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Bjorn Poonen

Identifiers

  • name variant Bjorn Poonen 0.60 · backfill

Papers (59)

  1. Machine-Assisted Proofs (ICM 2018 Panel) math.HO · 2018 · author #2
  2. Heuristics for the arithmetic of elliptic curves math.NT · 2017 · author #1
  3. Using zeta functions to factor polynomials over finite fields math.NT · 2017 · author #1
  4. Unique factorization of principally polarized abelian varieties math.AG · 2016 · author #3
  5. Abelian varieties isogenous to a power of an elliptic curve math.AG · 2016 · author #3
  6. A heuristic for boundedness of ranks of elliptic curves math.NT · 2016 · author #2
  7. A Computable Functor From Graphs to Fields math.LO · 2015 · author #2
  8. Automorphisms of Harbater-Katz-Gabber curves math.AG · 2015 · author #3
  9. Why all rings should have a 1 math.RA · 2014 · author #1
  10. Bertini irreducibility theorems over finite fields math.AG · 2013 · author #2
  11. p-adic interpolation of iterates math.DS · 2013 · author #1
  12. Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves math.NT · 2013 · author #4
  13. Most odd degree hyperelliptic curves have only one rational point math.NT · 2013 · author #1
  14. Berkovich spaces embed in Euclidean spaces math.AG · 2012 · author #3
  15. Computing N\'eron-Severi groups and cycle class groups math.AG · 2012 · author #1
  16. Uniform boundedness of rational points and preperiodic points math.NT · 2012 · author #1
  17. Generalized explicit descent and its application to curves of genus 3 math.NT · 2012 · author #2
  18. Undecidable problems: a sampler math.LO · 2012 · author #1
  19. Average rank of elliptic curves math.NT · 2012 · author #1
  20. Self cup products and the theta characteristic torsor math.NT · 2011 · author #1
  21. Convergence of the restricted Nelder-Mead algorithm in two dimensions math.OC · 2011 · author #2
  22. Smooth hypersurface sections containing a given subscheme over a finite field math.AG · 2010 · author #1
  23. Random maximal isotropic subspaces and Selmer groups math.NT · 2010 · author #1
  24. Curves over every global field violating the local-global principle math.NT · 2009 · author #1
  25. Multivariable polynomial injections on rational numbers math.NT · 2009 · author #1
  26. Automorphisms mapping a point into a subvariety math.AG · 2009 · author #1
  27. Everywhere ramified towers of global function fields math.NT · 2008 · author #2
  28. Insufficiency of the Brauer-Manin obstruction applied to etale covers math.NT · 2008 · author #1
  29. The set of non-squares in a number field is diophantine math.NT · 2007 · author #1
  30. Existence of rational points on smooth projective varieties math.NT · 2007 · author #1
  31. The p-adic closure of a subgroup of rational points on a commutative algebraic group math.NT · 2007 · author #1
  32. Relations among modular points on elliptic curves math.NT · 2007 · author #2
  33. Characterizing integers among rational numbers with a universal-existential formula math.NT · 2007 · author #1
  34. The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields math.NT · 2006 · author #1
  35. The moduli space of commutative algebras of finite rank math.AG · 2006 · author #1
  36. First-order definitions in function fields over anti-Mordellic fields math.NT · 2006 · author #1
  37. Gonality of modular curves in characteristic p math.AG · 2006 · author #1
  38. Twists of X(7) and primitive solutions to x^2+y^3=z^7 math.NT · 2005 · author #1
  39. Uniform first-order definitions in finitely generated fields math.NT · 2005 · author #1
  40. Heuristics for the Brauer-Manin obstruction for curves math.NT · 2005 · author #1
  41. Diophantine definability of infinite discrete non-archimedean sets and Diophantine models over large subrings of number fields math.NT · 2004 · author #1
  42. Orbits of automorphism groups of fields math.AC · 2004 · author #2
  43. The conjugate dimension of algebraic numbers math.NT · 2003 · author #4
  44. Hilbert's Tenth Problem and Mazur's Conjecture for large subrings of Q math.NT · 2003 · author #1
  45. Finiteness results for modular curves of genus at least 2 math.NT · 2002 · author #4
  46. Curves of every genus with many points, II: Asymptotically good families math.AG · 2002 · author #4
  47. The Grothendieck ring of varieties is not a domain math.AG · 2002 · author #1
  48. Bertini theorems over finite fields math.AG · 2002 · author #1
  49. Using elliptic curves of rank one towards the undecidability of Hilbert's Tenth Problem over rings of algebraic integers math.NT · 2002 · author #1
  50. Squarefree values of multivariable polynomials math.NT · 2002 · author #1
  51. Random polynomials having few or no real zeros math.PR · 2000 · author #2
  52. The Cassels-Tate pairing on polarized abelian varieties math.NT · 1999 · author #1
  53. Algebraic families of nonzero elements of Shafarevich-Tate groups math.NT · 1999 · author #2
  54. Large torsion subgroups of split Jacobians of curves of genus two or three math.NT · 1998 · author #3
  55. The Complete Classification of Rational Preperiodic Points of Quadratic Polynomials over Q: A Refined Conjecture math.NT · 1995 · author #1
  56. Cycles of Quadratic Polynomials and Rational Points on a Genus-Two Curve math.NT · 1995 · author #2
  57. The Number of Intersection Points Made by the Diagonals of a Regular Polygon math.MG · 1995 · author #1
  58. Fractional Power Series and Pairings on Drinfeld Modules math.NT · 1995 · author #1
  59. Torsion in Rank-1 Drinfeld Modules and the Uniform Boundedness Conjecture math.NT · 1995 · author #1

Mentions

  • 1307.5887 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1304.3971 #4 · backfill · confidence 0.70 Bjorn Poonen
  • 1302.0061 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1210.6485 #3 · backfill · confidence 0.70 Bjorn Poonen
  • 1210.3720 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1206.7104 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1205.4456 #2 · backfill · confidence 0.70 Bjorn Poonen
  • 1204.0299 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1203.0809 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1104.2105 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1104.0350 #2 · backfill · confidence 0.70 Bjorn Poonen
  • 1012.0628 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 1009.0287 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0902.3965 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0902.3961 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0902.3571 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0810.2842 #2 · backfill · confidence 0.70 Bjorn Poonen
  • 0806.1312 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0712.1785 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0712.1782 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0711.5028 #1 · backfill · confidence 0.70 Bjorn Poonen
  • 0706.0566 #2 · backfill · confidence 0.70 Bjorn Poonen

Frequent Coauthors