Jeffrey Hoffstein

Jeffrey Hoffstein's AcademicInfluence.com Rankings

Jeffrey Hoffstein

Mathematics

#1784

World Rank

#2855

Historical Rank

#729

USA Rank

Measure Theory

#3438

World Rank

#4056

Historical Rank

#993

USA Rank

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Mathematics

Why Is Jeffrey Hoffstein Influential?

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According to Wikipedia, Jeffrey Ezra Hoffstein is an American mathematician, specializing in number theory, automorphic forms, and cryptography. Education and career Hoffstein graduated with a bachelor's degree in 1974 from Cornell University. He received his Ph.D. in 1978 from Massachusetts Institute of Technology with thesis Class numbers of totally complex quadratic extensions of totally real fields under the supervision of Harold Stark. Hoffstein was a postdoc at the Institute for Advanced Study and then at the University of Cambridge. From 1980 to 1982 he was an assistant professor at Brown University. From 1982 he was an assistant professor and then an associate professor at the University of Rochester. Since 1989 he is a full professor at Brown University and he was from 2009 to 2013 the chair of the mathematics department there.

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Jeffrey Hoffstein'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

NTRU: A Ring-Based Public Key Cryptosystem (1998) (1654)
NTRUSIGN: Digital Signatures Using the NTRU Lattice (2003) (279)
An introduction to mathematical cryptography (2008) (228)
Coefficient of Maass forms and the Siegel zero (with an Appendix by Dorian Goldfeld, Jeffrey Hoffstein, and Daniel Lieman) (1994) (214)
Falcon: Fast-Fourier Lattice-based Compact Signatures over NTRU (2019) (193)
Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series (1985) (165)
Nonvanishing theorems for L-functions of modular forms and their derivatives (1990) (164)
Multiple Dirichlet Series and Moments of Zeta and L-Functions (2001) (155)
Nonvanishing theorems for automorphic L-functions on GL(2) (1995) (138)
NSS: An NTRU Lattice-Based Signature Scheme (2001) (132)
Choosing Parameters for NTRUEncrypt (2017) (124)
Siegel zeros and cusp forms (1995) (122)
Optimizations for NTRU (2001) (107)
Choosing NTRUEncrypt Parameters in Light of Combined Lattice Reduction and MITM Approaches (2009) (101)
Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives (1990) (70)
Homomorphic Encryption Standard (2019) (66)
A sodium requirement for growth, solute transport, and pH homeostasis in Bacillus firmus RAB. (1982) (64)
On some applications of automorphic forms to number theory (1996) (63)
Random small Hamming weight products with applications to cryptography (2003) (60)
Average values of L-series in function fields. (1992) (59)
SECURITY OF HOMOMORPHIC ENCRYPTION (2017) (58)
Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar (2007) (58)
Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign (2010) (56)
Appendix: An Effective Zero-Free Region (1994) (50)
An estimate for the hecke eigenvalues of maass forms (1992) (48)
Double Dirichlet series and the n-th order twists of Hecke L-series (2003) (42)
Polynomial Rings and Efficient Public Key Authentication II (2001) (42)
Practical Signatures from the Partial Fourier Recovery Problem (2014) (41)
Multiple Dirichlet Series and Shifted Convolutions (2011) (38)
On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves (1982) (38)
$p$-adic Whittaker functions on the metaplectic group (1991) (37)
Ntru: a Public Key Cryptosystem (1999) (33)
Some analytic bounds for zeta functions and class numbers (1979) (31)
Eisenstein series and theta functions on the metaplectic group (1993) (30)
On Shimura’s correspondence (1987) (29)
On the Siegel-Tatuzawa theorem (1980) (29)
Performance Improvements and a Baseline Parameter Generation Algorithm for NTRUSign (2005) (28)
Transcript Secure Signatures Based on Modular Lattices (2014) (28)
A nonvanishing theorem for derivatives of automorphic $L$-functions with applications to elliptic curves (1989) (26)
IEEE P1363.1 Draft 10: Draft Standard for Public Key Cryptographic Techniques Based on Hard Problems over Lattices. (2008) (24)
SUMS OF TWISTED GL ( 3 ) AUTOMORPHIC L-FUNCTIONS (2003) (24)
Determining modular forms on $${SL_2(\mathbb{Z})}$$ by central values of convolution L-functions (2009) (23)
The Distribution of the Quadratic Symbol in Function Fields and a Faster Mathematical Stream Cipher (2001) (20)
Cubic twists of GL(2) automorphic L-functions (2005) (19)
