School of Mathematics
Park, Jinsung
Professor (Vice President)
Global Analysis
Jinsung Park works on the spectral invariants of the geometric operators, which encode global structures of geometry and topology of manifolds. His major works include gluing formulas of the spectral invariants and their relations with the Selberg zeta functions for non-compact hyperbolic manifolds.
- 1991 : B.S. Mathematics, Seoul National University
- 1993 : M.S. Mathematics, Seoul National University
- 1997 : Ph.D. Mathematics, Seoul National University
- 1997 - 1998 : Postdoctoral fellow, Global Analysis Research Center Seoul, Korea
- 1998 - 2000 : Research fellow, Korea Institute for Advanced Study, Seoul, Korea
- 2000 - 2001: Visiting Scholar, Indiana University-Purdue University, Indianapolis, U.S
- 2002 - 2003 : Research fellow, Max Planck Institute of Mathematics, Bonn, Germany
- 2003 - 2005 : Research Assistant, Institute of Mathematics, University of Bonn, Germany
- 2005 - : Professor, Korea Institute for Advanced Study, Seoul, Korea
Publications at KIAS
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Liouville Action for Harmonic Diffeomorphisms
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021 -
Reidemeister torsion, complex volume and the Zograf infinite product for hyperbolic 3-manifolds
GEOMETRY & TOPOLOGY, 2019 -
Liouville Action and Holography on Quasi-Fuchsian Deformation Spaces
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018 -
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
ADVANCES IN MATHEMATICS, 2017 -
Tau function and Chern Simons invariant
ADVANCES IN MATHEMATICS, 2014 -
Bergman and Caldern Projectors for Dirac Operators
JOURNAL OF GEOMETRIC ANALYSIS, 2014 -
Regularity of the eta function on manifolds with cusps
MATHEMATISCHE ZEITSCHRIFT, 2011 -
Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
ADVANCES IN MATHEMATICS, 2010 -
The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps
MATHEMATISCHE ANNALEN, 2010 -
Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
JOURNAL OF FUNCTIONAL ANALYSIS, 2009 -
The ubiquitous zeta-function and some of its 'usual' and 'unusual' meromorphic properties
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008 -
Adiabatic limit of the eta invariant over cofinite quotients of PSL(2, R)
COMPOSITIO MATHEMATICA, 2008 -
Exotic expansions and pathological properties of zeta-functions on conic manifolds
JOURNAL OF GEOMETRIC ANALYSIS, 2008 -
Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2008 -
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
MANUSCRIPTA MATHEMATICA, 2008 -
Analytic torsions for hyperbolic manifolds with cusps
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007 -
Zeta regularized determinants for conic manifolds
JOURNAL OF FUNCTIONAL ANALYSIS, 2007 -
Zeta functions of Dirac and Laplace-type operators over finite cylinders
ANNALS OF PHYSICS, 2006 -
On the gluing problem for the spectral invariants of Dirac operators
ADVANCES IN MATHEMATICS, 2006 -
Boundary problems for Dirac-type operators on manifolds with multi-cylindrical end boundaries
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2006 -
Relative formul ae for the spectral invariants of the b-calculus and generalized APS boundary problems of Dirac operators
PACIFIC JOURNAL OF MATHEMATICS, 2006 -
Adiabatic decomposition of the xi-determinant and scattering theory
MICHIGAN MATHEMATICAL JOURNAL, 2006 -
xi-determinants of Laplacians with Neumann and Dirichlet boundary conditions
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005 -
On the gluing problem for Dirac operators on manifolds with cylindrical ends
JOURNAL OF GEOMETRIC ANALYSIS, 2005
Selected Publications
-
Reidemeister torsion, complex volume, and Zograf infinite product for hyperbolic 3-manifolds
Geom. Topol. 23 (2019), 3687-3734. -
Liouville action and holography on quasi-Fuchsian deformation spaces
Comm. Math. Phys. 362 (2018), 717-758. -
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
Adv. Math. 305 (2017), 856-894. -
Tau function and Chern-Simons invariant
Adv. Math. 262 (2014), 1-58. -
Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
Adv. Math. 225 (2010), 2464-2516. -
The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps
Math. Ann. 346 (2010), 719-767. -
Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
J. Funct. Anal. 257 (2009), 1713-1758. -
On the gluing problem for the spectral invariants of Dirac operators
Adv. Math. 202 (2006), no. 2, 401-450. -
Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps
Amer. J. Math. 127 (2005), 493-534. -
Half-density volumes of representation spaces of some 3-manifolds and their application
Duke Math. J. 86 (1997), no. 3, 493-515.
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- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.