Stephen Rallis | Academic Influence

Stephen Rallis's AcademicInfluence.com Rankings

Stephen Rallis

Mathematics

#3540

World Rank

#5204

Historical Rank

#1306

USA Rank

Algebra

#512

World Rank

#680

Historical Rank

#95

USA Rank

Measure Theory

#2958

World Rank

#3513

Historical Rank

#858

USA Rank

mathematics Degrees

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Mathematics

Stephen Rallis's Degrees

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

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Why Is Stephen Rallis Influential?

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According to Wikipedia, Stephen James Rallis was an American mathematician who worked on group representations, automorphic forms, the Siegel–Weil formula, and Langlands L-functions. Career Rallis received a B.A. in 1964 from Harvard University, a Ph.D. in 1968 from the Massachusetts Institute of Technology, and spent 1968–1970 at the Institute for Advanced Study in Princeton. After two years at Stony Brook, two years at Universite de Strasbourg, and several visiting positions, he joined the faculty at Ohio State University in 1977 and stayed there for the rest of his career.

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Stephen Rallis'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

Orbits and Representations Associated with Symmetric Spaces (1971) (436)
Multiplicity one Theorems (2007) (261)
A Regularized Siegel-Weil Formula: The First Term Identity (1994) (246)
Explicit constructions of automorphic L-functions (1987) (209)
The descent map from automorphic representations of GL(n) to classical groups (2011) (197)
Rankin triple L-functions (1987) (162)
On the local factors of representations of classical groups (2005) (150)
Uniqueness of linear periods (1996) (138)
L-functions for the classical groups (1987) (133)
On the Weil-Siegel formula. (1988) (125)
Langlands' Functoriality and the Weil Representation (1982) (103)
Generic automorphic forms on SO(2n + 1): functorial lift to GL(2n), endoscopy, and base change (2001) (91)
L-Functions and the Oscillator Representation (1987) (91)
On the howe duality conjecture (1984) (91)
L Functions for the Orthogonal Group (1997) (88)
Degenerate principal series and invariant distributions (1990) (85)
On explicit lifts of cusp forms from GLm to classical groups (1999) (85)
On the nonvanishing of the central value of the Rankin-Selberg L-functions (2004) (84)
ε factor of representations of classical groups (1986) (80)
Ramified degenerate principal series representations forSp(n) (1992) (78)
On First Occurrence in the Local Theta Correspondence (2004) (77)
On the automorphic theta representation for simply laced groups (1997) (76)
On Fourier coefficients of automorphic forms of symplectic groups (2003) (75)
On the degree 5L-function for Sp(2) (1992) (71)
L-functions for symplectic groups (1998) (67)
On the Weil-Siegel formula II. (1988) (64)
Symplectic-Whittaker models for Gln (1990) (56)
Spherical characters on P-Adic symmetric spaces (1996) (55)
Symplectic periods. (1992) (54)
Periods, poles of L-functions and symplectic-orthogonal theta lifts. (1997) (53)
Injectivity properties of liftings associated to Weil representations (1984) (53)
Distributions invariantes par le groupe orthogonal (1975) (52)
Vanishing periods of cusp forms over modular symbols (1993) (51)
On the Gross-Prasad conjecture for unitary groups Hervé Jacquet and (2007) (44)
A trace formula for symmetric spaces (1993) (38)
On a correspondence between cuspidal representations of _{2} and _{2} (1999) (37)
Theta Correspondence Associated to G 2 (1989) (34)
L-FUNCTIONS FOR SYMPLECTIC GROUPS USING FOURIER-JACOBI MODELS (2009) (33)
A tower of theta correspondences for $G_2$ (1997) (33)
The Exterior Cube L-Function for GL(6) (2000) (31)
Automorphic forms constructed from the Weil representation, holomorphic case (1978) (29)
Stability of the local gamma factor arising from the doubling method (2005) (29)
Weil representation I : intertwining distributions and discrete spectrum (1980) (28)
Kloosterman integrals for skew symmetric matrices. (1992) (27)
Models for Certain Residual Representations of Unitary Groups (2008) (27)
Multiplicity one Conjectures (2007) (25)
On a relation between ̃₂ cusp forms and cusp forms on tube domains associated to orthogonal groups (1981) (23)
Fourier coefficients of Eisenstein series of the exceptional group of type G2 (1997) (21)
Self-dual automorphic GLn modules and construction of a backward lifting from GLn to classical groups (1997) (20)
