Kiem, Young-Hoon
Professor
Algebraic geometry
A fundamental problem in algebraic geometry is to classify algebraic varieties and geometric structures such as vector bundles and sheaves. It is well known that these classifications are attained by algebraic varieties, called moduli spaces. By intersection theory on moduli spaces, we may find algebro-geometric objects of interest. Prof. Kiem's research has been mainly focused on the geometry of moduli spaces, intersection theory and enumerative invariants. He is also interested in applications of algebraic geometry.
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BS, Seoul National University, Mathematics, February 1993.
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PhD, Yale University, Mathematics, May 2000. (Thesis advisor: Professor Ronnie Lee)
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Szego Assistant Professor, Department of Mathematics, Stanford University, September 2000 - August 2002.
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Professor, Department of Mathematics, Seoul National University, September 2002 - December 2022.
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Professor, School of Mathematics, Korea Institute for Advanced Study, December 2022-present.
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Fellow of the Korean Academy of Science and Technology, 2020 - present.
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DI Award, KMS, 2017.
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Scientist of the Month, NRF, 2014.
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Young Scientist Award, 2009, KAST.
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Article Award, KMS, 2006.
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Best Paper Award, KOFST 2005.
Publications at KIAS
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Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2024 -
GENERALIZED DONALDSON-THOMAS INVARIANTS VIA KIRWAN BLOWUPS
JOURNAL OF DIFFERENTIAL GEOMETRY, 2024 -
Representations on the cohomology of M0,n
ADVANCES IN MATHEMATICS, 2023 -
LOCALIZING VIRTUAL CYCLES FOR DONALDSON-THOMAS INVARIANTS OF CALABI-YAU 4-FOLDS
JOURNAL OF ALGEBRAIC GEOMETRY, 2023
Selected Publications
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Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds
Journal of Algebraic Geometry 32 (2023), 585-639. -
K-theoretic generalized Donaldson-Thomas invariants
International Mathematics Research Notices, Vol. 2022, Issue 3, 2022, Pages 2123–2158. -
Quantum singularity theory via cosection localization
Journal fur die reine und angewandte Mathematik, Vol 766, 73-107, 2020. -
All complete intersection varieties are Fano visitors
Advances in Mathematics, Vol. 311, 649~661, 2017. -
orus localization and wall crossing for cosection localized virtual cycles
Advances in Mathmatics, Vol 308, 964-986, 2017. -
Product vectors in the ranges of multi-partite states with positive partial transposes and permanents of matrices
Communications in Mathematical Physics, Vol. 338, Issue 2, 621~639, 2015. -
Localizing virtual cycles by cosections
Journal of the American Mathematical Society, Vol 26, No 4, 1025-1050, 2013. -
Poincare invariants are Seiberg-Witten invariants
Geometry and Topology, Vol 17, 1149-1163, 2013. -
Hecke correspondence, stable maps and the Kirwan desingularization
Duke Mathematical Journal, Vol 136, No 3, 585-618, 2007. -
Intersection cohomology of quotients of nonsingular varieties
Inventiones Mathematicae 155, 163-202, 2004.
- Office: 1305 / TEL) 82-2-958-3716 /
- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.