Inkang Kim works on hyperbolic geometry and symmetric spaces. He works on rigidity and flexibility of discrete groups acting on symmetric spaces. For rigidity side, he proved the marked length rigidity of Zariski dense subgroups of semisimple Lie groups. In the line of Weil's local rigidity, with his collaborators he proved the local rigidity of real and complex hyperbolic lattices in quaternionic hyperbolic spaces. For flexibility side, with Pierre Pansu he characterized the criterion for a deformability to a Zariski dense representation of a surface group representation in semisimple Lie groups. Specially in hyperbolic 3-manifolds, with other collaborators he generalized William Thurston's double limit theorem to any hyperbolic 3-manifold with compressible boundary.
- Feb 1990 : B.S., Seoul National University
- May 1996 : Ph.D., U.C Berkeley
- January 2004-June 2004 : IHES at Paris, member
- July 2004-Feb 2005 : Ecole Polytechnique, invite
- Oct 2004 : Universite de Grenoble I, professeur invite
- Nov 2004, August 2010 : MPI, member
- June 2005-Aug 2005 : MSRI, member
- Jan 2006 : Ecole Polytechnique, maitre de rechercheur
- Feb 2006, July-August 2008 : July-August 2009, Jan 2010 IHES, membre
- June 2006-Aug 2006 : Universidad Complutense a Madrid, invited professor
- June 2007 : Ecole Polytechnique, invited researcher
- Aug- Dec, 2007 : MSRI, member.
- Dec 2007-Feb 2008 : Ecole Polytechnique, invited researcher
- 1997-August 2000 : Assistant professor, KAIST
- September 2000-August 2008 : Assistant, Associate and full professor, Seoul National University
- September 2008-present : Professor at Korea Institute for Advanced Study
- Dec 2009, July 2010 : member, Hausdorff Institute.
- Jan-March 2011: IHP, member
• Korea Science Award, December 2021, Presidential award.
• Monthly Scientist Award by Ministry of Science and NRF, August 2017.
• Korean Academy of Science and Technology FILA basic science Award, Nov 2016.
• Korean Presidential Young scientist Award, 2007.
• Seoul National University presidential award for Research excellence, 2002.
• Research prize for BK mathematical science department, Seoul National University, Dec 2006.
• Distinguished Alumni award for KIAS fellow, Nov 2006.
• University Fellowship, UC Berkeley 1991.
• Sunkyoung Fellowship for Doctoral study abroad, Korea Foundation for Advanced studies, 1990-96.
• Graduated with Summa Cum Laude in B.S for mathematics, Seoul National University, 1990.
Publications at KIAS
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Convexity of energy functions of harmonic maps homotopic to covering maps of surfaces
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024 -
Curvature of new Kähler metrics on the total space of Griffiths negative vector bundle and quasi-Fuchsian space
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024 -
Unmarked trace spectrum rigidity on strictly convex real projective surfaces
EXPOSITIONES MATHEMATICAE, 2023 -
Isospectral finiteness on convex cocompact hyperbolic 3-manifolds
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022 -
Quaternionic hyperbolic lattices of minimal covolume
FORUM OF MATHEMATICS SIGMA, 2022 -
On the systole growth in congruence quaternionic hyperbolic manifolds
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022 -
Scalar curvature, mean curvature and harmonic maps to the circle
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2022 -
Plurisubharmonicity and Geodesic Convexity of Energy Function on Teichmuller Space
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2022 -
Deformation Spaces of Discrete Groups of SU(2,1) in Quaternionic Hyperbolic Plane: A Case Study
EXPERIMENTAL MATHEMATICS, 2021 -
On the Markus conjecture in convex case
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2021 -
Primitive stable representations in higher rank semisimple Lie groups
REVISTA MATEMATICA COMPLUTENSE, 2021 -
Continuity of the SRB entropy of convex projective structures
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021 -
BOUNDARY RIGIDITY OF CONVEX COCOMPACT REAL HYPERBOLIC MANIFOLDS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021 -
Toledo invariant of lattices in SU(2,1) via symmetric square
JOURNAL OF MATHEMATICAL PHYSICS, 2020 -
