#7,656

Most Influential Person

American number theorist

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.

- Heegner points and derivatives ofL-series (797)
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups (317)
- A tameness criterion for Galois representations associated to modular forms $(\mod p)$ (249)
- Real algebraic curves (243)
- Heegner points and derivatives ofL-series. II (215)
- On the decomposition of a representation of ${ m SO}sb n$ when restricted to ${ m SO}sb {n-1}$ (169)
- Gauss sums and the p-adic F-function (168)
- Arithmetic invariants of discrete Langlands parameters (163)
- On the periods of abelian integrals and a formula of Chowla and Selberg (142)
- Some results on the Mordell-Weil group of the Jacobian of the Fermat curve (121)
- Arithmetic on elliptic curves with complex multiplication. II (117)
- Fourier coefficients of modular forms on G2 (111)
- Heights and the central critical values of triple product $L$-functions (107)
- Algebraic modular forms (107)
- On canonical and quasi-canonical liftings (106)
- On quaternionic discrete series representations, and their continuations. (105)
- Arithmetic on Elliptic Curves with Complex Multiplication (100)
- On the motive of a reductive group (89)
- Group representations and lattices (84)
- The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point (80)
- Groups over ℤ (78)
- The modified diagonal cycle on the triple product of a pointed curve (78)
- On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3 (75)
- Galois Representations in Arithmetic Algebraic Geometry: On the Satake isomorphism (70)
- On irreducible representations of ${ m SO}sb {2n+1} imes{ m SO}sb {2m}$ (69)
- Regulators and Iwasawa modules (64)
- On the intersection of modular correspondences (63)
- Test vectors for linear forms (62)
- Some applications of Gelfand pairs to number theory (61)
- Gradings of positive rank on simple Lie algebras (59)
- A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4 (54)
- Local Heights on Curves (54)
- Automorphisms of even unimodular lattices and unramified Salem numbers (53)
- Motives with Galois Group of type G2>: an Exceptional Theta-Correspondence (52)
- The Weyl character formula, the half-spin representations, and equal rank subgroups. (51)
- A rigid irregular connection on the projective line (49)
- From Laplace to Langlands via representations of orthogonal groups (43)
- LOCAL ORDERS, ROOT NUMBERS, AND MODULAR CURVES (42)
- A Remark on Tube Domains (41)
- On the exceptional series, and its descendants (40)
- Arithmetic invariant theory (39)
- The exceptional cone and the Leech lattice (39)
- On Cubic Rings and Quaternion Rings (38)
- $p$-adic Heights on Curves (38)
- Restriction of small discrete series represen-tations to symmetric subgroups (35)
- Haar Measure and the Artin Conductor (33)
- Restrictions of representations of classical groups: examples (31)
- Minimal models for elliptic curves with complex multiplication (31)
- On the local divisibility of Heegner points (30)
- Heegner Points and Representation Theory (29)
- An elliptic curve test for Mersenne primes (29)
- L-functions and Arithmetic: Kolyvagin's work for modular elliptic curves (27)
- On the factorization ofp-adicL-series (26)
- On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication (24)
- NON-SPLIT REDUCTIVE GROUPS OVER Z (24)
- Globally maximal arithmetic groups (24)
- Intersection triangles and block intersection numbers of Steiner systems (23)
- Lectures on the Conjecture of Birch and Swinnerton-Dyer (22)
- THE ARITHMETIC OF ELLIPTIC CURVES—AN UPDATE (22)
- Irreducible cuspidal representations with prescribed local behavior (22)
- Modular forms modp and Galois representations (21)
- On the Hilbert polynomials and Hilbert series of homogeneous projective varieties (20)
- Pencils of quadrics and the arithmetic of hyperelliptic curves (20)
- Branching laws for classical groups: the non-tempered case (19)
- Heegner points and the modular curve of prime level (16)
- Fourier series and the special values of L-functions (15)
- Cyclotomic factors of Coxeter polynomials (14)
- On the Euler characteristic of the discrete spectrum (14)
- Rigid local systems on Gm with finite monodromy (13)
- Computing weight 2 modular forms of level p2 (12)
- Commutative subrings of certain non-associative rings (12)
- On the values of Artin L-functions (12)
- On an identity of chowla and selberg (11)
- On the critical values of Hecke L-series (11)
- On the Langlands correspondence for symplectic motives (10)
- On the motive of $G$ and the principal homomorphism $SL_2 \to \hat{G}$ (9)
- On Bhargava ’ s representations and Vinberg ’ s invariant theory (9)
- On Minuscule Representations and the Principal SL (9)
- Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits (8)
- On Minuscule Representations and the Principal SL2 (8)
- On the centralizer of a regular, semi-simple, stable conjugacy class (8)
- Hanoi lectures on the arithmetic of hyperelliptic curves (8)
- The classes of singular moduli in the generalized Jacobian (7)
- The theory of complex multiplication (7)
- Some Remarks on Signs in Functional Equations (6)
- Trivial L-functions for the rational function field (6)
- EMBEDDINGS INTO THE INTEGRAL OCTONIONS (5)
- Incoherent Definite Spaces and Shimura Varieties (5)
- A positive proportion of locally soluble hyperelliptic curves over $\mathbb Q$ have no point over any odd degree extension (4)
- The Eisenstein descent onJ0 (N) (4)
- On Hecke’s decomposition of the regular differentials on the modular curve of prime level (3)
- BRANCHING LAWS : THE NON-TEMPERED CASE (3)
- Use of δ-functions in the theory of linear systems (3)
- Odd Galois representations (3)
- The Dual Pair PGL3 × G2 (3)
- Representation theory and the cuspidal group of $X(p)$ (3)
- Arithmetic invariant theory II (2)
- Some Remarks on Signs in Functional Equations (2)
- Cubic rings and the exceptional Jordan algebra (2)
- Use of d 5-functions in the theory of linear systems (1)
- Rings of small rank over a Dedekind domain and their ideals SENIOR THESIS (1)
- Heegner Points and Rankin L -Series: Correspondence (1)
- Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (1)
- Simple supercuspidals and the Langlands correspondence (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 (0)
- Fat Chance (0)
- Fourier Coeecients for G 2 (0)
- Singular and Supersingular Moduli (0)
- RESTRICTIONS OF REPRESENTATIONS OF CLASSICAL GROUPS: EXAMPLES WEE TECK GAN, BENEDICT H. GROSS AND DIPENDRA PRASAD (0)
- Fat Chance: Probability from 0 to 1 (0)
- On the periods of abelian varieties (0)
- A short note on S.-T. Yau (0)
- Integral Embeddings of Cubic Norm Structures (0)
- Minuscule embeddings (0)
- The road to GGP (0)
- Notation and conventions (0)
- Heegner Points on X ... (11) (0)
- The Q-curve A(p) (0)
- Memorial Article for John Tate (0)
- Topological Invariants of Real Algebraic Curves (0)
- Technique for interactively displaying a series of tomographic images: design and efficacy study (0)
- Correspondence between Bryan Birch and Benedict Gross (0)
- Equivalence Relations; Cosets; Examples (0)
- Lattices and Applications in Number Theory (0)
- Biographical Memoirs: Andrew Gleason (0)
- Congruence mod n (0)
- Two encounters with the p–adic Stark conjecture (0)
- Unramified Reciprocal Polynomials and Coxeter Decompositions (0)

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