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Mircea Mustață

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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. Vol. 80. Providence, RI: American Mathematical Society. pp. 505–546. arXiv:math/0612862. doi:10.1090/pspum/080.2/2483946. MR 2483946. {{cite book}}: Cite has empty unknown parameter: |1= (help)
  • 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].

References

  1. ^ a b c "Mircea Mustaţă, C.V." (PDF). umich.edu.
  2. ^ a b 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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