Wilfried Schmid

Wilfried Schmid is a German-American mathematician and a professor at Harvard University. He is known for his work in representation theory, automorphic forms, and Hodge theory. Over the course of his career, Schmid has made significant contributions to our understanding of how these areas intersect, particularly in analyzing the geometric and analytic properties of various mathematical structures. In addition to his research, he has served on editorial boards for leading mathematical journals and has mentored many graduate students, helping shape the next generation of mathematicians.

All published works

Action	Title	Year	Authors
+ PDF Chat	Bernhard Riemann’s paper on Fourier series	2024	Wilfried Schmid
+ PDF Chat	Lie Theory, from Lie to Borel and Weil	2020	Wilfried Schmid
+ PDF Chat	Geometric Constructions of Representations	2018	Wilfried Schmid
+	REPRESENTATIONS OF SEMISIMPLE LIE GROUPS	2016	Wilfried Schmid
+	Hodge theory and unitary representations, in the example of $\mathrm{SL}(2,\mathbb{R})$	2015	Wilfried Schmid Kari Vilonen
+	Hodge theory and unitary representations	2015	Wilfried Schmid Kari Vilonen
+	Hodge theory and unitary representations, in the example of $\mathrm{SL}(2,\mathbb{R})$	2015	Wilfried Schmid Kari Vilonen
+	On the rapid decay of cuspidal automorphic forms	2012	Stephen D. Miller Wilfried Schmid
+	Hodge theory and unitary representations of reductive Lie groups	2012	Wilfried Schmid Kari Vilonen
+ PDF Chat	The archimedean theory of the exterior square $L$-functions over $\mathbb{Q}$	2011	Stephen D. Miller Wilfried Schmid
+	The archimedean theory of the Exterior Square L-functions over Q	2011	Stephen D. Miller Wilfried Schmid
+ PDF Chat	Pairings of automorphic distributions	2011	Stephen D. Miller Wilfried Schmid
+	Pairings of automorphic distributions	2011	Stephen D. Miller Wilfried Schmid
+	On the rapid decay of cuspidal automorphic forms	2011	Stephen D. Miller Wilfried Schmid
+ PDF Chat	Adelization of automorphic distributions and mirabolic Eisenstein series	2011	Stephen D. Miller Wilfried Schmid
+	The archimedean theory of the Exterior Square L-functions over Q	2011	Stephen D. Miller Wilfried Schmid
+	On the rapid decay of cuspidal automorphic forms	2011	Stephen D. Miller Wilfried Schmid
+	Adelization of Automorphic Distributions and Mirabolic Eisenstein Series	2011	Stephen D. Miller Wilfried Schmid
+	Pairings of automorphic distributions	2011	Stephen D. Miller Wilfried Schmid
+	Jacquet Modules for Real Reductive Groups	2010	W. Casselman Dragan Miličić Henryk Hecht Wilfried Schmid
+	A general Voronoi summation formula for GL(n,Z)	2009	Stephen D. Miller Wilfried Schmid
+	Singular unitary representations and indefinite harmonic theory	2008	Wilfried Schmid
+	Representation Theory of Real Reductive Lie Groups	2008	James Arthur Wilfried Schmid Peter E. Trapa
+	The Major Topics of School Algebra	2008	Wilfried Schmid Hsin‐Kai Wu
+	Representation theory of real reductive Lie groups : AMS-IMS-SIAM Joint Summer Research Conference, June 4-8, 2006, Snowbird, Utah	2008	James Arthur Wilfried Schmid Peter E. Trapa
+ PDF Chat	The Rankin–Selberg Method for Automorphic Distributions	2007	Stephen D. Miller Wilfried Schmid
+	Representation Theory and Automorphic Forms	2007	Toshiyuki Kobayashi Wilfried Schmid Jae-Hyun Yang
+ PDF Chat	Automorphic distributions, L-functions, and Voronoi summation for GL(3)	2006	Stephen D. Miller Wilfried Schmid
+	The Rankin-Selberg method for automorphic distributions	2006	Stephen D. Miller Wilfried Schmid
+	Distributions and analytic continuation of Dirichlet series	2004	Stephen D. Miller Wilfried Schmid