Cubic metaplectic forms onGL (3) (1986) (18)
Proceedings of Symposia in Pure Mathematics Multiple Dirichlet Series and Automorphic Forms (2005) (17)
A signature scheme from Learning with Truncation (2017) (16)
Theta functions on then-fold metaplectic cover of SL(2)—the function field case (1992) (16)
Protecting NTRU Against Chosen Ciphertext and Reaction Attacks (2000) (16)
Some conjectured relationships between theta functions and eisenstein series on the metaplectic group (1989) (15)
Fully Homomorphic Encryption from the Finite Field Isomorphism Problem (2018) (15)
On estimating the lattice security of NTRU (2005) (15)
The symmetric cube (1996) (14)
Some Euler products associated with cubic metaplectic forms on $\mathrm {GL}(3)$ (1986) (14)
NSS : The NTRU Signature Scheme (2000) (13)
The first non-vanishing quadratic twist of an automorphic L-series (2010) (12)
L-series of automorphic forms on GL(3,R) (1989) (12)
Asymptotics for sums of twisted L-functions and applications (2005) (12)
MMSAT: A Scheme for Multimessage Multiuser Signature Aggregation (2020) (12)
Nonvanishing of $L$-Series and the combinatorial sieve (1997) (11)
Version 2 Title : Enhanced Encoding and Verification Methods for the NTRU Signature Scheme (2001) (11)
Additive twists and a conjecture by Mazur, Rubin and Stein (2020) (11)
Second Moments and simultaneous non-vanishing of GL(2) automorphic L-series (2013) (10)
Nonvanishing twists of GL(2) automorphic L-functions (2004) (8)
Modular lattice signatures, revisited (2019) (7)
Double Dirichlet Series and Theta Functions (2012) (7)
On Artin’s conjecture and the class number of certain $CM$ fields, I (1989) (7)
The NTRU Signature Scheme : Theory and Practice (2001) (6)
MiniPASS: Authentication and Digital Signatures in a Constrained Environment (2000) (6)
Automorphic Forms and Sums of Squares over Function Fields (1999) (6)
Elliptic Curves and Cryptography (2014) (6)
Real zeros of Eisenstein series (1982) (6)
The effects of elevated CO2 atmospheres on the shelf-life of freshwater crawfish (Procambaris clarkii) tail meat (1989) (5)
Chapter 11 Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign (2010) (5)
Second moments of Rankin-Selberg convolution and shifted Dirichlet series (2020) (4)
The Kubota symbol for Sp(4, Q(i)) (1990) (4)
PASS-Encrypt: a public key cryptosystem based on partial evaluation of polynomials (2015) (3)
Shifted convolutions and a conjecture by Mazur, Rubin and Stein (2018) (3)
First moments of Rankin-Selberg convolution of Automorphic Forms on $GL(2)$. (2020) (3)
A signature scheme from the finite field isomorphism problem (2020) (3)
Some results related to minimal discriminants (1979) (3)
An Introduction to Cryptography (2014) (2)
Metaplectic Eisenstein Series on GL(3) (2006) (2)
Fourier coefficients of sextic theta series (2013) (1)
Coefficients of the n-Fold Theta Function and Weyl Group Multiple Dirichlet Series (2012) (1)
Non‐vanishing of symmetric cube L$L$ ‐functions (2021) (1)
Discrete Logarithms and Diffie Hellman (2014) (1)
Mathematische Annalen Double Dirichlet series and the nth order twists of Hecke L-series (1)
Lattices and Cryptography (2014) (1)
Shifted Multiple Dirichlet Series (2014) (1)
First moments of Rankin–Selberg convolutions of automorphic forms on $${{\,\mathrm{GL}\,}}(2)$$ (2021) (1)
PASS-Encrypt: a public key cryptosystem based on partial evaluation of polynomials (2015) (0)
Review of the Book " an Introduction to Mathematical Cryptography " 3 Main Review (0)
Research on Image Reversible Double Watermarking Algorithm in Ciphertext Domain Based on NTRU (2022) (0)
CONFERENCE ON “AUTOMORPHIC FORMS ON METAPLECTIC FORMS AND RELATED TOPICS ” IISER PUNE (2016) (0)
Mathematics (2020) (0)
NSS : A Lattice-Based Signature Scheme (2001) (0)
DA-Encrypt: Homomorphic Encryption via Non-Archimedean Diophantine Approximation - Preliminary Report (2015) (0)
N T ] 1 S ep 2 02 0 FIRST MOMENTS OF RANKIN-SELBERG CONVOLUTIONS OF AUTOMORPHIC FORMS ON GL ( 2 ) (2020) (0)
A cryptographic method and device public key (1997) (0)
Lynne Heather Walling (1958–2021) (2023) (0)
N T ] 1 S ep 2 02 0 SECOND MOMENTS OF RANKIN-SELBERG CONVOLUTIONS AND SHIFTED DIRICHLET SERIES (2020) (0)
Random Small Hamming Weight Products 3 1 Low Hamming Weight Exponents (2001) (0)
Integer Factorization and RSA (2014) (0)
Modular lattice signatures, revisited (2019) (0)
Additional Topics in Cryptography (2014) (0)
Combinatorics, Probability, and Information Theory (2014) (0)

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Jeffrey Hoffstein's Academic­Influence.com Rankings