Discrete spectrum of the Weil representation (1977) (20)
Cubic correspondences arising from G2 (1997) (18)
Nonvanishing of the central critical value of the third symmetric power L-functions (2001) (18)
On the nonnegativity of L(1/2, pi) for SO(2n + 1) (2003) (17)
The Eichler Commutation Relation and the continuous spectrum of the weil representation (1979) (17)
Construction of CAP representations for symplectic groups using the descent method (2005) (17)
Lifting cusp forms on ${\text{GL}}_{2n}$ to $\widetilde{{\text{Sp}}}_{2n}$: The unramified correspondence (1999) (17)
On representations associated with symmetric spaces (1969) (15)
A Uniqueness Theorem of Fourier Jacobi Models for Representations of Sp(4) (2000) (15)
On orbits associated with symmetric spaces (1969) (15)
A SPECTRAL IDENTITY FOR SKEW SYMMETRIC MATRICES (2003) (15)
Jacquet modules of the Weil representations and families of relative trace identities (2004) (14)
ENDOSCOPIC REPRESENTATIONS OF $\widetilde{\mathrm{Sp}}_{2n}$ (2002) (12)
On CAP automorphic representations of a split group of type D4 (2002) (12)
A tower of Rankin-Selberg integrals (1994) (12)
A trace formula for dual pairs (1997) (11)
ENDOSCOPIC REPRESENTATIONS OF S̃p2n (2002) (10)
Automorphic cusp forms constructed from the Weil representation (1977) (10)
RANKIN-SELBERG INTEGRALS FOR THE GROUP G2 (1992) (9)
A relative Kuznietsov trace formula on G2 (1999) (8)
Howe duality and the trace formula (1999) (8)
Periods of residual representations of SO(2l) (2004) (7)
A new construction of the inverse Shimura correspondence (1997) (7)
A Plancherel formula for Sp2n/Spn×Spn and its application (2009) (6)
The induced Weil representation and the Shalika period (1999) (5)
A spectral identity between symmetric spaces (2004) (5)
On the nonnegativity of L ( 12 , π ) for SO (2003) (5)
A relative trace identity between ${\rm GL}_{2n}$ and $\widetilde{\mathrm{Sp}}_n$ (2010) (5)
On a cubic lifting (1999) (4)
$L$ functions for the group $G_2$ (1990) (4)
epsilon factor of representations of classical groups. (1986) (3)
Positivity of for symplectic representations (2002) (3)
A RELATIVE TRACE IDENTITY BETWEEN GL2n AND S̃pn (2009) (3)
On the nonnegativity of $L(\frac 12,\pi)$ for $SO(2n+1)$ (2004) (3)
On the uniqueness of Fourier Jacobi models for representations of (,1) (2007) (3)
Global method in relative trace identities (2005) (3)
Notation and preliminaries (1987) (2)
Positivity of L( 1 ;…) for symplectic representations (2002) (2)
Cubic Base Change for $\text{GL(2)}$ (2000) (2)
A Remark on Gelfand Pairs of Finite Groups of Lie Type (1998) (2)
Complement to the appendix of: “On the Howe duality conjecture” (2013) (2)
Erratum to "On the Non-vanishing of the Central Value of the Rankin-Selberg L-functions" (2019) (2)
Analytic continuation of Archimedean Whittaker integrals (1989) (1)
THE UNRAMIFIED CORRESPONDENCE (1999) (1)
Siegel formula — Compact case (1987) (1)
ON REPRESENTATIONS ASSOCIATED WITH SYMMETRIC SPACES BY BERTRAM KOSTANT AND STEPHEN RALLIS (2007) (0)
Some double coset decompositions (2011) (0)
Special Eisenstein series on orthogonal groups (1987) (0)
Jacquet modules corresponding to Gelfand - Graev characters of parabolically induced representations (2011) (0)
Coefficients of Gelfand-Graev Type, of Fourier-Jacobi Type, and Descent (2011) (0)
Local l-factors (1987) (0)
Global genericity of the descent and global integrals of Rankin-Selberg type and of Shimura type (2011) (0)
Langlands (weak) functorial lift and descent (2011) (0)
A TRACE FORMULA FOR SYMMETRIC SPACES HERVI JACQUET (0)
Siegel formula revisited (1987) (0)
A TRACE FORMULA FOR DUAL PAIRS ZHENGYU MAO (0)
On local gamma factors for orthogonal groups and unitary groups (2017) (0)
ON ORBITS ASSOCIATED WITH SYMMETRIC SPACES BY BERTRAM KOSTANT AND STEPHEN RALLIS (2007) (0)
On Certain Residual Representations (2011) (0)
Inner product formulae (1987) (0)
On the Nonnegativity of L( (2004) (0)
Introduction. We recall from the theory of the Weil representation for the dual reductive pair (0((bl), Sp,) that there exists a representation (2016) (0)
ON SPECIAL UNIPOTENT ORBITS AND FOURIER COEFFICIENTS FOR AUTOMORPHIC FORMS ON SYMPLECTIC GROUPS (2021) (0)
Jacquet modules corresponding to Fourier - Jacobi characters of parabolically induced representations (2011) (0)
Pacific Journal of Mathematics HOWE DUALITY AND THE TRACE FORMULA (2006) (0)
The tower property (2011) (0)
Non-vanishing of the descent II (2011) (0)

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