Mircea Mustață

Q: What Schools Are Affiliated With Mircea Mustață

Mircea Mustață is affiliated with the following schools: University of California, Berkeley, University of Oxford, University of Michigan, University of Bucharest

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Mircea Mustață

Mathematics

#3958

World Rank

#5715

Historical Rank

Differential Geometry

#111

World Rank

#133

Historical Rank

Geometry

#133

World Rank

#201

Historical Rank

Group Theory

#232

World Rank

#275

Historical Rank

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Mathematics

Mircea Mustață's Degrees

PhD Mathematics University of Bucharest
Bachelors Mathematics University of Bucharest

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Why Is Mircea Mustață Influential?

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According to Wikipedia, Mircea Immanuel Mustață 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 and from the University of California, Berkeley a PhD in 2001 with thesis advisor David Eisenbud and thesis Singularities and Jet Schemes. As a postdoc he was at the University of Nice Sophia Antipolis , at the Isaac Newton Institute , and at Harvard University ; 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.

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Mircea Mustață's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Convex Bodies Associated to Linear Series (2008) (457)
Asymptotic invariants of base loci (2003) (254)
Jet schemes of locally complete intersection canonical singularities (2000) (180)
Restricted volumes and base loci of linear series (2006) (173)
Valuations and asymptotic invariants for sequences of ideals (2010) (172)
Singularities of pairs via jet schemes (2001) (139)
Vanishing Theorems on Toric Varieties (2000) (138)
Jet schemes and singularities (2006) (115)
Bounds for log canonical thresholds with applications to birational rigidity (2002) (106)
F-thresholds and Bernstein–Sato Polynomials (2004) (103)
Bernstein–Sato polynomials of arbitrary varieties (2004) (88)
Contact loci in arc spaces (2003) (88)
Jet schemes, log discrepancies and inversion of adjunction (2002) (86)
Multiplicities and log canonical threshold (2002) (83)
Inversion of adjunction for local complete intersection varieties (2003) (83)
On multiplicities of graded sequences of ideals (2002) (81)
Weight functions on non-archimedean analytic spaces and the Kontsevich-Soibelman skeleton (2012) (81)
Shokurov's ACC conjecture for log canonical thresholds on smooth varieties (2009) (73)
Ordinary varieties and the comparison between multiplier ideals and test ideals (2010) (60)
The module of logarithmic p-forms of a locally free arrangement (2000) (56)
Ehrhart polynomials and stringy Betti numbers (2005) (50)
Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves (2003) (48)
Algebraic Geometry: Salt Lake City 2015 (2018) (48)
Positivity properties of toric vector bundles (2010) (47)
ASYMPTOTIC INVARIANTS OF LINE BUNDLES (2005) (46)
An algebraic approach to the openness conjecture of Demailly and Kollár (2012) (45)
The non-nef locus in positive characteristic (2011) (39)
Hodge ideals for Q-divisors, V-filtration, and minimal exponent (2018) (39)
Introduction to resolution of singularities (2010) (38)
Limits of log canonical thresholds (2007) (36)
Multiplier ideals of hyperplane arrangements (2004) (36)
Log canonical thresholds on varieties with bounded singularities (2010) (35)
The combinatorics and topology of proper toric maps (2014) (35)
The Monodromy Conjecture for hyperplane arrangements (2009) (32)
Hodge Ideals (2016) (32)
F-Thresholds, tight closure, integral closure, and multiplicity bounds (2007) (31)
Local cohomology at monomial ideals (2000) (31)
IMPANGA lecture notes on log canonical thresholds (2011) (30)
Invariants of singularities of pairs (2006) (29)
Hodge ideals for Q-divisors I: birational approach (2018) (27)
The Augmented Base Locus in Positive Characteristic (2011) (26)
Bernstein-Sato polynomials in positive characteristic (2007) (24)
On the Numerical Dimension of Pseudo-Effective Divisors in Positive Characteristic (2012) (24)
Vanishing theorems and singularities in birational geometry (2013) (22)
Graded Betti numbers of general finite subsets of points on projective varieties (1999) (22)
On Igusa zeta functions of monomial ideals (2005) (22)
Test Ideals Vs. Multiplier Ideals (2007) (22)
Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach (2005) (22)
Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals (2005) (20)
A boundedness conjecture for minimal log discrepancies on a fixed germ (2015) (20)
The multiplier ideals of a sum of ideals (2001) (18)
Hodge filtration, minimal exponent, and local vanishing (2019) (17)
A Frobenius variant of Seshadri constants (2012) (16)
Restriction, subadditivity, and semicontinuity theorems for Hodge ideals (2016) (15)
Multiplier ideals via Mather discrepancy (2011) (14)
IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES (2018) (13)
Sequences of LCT-polytopes (2010) (12)
The volume of a set of arcs on a variety (2015) (11)
IMPANGA lecture notes on log canonical thresholdsNotes by Tomasz Szemberg (2012) (11)
The Du Bois complex of a hypersurface and the minimal exponent (2021) (11)
HODGE IDEALS FOR $\mathbb{Q}$-DIVISORS, $V$-FILTRATION, AND MINIMAL EXPONENT (2020) (10)
AND TOPOLOGY OF PROPER TORIC MAPS (10)
Hodge ideals for $\protect \mathbf{Q}$-divisors: birational approach (2019) (10)
D-modules on Smooth Toric Varieties (2000) (10)
Universal Rational Parametrizations and Toric Varieties (2003) (10)
Hodge ideals for Q-divisors II: V-filtration (2018) (9)
Bernstein-Sato polynomials for general ideals vs. principal ideals (2019) (8)
LOCAL VANISHING AND HODGE FILTRATION FOR RATIONAL SINGULARITIES (2017) (8)
Positivity for toric vector bundles (2008) (8)
Analytic and algebraic geometry : common problems, different methods (2010) (6)
Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension (2021) (6)
Recent advances in algebraic geometry: A volume in honor of Rob Lazarsfeld’s 60th birthday (2015) (6)
Generically finite morphisms and formal neighborhoods of arcs (2007) (5)
Minimal exponents of hyperplane sections: a conjecture of Teissier (2020) (5)
Log canonical thresholds, F-pure thresholds, and non-standard extensions (2011) (5)
Upper Bounds for Roots of $b$-Functions, following Kashiwara and Lichtin (2020) (5)
On k-rational and k-Du Bois local complete intersections (2022) (5)
The dimension of jet schemes of singular varieties (2014) (4)
The log canonical threshold of homogeneous affine hypersurfaces (2001) (4)
Estimates for F-jumping numbers and bounds for Hartshorne–Speiser–Lyubeznik numbers (2011) (4)
SPACES OF ARCS IN BIRATIONAL GEOMETRY (2006) (3)
Hodge ideals and minimal exponents of ideals (2019) (3)
An invariant detecting rational singularities via the log canonical threshold (2019) (2)
A finiteness property of graded sequences of ideals (2010) (2)
Log canonical thresholds on smooth varieties: the Ascending Chain Condition (2008) (2)
On a conjecture of Teissier: the case of log canonical thresholds (2020) (2)
On a Conjecture of Bitoun and Schedler (2022) (2)
INVARIANTS OF SINGULARITIES VIA INTEGRATION (2006) (1)
The Hilbert series of Hodge ideals of hyperplane arrangements (2020) (1)
Jet Schemes of L.C.I. Canonical Singularities (2000) (1)
MATH 632: ALGEBRAIC GEOMETRY II COHOMOLOGY ON ALGEBRAIC VARIETIES LECTURES BY PROF. MIRCEA MUSTAŢĂ; NOTES BY ALEKSANDER HORAWA (2018) (0)
MATH 632: ALGEBRAIC GEOMETRY II COHOMOLOGY ON ALGEBRAIC VARIETIES LECTURES BY PROF. MIRCEA MUSTAŢĂ; NOTES BY ALEKSANDER HORAWA (2018) (0)
Singularities and jet schemes (2001) (0)
Ju n 20 06 ON IGUSA ZETA FUNCTIONS OF MONOMIAL IDEALS (2005) (0)
Divisors on $\mathcal{M}_{g,g+1}$ and the Minimal Resolution Conjecture for points on canonical curves (2001) (0)
2 2 Se p 20 06 ON IGUSA ZETA FUNCTIONS OF MONOMIAL IDEALS (2006) (0)
-Modules on Smooth Toric Varieties (2001) (0)
Index to Volume 136 2014 (2014) (0)
D-Modules on Smooth Toric Varieties (D-加群のアルゴリズム) (2000) (0)
Toward an inductive description of singularities of pairs (2008) (0)
LECTURE NOTES ON LOG CANONICAL THRESHOLDS IMPANGA 2010 SUMMER SCHOOL (2011) (0)
TIGHT CLOSURE , INTEGRAL CLOSURE , AND MULTIPLICITY BOUNDS (0)
The Ascending Chain Condition for log canonical thresholds on l.c.i. varieties (2008) (0)
The ACC Conjecture for minimal log discrepancies on a fixed germ (2015) (0)
The log canonical threshold of a projective hypersurface with isolated singularities (2001) (0)
Mathematische Annalen Ehrhart polynomials and stringy Betti numbers (2005) (0)
Asymptotic Invariants of Line Bundles 381 projective variety of dimension (2015) (0)
MATH 631: ALGEBRAIC GEOMETRY I: INTRODUCTION TO ALGEBRAIC VARIETIES LECTURES BY PROF. MIRCEA MUSTAŢĂ; NOTES BY ALEKSANDER HORAWA (2007) (0)
MATH 631: ALGEBRAIC GEOMETRY I: INTRODUCTION TO ALGEBRAIC VARIETIES LECTURES BY PROF. MIRCEA MUSTAŢĂ; NOTES BY ALEKSANDER HORAWA (2007) (0)
A ug 2 00 3 ASYMPTOTIC INVARIANTS OF BASE LOCI (2003) (0)
Restricted volumes and the augmented base locus (2003) (0)
$\mathcal{D}$-MODULES ON SMOOTH TORIC VARIETIES (Algorithms for D-modules) (2000) (0)
RESTRICTED VOLUMES AND BASE LOCI OF LINEAR (2007) (0)
A Frobenius variant of Seshadri constants (2013) (0)
Hodge filtration, minimal exponent, and local vanishing (2019) (0)
Threefold divisorial contractions to singularities of cE type (2015) (0)
MATH 731: HODGE THEORY LECTURES BY PROF. MIRCEA MUSTAŢĂ; NOTES BY ALEKSANDER HORAWA (2019) (0)

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Mircea Mustață's Degrees

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Why Is Mircea Mustață Influential?

Mircea Mustață's Published Works

Published Works

Other Resources About Mircea Mustață

What Schools Are Affiliated With Mircea Mustață?

Mircea Mustață's AcademicInfluence.com Rankings