Jeffrey Hoffstein

About

Jeffrey Hoffstein is a professor in the Department of Mathematics at Brown University, with research interests spanning number theory, automorphic forms, and cryptography. His extensive work includes contributions to the development of cryptographic schemes such as NTRUEncrypt and NTRUSign, which are based on lattice theory, as well as research on automorphic L-series, multiple Dirichlet series, and theta functions. Hoffstein has authored numerous publications in these fields, advancing the understanding of automorphic forms, L-functions, and their applications to number theory and cryptography. His work is characterized by a focus on the intersection of pure mathematics and practical cryptographic applications, contributing significantly to both theoretical and applied aspects of modern mathematics.

Research topics

• Computer Science
• Mathematics
• Geometry
• Pure mathematics
• Mathematical analysis
• Algorithm
• Physics
• History

Selected publications

• Choosing Parameters for NTRUEncrypt

  Lecture notes in computer science · 2017-01-01 · 98 citations

  book-chapter1st authorCorresponding
  PublisherDOI

• Multiple Dirichlet series and shifted convolutions

  Journal of Number Theory · 2015-11-04 · 29 citations

  article1st authorCorresponding
  PublisherDOI

• Fully Homomorphic Encryption from the Finite Field Isomorphism Problem

  Lecture notes in computer science · 2018-01-01 · 19 citations

  book-chapter
  PublisherDOI

• Additive twists and a conjecture by Mazur, Rubin and Stein

  Journal of Number Theory · 2019-12-17 · 12 citations

  articleOpen access
  PublisherOA PDFDOI

• MMSAT: A Scheme for Multimessage Multiuser Signature Aggregation.

  IACR Cryptology ePrint Archive · 2020 · 11 citations

  Publisher

Recent grants

• FRG: Collaborative Research: Combinatorial representation theory, multiple Dirichlet series and moments of L-functions.

  NSF · $225k · 2007–2012

• Collaborative Research: FRG: Applications of Multiple Dirichlet Series to Analytic Number Theory

  NSF · $319k · 2004–2008

• TWC: Medium: Collaborative: Development and Evaluation of Next Generation Homomorphic Encryption Schemes

  NSF · $358k · 2016–2019

Frequent coauthors

• Joseph H. Silverman

  71 shared

• Jill Pipher

  69 shared

• William Whyte

  Qualcomm (United States)

  25 shared

• Daniel Bump

  23 shared

• Solomon Friedberg

  Boston College

  21 shared

• Min Lee

  20 shared

• Samuel Dickman

  Planned Parenthood

  16 shared

• Michelle Manes

  American Institute of Mathematics

  16 shared

Labs

• AlgebraPI

Similar researchers at Brown University

• Brendan Hassetth-34