Kim, Masatomo Sawahara, and Joonyeong Won, Polarized cylinders on blow-ups of weighted projective planes. arXiv:2605.10244

  3. Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto, and Joonyeong Won, Cylinders in weighted Fano varieties. arXiv:2603.11490

  4. In-Kyun Kim, Dae-Won Lee, and Masatomo Sawahara, Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero. arXiv:2512.20134

  5. In-Kyun Kim and Morihiko Saito, Subtlety of oscillation indices of oscillatory integrals of real analytic functions. arXiv:2511.16257

  6. In-Kyun Kim, Takashi Kishimoto, and Joonyeong Won, Automorphism groups and cylindricity of weighted hypersurface Fano threefolds. arXiv:2508.04367

  7. In-Kyun Kim and Dae-Won Lee, K-stability of del Pezzo surfaces with a single quotient singularity. arXiv:2507.13649

  8. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Tjurina spectrum and graded symmetry of missing spectral numbers. arXiv:2411.17601

  9. In-Kyun Kim, Jaehyun Kim, and Joonyeong Won, Rigid affine cones over singular del Pezzo surfaces. arXiv:2506.01310

  10. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Some remarks on the generalized Hertling conjecture for Tjurina spectrum. arXiv:2406.06242

  11. Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, and Youngho Yoon, Spectrum of non-degenerate functions with simplicial Newton polytopes. arXiv:1911.09465

  12. Seung-Jo Jung, In-Kyun Kim, and Youngho Yoon, Hodge ideal and spectrum of weighted homogeneous isolated singularities. arXiv:1812.07298

Books

  1. In-Kyun Kim, Viswanathan Nivedita, and Joonyeong Won, On Singular Del Pezzo Hypersurfaces of Index 3, in Birational Geometry, Kähler–Einstein Metrics and Degenerations, I. Cheltsov, X. Chen, L. Katzarkov, and J. Park, eds., Springer International Publishing, Cham, 2023, 409–422. DOI