Miguel Walsh

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Miguel Nicolás Walsh (* 1987 in Buenos Aires ) is an Argentine mathematician who deals with number theory and ergodic theory.

Walsh, a great-nephew of the journalist and writer Rodolfo Walsh who disappeared (murdered) during the end of the military dictatorship in Argentina , grew up in Almagro (Buenos Aires) and attended the Escuela Argentina Modelo in Palermo (Buenos Aires) . He studied mathematics at the University of Buenos Aires with a licentiate in 2010 and received his doctorate there in 2012 with Román Sasyk . During this time he was a fellow of the Argentine national research council Conicet (Consejo Nacional de Investigaciones Científicas y Técnicas). He was a post-doctoral student at Oxford University and a 2014 Special Fellow at Merton College, Oxford.

He deals with analytical number theory , inverse problems in arithmetic combinatorics, estimating the number of rational points on algebraic curves and the asymptotic behavior of ergodic means.

In 2013 he received the MCA Prize (Mathematical Congress of the Americas) and in 2014 he received the ICTP Ramanujan Prize . In 2014 he became a Clay Research Fellow. In 2018 he is invited speaker at the ICM.

Fonts

  • Bounded rational points on curves , Preprint 2013, Arxiv
  • The algebraicity of ill-distributed sets , Geometric and Functional Analysis, Volume 24, 2014, pp. 959-967, Arxiv
  • Norm convergence of nilpotent ergodic averages , Annals of Mathematics, Volume 175, 2012, pp. 1667–1688, Arxiv
  • The inverse sieve problem in high dimensions , Duke Mathematical Journal, Volume 161, 2012, pp. 2001-2022, Arxiv

Web links

References and comments

  1. ^ Walsh's ergodic theorem, metastability, and external Cauchy convergence, Terence Tao's blog on Walsh's ergodic theorem, October 25, 2012
  2. ^ Clay Research Institute