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 3manifolds, with other collaborators he generalized William Thurston's double limit theorem to any hyperbolic 3manifold with compressible boundary.
 Feb 1990 : B.S., Seoul National University
 May 1996 : Ph.D., U.C Berkeley
 January 2004June 2004 : IHES at Paris, member
 July 2004Feb 2005 : Ecole Polytechnique, invite
 Oct 2004 : Universite de Grenoble I, professeur invite
 Nov 2004, August 2010 : MPI, member
 June 2005Aug 2005 : MSRI, member
 Jan 2006 : Ecole Polytechnique, maitre de rechercheur
 Feb 2006, JulyAugust 2008 : JulyAugust 2009, Jan 2010 IHES, membre
 June 2006Aug 2006 : Universidad Complutense a Madrid, invited professor
 June 2007 : Ecole Polytechnique, invited researcher
 Aug Dec, 2007 : MSRI, member.
 Dec 2007Feb 2008 : Ecole Polytechnique, invited researcher
 1997August 2000 : Assistant professor, KAIST
 September 2000August 2008 : Assistant, Associate and full professor, Seoul National University
 September 2008present : Professor at Korea Institute for Advanced Study
 Dec 2009, July 2010 : member, Hausdorff Institute.
 JanMarch 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, 199096.
• Graduated with Summa Cum Laude in B.S for mathematics, Seoul National University, 1990.
Publications at KIAS

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 quasiFuchsian 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 3manifolds
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 WeilPetersson 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 
SeibergWitten 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 FockGoncharov coordinates for convex projective structures on surfaces
GEOMETRIAE DEDICATA, 2018 
EichlerShimura 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 
Separablestable 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 Qrank 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 3manifolds
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 Qrank one locally symmetric spaces covered by the product of Rrank 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 3manifolds
COMPTES RENDUS MATHEMATIQUE, 2010 
Crossratio in higher rank symmetric spaces
FORUM MATHEMATICUM, 2010 
Local rigidity in quaternionic hyperbolic space
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009
Selected Publications

Convergence of freely decomposable Kleinian groups
Inventiones Math. 204, no. 1 (2016), 83131 DOI 10.1007/s0022201506095. 
Isospectral finiteness on hyperbolic 3manifolds
Communications on Pure and Applied Mathematics, 59 (2006), no 5, 617625. 
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, 11411164. 
Flexibility of surface groups in classical simple Lie groups
Journal of European Math Society, 17 (9) (2015), 22092242. 
K"ahler metric on the space of convex real projective structures on surface
Journal of Differential Geometry, 106 (2017), 127137. 
Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds
Jour. Diff. Geom. vol 58 (2) (2001), 189218. 
Plurisuperharmonicity of reciprocal energy function on Teichm"uller space and WeilPetersson metric
Journal de Math'ematiques Pures Appliqu'ees, 141 (2020), 316341. 
Marked length rigidity of symmetric spaces
Comm. Math. Helvetici, vol 77 (2) (2002), 399407. 
Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
Journal fur die reine und angewandte Mathematik, 704 (2015), 85133.
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