School of Mathematics
Park, Jinsung
Professor
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
-
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
Publications(Career)
-
Liouville Action and Holography on Quasi-Fuchsian Deformation Spaces
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 362(2), 717-758, 2018 -
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
ADVANCES IN MATHEMATICS v.305, 856-894p. 2017 -
Tau function and Chern-Simons invariant
ADVANCES IN MATHEMATICS, v.262 (2014) 1-58 -
Bergman and Caldern Projectors for Dirac Operators
JOURNAL OF GEOMETRIC ANALYSIS, v.24, no.1 (2014) 298-336 -
Regularity of the eta function on manifolds with cusps
MATHEMATISCHE ZEITSCHRIFT, v.269, no.3-4 (2011) 955-975 -
Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
Advances in Mathematics, vol. 225 (2010) p. 2464-2516 -
The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps
Mathematische Annalen, vol. 346 (2010) p. 719-767 -
Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
Journal of Functional Analysis, vol. 257 (2009) p. 1713-1758 -
Adiabatic limit of the Eta invariant over cofinite quotients of PSL(2, R)
Compositio Mathematica, vol. 144 (2008) p. 1593-1616 -
The ubiquitous zeta-function and some of its usual and unusual meromorphic properties
Journal of Physics A, vol. 41 (2008) p. 164070 (1-11) -
Exotic expansions and pathological properties of -functions on conic manifolds
Journal of Geometric Analysis, vol. 18 (2008) p. 835-888 -
Ruelle zeta functions for odd dimensional hyperbolic manifolds with cusps
Proc. Japan Acad. Ser. A Math. Sci. vol. 84 (2008), p. 1-4 -
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
Manuscripta Mathematica, vol. 125 (2008), p. 95-126 -
Analytic torsion for hyperbolic manifolds with cusps
Proc. Japan Acad. Ser. A Math. Sci. vol. 83 (2007) p. 141-143 -
Zeta Regularized Determinants for Conic Manifolds
Journal of Functional Analysis, vol. 242 (2007) p. 195-229 -
Zeta functions of Dirac and Laplace-type operators over finite cylinders
Annals of Physics, vol. 321 (2006) p. 1814-1842 -
Gluing formulae of spectral invariants and Cauchy data spaces - Spectral and geometric analysis on manifolds
World Scientific, (2006) p. 23-38 -
The very unusual properties of the resolvent, heat kernel, and zeta function for the operator -d2/dr2 - 1/4r2
Journal of Mathematical Physics, vol. 47 (2006) p. 043506 (1-27) -
Boundary problems for Dirac type operators on manifolds with multi-cylindrical end boundaries
Annals of Global Analysis and Geometry, vol. 29 (2006) p. 103-144 -
Relative formulae for the spectral invariants of the b-calculus and generalized APS boundary problems of Dirac operators
Paci¯c Journal of Mathematics, vol. 223 (2006) p. 317-331 -
On the gluing problem for the spectral invariants of Dirac operators
Advances in Mathematics, vol. 202 (2006) p. 401-450 -
Adiabatic decomposition of the zeta-determinant and Scattering theory
Michigan Mathematical Journal, vol. 54 (2006) p. 207-238 -
Zeta-determinants of Laplacians with Neumann and Dirichlet boundary conditions
Journal of Physics A, vol. 38 (2005) p. 8967-8977 -
Functional determinants for the Dirac equation with mixed pseudodifferential boundary conditions over finite cylinders
Journal of Mathematical Physics, vol. 46-4 (2005) p. 042309 (1-13) -
On the gluing problem for Dirac operators on manifolds with cylindrical ends
Journal of Geometric Analysis, vol. 15 (2005) p.285-319 -
On gluing formulae for the spectral invariants of Dirac type operators
Electronic Research Announcements of A. M. S., vol. 11 (2005) p. 1-11 -
Agranovich-Dynin formula for the zeta determinants of the Neumann and Dirichlet problems
Contemporary Mathematics, vol. 366 (2005) p.109-121 -
Adiabatic decomposition of the zeta-determinant and the Dirichlet to Neumann operator
Journal of Geometry and Physics, vol. 55 (2005) p. 241-266 -
Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps
American Journal of Mathematics, vol. 127 (2005) p. 493-534 -
The zeta-determinant of generalized APS boundary problems over the cylinder
Journal of Physics A, vol. 37 (2004) p. 7381-7392 -
Decomposition of the zeta-determinant for the Laplacian on manifolds with cylindrical end
Illinois Journal of Mathematics, vol. 48 (2004) p. 1279-1303 -
Determinant bundles, boundaries, and surgery
Journal of Geometry and Physics, vol. 52 (2004) p. 28-43 -
Scattering theory and Adiabatic decomposition of the -determinant of the Dirac Laplacian
Mathematical Research Letters, vol. 9 (2002) p. 17-25 -
Analytic Surgery of the ³-determinant of the Dirac operator
Nuclear Physics B Proc. Supp. vol. 104 (2002) p. 89-115 -
Adiabatic decomposition of the -determinant of the Dirac Laplacian I. The case of invertible tangential operator
Comm. Partial Differential Equations, vol. 27 (2002) p. 1407-1435 -
On the Isospectra and the Isometries of the Aloff-Wallach Spaces
Bulletin of K. M. S. vol. 38 (2001) p. 413-425 -
Relative -determinant and Adiabatic decomposition of the -determinant of the Dirac Laplacian
Letters in Math. Phys., vol. 52 (2000) p. 329-337 -
Jeffrey-Weitsman-Witten invariant of Seifert ¯bered manifolds
Proceedings of the Third Paci¯c Rim Geometry Conference, International Press (1998) p.319-323 -
Half density volumes of representation spaces of some 3-manifolds and their application
Duke Mathematical Journal, vol. 86 (1997) p. 493-515
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