JOB TITLE: Professor
RESEARCH AREA: Algebra
RESEARCH INTERESTS: Number Theory
SELECTED PUBLICATIONS:
- Computing Néron–Severi groups and cycle class groups, with D. Testa and R. van Luijk, Compositio Math. 151 (2015), 713–734.
- Undecidable problems: a sampler, pp. 211–241 in Interpreting Gödel: Critical essays, ed. J. Kennedy, Cambridge Univ. Press, 2014.
- Most odd degree hyperelliptic curves have only one rational point, with M. Stoll, Annals of Math. 180 (2014), no. 3, 1137–1166.
- p-adic interpolation of iterates, Bull. London Math. Soc. 46 (2014), no. 3, 525–527.
- 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.
- 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.
