Benedict Gross
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American number theorist
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Benedict Grossmathematics Degrees
Mathematics
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#430
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Number Theory
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#36
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#7
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Measure Theory
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#2766
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#650
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Mathematics
Why Is Benedict Gross Influential?
(Suggest an Edit or Addition)According to Wikipedia, Benedict Hyman Gross is an American mathematician who is a professor at the University of California San Diego, the George Vasmer Leverett Professor of Mathematics Emeritus at Harvard University, and former Dean of Harvard College.
Benedict Gross's Published Works
Published Works
- Heegner points and derivatives ofL-series (1986) (1059)
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups (2009) (400)
- Real algebraic curves (1981) (272)
- A tameness criterion for Galois representations associated to modular forms $(\mod p)$ (1990) (263)
- Heegner points and derivatives ofL-series. II (1987) (214)
- On the Decomposition of a Representation of SOn When Restricted to SOn-1 (1992) (209)
- Arithmetic invariants of discrete Langlands parameters (2010) (190)
- Gauss sums and the p-adic F-function (1979) (175)
- Arithmetic on Elliptic Curves with Complex Multiplication (1980) (162)
- On the periods of abelian integrals and a formula of Chowla and Selberg (1978) (153)
- Some results on the Mordell-Weil group of the Jacobian of the Fermat curve (1978) (135)
- Algebraic modular forms (1999) (126)
- Fourier coefficients of modular forms on G2 (2002) (125)
- Heights and the central critical values of triple product $L$-functions (1992) (117)
- On quaternionic discrete series representations, and their continuations. (1996) (113)
- On canonical and quasi-canonical liftings (1986) (111)
- On the motive of a reductive group (1997) (103)
- Group representations and lattices (1990) (94)
- On Irreducible Representations of So2n+1 × So2m (1994) (93)
- The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point (2012) (91)
- The modified diagonal cycle on the triple product of a pointed curve (1995) (86)
- On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3 (1985) (83)
- Regulators and Iwasawa modules (1980) (79)
- Groups over ℤ (1996) (79)
- Arithmetic on elliptic curves with complex multiplication. II (1985) (78)
- Gradings of positive rank on simple Lie algebras (2012) (73)
- Galois Representations in Arithmetic Algebraic Geometry: On the Satake isomorphism (1998) (70)
- On the intersection of modular correspondences (1993) (70)
- Some applications of Gelfand pairs to number theory (1991) (68)
- Test vectors for linear forms (1991) (67)
- A rigid irregular connection on the projective line (2009) (63)
- Automorphisms of even unimodular lattices and unramified Salem numbers (2002) (60)
- Motives with Galois Group of type G2>: an Exceptional Theta-Correspondence (1998) (60)
- Local Heights on Curves (1986) (59)
- A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4 (1994) (56)
- The Weyl character formula, the half-spin representations, and equal rank subgroups. (1998) (55)
- A Remark on Tube Domains (1994) (49)
- Restrictions of representations of classical groups: examples (2009) (47)
- From Laplace to Langlands via representations of orthogonal groups (2006) (47)
- LOCAL ORDERS, ROOT NUMBERS, AND MODULAR CURVES (1988) (46)
- Arithmetic invariant theory (2012) (46)
- On the exceptional series, and its descendants (2002) (45)
- The exceptional cone and the Leech lattice (1996) (45)
- On Cubic Rings and Quaternion Rings (2009) (45)
- $p$-adic Heights on Curves (1989) (41)
- Restriction of small discrete series represen-tations to symmetric subgroups (2000) (39)
- Haar Measure and the Artin Conductor (1999) (37)
- A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension (2013) (33)
- Branching laws for classical groups: the non-tempered case (2019) (33)
- On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication (1982) (32)
- Minimal models for elliptic curves with complex multiplication (1982) (32)
- An elliptic curve test for Mersenne primes (2005) (31)
- NON-SPLIT REDUCTIVE GROUPS OVER Z (2011) (30)
- On the local divisibility of Heegner points (2012) (29)
- Heegner Points and Representation Theory (2004) (28)
- L-functions and Arithmetic: Kolyvagin's work for modular elliptic curves (1991) (27)
- Globally maximal arithmetic groups (2002) (27)
- Lectures on the Conjecture of Birch and Swinnerton-Dyer (2009) (24)
- Irreducible cuspidal representations with prescribed local behavior (2011) (24)
