Center for Mathematical Challenges
Keum, JongHae
CMC Distinguished Professor
Algebraic Geometry
- 1980 Feb: BS in Mathematics, Seoul National University, Seoul, Korea
- 1988 Aug: PhD in Mathematics, University of Michigan, Ann Arbor, USA
- 1988-1991 : Instructor, Department of Mathematics, University of Utah
- Dept. of Mathematics Education, Dept. of Mathematics, Konkuk University, Seoul, Korea
- 1991-2000 : Assistant Professor, Associate Professor, Professor, Chair,
- 2010 Sep-2013 Aug: Vice President, Korea Institute for Advanced Study
- 2013 Sep-2016 Sep: President, Korea Institute for Advanced Study
- 2000 Sep-present : Professor, School of Mathematics, KIAS
- 1993 Jan-Feb: Research Fellow, MSRI, Berkeley
- 1996 Sep-1997 Aug: Visiting Professor, University of Michigan
- 1998 Jun: JSPS Fellow, Nagoya University, Japan
- 2000 Jan: Royal Society Fellow, University of Warwick, UK
- 2000 Feb: Sprint Program Fellow, National University of Singapore
- 2004 Mar: COE Fellow, Hokkaido University, Japan
- 2004 Sep-2005 Aug: Visiting Professor, University of Michigan
- 2008 Feb 11: Korea Science Medal
- 2008 Oct-2010 Oct: Member, National Committee for Promotion of Basic Research
- 2009 Jan-2009 Nov: Affiliate Professor, Dept. of Mathematical Sciences, KAIST
- 2009 Jan-2010 Dec: Chair, Korean Mathematical Olympiad Committee
- 2009-present: Member, Steering Committee of PRIMA
- 2009 Oct-2010 Mar: Visiting Professor, Princeton University
- 2009 Jan-2012 Dec: Vice President of the Korean Mathematical Society
- 2012 Dec-2016 Dec: Member, Presidium of POSTECH
- 2013 Jun-2015 Jun: Member, National Committee for Promotion of Basic Research
Publications at KIAS
-
The Bicanonical Map of Fake Projective Planes with an Automorphism
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020 -
EXPLICIT EQUATIONS OF A FAKE PROJECTIVE PLANE
DUKE MATHEMATICAL JOURNAL, 2020 -
K3 surfaces with Picard number 2, Salem polynomials and Pell equation
JOURNAL OF PURE AND APPLIED ALGEBRA, 2020 -
Examples of Mori dream surfaces of general type with p(g)=0
ADVANCES IN MATHEMATICS, 2019 -
K3 surfaces with an order 50 automorphism
JOURNAL OF PURE AND APPLIED ALGEBRA, 2019 -
A VANISHING THEOREM ON FAKE PROJECTIVE PLANES WITH ENOUGH AUTOMORPHISMS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017 -
Orders of automorphisms of K3 surfaces
ADVANCES IN MATHEMATICS, 2016 -
Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkahler manifolds and equality of automorphisms up to powers: a dynamical viewpoint
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2015 -
K3 surfaces with an automorphism of order 66, the maximum possible
JOURNAL OF ALGEBRA, 2015 -
Gorenstein Q-homology projective planes
SCIENCE CHINA-MATHEMATICS, 2015 -
Algebraic Montgomery-Yang problem: the log del Pezzo surface case
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2014 -
K3 SURFACES WITH AN ORDER 60 AUTOMORPHISM AND A CHARACTERIZATION OF SUPERSINGULAR K3 SURFACES WITH ARTIN INVARIANT 1
MATHEMATICAL RESEARCH LETTERS, 2014 -
Algebraic Montgomery-Yang Problem: The Nonrational Surface Case
MICHIGAN MATHEMATICAL JOURNAL, 2013 -
Construction of surfaces of general type from elliptic surfaces via -Gorenstein smoothing
MATHEMATISCHE ZEITSCHRIFT, 2012 -
CONSTRUCTION OF SINGULAR RATIONAL SURFACES OF PICARD NUMBER ONE WITH AMPLE CANONICAL DIVISOR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012 -
Toward a geometric construction of fake projective planes
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2012 -
