Adam W. Marcus

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Adam Wade Marcus (* August 1979 ) is an American mathematician and computer scientist who specializes in combinatorics .

Marcus graduated from Washington University in St. Louis with a bachelor's degree in 2003 and received his PhD in 2008 with Prasad Telali at the Georgia Institute of Technology ( New combinatorial techniques for nonlinear orders ). During his studies he spent a year with Gábor Tardos at the Alfred Renyi Institute in Budapest and, in 2006, with Microsoft Research ( László Lovász ) and at Tel Aviv University ( Noga Alon ). As a post-graduate student , he was Gibbs Assistant Professor at Yale University for four years . He is chief scientist and co-founder of Crisply and does part-time research at Yale.

In 2004, Marcus and Gábor Tardos gave a brief proof of the Stanley-Wilf conjecture about permutations. For this he received the Dénes-Kőnig-Prize in 2008 . In 2013 he solved the Kadison-Singer problem with Daniel Spielman and Nikhil Srivastava (see Richard Kadison ), for which all three received the George Pólya Prize in 2014 .

In 2003/04 he was a Fulbright scholar.

Fonts

  • with Gábor Tardos: Excluded permutation matrices and the Stanley – Wilf conjecture . In: Journal of Combinatorial Theory, Series A . tape 107 , no. 1 , July 2004, p. 153-160 , doi : 10.1016 / j.jcta.2004.04.002 .
  • with Daniel A. Spielman, Nikhil Srivastava: Interlacing Families I: Bipartite Ramanujan Graphs of All Degrees . In: 2013 IEEE 54th Annual Symposium on Foundations of Computer Science (FOCS) . 2013, p. 529-537 , doi : 10.1109 / FOCS.2013.63 , arxiv : 1304.4132 .
  • with Daniel A. Spielman, Nikhil Srivastava: Interlacing families II: mixed characteristic polynomials and the Kadison-Singer problem. In: arXiv Mathematics - Combinatorics. 2013, arxiv : 1306.3969
  • with Daniel A. Spielman, Nikhil Srivastava: Ramanujan Graphs and the Solution of the Kadison-Singer Problem. In: arXiv Mathematics - Spectral Theory. 2014, arxiv : 1408.4421

Web links

Individual evidence

  1. ^ Adam W. Marcus in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Doron Zeilberger for proof of Marcus, Tardos