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D-Index & Metrics

Mathematics

D-Index
40
Citations
5284
World Ranking
2093
National Ranking
884

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1986 - Fellow of Alfred P. Sloan Foundation

Overview

Lawrence Ein is a researcher affiliated with the University of Illinois at Chicago in the United States. Their work primarily spans the field of Mathematics, with a significant focus on Geometry and Topology, Algebra and Number Theory, Computational Mathematics, Computational Theory and Mathematics, and Mathematical Physics.

The scientist's main topical areas include Algebraic Geometry and Number Theory, Commutative Algebra and Its Applications, Tensor Decomposition and Applications, Polynomial and Algebraic Computation, Mathematical Dynamics and Fractals, Advanced Combinatorial Mathematics, and Mathematics and Applications.

Recent publications by Lawrence Ein demonstrate active engagement in both theoretical and applied aspects of their discipline. The papers include:

  • On blowup of secant varieties of curves (2021) published in Electronic Research Archive
  • Saturation bounds for smooth varieties (2022) published in Algebra & Number Theory
  • A remark on global sections of secant bundles of curves (2021) published in Bollettino dell Unione Matematica Italiana
  • Saturation bounds for smooth varieties (2021) published on arXiv (Cornell University)
  • On vanishing of fundamental forms of algebraic varieties (2023) published on arXiv (Cornell University)

Lawrence Ein has contributed to several notable publication venues, primarily including:

  • arXiv (Cornell University)
  • Electronic Research Archive
  • Algebra & Number Theory
  • Bollettino dell Unione Matematica Italiana

The scientist has collaborated frequently with peers such as Robert Lazarsfeld, Wenbo Niu, Jinhyung Park, Huy Tài Hà, and Mircea Mustaţă, reflecting a collaborative research approach within their field.

Recognition of their professional standing includes the following awards:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1986)

Best Publications

  • Uniform bounds and symbolic powers on smooth varieties

    Lawrence Ein;Robert Lazarsfeld;Karen E. Smith

  • Asymptotic invariants of base loci

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustaţă;Michael Nakamaye

  • Singularities of theta divisors and the birational geometry of irregular varieties

    Lawrence Ein;Robert Lazarsfeld

  • A subadditivity property of multiplier ideals.

    Jean-Pierre Demailly;Lawrence Ein;Robert Lazarsfeld

  • Global generation of pluricanonical and adjoint linear series on smooth projective threefolds

    Lawrence Ein;Robert Lazarsfeld

  • Vanishing theorems, a theorem of Severi, and the equations defining projective varieties

    Aaron Bertram;Aaron Bertram;Aaron Bertram;Lawrence Ein;Lawrence Ein;Lawrence Ein;Robert Lazarsfeld;Robert Lazarsfeld;Robert Lazarsfeld

  • Restricted volumes and base loci of linear series

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

  • Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension

    Lawrence Ein;Robert Lazarsfeld

  • Varieties with small dual varieties, I.

    Lawrence Ein

  • UNIFORM APPROXIMATION OF ABHYANKAR VALUATION IDEALS IN SMOOTH FUNCTION FIELDS

    Lawrence Ein;Robert Lazarsfeld;Karen E. Smith

  • Jumping coefficients of multiplier ideals

    Lawrence Ein;Robert Lazarsfeld;Karen E. Smith;Dror Varolin

  • Bounds for log canonical thresholds with applications to birational rigidity

    Lawrence Ein;Tommaso de Fernex;Mircea Mustata

  • Local positivity of ample line bundles

    Lawrence Ein;Oliver Küchle;Robert Lazarsfeld

  • Jet schemes and singularities

    Lawrence Ein;Mircea Mustata

  • Subvarieties of generic complete intersections

    Lawrence Ein

  • INVERSION OF ADJUNCTION FOR LOCAL COMPLETE INTERSECTION VARIETIES

    Lawrence Ein;Mircea Mustaţǎ

  • SOME SPECIAL CREMONA TRANSFORMATIONS

    Lawrence Ein;Nicholas Shepherd-Barron

  • Complex Projective Geometry: Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curves

    Unknown

  • Multiplicities and log canonical threshold

    Tommaso De Fernex;Lawrence Ein;Mircea Mustaţǎ

  • Contact loci in arc spaces

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata

  • Asymptotic invariants of base loci

    Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

  • Bounds for log canonical thresholds with applications to birational rigidity

    Tommaso de Fernex;Lawrence Ein;Mircea Mustata

Frequent Co-Authors

Robert Lazarsfeld
Robert Lazarsfeld Stony Brook University
Mircea Mustata
Mircea Mustata University of Michigan–Ann Arbor
Jean-Pierre Demailly
Jean-Pierre Demailly Grenoble Alpes University
Claire Voisin
Claire Voisin Institut de Mathématiques de Jussieu
Ron Donagi
Ron Donagi University of Pennsylvania
Sheldon Katz
Sheldon Katz University of Illinois at Urbana-Champaign

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