Dipendra Prasad

Q: What Schools Are Affiliated With Dipendra Prasad

Dipendra Prasad is affiliated with the following schools: Tata Institute of Fundamental Research, IIT Kanpur, University of Chicago, St. Xavier's College, Mumbai, Harvard University

Dipendra Prasad's AcademicInfluence.com Rankings

Dipendra Prasad

Mathematics

#5323

World Rank

#7499

Historical Rank

Algebraic Geometry

#221

World Rank

#232

Historical Rank

Number Theory

#378

World Rank

#472

Historical Rank

Measure Theory

#3647

World Rank

#4302

Historical Rank

mathematics Degrees

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Mathematics

Why Is Dipendra Prasad Influential?

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According to Wikipedia, Dipendra Prasad is an Indian mathematician. He is a professor of mathematics at the Indian Institute of Technology Bombay. He is a number theorist known for his work in the areas of automorphic representations and the Gan–Gross–Prasad conjecture. He is currently the president of Commission for Developing Countries of International Mathematics Union and of Indian Math Society .

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Dipendra Prasad'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

Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups (2009) (400)
On the Decomposition of a Representation of SOn When Restricted to SOn-1 (1992) (209)
Trilinear forms for representations of GL(2) and local ε-factors (1990) (135)
On Irreducible Representations of So2n+1 × So2m (1994) (93)
Invariant Forms for Representations of GL 2 Over a Local Field (1992) (76)
Trilinear forms for representations of $\mathrm {GL}(2)$ and local $\epsilon $-factors (1990) (72)
Bessel models for GSp(4) (2007) (68)
Test vectors for linear forms (1991) (67)
Restrictions of representations of classical groups: examples (2009) (47)
On the local Howe duality correspondence (1993) (43)
On a conjecture of Jacquet about distinguished representations of GL(n) (2001) (41)
A `relative' local Langlands correspondence (2015) (40)
Some applications of seesaw duality to branching laws (1996) (39)
Generalised form of a conjecture of Jacquet and a local consequence (2006) (39)
Weil representation, Howe duality, and the theta correspondence (1993) (38)
On certain multiplicity one theorems (2004) (34)
Branching laws for classical groups: the non-tempered case (2019) (33)
Self-dual representations of division algebras and Weil groups: A contrast (2008) (32)
On the Self-Dual Representations of Finite Groups of Lie Type (1998) (31)
On the decomposition of a representation of $GL(3)$ restricted to $GL(2)$ over a $P$-adic field (1993) (31)
Relating invariant linear form and local epsilon factors via global methods (2005) (31)
A brief survey on the theta correspondence (1998) (30)
EXT-ANALOGUES OF BRANCHING LAWS (2013) (29)
Bounding the torsion in CM elliptic curves (1998) (25)
On the Self-dual Representations of a p-adic Group (1999) (24)
DISTINGUISHED REPRESENTATIONS FOR SL(2) (2003) (24)
Reduction of homomorphisms mod p and algebraicity (2002) (24)
Representation Theory of GL ( n ) over Non-Archimedean Local Fields (2007) (23)
Distinguished Representations for Quadratic Extensions (1999) (23)
Some Remarks on Representations of a Division Algebra and of the Galois Group of a Local Field (1999) (22)
Theta correspondence for unitary groups (2000) (22)
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups (2007) (22)
Invariant linear forms for representations of GL 2 over a local field (1992) (21)
On an extension of a theorem of Tunnell (1994) (20)
Hyperbolic unit groups (2004) (20)
Dimension of zero weight space: An algebro-geometric approach (2013) (18)
Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms (2018) (15)
ON THE GLOBAL ROOT NUMBERS OF GL(n)× GL(m) (2007) (13)
Lifting orthogonal representations to spin groups and local root numbers (1995) (13)
The space of degenerate Whittaker models for general linear groups over a finite field (2000) (13)
On a duality theorem of Schneider–Stuhler (2017) (13)
Generalizing the MVW involution, and the contragredient (2017) (12)
Relating the Tate–Shafarevich group of an elliptic curve with the class group (2019) (12)
Kirillov theory for ${\rm GL}\sb 2(\mathscr {D})$ where $\mathscr {D}$ is a division algebra over a non-Archimedean local field (2000) (12)
Tate Cycles on a Product of Two Hilbert Modular Surfaces (2000) (12)
On an Archimedean analogue of Tate's conjecture (2002) (11)
A local-global question in automorphic forms (2011) (11)
On the SL(2) period integral (2004) (10)
A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians (2014) (10)
