Joseph H. Silverman

Joseph H. Silverman

Brown University

H-index: 56

North America-United States

About Joseph H. Silverman

Joseph H. Silverman, With an exceptional h-index of 56 and a recent h-index of 33 (since 2020), a distinguished researcher at Brown University, specializes in the field of Number theory, arithmetic dynamics, cryptography.

His recent articles reflect a diverse array of research interests and contributions to the field:

A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields

A Lehmer-type height lower bound for abelian surfaces over function fields

Canonical Heights on Abelian Varieties Lecture Notes for the Arizona Winter School March 2–6, 2024

Post-critically finite maps on ℙⁿ for ????≥ 2 are sparse

The size of semigroup orbits modulo primes

Propagation of Zariski Dense Orbits

Orbits on K3 surfaces of Markoff type

Multi-message multi-user signature aggregation

Joseph H. Silverman Information

University

Position

Professor of Mathematics

Citations(all)

29749

Citations(since 2020)

8582

Cited By

38117

hIndex(all)

56

hIndex(since 2020)

33

i10Index(all)

172

i10Index(since 2020)

98

Email

University Profile Page

Brown University

Google Scholar

View Google Scholar Profile

Joseph H. Silverman Skills & Research Interests

Number theory

arithmetic dynamics

cryptography

Top articles of Joseph H. Silverman

Title

Journal

Author(s)

Publication Date

A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields

arXiv preprint arXiv:2402.14771

Joseph H Silverman

2024/2/22

A Lehmer-type height lower bound for abelian surfaces over function fields

Transactions of the American Mathematical Society

Nicole Looper

Joseph Silverman

2024/3

Canonical Heights on Abelian Varieties Lecture Notes for the Arizona Winter School March 2–6, 2024

Lecture Notes for the Arizona Winter School

JOSEPH H SILVERMAN

2024/3/2

Post-critically finite maps on ℙⁿ for ????≥ 2 are sparse

Transactions of the American Mathematical Society

Patrick Ingram

Rohini Ramadas

Joseph Silverman

2023/5

The size of semigroup orbits modulo primes

Pacific Journal of Mathematics

Wade Hindes

Joseph H Silverman

2023/11/3

Propagation of Zariski Dense Orbits

arXiv preprint arXiv:2307.12097

Hector Pasten

Joseph H Silverman

2023/7/22

Orbits on K3 surfaces of Markoff type

Experimental Mathematics

Elena Fuchs

Matthew Litman

Joseph H Silverman

Austin Tran

2023/8/2

Multi-message multi-user signature aggregation

2022/12/1

A Heuristic Subexponential Algorithm to Find Paths in Markoff Graphs Over Finite Fields

arXiv preprint arXiv:2211.08511

Joseph H Silverman

2022/11/15

Abstract algebra: an integrated approach

Joseph H Silverman

2022/3/7

Survey lecture on arithmetic dynamics

Proc. Int. Cong. Math

Joseph H Silverman

2022

The distribution relation and inverse function theorem in arithmetic geometry

Journal of Number Theory

Yohsuke Matsuzawa

Joseph H Silverman

2021/9/1

Multiplicative dependence among iterated values of rational functions modulo finitely generated groups

International Mathematics Research Notices

Attila Bérczes

Alina Ostafe

Igor E Shparlinski

Joseph H Silverman

2021/6

Memorial Article for John Tate

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Karen Acquista

Joe Buhler

Dustin Clausen

John H Coates

Benedict H Gross

...

2021/5

A uniform quantitative Manin-Mumford theorem for curves over function fields

arXiv preprint arXiv:2101.11593

Nicole Looper

Joseph Silverman

Robert Wilms

2021/1/27

Homomorphic encryption

Jean-Pierre Hubaux

2023/4/27

Integrality properties of Böttcher coordinates for one-dimensional superattracting germs

Ergodic Theory and Dynamical Systems

Adriana Salerno

Joseph H Silverman

2020/1

An introduction to lattices, lattice reduction, and lattice-based cryptography

Lect. Notes PCMI Grad. Summer Sch

Joseph H Silverman

2020/7/6

A signature scheme from the finite field isomorphism problem

Journal of Mathematical Cryptology

Jeffrey Hoffstein

Joseph H Silverman

William Whyte

Zhenfei Zhang

2020/6/14

Erratum to On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties (J. reine angew. Math. 713 (2016), 21–48).

Journal für die Reine und Angewandte Mathematik

Shu Kawaguchi

Joseph H Silverman

2020/4/1

See List of Professors in Joseph H. Silverman University(Brown University)