+ PDF Chat	The Highly Oscillatory Behavior of Automorphic Distributions for SL(2)	2004	Stephen D. Miller Wilfried Schmid
+	Summation formulas, from Poisson and Voronoi to the present	2004	Stephen D. Miller Wilfried Schmid
+	Geometric Methods in Representation Theory	2004	Wilfried Schmid
+	Automorphic Distributions, L-functions, and Voronoi Summation for GL(3)	2004	Stephen D. Miller Wilfried Schmid
+	On the geometry of nilpotent orbits	2004	Wilfried Schmid Kari Vilonen
+	Distributions and Analytic Continuation of Dirichlet Series	2004	Stephen D. Miller Wilfried Schmid
+	Summation Formulas, from Poisson and Voronoi to the Present	2003	Stephen D. Miller Wilfried Schmid
+ PDF Chat	On the geometry of nilpotent orbits	2002	Wilfried Schmid Kari Vilonen
+	Mathematics Unlimited — 2001 and Beyond	2001	Björn Engquist Wilfried Schmid
+ PDF Chat	Characteristic Cycles and Wave Front Cycles of Representations of Reductive Lie Groups	2000	Wilfried Schmid Kari Vilonen
+	Characteristic cycles and wave front cycles of representations of reductive Lie groups	2000	Wilfried Schmid Kari Vilonen
+	Characteristic cycles and wave front cycles of representations of reductive Lie groups	2000	Wilfried Schmid Kari Vilonen
+ PDF Chat	On the geometry of nilpotent orbits	1999	Wilfried Schmid Kari Vilonen
+ PDF Chat	Two geometric character formulas for reductive Lie groups	1998	Wilfried Schmid Kari Vilonen
+	Two geometric character formulas for reductive Lie groups	1998	Wilfried Schmid Kari Vilonen
+	Characteristic cycles of constructible sheaves	1996	Wilfried Schmid Kari Vilonen
+	Characters, characteristic cycles, and nilpotent orbits	1995	Kari Vilonen Wilfried Schmid
+	Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups	1994	Masaki Kashiwara Wilfried Schmid
+	Weyl Group Actions on Lagrangian Cycles and Rossmann’s Formula	1994	Wilfried Schmid Kari Vilonen
+	Weyl group actions on Lagrangian cycles and Rossmann's formula: Noncompact Lie groups and some of their applications	1994	Kari Vilonen Wilfried Schmid
+	Analytic and Geometric Realization of Representations	1992	Wilfried Schmid
+	Construction and Classification of Irreducible Harish—Chandra Modules	1991	Wilfried Schmid
+	Geometric quantization and derived functor modules for semisimple Lie groups	1990	Wilfried Schmid Joseph A. Wolf
+	Homogeneous complex manifolds and representations of semisimple Lie groups	1989	Wilfried Schmid
+	Representations of reductive lie groups	1988	David A. Vogan Wilfried Schmid
+ PDF Chat	Geometric Constructions of Representations	1988	Wilfried Schmid
+	L 2 and intersection cohomologies for a polarizable variation of Hodge structure	1987	Eduardo Cattani Aroldo Kaplan Wilfried Schmid
+	Localization and standard modules for real semisimple Lie groups I: The duality theorem	1987	Henryk Hecht Dragan Miličić Wilfried Schmid Joseph A. Wolf
+	Variations of polarized hodge structure: Asymptotics and monodromy	1987	Eduardo Cattani Aroldo Kaplan Wilfried Schmid
+	Some remarks on L2 and intersection cohomologies	1987	Eduardo Cattani Aroldo Kaplan Wilfried Schmid
+	Degeneration of Hodge Structures	1986	Eduardo Cattani Aroldo Kaplan Wilfried Schmid
+	Recent developments in representation theory	1985	Wilfried Schmid
+ PDF Chat	A Vanishing Theorem for Open Orbits on Complex Flag Manifolds	1984	Wilfried Schmid Joseph A. Wolf
+ PDF Chat	The Equivariant Dolbeault Lemma	1984	Wilfried Schmid Joseph A. Wolf
+ PDF Chat	A vanishing theorem for open orbits on complex flag manifolds	1984	Wilfried Schmid Joseph A. Wolf