- Intersection triangles and block intersection numbers of Steiner systems (1974) (24)
- On the Hilbert polynomials and Hilbert series of homogeneous projective varieties (2007) (24)
- Modular forms modp and Galois representations (1998) (23)
- Pencils of quadrics and the arithmetic of hyperelliptic curves (2013) (22)
- On the factorization ofp-adicL-series (1980) (20)
- Heegner points and the modular curve of prime level (1987) (18)
- Fourier series and the special values of L-functions (1988) (18)
- THE ARITHMETIC OF ELLIPTIC CURVES—AN UPDATE (2006) (17)
- Cyclotomic factors of Coxeter polynomials (2009) (15)
- Rigid local systems on Gm with finite monodromy (2010) (15)
- On the Euler characteristic of the discrete spectrum (2005) (15)
- On the Langlands correspondence for symplectic motives (2016) (14)
- On the values of Artin L-functions (2005) (13)
- Commutative subrings of certain non-associative rings (1999) (12)
- On Minuscule Representations and the Principal SL2 (2005) (12)
- Computing weight 2 modular forms of level p2 (2004) (12)
- On Bhargava ’ s representations and Vinberg ’ s invariant theory (2011) (12)
- On the centralizer of a regular, semi-simple, stable conjugacy class (2005) (11)
- On Minuscule Representations and the Principal SL (2000) (11)
- Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits (2015) (11)
- On an identity of chowla and selberg (1979) (11)
- The classes of singular moduli in the generalized Jacobian (2012) (10)
- Hanoi lectures on the arithmetic of hyperelliptic curves (2012) (10)
- The theory of complex multiplication (1980) (9)
- On the motive of $G$ and the principal homomorphism $SL_2 \to \hat{G}$ (1997) (9)
- On the critical values of Hecke L-series (1980) (8)
- Some Remarks on Signs in Functional Equations (2003) (8)
- Incoherent Definite Spaces and Shimura Varieties (2020) (7)
- Trivial L-functions for the rational function field (2013) (6)
- EMBEDDINGS INTO THE INTEGRAL OCTONIONS (1997) (5)
- The Eisenstein descent onJ0 (N) (1986) (5)
- The Dual Pair PGL3 × G2 (1997) (5)
- Odd Galois representations (2007) (5)
- On Hecke’s decomposition of the regular differentials on the modular curve of prime level (2018) (4)
- Representation theory and the cuspidal group of $X(p)$ (1987) (3)
- BRANCHING LAWS : THE NON-TEMPERED CASE (2018) (3)
- Cubic rings and the exceptional Jordan algebra (2001) (3)
- Use of δ-functions in the theory of linear systems (1957) (3)
- Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (2009) (2)
- Twisted GGP Problems and Conjectures (2022) (2)
- Minuscule embeddings (2020) (2)
- Arithmetic invariant theory II (2013) (2)
- A positive proportion of locally soluble hyperelliptic curves over $\mathbb Q$ have no point over any odd degree extension (2013) (2)
- RESTRICTIONS OF REPRESENTATIONS OF CLASSICAL GROUPS: EXAMPLES WEE TECK GAN, BENEDICT H. GROSS AND DIPENDRA PRASAD (2009) (1)
- Integral Embeddings of Cubic Norm Structures (2000) (1)
- Rings of small rank over a Dedekind domain and their ideals SENIOR THESIS (2015) (1)
- The road to GGP (2022) (1)
- Use of d 5-functions in the theory of linear systems (1956) (1)
- Fat Chance: Probability from 0 to 1 (2019) (1)
- Heegner Points and Rankin L -Series: Correspondence (2004) (1)
- Congruence mod n (2011) (0)
- Unramified Reciprocal Polynomials and Coxeter Decompositions (2002) (0)
- Equivalence Relations; Cosets; Examples (2011) (0)
- Simple Supercuspidals and the Langlands Correspondence (2020) (0)
- On the periods of abelian varieties (2020) (0)
- Lattices and Applications in Number Theory (2016) (0)
- Singular and Supersingular Moduli (2003) (0)
- (2017). A positive proportion of locally soluble hyperelliptic curves over Q have no point over any odd degree extension. Journal of the American Mathematical Society, 30(2), 451-493. (2017) (0)
- Notation and conventions (1980) (0)
- Biographical Memoirs: Andrew Gleason (2010) (0)
- Two encounters with the p-adic Stark conjecture (2023) (0)
- Technique for interactively displaying a series of tomographic images: design and efficacy study (1987) (0)
- The Q-curve A(p) (1980) (0)
- Topological Invariants of Real Algebraic Curves (1981) (0)
- Working with Don (2023) (0)
- A POSITIVE PROPORTION OF LOCALLY SOLUBLE HYPERELLIPTIC CURVES OVER Q HAVE NO POINT OVER ANY ODD DEGREE EXTENSION MANJUL BHARGAVA, BENEDICT H. GROSS, AND XIAOHENG WANG, WITH AN APPENDIX BY TIM DOKCHITSER AND VLADIMIR DOKCHITSER (2017) (0)
- A pr 2 02 3 TWISTED GGP PROBLEMS AND CONJECTURES , GGP IV (2023) (0)
- A short note on S.-T. Yau (2019) (0)
- Memorial Article for John Tate (2021) (0)
- Correspondence between Bryan Birch and Benedict Gross (2004) (0)
- Gradings of positive rank on simple Lie algebras (2012) (0)
- Fourier Coeecients for G 2 (1999) (0)
- Heegner Points on X ... (11) (1982) (0)
- On Hecke’s decomposition of the regular differentials on the modular curve of prime level (2018) (0)
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