Why Is Benedict Gross Influential?
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
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
1960 1970 1980 1990 2000 2010 2020 0 100 200 300 400 500 600 700 800 900 1000 Published Papers 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) More Papers This paper list is powered by the following services:
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