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


Mustafa received from the [[University of Bucharest]] a bachelor's degree in 1995 and a master's degree in 1996<ref name=CV/> and from the [[University of California, Berkeley]] a [[Ph.D.]] in 2001 with thesis advisor [[David Eisenbud]] and thesis ''Singularities and Jet Schemes''.<ref>{{MathGenealogy|id=56789}}</ref> 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 Mathematics Institute|Clay Research Fellow]]. At the [[University of Michigan]] in [[Ann Arbor]] he became in 2004 an associate professor and in 2008 a full professor.<ref name=CV>{{cite web|title=Mircea Mustaţă, C.V.|website=umich.edu|url=http://www-personal.umich.edu/~mmustata/cv2010_03_31.pdf}}</ref>
Mustaţă received from the [[University of Bucharest]] a bachelor's degree in 1995 and a master's degree in 1996<ref name=CV/> and from the [[University of California, Berkeley]] a [[Ph.D.]] in 2001 with thesis advisor [[David Eisenbud]] and thesis ''Singularities and Jet Schemes''.<ref name=mathgen>{{MathGenealogy|id=56789}}</ref> 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 Mathematics Institute|Clay Research Fellow]]. At the [[University of Michigan]] in [[Ann Arbor]] he became in 2004 an associate professor and in 2008 a full professor.<ref name=CV>{{cite web|title=Mircea Mustaţă, C.V.|website=umich.edu|url=http://www-personal.umich.edu/~mmustata/cv2010_03_31.pdf}}</ref>


In fall 2006, he was at the [[Institute for Advanced Study]].<ref>{{cite web|title=Mircea Mustata|website=IAS|url=http://www.ias.edu/scholars/mircea-mustata}}</ref> From 2006 to 2011 he held a five-year Packard Fellowship.<ref name=CV/>
In fall 2006, he was at the [[Institute for Advanced Study]].<ref>{{cite web|title=Mircea Mustata|website=IAS|url=http://www.ias.edu/scholars/mircea-mustata}}</ref> From 2006 to 2011 he held a five-year Packard Fellowship.<ref name=CV/>


Mustata 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<ref>{{cite book|author=Ein, Lawrence|author2=Mustata, Mircea|chapter=Invariants of singularities of pairs|title=''In:'' International Congress of Mathematicians (Madrid 2006)|volume=vol. II|publisher=Eur. Math. Soc.|location=Zürich|pages=583–602}} [https://arxiv.org/abs/math/0604601 arXiv preprint]</ref> and again in 2014 in Seoul.<ref>{{cite journal|title=The dimension of jet schemes of singular varieties|year=2014|journal=arXiv:1404.7731|url=http://arxiv.org/abs/1404.7731}} (preprint for article in Proceedings of the ICM, Seoul 2014)</ref>
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<ref>{{cite book|author=Ein, Lawrence|author2=Mustata, Mircea|chapter=Invariants of singularities of pairs|title=''In:'' International Congress of Mathematicians (Madrid 2006)|volume=vol. II|publisher=Eur. Math. Soc.|location=Zürich|pages=583–602}} [https://arxiv.org/abs/math/0604601 arXiv preprint]</ref> and again in 2014 in Seoul.<ref>{{cite journal|title=The dimension of jet schemes of singular varieties|year=2014|journal=arXiv:1404.7731|url=http://arxiv.org/abs/1404.7731}} (preprint for article in Proceedings of the ICM, Seoul 2014)</ref>


His research deals with a wide range of topics in algebraic geometry, including:
His research deals with a wide range of topics in algebraic geometry, including:
{{blockquote|various invariants of singularities of algebraic varieties, such as minimal log discrepancies, log canonical thresholds, [[multiplier ideal]]s, [[Bernstein–Sato polynomial]]s and F-thresholds ... resolutions of singularities, jet schemes, [[D-module]]s or positive characteristic methods ... [[birational geometry]], asymptotic base loci and invariants of divisors, and [[Toric variety|toric varieties]].<ref>{{cite web|title=Mircea Mustaţă (homepage)|website=umich.edu|url=http://www-personal.umich.edu/~mmustata/}}</ref>}}
{{blockquote|various invariants of singularities of algebraic varieties, such as minimal log discrepancies, log canonical thresholds, [[multiplier ideal]]s, [[Bernstein–Sato polynomial]]s and F-thresholds ... resolutions of singularities, jet schemes, [[D-module]]s or positive characteristic methods ... [[birational geometry]], asymptotic base loci and invariants of divisors, and [[Toric variety|toric varieties]].<ref>{{cite web|title=Mircea Mustaţă (homepage)|website=umich.edu|url=http://www-personal.umich.edu/~mmustata/}}</ref>}}

Mustaţă's doctoral students include [[June Huh]].<ref name=mathgen/>


==Selected pubications==
==Selected pubications==
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*{{cite web|title=Interview with Research Fellow Mircea Mustata|website=claymath.org|year=2007|url=http://www.claymath.org/library/annual_report/ar2007/07report_mustata.pdf}}
*{{cite web|title=Interview with Research Fellow Mircea Mustata|website=claymath.org|year=2007|url=http://www.claymath.org/library/annual_report/ar2007/07report_mustata.pdf}}
*{{cite web|url=https://www.youtube.com/watch?v=pMH5Fc0u1Ts|title=ICM2014 VideoSeries IL4.6: Mircea Mustaţă on Aug16Sat|date=18 August 2014|website=YouTube}}
*{{cite web|url=https://www.youtube.com/watch?v=pMH5Fc0u1Ts|title=ICM2014 VideoSeries IL4.6: Mircea Mustaţă on Aug16Sat|date=18 August 2014|website=YouTube}}
*{{cite web|url=https://www.youtube.com/watch?v=NjZgUKBzmAg|title=Workshop on Higher Dimensional Algebraic Geometry – Research Talk – Mustata|date=21 May 2015|website=YouTube}}
*{{cite web|url=https://www.youtube.com/watch?v=NjZgUKBzmAg|title=Workshop on Higher Dimensional Algebraic Geometry – Research Talk – Mustaţă|date=21 May 2015|website=YouTube}}
*{{cite web|url=https://www.youtube.com/watch?v=aU7OVQH5PRo|title=On some questions about minimal log discrepancies – Mircea Mustata|date=29 July 2016|website=YouTube}}
*{{cite web|url=https://www.youtube.com/watch?v=aU7OVQH5PRo|title=On some questions about minimal log discrepancies – Mircea Mustaţă|date=29 July 2016|website=YouTube}}


{{authority control}}
{{authority control}}

Revision as of 19:39, 9 August 2018

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 pubications

  • 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, Annales de l'Institut Fourier, 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, Compositio Mathematica, vol. 142, 2006, pp. 779–797. Arxiv
  • with Sam Payne: Ehrhart polynomials and stringy Betti numbers, Mathematische Annalen, vol. 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, American Journal of Mathematics, vol. 126, 2004, pp. 1355–1365. Arxiv
  • with Mihnea Popa: Hodge Ideals, Arxiv 2016

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. ^ Ein, Lawrence; Mustata, Mircea. "Invariants of singularities of pairs". In: International Congress of Mathematicians (Madrid 2006). Vol. vol. II. Zürich: Eur. Math. Soc. pp. 583–602. {{cite book}}: |volume= has extra text (help) arXiv preprint
  5. ^ "The dimension of jet schemes of singular varieties". arXiv:1404.7731. 2014. (preprint for article in Proceedings of the ICM, Seoul 2014)
  6. ^ "Mircea Mustaţă (homepage)". umich.edu.
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