Mircea Mustață

Mircea Immanuel Mustață (born 1971 in Romania) is a Romanian-American mathematician, specializing in algebraic geometry.

Mustață received from the University of Bucharest a bachelor's degree in 1995 and a master's degree in 1996[1] and from the University of California, Berkeley a Ph.D. in 2001 with thesis advisor David Eisenbud and thesis Singularities and Jet Schemes.[2] As a postdoc he was at the University of Nice Sophia Antipolis (Fall 2001), at the Isaac Newton Institute (Spring 2002), and at Harvard University (2002–2004); he was from 2001 to 2004 a Clay Research Fellow. At the University of Michigan in Ann Arbor he became in 2004 an associate professor and in 2008 a full professor.[1]

In fall 2006, he was at the Institute for Advanced Study.[3] From 2006 to 2011 he held a five-year Packard Fellowship.[1]

Mustață was an invited speaker at the European Mathematical Congress in 2004 Stockholm and at the International Congress of Mathematicians in 2014 in Seoul.[4]

His research deals with a wide range of topics in algebraic geometry, including:

various invariants of singularities of algebraic varieties, such as minimal log discrepancies, log canonical thresholds, multiplier ideals, Bernstein–Sato polynomials and F-thresholds ... resolutions of singularities, jet schemes, D-modules or positive characteristic methods ... birational geometry, asymptotic base loci and invariants of divisors, and toric varieties.[5]

Mustață's doctoral students include June Huh.[2]

Selected publications
  • Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea (2006). "Asymptotic invariants of base loci". Annales de l'Institut Fourier. 56: 1701–1734. arXiv:math/0308116. Bibcode:2003math......8116E. doi:10.5802/aif.2225.
  • Ein, Lawrence; Mustaţă, Mircea (2009). "Jet schemes and singularities". Algebraic geometry—Seattle 2005. Part 2. Proceedings of Symposia in Pure Mathematics. 80. Providence, RI: American Mathematical Society. pp. 505–546. arXiv:math/0612862. doi:10.1090/pspum/080.2/2483946. MR 2483946.
  • Budur, Nero; Mustaţă, Mircea; Saito, Morihiko (2006). "Bernstein-Sato polynomials of arbitrary varieties". Compositio Mathematica. 142: 779–797. arXiv:math/0408408. Bibcode:2004math......8408B. doi:10.1112/s0010437x06002193.
  • Mustaţă, Mircea; Payne, Sam (2005). "Ehrhart polynomials and stringy Betti numbers". Mathematische Annalen. 333 (4): 787–795. arXiv:math/0504486. Bibcode:2005math......4486M. doi:10.1007/s00208-005-0691-x.
  • Mustaţă, Mircea; Takagi, Shunsuke; Watanabe, Kei-ichi (2004). "F-thresholds and Bernstein-Sato polynomials". In Laptev, Ari (ed.). European Congress of Mathematics: Stockholm, June 27-July 2, 2004. European Mathematical Society. p. 341–364. arXiv:math/0411170. Bibcode:2004math.....11170M. ISBN 978-3-03719-009-8.
  • Ein, Lawrence; Mustaţǎ, Mircea (2004). "Inversion of adjunction for local complete intersection varieties". American Journal of Mathematics. 126: 1355–1365. arXiv:math/0301164. Bibcode:2003math......1164E. doi:10.1353/ajm.2004.0044.
  • Mustaţǎ, Mircea; Popa, Mihnea (2016). "Hodge ideals". arXiv:1605.08088 [math.AG].
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References
  1. "Mircea Mustaţă, C.V." (PDF). umich.edu.
  2. Mircea Mustață at the Mathematics Genealogy Project
  3. "Mircea Mustata". IAS.
  4. Mustata, Mircea (2014). "The dimension of jet schemes of singular varieties". arXiv:1404.7731 [math.AG].
  5. "Mircea Mustaţă (homepage)". umich.edu.
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