+ PDF Chat	The equivariant Dolbeault lemma	1984	Wilfried Schmid Joseph A. Wolf
+	On the asymptotics of Harish-Chandra modules.	1983	Wilfried Schmid Henryk Hecht
+	Singular unitary representations and indefinite harmonic theory	1983	John Rawnsley Wilfried Schmid Joseph A. Wolf
+ PDF Chat	Characters, asymptotics and ν-homology of Harish-Chandra modules	1983	Henryk Hecht Wilfried Schmid
+	Poincaré and Lie groups	1983	Wilfried Schmid
+ PDF Chat	Poincaré and Lie groups	1982	Wilfried Schmid
+	Vanishing theorems for lie algebra cohomology and the cohomology of discrete subgroups of semisimple lie groups	1981	Wilfried Schmid
+	Representations of semi-simple Lie groups	1980	Wilfried Schmid
+	Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups	1980	Michael Atiyah Wilfried Schmid
+ PDF Chat	A geometric construction of the discrete series for semisimple Lie groups	1979	Michael Atiyah Wilfried Schmid
+	A geometric construction of the discrete series for semisimple Lie groups	1977	Michael Atiyah Wilfried Schmid
+	A Geometric Construction of the Discrete Series for Semisimple Lie Groups	1977	Michael Atiyah Wilfried Schmid
+	On integrable representations of a semisimple lie group	1976	Henryk Hecht Wilfried Schmid
+	A proof of Blattner's conjecture	1976	Henryk Hecht Wilfried Schmid
+	L 2 -Cohomology and the Discrete Series	1976	Wilfried Schmid
+	Some Properties of Square-Integrable Representations of Semisimple Lie Groups	1975	Wilfried Schmid
+	On the characters of the discrete series	1975	Wilfried Schmid
+	Some remarks about the discrete series characters of Sp(n,R)	1975	Wilfried Schmid
+	Abbildungen in arithmetische Quotienten hermitesch symmetrischer Räume	1974	Wilfried Schmid
+	Variation of hodge structure: The singularities of the period mapping	1973	Wilfried Schmid
+	On a Conjecture of Langlands	1971	Wilfried Schmid
+	Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen R�umen	1969	Wilfried Schmid
+ PDF Chat	Locally homogeneous complex manifolds	1969	Phillip Griffiths Wilfried Schmid
+ PDF Chat	HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS	1968	Wilfried Schmid

Common Coauthors

Coauthor	Papers Together
Stephen D. Miller	21
Kari Vilonen	16
Joseph A. Wolf	7
Henryk Hecht	6
Eduardo Cattani	4
Aroldo Kaplan	4
Michael Atiyah	4
James Arthur	2
Dragan Miličić	2
Peter E. Trapa	2
Björn Engquist	1
Masaki Kashiwara	1
Toshiyuki Kobayashi	1
John Rawnsley	1
David A. Vogan	1
Hsin‐Kai Wu	1
W. Casselman	1
Jae-Hyun Yang	1
Phillip Griffiths	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic expansions of generalized matrix entries of representations of real reductive groups	1983	Nolan R. Wallach	15
+ PDF Chat	HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS	1968	Wilfried Schmid	14
+ PDF Chat	Discrete series for semisimple Lie groups I: Construction of invariant eigendistributions	1965	Harish-chandra Harish-Chandra	13
+ PDF Chat	Canonical Extensions of Harish-Chandra Modules to Representations of <i>G</i>	1989	W. Casselman	13
+ PDF Chat	Discrete series for semisimple Lie groups. II: Explicit determination of the characters	1966	Harish-chandra Harish-Chandra	13
+	L 2 -Cohomology and the Discrete Series	1976	Wilfried Schmid	12
+	The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces	1974	Joseph A. Wolf	10
+	Some Properties of Square-Integrable Representations of Semisimple Lie Groups	1975	Wilfried Schmid	9
+ PDF Chat	The characters of semisimple Lie groups	1956	Harish-chandra Harish-Chandra	9
+	On a Conjecture of Langlands	1971	Wilfried Schmid	9
+	Localization and standard modules for real semisimple Lie groups I: The duality theorem	1987	Henryk Hecht Dragan Miličić Wilfried Schmid Joseph A. Wolf	9