Plurisuperharmonicity of reciprocal energy function on Teichmuller space and Weil-Petersson metric
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020 -
Simplicial volume, barycenter method, and bounded cohomology
MATHEMATISCHE ANNALEN, 2020 -
Systole on locally symmetric spaces
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020 -
Seiberg-Witten theory with Spin(H) structure
JOURNAL OF MATHEMATICAL PHYSICS, 2019 -
Convex real projective structures and Weil's local rigidity theorem
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018 -
Local rigidity of complex hyperbolic lattices in semisimple Lie groups
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018 -
The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces
GEOMETRIAE DEDICATA, 2018 -
Eichler-Shimura isomorphism for complex hyperbolic lattices
JOURNAL OF GEOMETRY AND PHYSICS, 2017 -
KAHLER METRIC ON THE SPACE OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACE
JOURNAL OF DIFFERENTIAL GEOMETRY, 2017 -
Convergence of freely decomposable Kleinian groups
INVENTIONES MATHEMATICAE, 2016 -
On deformation spaces of nonuniform hyperbolic lattices
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2016 -
Separable-stable representations of a compression body
TOPOLOGY AND ITS APPLICATIONS, 2016 -
Bounded cohomology and the Cheeger isoperimetric constant
GEOMETRIAE DEDICATA, 2015 -
Counting, mixing and equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015 -
Homological and Bloch invariants for Q-rank one spaces and flag structures
GROUPS GEOMETRY AND DYNAMICS, 2015 -
Flexibility of surface groups in classical simple Lie groups
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2015 -
Primitive stable closed hyperbolic 3-manifolds
TOPOLOGY AND ITS APPLICATIONS, 2014 -
McShane's identity in rank one symmetric spaces
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2014 -
DENSITY OF ZARISKI DENSITY FOR SURFACE GROUPS
DUKE MATHEMATICAL JOURNAL, 2014 -
Volume invariant and maximal representations of discrete subgroups of Lie groups
MATHEMATISCHE ZEITSCHRIFT, 2014 -
Primitive stable representations of free Kleinian groups
ISRAEL JOURNAL OF MATHEMATICS, 2014 -
Proportionality principle for the simplicial volume of families of -rank 1 locally symmetric spaces
MATHEMATISCHE ZEITSCHRIFT, 2014 -
Asymptotic behavior of grafting rays
GEOMETRIAE DEDICATA, 2012 -
Simplicial volume of Q-rank one locally symmetric spaces covered by the product of R-rank one symmetric spaces
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2012 -
LOCAL QUATERNIONIC RIGIDITY FOR COMPLEX HYPERBOLIC LATTICES
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2012 -
Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifolds
COMPTES RENDUS MATHEMATIQUE, 2010 -
Cross-ratio in higher rank symmetric spaces
FORUM MATHEMATICUM, 2010 -
Local rigidity in quaternionic hyperbolic space
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009
Selected Publications
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Convergence of freely decomposable Kleinian groups
Inventiones Math. 204, no. 1 (2016), 83-131 DOI 10.1007/s00222-015-0609-5. -
Isospectral finiteness on hyperbolic 3-manifolds
Communications on Pure and Applied Mathematics, 59 (2006), no 5, 617-625. -
Density of Zariski density for surface groups
Duke Math. J. 163 (2014), no. 9, 1737 - 1794. -
Local Rigidity in quaternionic hyperbolic space
Journal of European Math Society, 11 (2009), no 6, 1141-1164. -
Flexibility of surface groups in classical simple Lie groups
Journal of European Math Society, 17 (9) (2015), 2209-2242. -
K"ahler metric on the space of convex real projective structures on surface
Journal of Differential Geometry, 106 (2017), 127-137. -
Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds
Jour. Diff. Geom. vol 58 (2) (2001), 189-218. -
Plurisuperharmonicity of reciprocal energy function on Teichm"uller space and Weil-Petersson metric
Journal de Math'ematiques Pures Appliqu'ees, 141 (2020), 316-341. -
Marked length rigidity of symmetric spaces
Comm. Math. Helvetici, vol 77 (2) (2002), 399-407. -
Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
Journal fur die reine und angewandte Mathematik, 704 (2015), 85-133.
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