A fake projective plane constructed from an elliptic surface with multiplicities (2,4)
SCIENCE CHINA-MATHEMATICS, 2011 -
Algebraic Montgomery-Yang problem: the non-cyclic case
MATHEMATISCHE ANNALEN, 2011 -
THE MAXIMUM NUMBER OF SINGULAR POINTS ON RATIONAL HOMOLOGY PROJECTIVE PLANES
JOURNAL OF ALGEBRAIC GEOMETRY, 2011 -
CONJECTURE OF TITS TYPE FOR COMPLEX VARIETIES AND THEOREM OF LIE-KOLCHIN TYPE FOR A CONE
MATHEMATICAL RESEARCH LETTERS, 2009 -
K3 surfaces with a symplectic automorphism of order 11
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009 -
Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic
ANNALS OF MATHEMATICS, 2009 -
Quotients of fake projective planes
GEOMETRY & TOPOLOGY, 2008 -
Extensions of the alternating group of degree 6 in the geometry of K3 surfaces
EUROPEAN JOURNAL OF COMBINATORICS, 2007 -
A fake projective plane with an order 7 automorphism
TOPOLOGY, 2006 -
The alternating group of degree 6 in the geometry of the leech lattice and K3 surfaces
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2005 -
Seshadri-exceptional foliations
MATHEMATISCHE ANNALEN, 2003 -
Some remarks on the universal cover of an open K3 surface
MATHEMATISCHE ANNALEN, 2003 -
Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002 -
Birational automorphisms of quartic Hessian surfaces
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002 -
Wild p-cyclic actions on smooth projective surfaces with p(g)=q=0
JOURNAL OF ALGEBRA, 2001 -
The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001
Publications(Career)
-
A VANISHING THEOREM ON FAKE PROJECTIVE PLANES WITH ENOUGH AUTOMORPHISMS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY v.369(10), 7067-7083p. 2017 -
Order 40 automorphisms of K3 surfaces, in "Development of Moduli Theory-Kyoto 2013 (Mukai 60)"
Advanced Studies in Pure Mathematics(ASPM) by MSJ 69 (2016) 407-419. -
Orders of automorphisms of K3 surfaces
ADVANCES IN MATHEMATICS (2016) v.303 p. 39-87 -
Q-homology projective planes with nodes or cusps, in "Algebraic Geometry in East Asia-Taipei 2011"
Advanced Studies in Pure Mathematics by Math. Soc. Japan 65 (2015) 143-158. -
Gorenstein Q-homology projective planes
SCIENCE CHINA-MATHEMATICS, v.58, no.3 (2015), 501-512 -
Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkahler manifolds and equality of automorphisms up to powers: a dynamical viewpoint
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.92 (2015), 724-735 -
K3 surfaces with an automorphism of order 66, the maximum possible
JOURNAL OF ALGEBRA, v.426 (2015), 273-287 -
Algebraic Montgomery-Yang problem: the log del Pezzo surface case
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v.66, no.4 (2014), 1073-1089 -
K3 SURFACES WITH AN ORDER 60 AUTOMORPHISM AND A CHARACTERIZATION OF SUPERSINGULAR K3 SURFACES WITH ARTIN INVARIANT 1
MATHEMATICAL RESEARCH LETTERS, v.21, no.3 (2014), 509-520 -
Algebraic Montgomery-Yang Problem: The Nonrational Surface Case
MICHIGAN MATHEMATICAL JOURNAL, v.62, no.1(2013), 3-37 -
Toward a geometric construction of fake projective planes
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI -
Construction of surfaces of general type from elliptic surfaces via -Gorenstein smoothing
MATHEMATISCHE ZEITSCHRIFT, v.272 no.3-4 (2012), 1243-1257 -
Construction of singular rational surfaces of Picard number
Proceedings of American Mathematical Society, 140, no. 6 (2012), 1865-1879 -
A fake projective plane constructed from an elliptic surface with multiplicities (2,4)
