Stephen S. Kudla | Academic Influence

Stephen S. Kudla's AcademicInfluence.com Rankings

Stephen S. Kudla

Mathematics

#4882

World Rank

#6898

Historical Rank

#1642

USA Rank

Algebraic Geometry

#182

World Rank

#190

Historical Rank

#44

USA Rank

Measure Theory

#2938

World Rank

#3488

Historical Rank

#850

USA Rank

mathematics Degrees

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Mathematics

Stephen S. Kudla's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Stephen S. Kudla Influential?

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According to Wikipedia, Stephen S. Kudla is an American mathematician working in arithmetic geometry and automorphic forms. He is a professor in the Department of Mathematics at the University of Toronto. Life After receiving his doctorate, Kudla spent a year at the Institute for Advanced Study in Princeton, following which he joined the faculty at the University of Maryland, College Park. Since 2006, he has been a Canada Research Chair Professor at the University of Toronto.

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Stephen S. Kudla'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

A Regularized Siegel-Weil Formula: The First Term Identity (1994) (246)
On the local theta-correspondence (1986) (238)
The central critical value of the triple product $L$-function (1991) (194)
Central Derivatives of Eisenstein Series and Height Pairings (1997) (188)
Theta dichotomy for unitary groups (1996) (185)
Intersection numbers of cycles on locally symmetric spaces and fourier coefficients of holomorphic modular forms in several complex variables (1990) (181)
Splitting metaplectic covers of dual reductive pairs (1994) (179)
Modular Forms and Special Cycles on Shimura Curves. (2006) (135)
An introduction to the Langlands program (2004) (133)
NOTES ON THE LOCAL THETA CORRESPONDENCE (1996) (131)
On the Weil-Siegel formula. (1988) (125)
Algebraic cycles on Shimura varieties of orthogonal type (1997) (122)
The theta correspondence and harmonic forms. I (1986) (121)
Heights and the central critical values of triple product $L$-functions (1992) (117)
Integrals of Borcherds Forms (2001) (114)
Special cycles and derivatives of Eisenstein series (2003) (103)
On the Derivative of an Eisenstein Series of Weight One (1999) (98)
The local Langlands correspon-dence: The non-Archimedean case (1994) (92)
Arithmetic automorphic forms for the nonholomorphic discrete series of $GSp(2)$ (1992) (88)
Derivatives of Eisenstein series and Faltings heights (2001) (87)
Degenerate principal series and invariant distributions (1990) (85)
Special cycles on unitary Shimura varieties I. Unramified local theory (2008) (82)
Arithmetic Hirzebruch Zagier cycles (1999) (79)
Ramified degenerate principal series representations forSp(n) (1992) (78)
On First Occurrence in the Local Theta Correspondence (2004) (77)
On First Occurrence in the Local Theta Correspondence (2004) (77)
Special cycles on unitary Shimura varieties II: global theory (2009) (76)
On the degree 5L-function for Sp(2) (1992) (71)
Cycles on Siegel threefolds and derivatives of Eisenstein series (2000) (65)
On the Weil-Siegel formula II. (1988) (64)
Height pairings on Shimura curves and p-adic uniformization (1998) (57)
Degenerate principal series representations forU(n, n) (1997) (57)
Harmonic differentials and closed geodesics on a Riemann surface (1979) (52)
The theta correspondence and harmonic forms. II (1987) (48)
Eisenstein series for SL(2) (2010) (48)
On a conjecture of Jacquet (2001) (41)
Modular Forms and Special Cycles on Shimura Curves. (AM-161) (2006) (40)
Special Values of Green Functions at Big CM Points (2011) (39)
Theta integrals and generalized error functions (2016) (35)
Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms (1982) (35)
Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications (2017) (29)
Theta-functions and Hilbert modular forms (1978) (29)
Derivatives of Eisenstein series and generating functions for arithmetic cycles (2000) (27)
Some Extensions of the Siegel-Weil Formula (2008) (25)
Derivatives of Eisenstein Series and Arithmetic Geometry (2003) (24)
On certain arithmetic automorphic forms forSU (1,q) (1979) (23)
Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms (1978) (22)
From Modular Forms to Automorphic Representations (2004) (19)
Tubes, Cohomology with Growth Conditions and an Application to the Theta Correspondence (1988) (19)
An alternative description of the Drinfeld p-adic half-plane (2011) (19)
Modular forms and arithmetic geometry (2003) (16)
Automorphic representations, L-functions and applications : progress and prospects : proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, the Ohio State University, March 27-30, 2003 (2005) (15)
Mock modular forms and geometric theta functions for indefinite quadratic forms (2017) (14)
Faltings Heights and the Derivative of Zagier’s Eisenstein Series (2004) (14)
On some incomplete theta integrals (2019) (13)
The Poincaré Dual of a Geodesic Algebraic Curve in a Quotient of the 2-Ball (1981) (13)
On occult period maps (2012) (12)
On the pullback of an arithmetic theta function (2011) (12)
A Note About Special Cycles on Moduli Spaces of K3 Surfaces (2014) (12)
Eisenstein series and applications (2008) (12)
Relations between automorphic forms produced by theta-functions (1977) (12)
On certain Euler products for SU$(2, 1)$ (1980) (11)
NEW CASES OF p-ADIC UNIFORMIZATION (2013) (11)
Holomorphic siegel modular forms associated to SO(n, 1) (1981) (10)
Cycles on Siegel 3-folds and derivatives of Eisenstein series (1997) (10)
Faltings heights of big CM cycles and derivatives of L-functions (2010) (10)
Theta integrals and generalized error functions, II (2017) (9)
A classification of harmonic Maass forms (2016) (9)
Remarks on generating series for special cycles on orthogonal Shimura varieties (2019) (8)
Cohomology of arithmetic groups (2018) (7)
Another product for a Borcherds form (2014) (7)
On the integrals of certain singular theta-functions (1982) (6)
Charge and spin conductivity of a two-dimensional electron gas with a random Rashba interaction (2018) (5)
Conduction of surface electrons in a topological insulator with spatially random magnetization (2019) (4)
On the p-adic uniformization of unitary Shimura curves (2020) (4)
Periods of integrals for $SU(n, 1)$ (1983) (3)
Degenerate Whittaker functions for Sp_n(R). (2016) (3)
On the ${\mathbf{R}}$-forms of certain algebraic varieties (1975) (3)
The case of an N-gon (2021) (2)
Transmission of charge and spin in a topological‐insulator‐based magnetic structure (2017) (2)
Trapped imbalanced fermionic superfluids in one dimension: A variational approach (2017) (2)
Arithmetic divisors on orthogonal and unitary Shimura varieties (2020) (1)
Pairing correlations in a trapped one-dimensional Fermi gas (2014) (1)
Computing local l-factors for the unramified principal series of sp2(f) and its metaplectic cover (2007) (1)
FFLO pairing correlations in a trapped quasi one-dimensional Fermi gas (2014) (0)
Chapter 6 Appendix (2006) (0)
A classification of harmonic Maass forms (2017) (0)
Controllable transport of surface electrons in a topological-insulator-based magnetic structure (2017) (0)
Chapter 8. On the doubling integral (2006) (0)
A peculiar modular form of weight one (1998) (0)
Chapter 3. Cycles on Shimura curves (2006) (0)
Chapter 2. Arithmetic intersection theory on stacks (2006) (0)
Indefinite theta series: the case of an $N$-gon (2023) (0)
Automorphic Forms, Geometry and Arithmetic (2022) (0)
Preface (2020) (0)
N T ] 2 6 O ct 2 00 1 Derivatives of Eisenstein series and Faltings heights (2001) (0)
Theta integrals and generalized error functions (2017) (0)
2 9 A ug 2 00 3 Modular forms and arithmetic geometry (2003) (0)
New Geometric Methods in Number Theory and Automorphic Forms (2014) (0)
On the subring of special cycles (2020) (0)
N T ] 2 1 N ov 2 00 1 On a conjecture of Jacquet by (2018) (0)
Electron scattering by magnetic quantum dot in topological insulator (2021) (0)
Chapter 6. The generating function for 0-cycles (2006) (0)
Chapter 5. The central derivative of a genus two Eisenstein series (2006) (0)
On the pullback of an arithmetic theta function (2012) (0)
Chapter 7. An inner product formula (2006) (0)
Chapter 9. Central derivatives of L-functions (2006) (0)
Automorphic Forms: New Directions (2011) (0)
Chapter 4. An arithmetic theta function (2006) (0)

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