Symplectic models for unitary groups (2016) (9)
Euler-Poincaré Characteristic for the Oscillator Representation (2016) (8)
Multiplicity upon restriction to the derived subgroup (2018) (7)
Generic representations for symmetric spaces (2018) (6)
Half the sum of positive roots, the Coxeter element, and a theorem of Kostant (2014) (6)
Extensions of representations of p-adic groups (2011) (5)
Extending local representations to global representations (1996) (5)
Multiplicities under basechange: Finite field case (2019) (5)
On the cuspidality criterion for the Asai transfer to GL ( 4 ) (2011) (5)
The space of degenerate Whittaker models for GL ( 4 ) over p-adic fields (2007) (5)
Distinguished representations for $\mathrm{SL}(n)$ (2018) (5)
On the Steinitz module and capitulation of ideals (2000) (4)
Notes on Central Extensions (2015) (4)
Cohomological representations for real reductive groups (2019) (4)
BRANCHING LAWS : THE NON-TEMPERED CASE (2018) (3)
On the restriction of cuspidal representations to unipotent elements (2002) (3)
ON THE SELF-DUAL REPRESENTATIONS OF DIVISION ALGEBRAS OVER LOCAL FIELDS (2004) (3)
Reducible principal series representations, and Langlands parameters for real groups (2017) (3)
A mod-p Artin–Tate conjecture, and generalizing the Herbrand–Ribet theorem (2017) (3)
Notes on representations of finite groups of Lie type (2014) (3)
An analogue of a conjecture of Mazur a question in Diophantine approximation on tori (2002) (3)
A character relationship between symmetric group and hyperoctahedral group (2019) (3)
A character relationship on $GL_n$ (2014) (3)
Multiplicities for tensor products on special linear versus classical groups (2020) (2)
On the contragredient (2017) (2)
Notes on modular representations of $p$-adic groups, and the Langlands correspondence (2014) (2)
Multiplicity formula for restriction of representations of ̃₂() to ̃₂() (2015) (2)
Trilinear forms for GL(2) of a local field and ε-factors (1989) (2)
Twisted GGP Problems and Conjectures (2022) (2)
Reduction of abstract homomorphisms of lattices mod p and rigidity (2002) (2)
A Report on Artin’s Holomorphy Conjecture (2000) (2)
Symplectic root numbers of two-dimensional Galois representations : an interpretation (2006) (1)
Homological aspects of branching laws (2023) (1)
Contributions to algebraic number theory from India : From independence to late 90’s (2019) (1)
Relations between cusp forms sharing Hecke eigenvalues (2020) (1)
Distinguished representations for quadratic extensions of finite fields (2007) (1)
A character relationship on GLn(ℂ) (2016) (1)
Lectures On Algebraic Number Theory (2007) (1)
Multiplicity formula for restriction of representations of $\widetilde{{\rm GL}}_{2}(E)$ to $\widetilde{{\rm SL}}_{2}(E)$ (2014) (1)
Comparison of germ expansion¶on inner forms of GL(n) (2000) (1)
SOME REMARKS ON REPRESENTATIONS OF QUATERNION DIVISION ALGEBRAS (2010) (1)
MULTIPLICITY FORMULA FOR RESTRICTION OF REPRESENTATIONS OF G̃L2(F ) TO S̃L2(F ) SHIV PRAKASH PATEL AND DIPENDRA PRASAD (2015) (1)
RESTRICTIONS OF REPRESENTATIONS OF CLASSICAL GROUPS: EXAMPLES WEE TECK GAN, BENEDICT H. GROSS AND DIPENDRA PRASAD (2009) (1)
The Main Theorem of Complex Multiplication 1 (2007) (0)
A character relationship on GLn(ℂ) (2016) (0)
A Cauchy-Schwarz inequality for representations of SU(2) (2015) (0)
Multiplicities for tensor products on special linear versus classical groups (2020) (0)
On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad (2019) (0)
Contributions to Algebraic Number Theory from India (2004) (0)
BESSEL MODELS FOR GSp ( 4 ) : BACKGROUND AND MOTIVATION (2009) (0)
Restriction of representations of metaplectic GL2(F) to tori (2018) (0)
The Space of DegenerateWhittaker Models for General Linear Groups over a Finite Field (2000) (0)
R T ] 3 0 Se p 20 04 ON CERTAIN MULTIPLICITY ONE THEOREMS (2008) (0)
The Main Theorem of Complex Multiplication (2003) (0)
Automorphic representations and L-functions : proceedings of the International Colloquium, Mumbai 2012 (2013) (0)
The legacy of Srinivasa Ramanujan : proceedings of an international conference in celebration of the 125th anniversary of Ramanujan's birth : University of Delhi, 17-22 December 2012 (2013) (0)
Homological duality for covering groups of reductive $p$-adic groups (2021) (0)
Pacific Journal of Mathematics THETA CORRESPONDENCE FOR UNITARY GROUPS (2006) (0)
Lectures on Tate ’ s thesis (2007) (0)
Pacific Journal of Mathematics THETA CORRESPONDENCE FOR UNITARY GROUPS (2006) (0)
Restriction of representations of metaplectic GL2(F) to tori (2017) (0)

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