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D-Index & Metrics

Mathematics

D-Index
34
Citations
5945
World Ranking
2887
National Ranking
1172

Overview

Jerzy Weyman is affiliated with the University of Connecticut in the United States and has an extensive research portfolio in mathematics, with particular attention to algebra, geometry, and combinatorics. Their work contributes primarily to the fields of Algebra and Number Theory, Geometry and Topology, and Discrete Mathematics and Combinatorics, alongside studies in Computational Theory and Mathematical Physics.

Their scholarly output features a variety of topics, notably in commutative algebra and its applications, algebraic structures and combinatorial models, and advanced combinatorial mathematics. Other focus areas include algebraic geometry and number theory, rings, modules, and algebras, advanced topics in algebra, and homotopy and cohomology in algebraic topology.

Weyman has published in several academic venues, predominantly in arXiv (Cornell University) with 15 publications, along with journals such as the Journal of Algebra, Duke Mathematical Journal, Selecta Mathematica, and the Journal of Pure and Applied Algebra.

Recent papers demonstrate a focus on detailed algebraic and geometric problems, including:

  • Topological invariants of groups and Koszul modules, 2022, Duke Mathematical Journal
  • Minuscule Schubert varieties of exceptional type, 2022, Journal of Algebra
  • Koszul modules with vanishing resonance in algebraic geometry, 2024, Selecta Mathematica
  • Mapping resolutions of length three I, 2022, Journal of Pure and Applied Algebra
  • Local cohomology on a subexceptional series of representations, 2022, Annales de l'institut Fourier

Weyman has collaborated frequently with several coauthors, reflecting interdisciplinary and collaborative research efforts. Key frequent coauthors include:

  • Xianglong Ni
  • Claudiu Raicu
  • Sara Angela Filippini
  • Jacinta Torres
  • Oana Veliche

Their work encompasses complex theoretical explorations within mathematics, addressing both algebraic frameworks and topological dimensions. Publications span foundational theories and new research directions in algebra and geometry, often intersecting with combinatorial models and applications, illustrating a comprehensive engagement with modern mathematical research.

Best Publications

  • Cohomology of Vector Bundles and Syzygies

    Jerzy Weyman

  • Quivers with potentials and their representations I: Mutations

    Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

  • Cohomology of Vector Bundles and Syzygies

    Unknown

  • Schur Functors and Schur Complexes

    Kaan Akin;David A Buchsbaum;Jerzy Weyman

  • Quivers with potentials and their representations II: Applications to cluster algebras

    Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

  • Resultants and Chow forms via exterior syzygies

    David Eisenbud;Frank-Olaf Schreyer;Jerzy Weyman

  • Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients

    Harm Derksen;Jerzy Weyman

  • An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to $\mathbf{VP} eq\mathbf{VNP}$

    Peter Bürgisser;J. M. Landsberg;Laurent Manivel;Jerzy Weyman

  • Formalizing classes of information fusion systems

    Mieczyslaw M. Kokar;Jerzy A. Tomasik;Jerzy Weyman

  • Multiple Flag Varieties of Finite Type

    Peter Magyar;Jerzy Weyman;Andrei Zelevinsky

  • Resolutions of determinantal ideals: The submaximal minors

    Kaan Akin;David A Buchsbaum;Jerzy Weyman

  • On the ideals and singularities of secant varieties of Segre varieties

    J. M. Landsberg;Jerzy Weyman

  • The equations of conjugacy classes of nilpotent matrices.

    J. Weyman

  • On the Littlewood–Richardson polynomials

    Harm Derksen;Jerzy Weyman

  • The Existence of Pure Free Resolutions

    David Eisenbud;Gunnar Floystad;Jerzy Weyman

  • Singularities of hyperdeterminants

    Jerzy Weyman;Andrei Zelevinsky

  • Graded Characters of Modules Supported in the Closure of a Nilpotent Conjugacy Class

    Mark Shimozono;Jerzy Weyman

  • On the Canonical Decomposition of Quiver Representations

    Harm Derksen;Jerzy Weyman

  • The combinatorics of quiver representations

    Harm Derksen;Jerzy Weyman

  • The existence of equivariant pure free resolutions

    David Eisenbud;Gunnar Fløystad;Jerzy Weyman

  • An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP

    Peter Bürgisser;J. M. Landsberg;Laurent Manivel;Jerzy Weyman

Frequent Co-Authors

Harm Derksen
Harm Derksen University of Michigan–Ann Arbor
Joseph M. Landsberg
Joseph M. Landsberg Texas A&M University
Andrei Zelevinsky
Andrei Zelevinsky Northeastern University
David Eisenbud
David Eisenbud University of California, Berkeley
Mark Shimozono
Mark Shimozono Virginia Tech
Andrzej Skowroński
Andrzej Skowroński Nicolaus Copernicus University

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