World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
6032
World Ranking
2884
National Ranking
1170

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Brian Parshall is affiliated with the University of Virginia in the United States, focusing on research within the field of Mathematics. Their work encompasses several specialized areas including Mathematical Physics, Geometry and Topology, Organic Chemistry, and Algebra and Number Theory.

Their main fields of study consist of:

  • Mathematics

Subfields of study include:

  • Mathematical Physics
  • Geometry and Topology
  • Organic Chemistry
  • Algebra and Number Theory

The primary research topics covered in their publications are:

  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Carbohydrate Chemistry and Synthesis
  • Advanced Topics in Algebra
  • Homotopy and Cohomology in Algebraic Topology

Brian Parshall's recent papers include:

  • An exact category approach to Hecke endomorphism algebras, 2022, arXiv (Cornell University)
  • An exact category approach to Hecke endomorphism algebras, 2024, Proceedings of symposia in pure mathematics

Frequent co-authors collaborating with Brian Parshall are:

  • Leonard L. Scott (2 publications)
  • Jie Du (2 publications)

The venues in which their research has been frequently published include:

  • arXiv (Cornell University)
  • Proceedings of symposia in pure mathematics

Brian Parshall was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Finite dimensional algebras and highest weight categories.

    E. Cline;B. Parshall;L. Scott

  • Quantum linear groups

    Brian Parshall;Jian Pan Wang

  • Stratifying endomorphism algebras

    Edward Cline;Brian Parshall;Leonard Scott

  • Rational and Generic Cohomology

    E. Cline;B. Parshall;L. Scott

  • Support varieties for restricted Lie alge-bras.

    Eric M. Friedlander;Brian J. Parshall

  • Modular representation theory of Lie algebras

    Eric M. Friedlander;Brian J. Parshall

  • Derived categories and Morita theory

    E Cline;B Parshall;L Scott

  • Quantum Weyl Reciprocity and Tilting Modules

    Jie Du;Brian Parshall;Leonard Scott

  • Cohomology of finite groups of Lie type, I

    Edward Cline;Brian Parshall;Leonard Scott

  • Cohomology of Lie Algebras and Algebraic Groups

    Eric M. Friedlander;Brian J. Parshall

  • Geometry of p-unipotent lie algebras

    Eric M Friedlander;Brian J Parshall

  • Induced modules and affine quotients

    Edward Cline;Brian Parshall;Leonard Scott;Leonard Scott

  • Algebraic stratification in representation categories

    E Cline;B Parshall;L Scott

  • Integral and graded quasi-hereditary algebras, I☆

    E Cline;B Parshall;L Scott

  • ABSTRACT KAZHDAN-LUSZTIG THEORIES

    Edward Cline;Brian Parshall;Leonard Scott

  • ON THE 1-COHOMOLOGY OF FINITE GROUPS OF LIE TYPE

    Wayne Jones;Brian Parshall

  • Cohomology, hyperalgebras, and representations

    Edward Cline;Brian Parshall;Leonard Scott

  • Two-parameter quantum linear groups and the hyperbolic invariance of q-Schur algebras

    Jie Du;Brian Parshall;Jian‐Pan Wang

  • On Injective Modules for Infinitesimal Algebraic Groups, I

    Edward T. Cline;Brian J. Parshall;Leonard L. Scott

  • On the Cohomology of Algebraic and Related Finite Groups

    E. M. Friedlander;B. J. Parshall

  • Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods

    William Haboush;Brian Parshall

  • Algebraic Groups and Their Generalizations: Classical Methods

    William Haboush;Brian Parshall

Frequent Co-Authors

Eric M. Friedlander
Eric M. Friedlander University of Southern California
William Fulton
William Fulton University of Michigan–Ann Arbor
Weiqiang Wang
Weiqiang Wang University of Virginia
Yi-Zhi Huang
Yi-Zhi Huang Rutgers, The State University of New Jersey
Robin Hartshorne
Robin Hartshorne University of California, Berkeley

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