Biography:Mircea Mustaţă

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Mircea Immanuel Mustaţă (born 1971 in Romania) is a Romanian mathematician, specializing in algebraic geometry. Mustaţă 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]

Mustaţă was an invited speaker at the European Mathematical Congress in 2004 Stockholm and at the International Congress of Mathematicians in 2006 (with Lawrence Ein) in Madrid[4] and again in 2014 in Seoul.[5]

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.[6]

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

Selected publications

  • "Invariants of singularities of pairs". Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006. 2. European Mathematical Society. 2006. pp. 583–602. 
  • "Asymptotic invariants of base loci". Annales de l'Institut Fourier 56: 1701–1734. 2006. Bibcode: 2003math......8116E. 
  • "Jet schemes and singularities". Algebraic geometry—Seattle 2005. Part 2. Proceedings of Symposia in Pure Mathematics. 80. Providence, RI: American Mathematical Society. 2009. pp. 505–546. doi:10.1090/pspum/080.2/2483946. 
  • Budur, Nero; Mustaţă, Mircea; Saito, Morihiko (2006). "Bernstein-Sato polynomials of arbitrary varieties". Compositio Mathematica 142: 779–797. Bibcode: 2004math......8408B. 
  • Mustaţă, Mircea; Payne, Sam (2005). "Ehrhart polynomials and stringy Betti numbers". Mathematische Annalen 333 (4): 787–795. Bibcode: 2005math......4486M. 
  • Mustaţă, Mircea; Takagi, Shunsuke; Watanabe, Kei-ichi (2004). "F-thresholds and Bernstein-Sato polynomials". in Laptev, Ari. European Congress of Mathematics: Stockholm, June 27-July 2, 2004. European Mathematical Society. p. 341–364. ISBN 978-3-03719-009-8. Bibcode: 2004math.....11170M. https://books.google.ca/books?id=lsgcqL5_nHYC&pg=PA341. 
  • "Inversion of adjunction for local complete intersection varieties". American Journal of Mathematics 126: 1355–1365. 2004. Bibcode: 2003math......1164E. 
  • Mustaţǎ, Mircea (2016). "Hodge ideals". arXiv:1605.08088 [math.AG].

References

  1. ↑ 1.0 1.1 1.2 "Mircea Mustaţă, C.V.". http://www-personal.umich.edu/~mmustata/cv2010_03_31.pdf. 
  2. ↑ 2.0 2.1 Mircea Mustaţă at the Mathematics Genealogy Project
  3. ↑ "Mircea Mustata". http://www.ias.edu/scholars/mircea-mustata. 
  4. ↑ Ein, Lawrence; Mustata, Mircea (2006). "Invariants of singularities of pairs". Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006. 2. European Mathematical Society. pp. 583–602. 
  5. ↑ Mustata, Mircea (2014). "The dimension of jet schemes of singular varieties". arXiv:1404.7731 [math.AG].
  6. ↑ "Mircea Mustaţă (homepage)". http://www-personal.umich.edu/~mmustata/. 

External links




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