Irwin Kra | Academic Influence

Irwin Kra's AcademicInfluence.com Rankings

Irwin Kra

Mathematics

#655

World Rank

#1205

Historical Rank

#286

USA Rank

Measure Theory

#1236

World Rank

#1567

Historical Rank

#449

USA Rank

mathematics Degrees

Download Badge

Mathematics

Irwin Kra's Degrees

PhD Mathematics Princeton University

Why Is Irwin Kra Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Irwin Kra is an American mathematician, who works on the function theory in complex analysis. Life and work Kra studied at Polytechnic Institute of Brooklyn and at Columbia University, where he graduated in 1964 and received his doctorate in 1966 under supervision of Lipman Bers . After that, he was from 1966 to 1968 a C.L.E. Moore instructor at Massachusetts Institute of Technology and then at the State University of New York at Stony Brook, where he chaired from 1975 to 1981 the Faculty of Mathematics. From 1991 to 1996, there, he was Dean of the Division of Physical Sciences and Mathematics. Since 2004 he has been Professor Emeritus. He was a visiting professor at the Hebrew University in Jerusalem , the University of Perugia in Santiago de Chile, the Tohoku University, the Fudan University in Shanghai . From 2004 to 2008 he was Director of Math for America, a private organization that is dedicated to the improvement of college education in mathematics in the United States. He currently lives in New York City. In 2010 he taught at the Northwestern University.

(See a Problem?)

