Bjorn Poonen

JOB TITLE: Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Number Theory

PhD students

SELECTED PUBLICATIONS: 

1.  Computing Néron–Severi groups and cycle class groups, with D. Testa and R. van Luijk, Compositio Math. 151  (2015), 713–734.
2.   Undecidable problems: a sampler, pp. 211–241 in Interpreting Gödel: Critical essays, ed. J. Kennedy, Cambridge Univ. Press, 2014.
3.  Most odd degree hyperelliptic curves have only one rational point, with M. Stoll, Annals of Math. 180 (2014), no. 3, 1137–1166.
4.  p-adic interpolation of iterates, Bull. London Math. Soc. 46 (2014), no. 3, 525–527.
5. Average rank of elliptic curves (after Manjul Bhargava and Arul Shankar), Séminaire Bourbaki, Vol. 2011/2012, Exposés 1043-1058, Astérisque 352 (2013), Exp. No. 1049, 187–204.
6.  The method of Chabauty and Coleman, with W. McCallum, pp. 99–117 in: Explicit methods in number theory; rational points and diophantine equations, Panoramas et Synthèses 36, Société Math. de France, 2012.