2026 Joseph H. Silverman: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	57	663	563	332	263	246	26943

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

663

563

332

263

246

26943

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
1998 - Fellow of John Simon Guggenheim Memorial Foundation
1998 - Steele Prize for Mathematical Exposition

Overview

Joseph H. Silverman is affiliated with Brown University in the United States. Their research spans several areas within mathematics and computer science, with a particular focus on algebraic geometry, number theory, and cryptography.

The main fields of study for Silverman include:

Mathematics
Computer Science

Their work delves into multiple subfields, including:

Geometry and Topology
Artificial Intelligence
Computational Theory and Mathematics
Mathematical Physics
Discrete Mathematics and Combinatorics

Silverman's research topics prominently cover:

Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Coding theory and cryptography
Analytic Number Theory Research
Advanced Algebra and Geometry
Finite Group Theory Research
Cryptography and Residue Arithmetic

Frequent co-authors in Silverman's publications include:

Nicole Looper
Matthew Litman
Austin Tran
Wade Hindes
Yohsuke Matsuzawa

The venues where Silverman has published works multiple times encompass:

arXiv (Cornell University)
Journal of Number Theory
Transactions of the American Mathematical Society
Experimental Mathematics
Pacific Journal of Mathematics

Recent papers by Silverman and those closely associated with their research include:

"Orbits on K3 Surfaces of Markoff Type" (2023), Experimental Mathematics
"The distribution relation and inverse function theorem in arithmetic geometry" (2021), Journal of Number Theory
"The size of semigroup orbits modulo primes" (2023), Pacific Journal of Mathematics
"A signature scheme from the finite field isomorphism problem" (2020), DOAJ (DOAJ: Directory of Open Access Journals)
"A Lehmer-type lower bound for the canonical height on elliptic curves over function fields" (2024), Journal of Number Theory

Silverman has been recognized with multiple awards, including:

Fellow of the American Mathematical Society (2013)
Fellow of John Simon Guggenheim Memorial Foundation (1998)
Steele Prize for Mathematical Exposition (1998)

Best Publications

The Arithmetic of Elliptic Curves

Joseph H. Silverman

8739
Citations
Advanced Topics in the Arithmetic of Elliptic Curves

Joseph H. Silverman

2694
Citations
NTRU: A Ring-Based Public Key Cryptosystem

Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

2633
Citations
Rational Points on Elliptic Curves

Joseph H. Silverman;John T. Tate

1426
Citations
Diophantine Geometry: An Introduction

Marc Hindry;Joseph H. Silverman

901
Citations
An introduction to mathematical cryptography

Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

890
Citations
The Arithmetic of Dynamical Systems

Joseph H. Silverman

829
Citations
NTRUSign: digital signatures using the NTRU lattice

Jeffrey Hoffstein;Nick Howgrave-Graham;Jill Pipher;Joseph H. Silverman

406
Citations
A Friendly Introduction to Number Theory

Joseph H. Silverman

353
Citations
Canonical heights on varieties with morphisms

Gregory S. Call;Joseph H. Silverman

306
Citations
Wieferich's criterion and the abc-conjecture

Joseph H. Silverman

266
Citations
The canonical height and integral points on elliptic curves

M. Hindry;J. H. Silverman

224
Citations
Heights and the specialization map for families of abelian varieties.

Joseph H. Silverman

222
Citations
Modular Forms and Fermat's Last Theorem

Gary Cornell;Joseph H. Silverman;Glenn Stevens

222
Citations
NSS: An NTRU Lattice-Based Signature Scheme

Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

221
Citations
The space of rational maps on $\mathbb{P}^1$

Joseph H. Silverman

200
Citations
Rational periodic points of rational functions

Patrick Morton;Joseph H. Silverman

192
Citations
The Impact of Decryption Failures on the Security of NTRU Encryption

Nick Howgrave-Graham;Phong Q. Nguyen;David Pointcheval;John Proos

190
Citations
The difference between the Weil height and the canonical height on elliptic curves

Joseph H. Silverman

177
Citations
Ring-based public key cryptosystem method

Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

175
Citations

Frequent Co-Authors

Jill Pipher Brown University

John Tate Harvard University

Igor E. Shparlinski University of New South Wales

Nigel P. Smart KU Leuven

Douglas B. West University of Illinois at Urbana-Champaign

Phong Q. Nguyen French Institute for Research in Computer Science and Automation - INRIA

Frederik Vercauteren KU Leuven

David Pointcheval École Normale Supérieure

Neal Koblitz University of Washington

Berk Sunar Worcester Polytechnic Institute

External Links

Wikipedia of Joseph H. Silverman Personal website of Joseph H. Silverman Google Scholar page

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