Science China Mathematics, 54, no. 8 (Aug 2011, special issue for F. Catanese), -
Algebraic Montgomery-Yang Problem: the noncyclic case
Mathematische Annalen, 350, no. 3 (2011), 721-754 -
The maximum number of singular points on rational homology projective planes
Journal of Algebraic Geometry, vol.20, no. 3 (2011), 495-523 -
Projective surfaces with many nodes, in Proceedings of
Advanced Studies in Pure Mathematics by Math. Soc. Japan, 60 (2010), 245-257 -
The moduli space of Q-homology projective planes with 5 quotient singular points, in Proceedings of "Complex Geometry" in Hanoi 2009, edited by Yum-Tong Siu,D^o D'uc Th'ai, Eckart Viehweg, H'el`ene Esnault, Ph`ung H^o Hai
Acta Mathematica Vietnamica, 35 no. 1 (2010), 79-89 -
K3 surfaces with a symplectic automorphism of order 11
Journal of the European Math. Society, 11 no. 4 (Sep 2009), 799-818 -
Theorem of Lie-Kolchin type for a cone and a conjecture of Tits type for complex varieties
Mathematical Research Letters, 16 no. 1 (Jan 2009), 133-148 -
Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic
Annals of Mathematics, 169 no. 1 (Jan 2009), 269-313 -
Quotients of fake projective planes
Geometry and Topology, 12 no. 4 (Oct 2008), 2497-2515 -
A rationality criterion for projective surfaces - partial solution to Kollar's conjecture in
Contemporary Mathematics, vol. 422 (Jan 2007), 75-87 -
Extensions of the Alternating group of degree 6 in the Geometry of K3 surfaces, invited to a special issue (Groups and Geometries)
European Journal of Combinatorics 28, No. 2 (Feb 2007), 549-558 -
A fake projective plane with an order 7 automorphism
Topology 45, No.5 (Sep 2006), 919-927 -
Alternating group of degree 6 in the Geometry of the Leech lattice and K3 surfaces
Proceedings of the London Mathematical Society 90, No.2 (2005), 371-394 -
Seshadri-exceptional foliations
Mathematische Annalen 325 (2003), 287-297 -
Some remarks on the universal cover of an
Mathematische Annalen 325 (2003), 279-286 -
Birational automorphisms of quartic Hessian surfaces
Transactions of American Mathematical Society, 354, No 8 (Aug 2002), 3031-3057 -
Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds
Journal of Pure and Applied Algebra 170, No 1 (May 2002), 67-91 -
Wild p-cyclic actions on smooth projective surfaces with p_g=q=0,
Journal of Algebra 244, No. 1 (Oct 2001), 45-58 -
The automorphism groups of Kummer surfaces associated with the
Transactions of American Mathematical Society 353, No 4, (Apr 2001), 1469-1487 -
Wild p-cyclic actions on K3-surfaces
Journal of Algebraic Geometry 10, No 1, (Jan 2001), 101-131 -
Fixed locus of an involution acting on a Godeaux surface
Math. Proceedings of the Cambridge Philosophical Soc. 129 No.2 (Sep 2000), 205-216 -
A note on elliptic K3 surfaces
Transactions of American Mathematical Society 352, No 5 (May 2000), 2077-2086 -
Addendum: ``Construction of (16,6) configurations from a group of order 16" by
Journal of Algebra 216 (1999), 754-759 -
Automorphisms of a generic Jacobian Kummer surface
Geometriae Dedicata 76 (2) (July 1999), 177-181 -
On fundamental groups of fibred complex manifolds
Michigan Mathematical Journal 44 (1997), 293-298 -
Automorphisms of Jacobian Kummer surfaces
Compositio Mathematica 107 (1997), 269-288 -
Two extremal elliptic fibrations on Jacobian Kummer surfaces,
Manuscripta Mathematica 91(1996), 369-377; Erratum, 94 (1997), 543 -
Every algebraic Kummer surface is the K3-cover of an Enriques surface
Nagoya Mathematical Journal 118 (1990), 99-110
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