World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
3985
World Ranking
3343
National Ranking
1313

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Mircea Mustaţă is affiliated with the University of Michigan-Ann Arbor in the United States. Their research primarily focuses on the field of Mathematics, with a particular emphasis on Geometry and Topology, Algebra and Number Theory, Computational Theory and Mathematics, Mathematical Physics, and Applied Mathematics.

The main topics covered in their work include Algebraic Geometry and Number Theory, Commutative Algebra and Its Applications, Polynomial and Algebraic Computation, Advanced Algebra and Geometry, Analytic Number Theory Research, Meromorphic and Entire Functions, and Homotopy and Cohomology in Algebraic Topology.

Mircea Mustaţă has contributed a range of research papers published in multiple academic venues. Recent publications include:

  • HODGE IDEALS FOR -DIVISORS, -FILTRATION, AND MINIMAL EXPONENT (2020), Forum of Mathematics Sigma
  • The Du Bois complex of a hypersurface and the minimal exponent (2023), Duke Mathematical Journal
  • Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension (2022), Forum of Mathematics Pi
  • Bernstein-Sato polynomials for general ideals vs. principal ideals (2020), Proceedings of the American Mathematical Society
  • Upper Bounds for Roots of $b$-Functions, following Kashiwara and Lichtin (2022), Publications of the Research Institute for Mathematical Sciences

The frequent publication venues for their work are:

  • arXiv (Cornell University)
  • Proceedings of the American Mathematical Society
  • International Mathematics Research Notices
  • Forum of Mathematics Sigma
  • Duke Mathematical Journal

Mircea Mustaţă has collaborated often with various coauthors, including:

  • Bradley Dirks
  • Mihnea Popa
  • Sebastián Olano
  • Qianyu Chen
  • Jakub Witaszek

In recognition of their professional contributions, Mircea Mustaţă was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Convex bodies associated to linear series

    Robert Lazarsfeld;Mircea Mustață

  • Vanishing theorems on toric varieties

    Mircea Mustata

  • Restricted volumes and base loci of linear series

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

  • Valuations and asymptotic invariants for sequences of ideals

    Mattias Jonsson;Mircea Mustaţă

  • Discreteness and rationality of F-thresholds

    Manuel Blickle;Mircea Mustata;Karen E. Smith

  • F-thresholds and Bernstein-Sato polynomials

    Mircea Mustata;Shunsuke Takagi;Kei-ichi Watanabe

  • Jet Schemes of Locally Complete Intersection Canonical Singularities

    Mircea Mustata

  • Bounds for log canonical thresholds with applications to birational rigidity

    Lawrence Ein;Tommaso de Fernex;Mircea Mustata

  • Jet schemes and singularities

    Lawrence Ein;Mircea Mustata

  • Multiplicities and log canonical threshold

    Tommaso De Fernex;Lawrence Ein;Mircea Mustaţǎ

  • Contact loci in arc spaces

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata

  • Bernstein-Sato polynomials of arbitrary varieties

    Nero Budur;Mircea Mustata;Morihiko Saito

  • Jet schemes, log discrepancies and inversion of adjunction

    Lawrence Ein;Mircea Mustaţǎ;Takehiko Yasuda

  • On multiplicities of graded sequences of ideals

    Unknown

  • Multiplier ideals of hyperplane arrangements

    Mircea Mustata

  • An algebraic approach to the openness conjecture of Demailly and Kollár

    Mattias Jonsson;Mircea Mustaţă

  • Positivity properties of toric vector bundles

    Unknown

  • ASYMPTOTIC INVARIANTS OF LINE BUNDLES

    L. Ein;R. Lazarsfeld;M. Mustata;M. Nakamaye

  • Ehrhart polynomials and stringy Betti numbers

    Unknown

  • The combinatorics and topology of proper toric maps

    Unknown

  • Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties

    Tommaso de Fernex;Lawrence Ein;Mircea Mustata

  • Asymptotic invariants of base loci

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

  • Singularities of Pairs via Jet Schemes

    Mircea Mustata

  • The Module of Logarithmic p-forms of a Locally Free Arrangement

    Mircea Mustata;Hal Schenck

  • Bounds for log canonical thresholds with applications to birational rigidity

    Tommaso de Fernex;Lawrence Ein;Mircea Mustata

Frequent Co-Authors

Lawrence Ein
Lawrence Ein University of Illinois at Chicago
Robert Lazarsfeld
Robert Lazarsfeld Stony Brook University
Mattias Jonsson
Mattias Jonsson University of Michigan–Ann Arbor
Craig Huneke
Craig Huneke University of Virginia
David Eisenbud
David Eisenbud University of California, Berkeley

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in mathematics, exploring related online degrees can open diverse career pathways. Many professionals pivot from math to fields like business, marketing, and management by pursuing advanced degrees online.

For example, those aiming to fast-track their career growth might consider a fastest mba online program. These programs are designed to be completed quickly, allowing graduates to enter the workforce sooner.

If digital marketing piques your interest, a masters in digital marketing offers a blend of marketing expertise and analytical skills, which often appeals to math graduates looking to leverage their quantitative background.

Those wanting an intensive curriculum might find value in 1 year mba programs, which condense essential business knowledge into a single year, perfect for motivated learners.

Transferring existing credits can also save time and money. Many students wonder, can you transfer credits into an mba program? The answer varies by institution, but several online MBAs accept transfer credits, offering more flexibility for degree completion.

Best Scientists Citing Mircea Mustata

Trending Scientists

Recently Published Articles