Irwin Kra's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On Circulant Matrices (2012) (1005)
Automorphic Forms And Kleinian Groups (1972) (242)
Theta Constants, Riemann Surfaces and the Modular Group (2001) (161)
Holomorphic motions and Teichmüller spaces (1994) (160)
On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces (1981) (149)
Riemann surfaces and related topics : proceedings of the 1978 Stony Brook conference (1981) (141)
Quasiconformal mappings and Riemann surfaces (1979) (91)
Automorphisms of Rational Maps (2003) (81)
On Holomorphic Mappings between Teichmüller Spaces (1974) (80)
In the Tradition of Ahlfors and Bers (2000) (64)
On sections of some holomorphic families of closed Riemann surfaces (1976) (64)
Horocyclic coordinates for Riemann surfaces and moduli spaces. I. Teichmüller and Riemann spaces of Kleinian groups (1990) (60)
Holomorphic Functions and Moduli II (1988) (57)
Deformations of Fuchsian groups (1969) (54)
On the quintuple product identity (1999) (52)
On isometries between Teichmüller spaces (1974) (51)
The Carathéodory metric on abelian Teichmüller disks (1981) (45)
On spaces of Kleinian groups (1972) (42)
On affine and projective structures on Riemann surfaces (1969) (41)
Hilbert's Fourth Problem (1979) (40)
THE DEFORMATION SPACE OF A KLEINIAN GROUP (1981) (38)
Canonical mappings between Teichmüller spaces (1981) (35)
On Cohomology of Kleinian Groups: II (1969) (34)
On Lifting Kleinian Groups to SL (2, ℂ) (1985) (33)
On the vanishing of and spanning sets for Poincaré series for cusp forms (1984) (27)
Accessory parameters for punctured spheres (1989) (24)
On Teichmüller’s theorem on the quasi-invariance of cross ratios (1978) (22)
Remarks on Projective Structures (1981) (22)
A generalization of a theorem of Poincaré (1971) (22)
A Crash Course on Kleinian Groups (1974) (20)
Partitions and theta constant identities (2000) (18)
Cohomology of kleinian groups. (1969) (18)
Bases for quadratic differentials (1982) (16)
Automorphic forms for subgroups of the modular group (1993) (15)
Complex Analysis: In the Spirit of Lipman Bers (2007) (14)
Involutions on Kleinian groups (1972) (14)
Cusp forms associated to loxodromic elements of Kleinian groups (1985) (12)
Non-variational global coordinates for Teichmüller spaces (1988) (12)
On cohomology of Kleinian groups. IV. The Ahlfors-Sullivan construction of holomorphic Eichler integrals (1983) (11)
Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups (1971) (11)
ON THE RING OF HOLOMORPHIC FUNCTIONS ON AN OPEN RIEMANN SURFACE( (1968) (10)
Uniformizations of modular curves (1996) (10)
On Teichmuller Spaces for Finitely Generated Fuchsian Groups (1969) (9)
On the vanishing of Poincaré series of rational functions (1983) (8)
Families of univalent functions and Kleinian groups (1987) (7)
Review: Frederick P. Gardiner, Teichmüller theory and quadratic differentials (1988) (7)
On cohomology of Kleinian groups (1971) (6)
On algebraic curves (of low genus) defined by Kleinian groups (1985) (6)
On new kinds of Teichmüller spaces (1973) (6)
Corrigendum to “Uniformization of modular curves” (1996) (5)
Automorphic forms for subgroups of the modular group II: Groups containing congruence subgroups (1996) (4)
PINCHED 2-COMPONENT KLEINIAN GROUPS (1998) (4)
Half-canonical divisors on variable Riemann surfaces (1986) (4)
The Mathematics of Lars Valerian Ahlfors (1998) (3)
Branched two-sheeted covers (1991) (3)
Bases for cusp forms for quasi-Fuchsian groups (1985) (3)
Selected Works of Lipman Bers: Papers on Complex Analysis (1998) (3)
Remembering Lipman Bers (1995) (3)
POSITIVE DIVISORS AND POINCARÉ SERIES ON VARIABLE RIEMANN SURFACES (1987) (3)
About Books (1982) (2)
A supplement to Ahlfors’s lectures (2006) (2)
Riemann Surfacese and Related Topics (AM-97): Proceedings of the 1978 Stony Brook Conference. (AM-97) (1981) (2)
Compact Riemann Surfaces (1992) (2)
Book Review: Quasiconformal Teichmüller theory (2000) (2)
Lipman Bers: A Life in Mathematics (2015) (2)
A crash course on Kleinian groups : lectures given at a special session at the January 1974 meeting of the American Mathematical Society at San Francisco (1974) (2)
On the Carathéodory metric on the universal Teichmüller space (1979) (2)
Cusp forms associated to rank 2 parabolic subgroups of Kleinian groups (1991) (2)
Uniformization, automorphic forms and accessory parameters(Function Spaces on Riemann Surfaces) (1985) (2)
Theta constant identities (2001) (1)
Varieties of Kleinian Groups (1973) (1)
Kleinian Groups; Eichler Cohomology and the Complex Theory (1998) (1)
Maximal ideals in the algebra of bounded holomorphic functions. (1967) (0)
Periods of cusp forms associated to loxodromic elements of $b$-groups (1990) (0)
In Search of Talented Teachers (2005) (0)
Zeros of Holomorphic Functions (2007) (0)
The Cauchy Theory–Key Consequences (2013) (0)
Identities related to partition functions (2001) (0)
The Bers embedding and (some of) its ramifications (2015) (0)
DOCEAMUS doceamus... let us teach (Math) Teachers Are (2012) (0)
Cliff ord J. Earle: A Life in Mathematics and Music (1935–2017) (2018) (0)
Reprint of Lipman Bers, a mathematical mentor (2015) (0)
Theta functions with characteristics (2001) (0)
Automorphisms of Rational Maps The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2003) (0)
Combinatorial and number theoretic applications (2001) (0)
Dennis Sullivan and Jeremy Kahn reminiscences (2015) (0)
Doceamus: (Math) teachers are the key (2012) (0)
Partition theory: Ramanujan congruences (2001) (0)
The Fundamental Theorem in Complex Function Theory (2013) (0)
Book Review: Riemann surfaces (2012) (0)
Reprint of Remembering Lipman Bers (2015) (0)
In Ramanujan’s Shadow (2004) (0)
Automorphisms of Compact Surfaces — Elementary Theory (1992) (0)
The modular group and elliptic function theory (2001) (0)
The Cauchy Theory: A Fundamental Theorem (2013) (0)
The Carath\'eodory Metric on Finite Dimensional Teichm\"uller Spaces: A property of the Maskit coordinates (2015) (0)
Reprint of Lipman Bers May 22, 1914–October 29, 1993 (2015) (0)
Function theory for the modular group Γ and its subgroups (2001) (0)
In the tradition of Ahlfors and Bers : proceedings of the First Ahlfors-Bers Colloquium, Ahlfors-Bers Colloquium, November 6-8, 1998, State University of New York at Stony Brook (2000) (0)
Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions (2013) (0)
Conformal Equivalence and Hyperbolic Geometry (2013) (0)
Sequences and Series of Holomorphic Functions (2013) (0)

This paper list is powered by the following services:

Other Resources About Irwin Kra

en.wikipedia.org

What Schools Are Affiliated With Irwin Kra?

Irwin Kra is affiliated with the following schools:

Image Attributions

Image Source for Irwin Kra