World's Best Scientists 2026 revealed!
Bjorn Poonen

Bjorn Poonen

D-Index & Metrics

Mathematics

D-Index
44
Citations
5534
World Ranking
1629
National Ranking
697

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Fellow of the American Academy of Arts and Sciences
  • 2011 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1998 - Fellow of Alfred P. Sloan Foundation

Overview

Bjorn Poonen is affiliated with MIT in the United States and has contributed extensively to the field of mathematics, with a particular focus on algebraic geometry and number theory. Their research spans multiple subfields, including geometry and topology, discrete mathematics and combinatorics, computational theory and mathematics, mathematical physics, and algebra and number theory.

The scientist's main topics of study include:

  • Algebraic Geometry and Number Theory
  • Finite Group Theory Research
  • Coding theory and cryptography
  • Algebraic structures and combinatorial models
  • Polynomial and algebraic computation
  • Mathematics and Applications
  • History and Theory of Mathematics

Key recent publications by Bjorn Poonen include:

  • "The local-global principle for integral points on stacky curves" (2022, Journal of Algebraic Geometry)
  • "Abelian varieties of prescribed order over finite fields" (2021, arXiv (Cornell University))
  • "Space vectors forming rational angles" (2020, arXiv (Cornell University))
  • "Introduction to Drinfeld modules" (2022, Contemporary mathematics - American Mathematical Society)
  • "A $p$-adic approach to rational points on curves" (2020, Bulletin of the American Mathematical Society)

Frequent co-authors in their work are:

  • Edgar Costa
  • Raymond van Bommel
  • Andrew V. Sutherland
  • Manjul Bhargava
  • Wanlin Li

Bjorn Poonen has published mainly in the following venues:

  • arXiv (Cornell University)
  • Bulletin of the London Mathematical Society
  • Oberwolfach Reports
  • Journal of Algebraic Geometry
  • Contemporary mathematics - American Mathematical Society

In addition to journal articles, Bjorn Poonen has also contributed to book publications, including a title published by Springer International Publishing: Arithmetic Geometry, Number Theory, and Computation (2021).

Their academic recognition includes fellowships awarded by various institutions:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2012)
  • Fellow of John Simon Guggenheim Memorial Foundation (2011)
  • Fellow of Alfred P. Sloan Foundation (1998)

Best Publications

  • Rational Points on Varieties

    Bjorn Poonen

  • Bertini theorems over finite fields

    Bjorn Poonen

  • The Cassels-Tate pairing on polarized abelian varieties

    Bjorn Poonen;Michael Stoll

  • Cycles of quadratic polynomials and rational points on a genus-$2$ curve

    E. V. Flynn;Bjorn Poonen;Edward F. Schaefer

  • EXPLICIT DESCENT FOR JACOBIANS OF CYCLIC COVERS OF THE PROJECTIVE LINE

    Bjorn Poonen;Edward F. Schaefer

  • Large torsion subgroups of split Jacobians of curves of genus two or three

    Everett W. Howe;Franck Leprevost;Bjorn Poonen

  • The Grothendieck ring of varieties is not a domain

    Bjorn Poonen

  • Twists of X(7) and primitive solutions to x^2+y^3=z^7

    Bjorn Poonen;Edward F. Schaefer;Michael Stoll

  • Random maximal isotropic subspaces and Selmer groups

    Bjorn Poonen;Eric M. Rains

  • Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves

    Manjul Bhargava;Daniel M. Kane;Hendrik W. Lenstra;Bjorn Poonen

  • Squarefree values of multivariable polynomials

    Bjorn Poonen

  • The classification of rational preperiodic points of quadratic polynomials over ${\Bbb Q}$ : a refined conjecture

    Bjorn Poonen

  • Local height functions and the Mordell-Weil theorem for Drinfeld modules

    Bjorn Poonen

  • Some diophantine equations of the form x n +y n = z m

    Bjorn Poonen

  • Hilbert's Tenth Problem and Mazur's Conjecture for large subrings of $\mathbb{Q}$

    Bjorn Poonen

  • Lattice Polygons and the Number 12

    Bjorn Poonen;Fernando Rodriguez-Villegas

  • Explicit descent for Jacobians of cyclic coevers of the projective line.

    Bjorn Poonen;Edward F. Schaefer

  • The zeta function of the beta transformation

    Leopold Flatto;Jeffrey C. Lagarias;Bjorn Poonen

  • Random polynomials having few or no real zeros

    Amir Dembo;Bjorn Poonen;Qi-Man Shao;Qi-Man Shao;Ofer Zeitouni

  • The Number of Intersection Points Made by the Diagonals of a Regular Polygon

    Bjorn Poonen;Bjorn Poonen;Michael Rubinstein

  • Heuristics for the Brauer–Manin Obstruction for Curves

    Bjorn Poonen

  • Cycles of Quadratic Polynomials and Rational Points on a Genus-Two Curve

    E. V. Flynn;Bjorn Poonen;Edward F. Schaefer

Frequent Co-Authors

Edward G. Coffman
Edward G. Coffman Columbia University
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
Eric M. Rains
Eric M. Rains California Institute of Technology
Qi-Man Shao
Qi-Man Shao Chinese University of Hong Kong
Kiran S. Kedlaya
Kiran S. Kedlaya University of California, San Diego
Andrew Granville
Andrew Granville University of Montreal
Amir Dembo
Amir Dembo Stanford University
Hendrik W. Lenstra
Hendrik W. Lenstra Leiden University
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Margaret H. Wright
Margaret H. Wright New York University

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