Mircea Mustață

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Mircea Immanuel Mustață (* 1971 in Romania ) is a Romanian mathematician who deals with algebraic geometry .

Life

Mustață studied in Bucharest (intermediate diploma 1995, diploma 1996) and received his doctorate (Singularities and Jet Schemes) with David Eisenbud at the University of California, Berkeley . As a post-doctoral student he was at the University of Nice (Sophia Antipolis), the Isaac Newton Institute (2002) and Harvard University . In 2004 he became an Associate Professor and in 2008 Professor at the University of Michigan .

In 2006 he was at the Institute for Advanced Study .

In 2004 he was a lecturer at the European Congress of Mathematicians in Stockholm and in 2006 at the International Congress of Mathematicians in Madrid (Invariants of singularities of pairs, with Lawrence Ein ). He was a Clay Research Fellow from 2001 to 2004 and a Packard Fellow from 2006.

It deals with singularities algebraic varieties and associated, they characterizing invariants as Minimal log discrepancies ( minimal log discrepancies ), log canonical thresholds ( log canonical tresholds ) Multiplier ideals , Bernstein-Sato polynomials , F thresholds (f-tresholds ). He also deals with birational geometry , asymptotic base loci, and divisor invariants of toric varieties .

Fonts

  • with Lawrence Ein: Invariants of singularities of pairs, ICM 2006, Arxiv
  • with Lawrence Ein, Robert Lazarsfeld , Michael Nakamaye, Mihnea Popa : Asymptotic invariants of base loci, Ann. Inst. Fourier (Grenoble), Vol. 56, 2006, pp. 1701-1734. Arxiv
  • with Lawrence Ein: Jet schemes and singularities, Proc. AMS Summer School Algebraic Geometry 2005, Arxiv
  • with Nero Budur, Morihiko Saito: Bernstein-Sato polynomials of arbitrary varieties, Compos. Math., Vol. 142, 2006, pp. 779-797. Arxiv
  • with Sam Payne: Ehrhart polynomials and stringy Betti numbers, Math. Ann., Volume 333, 2005, pp. 787-795. Arxiv
  • with Shunsuke Takagi, Kei-ichi Watanabe: F-thresholds and Bernstein-Sato polynomials, European Congress of Mathematics, Eur. Math. Soc., Zurich, 2005, pp. 341–364, Arxiv
  • with Lawrence Ein: Inversion of adjunction for local complete inter-section varieties, Amer. J. Math., Vol. 126, 2004, pp. 1355-1365.
  • with Mihnea Popa: Hodge Ideals, Arxiv 2016

Web links

Individual evidence

  1. Mircea Mustață in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used