# Mircea Mustață

Mathematician

## Mircea Mustață's AcademicInfluence.com Rankings

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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?

(Suggest an Edit or Addition)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.

## Mircea Mustață's Published Works

### 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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