+	A Generalization of Casselman’s Submodule Theorem	1983	Alexander Beilinson Joseph Bernstein	8
+ PDF Chat	The Dimension of Spaces of Automorphic Forms	1963	R. P. Langlands	8
+ PDF Chat	Invariant eigendistributions on a semisimple Lie group	1965	Harish-chandra Harish-Chandra	8
+	Jacquet Modules for Real Reductive Groups	2010	W. Casselman Dragan Miličić Henryk Hecht Wilfried Schmid	8
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	8
+	Representations of Real Reductive Lie Groups	1981	David A. Vogan	8
+	Distributions and analytic continuation of Dirichlet series	2004	Stephen D. Miller Wilfried Schmid	8
+ PDF Chat	Representations of a semisimple Lie group on a Banach space. I	1953	Harish-chandra Harish-Chandra	8
+ PDF Chat	Representations of Semisimple Lie Groups, V	1956	Harish-chandra Harish-Chandra	8
+ PDF Chat	Dimension of spaces of automorphic forms	1966	R. P. Langlands	7
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	7
+	Homogeneous Vector Bundles	1957	Raoul Bott	7
+	On the classification of irreducible representations of real algebraic groups	1989	R. P. Langlands	7
+	Dirac Operator and the Discrete Series	1972	R. Parthasarathy	6
+	Gelfand-Kirillov dimension for Harish-Chandra modules	1978	David A. Vogan	6
+	An Analogue of the Borel-Weil-Bott Theorem for Hermitian Symmetric Pairs of Non-Compact Type	1970	M. S. Narasimhan K. Okamoto	6
+ PDF Chat	The orbits of affine symmetric spaces under the action of minimal parabolic subgroups	1979	Toshihiko Matsuki	6
+	Geometric quantization and derived functor modules for semisimple Lie groups	1990	Wilfried Schmid Joseph A. Wolf	6
+	Lie Algebra Cohomology and the Generalized Borel-Weil Theorem	2009	Bertram Kostant	6
+ PDF Chat	Locally homogeneous complex manifolds	1969	Phillip Griffiths Wilfried Schmid	6
+ PDF Chat	On some applications of the universal enveloping algebra of a semisimple Lie algebra	1951	Harish-chandra Harish-Chandra	6
+	Asymptotic behaviour of matrix coefficients of the discrete series	1977	Dragan Miličić	6
+	Lie Algebra Cohomology and the Generalized Borel-Weil Theorem	1961	Bertram Kostant	5
+ PDF Chat	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	5
+ PDF Chat	Equivariant Sheaves and Functors	1994	Joseph Bernstein Valery A. Lunts	5
+	A property of the characters of irreducible representations of real semisimple Lie groups	1975	A. I. Fomin N. N. Shapovalov	5
+	Compact Clifford-Klein forms of symmetric spaces	1963	Armand Borel	5
+	Matsuki correspondence for sheaves	1992	I. Mirkovi Tohru Uzawa Kari Vilonen	5
+	The Algebraic Structure of the Representations of Semisimple Lie Groups I	1979	David A. Vogan	5
+	Variation of hodge structure: The singularities of the period mapping	1973	Wilfried Schmid	5
+	The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group	2009	Bertram Kostant	5
+ PDF Chat	Representations of semisimple Lie groups. II	1954	Harish-chandra Harish-Chandra	5
+	Summation formulas, from Poisson and Voronoi to the present	2004	Stephen D. Miller Wilfried Schmid	5
+	A proof of Blattner's conjecture	1976	Henryk Hecht Wilfried Schmid	5
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	5
+ PDF Chat	The Riemann-Hilbert Problem for Holonomic Systems	1984	Masaki Kashiwara	5
+	Topological vector spaces, distributions and kernels	2006	François Trèves	4
+ PDF Chat	Adelization of automorphic distributions and mirabolic Eisenstein series	2011	Stephen D. Miller Wilfried Schmid	4
+ PDF Chat	Zeta Functions of Simple Algebras	1972	Roger Godement Hervé Jacquet	4