Henry Kim's main research interest is in the theory of automorphic forms and L-functions and their applications to number theory. By combining the Langlands-Shahidi method and the converse theorem of Cogdell and Piatetski-Shapiro, he and his collaborators obtained many instances of Langlands functoriality, such as the functoriality of the symmetric cube and the symmetric fourth, which opened the door to many applications in automorphic representations and analytic number theory. One application by him and Sarnak is the current best bound 7/64 towards the Ramanujan conjecture.
- 1992 Ph.D. (advisor: W.L. Baily), The University of Chicago, Chicago, IL
- 1992-1994 Research Assistant Professor, Purdue University, IN
- 1994-1995 Postdoctoral Fellow, Mathematical Sciences Research Institute, CA
- 1995-2000 Assistant Professor, Southern Illinois University
- 1999-2000 Member, Institute for Advanced Study
- 2000-2001 Associate Professor, Southern Illinois University
- 2001-2003 Associate Professor, University of Toronto
- 2006-present KIAS scholar, Korea Institute for Advanced Study
- 2003-present Professor, University of Toronto
- Clay Mathematics Institute Prize Fellow, 2000
- American Mathematical Society Centennial Fellowship, 2003-2004
Publications at KIAS
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p-ADIC LIMIT OF THE EISENSTEIN SERIES ON THE EXCEPTIONAL GROUP OF TYPE E 7,3
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024 -
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms
ACTA ARITHMETICA, 2024 -
Fourier coefficients of automorphic L-functions
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023 -
Higher level cusp forms on exceptional group of type E7
KYOTO JOURNAL OF MATHEMATICS, 2023 -
Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,3
JOURNAL OF NUMBER THEORY, 2023 -
Period of the Ikeda type lift for the exceptional group of type E-7,E-3
MATHEMATISCHE ZEITSCHRIFT, 2022 -
The Shintani double zeta functions
FORUM MATHEMATICUM, 2022 -
The least non-split prime in a number field
ARCHIV DER MATHEMATIK, 2021 -
Minimal generators of the ideal class group
JOURNAL OF NUMBER THEORY, 2021 -
THE SMALLEST PRIME IN A CONJUGACY CLASS AND THE FIRST SIGN CHANGE FOR AUTOMORPHIC L-FUNCTIONS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021 -
Equidistribution theorems for holomorphic Siegel modular forms for GSp(4); Hecke fields and n-level density
MATHEMATISCHE ZEITSCHRIFT, 2020 -
AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR GSP(4) AND ITS APPLICATIONS
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2020 -
The Average of the Smallest Prime in a Conjugacy Class
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020 -
Genus numbers of cyclic and dihedral extensions of prime degree
ACTA ARITHMETICA, 2020 -
Monogenic dihedral quartic extensions
RAMANUJAN JOURNAL, 2019 -
Non-vanishing of Miyawaki type lifts
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2019 -
Number fields with large minimal index containing quadratic subfields
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018 -
Pure cubic fields with large minimal index
ACTA ARITHMETICA, 2018 -
Moments of logarithmic derivatives of &ITL&IT-functions
JOURNAL OF NUMBER THEORY, 2018 -
A Miyawaki type lift for GSpin(2,10)
MATHEMATISCHE ZEITSCHRIFT, 2018 -
Universality of Artin L-functions in conductor aspect
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017 -
Extreme residues of Dedekind zeta functions
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017 -
A uniform structure on subgroups of GL(n)(F-q) and its application to a conditional construction of Artin representations of GL(n)
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2017 -
Central limit theorem for Artin L-functions
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017 -
Cusp forms on the exceptional group of type E-7
COMPOSITIO MATHEMATICA, 2016 -
WEAKLY HOLOMORPHIC MODULAR FORMS AND RANK TWO HYPERBOLIC KAC-MOODY ALGEBRAS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015 -
Low lying zeros of Artin -functions
MATHEMATISCHE ZEITSCHRIFT, 2015 -
n-Level Densities of Artin L-Functions
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015 -
EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS
QUARTERLY JOURNAL OF MATHEMATICS, 2014 -
Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms
JOURNAL OF ALGEBRA, 2014 -
Probabilistic properties of number fields
JOURNAL OF NUMBER THEORY, 2013 -
Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms
RAMANUJAN JOURNAL, 2013 -
Automorphic correction of the hyperbolic Kac-Moody algebra E10
JOURNAL OF MATHEMATICAL PHYSICS, 2013 -
Residual spectrum of split reductive groups supported in a Borel subgroup under isogenies
MANUSCRIPTA MATHEMATICA, 2013 -
Logarithmic derivatives of Artin L-functions
COMPOSITIO MATHEMATICA, 2013 -
Second moments of twisted Koecher-Maass series
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2012 -
A FAMILY OF GENERALIZED KAC-MOODY ALGEBRAS AND DEFORMATION OF MODULAR FORMS
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012 -
QUANTUM AFFINE ALGEBRAS, CANONICAL BASES, AND q-DEFORMATION OF ARITHMETICAL FUNCTIONS
PACIFIC JOURNAL OF MATHEMATICS, 2012 -
Second moments of holomorphic Hilbert modular forms and subconvexity
ACTA ARITHMETICA, 2011 -
Divisor function for quaternion algebras and application to fourth moments of L-functions
JOURNAL OF NUMBER THEORY, 2009 -
Langlands-Shahidi method and poles of automorphic L-functions III: Exceptional groups
JOURNAL OF NUMBER THEORY, 2008 -
Functoriality and number of solutions of congruences
ACTA ARITHMETICA, 2007 -
Volume of truncated fundamental domains
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007
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- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.