Bjorn Poonen

Massachusetts Institute of Technology — United States

Mathematics · Physical Sciences

33h-index2.9kcitations199works0.02yr avg
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Research Topics

Algebraic Geometry and Number Theory(96), Advanced Algebra and Geometry(29), Polynomial and algebraic computation(25), Coding theory and cryptography(22), Geometric and Algebraic Topology(20)

Publications199 total

Rank stability makes rings of integers diophantine
arXiv (Cornell University)·2025Open Access
Irreducibility of Littlewood Polynomials of Special Degrees
International Mathematics Research Notices·2025Open Access
Curve equations from expansions of 1-forms at a nonrational point
ArXiv.org·2025Open Access
Abelian varieties of prescribed order over finite fields
Mathematische Annalen·2025Open Access
Explicit Methods in Number Theory
Oberwolfach Reports·2025Open Access
Brauer–Manin obstructions requiring arbitrarily many Brauer classes
Bulletin of the London Mathematical Society·2024Open Access
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
arXiv (Cornell University)·2023Open Access
Obstructions to applying the Baker--Bilu method for determining integral points on curves
arXiv (Cornell University)·2023Open Access
Computing Rational Points on Curves
2023· 16 cited
Explicit Methods in Number Theory
Oberwolfach Reports·2022
The local-global principle for integral points on stacky curves
Journal of Algebraic Geometry·2022· 5 cited
The proportion of derangements characterizes the symmetric and alternating groups
Bulletin of the London Mathematical Society·2022Open Access
Introduction to Drinfeld modules
Contemporary mathematics - American Mathematical Society·2022· 3 cited
Lattices in Tate modules
Proceedings of the National Academy of Sciences·2021Open Access
The proportion of derangements characterizes the symmetric and alternating groups
arXiv (Cornell University)·2021Open Access
The proportion of derangements characterizes the symmetric group
arXiv (Cornell University)·2021Open Access
Abelian varieties of prescribed order over finite fields
arXiv (Cornell University)·2021· 4 citedOpen Access
Linear independence in linear systems on elliptic curves
Apollo (University of Cambridge)·2021Open Access
Arithmetic Geometry, Number Theory, and Computation
Simons symposia·2021· 3 cited
The S-Integral Points on the Projective Line Minus Three Points via Finite Covers and Skolem’s Method
Simons symposia·2021· 1 cited
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Frequent Co-authors

Michael Stoll(2), Edward F. Schaefer(2), Everett W. Howe(2), Fernando Rodriguez-Villegas(2), Michael Rubinstein(2), José Felipe Voloch(2), A.R. Calderbank(2), Eric M. Rains(2), Ravi Vakil(2), Franck Leprévost(1), E. V. Flynn(1), Leopold Flatto(1), Jeffrey C. Lagarias(1), Matthew Baker(1), Enrique González–Jiménez(1), Josep González(1), Amir Dembo(1), Qi-Man Shao(1), Ofer Zeitouni(1), Davesh Maulik(1)