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Mathematics

D-Index
35
Citations
6603
World Ranking
2736
National Ranking
1118

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1994 - Member of the National Academy of Sciences
  • 1993 - Fellow of the American Academy of Arts and Sciences
  • 1983 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Roger Howe is a researcher primarily affiliated with Texas A&M University in the United States. Their scholarly work is principally situated within the field of Mathematics, encompassing several subfields including Mathematical Physics, Discrete Mathematics and Combinatorics, Artificial Intelligence, Education, and Applied Mathematics.

Their research addresses topics such as Advanced Algebra and Geometry, Finite Group Theory Research, Coding Theory and Cryptography, and Mathematics Education and Teaching Techniques. Additional areas of interest include Cognitive and Developmental Aspects of Mathematical Skills and Mathematics Education and Pedagogy, reflecting a blend of pure mathematical inquiry and educational research.

Roger Howe's publishing record includes contributions to multiple journals and venues. Frequent publication platforms include:

  • arXiv (Cornell University)
  • Notices of the American Mathematical Society
  • Japanese journal of mathematics
  • Pure and Applied Mathematics Quarterly
  • ZDM

Key recent papers authored or coauthored by Roger Howe include:

  • "Knowing and Teaching Elementary Mathematics - How Are We Doing?" (2020), Notices of the American Mathematical Society

Other notable publications, though authored by frequent collaborators, are closely related to their research network:

  • "Rank and duality in representation theory" (2020), Japanese journal of mathematics
  • "Harmonic analysis on GLₙ over finite fields" (2021), Pure and Applied Mathematics Quarterly
  • "Harmonic Analysis on GL(n) over Finite Fields" (2021), arXiv (Cornell University)
  • "Exploring Shanghai students' mathematics learning as related to content presentation in textbooks: the case of the commutative property of addition" (2022), ZDM

Collaborations form a considerable part of Roger Howe's scholarly activity. Frequent coauthors include:

  • Shamgar Gurevich
  • Yeping Li
  • Xingfeng Huang
  • Yu Xiao
  • Joseph S. Webster

Over the course of their career, Roger Howe has received recognition through several honors, including:

  • Fellow of the American Mathematical Society (2013)
  • Member of the National Academy of Sciences (1994)
  • Fellow of the American Academy of Arts and Sciences (1993)
  • Fellow of John Simon Guggenheim Memorial Foundation (1983)

Best Publications

  • Remarks on classical invariant theory

    Roger Howe

  • Transcending classical invariant theory

    Roger Howe

  • Asymptotic properties of unitary representations

    Roger E. Howe;Roger E. Howe;Calvin C. Moore;Calvin C. Moore

  • Perspectives on invariant theory : Schur duality, multiplicity-free actions and beyond

    R. Howe

  • The Capelli identity, the double commutant theorem, and multiplicity-free actions

    Roger Howe;Tôru Umeda

  • On the role of the Heisenberg group in harmonic analysis

    Roger Howe

  • Quantum mechanics and partial differential equations

    Roger Howe

  • Tamely ramified supercuspidal representations of ${ m Gl}_{n}$.

    Roger E. Howe

  • Non-abelian harmonic analysis

    Roger Howe;Eng Chye Tan

  • On the character of Weil’s representation

    Roger E. Howe

  • Traces of commutators of integral operators

    J. William Helton;Roger E. Howe

  • Stable branching rules for classical symmetric pairs

    Roger E. Howe;Eng Chye Tan;Jeb F. Willenbring

  • On the *-algebra of Toeplitz operators on the quarterplane

    R. G. Douglas;Roger Howe

  • Review: Sigurdur Helgason, Groups and geometric analysis. Integral geometry, invariant differential operators and spherical functions

    Roger Howe

  • Kirillov theory for compact $p$-adic groups.

    Roger E. Howe

  • ON A CONNECTION BETWEEN NILPOTENT GROUPS AND OSCILLATORY INTEGRALS ASSOCIATED TO SINGULARITIES

    Roger Evans Howe

  • ON REPRESENTATIONS OF DISCRETE, FINITELY GENERATED, TORSION-FREE, NILPOTENT GROUPS

    Roger Evans Howe

  • Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations

    Roger E. Howe;Eng-Chye Tan

  • θ-series and invariant theory, In Automorphic forms, representations and L-functions

    R. Howe

  • Very Basic Lie Theory

    Roger Howe

  • Non-Abelian Harmonic Analysis : Applications of SL (2,R)

    Roger Howe;Eng-chye Tan

  • On A Notion of Rank for Unitary Representations of the Classical Groups

    Roger Howe

Frequent Co-Authors

Imre Bárány
Imre Bárány Alfréd Rényi Institute of Mathematics
Peter Sarnak
Peter Sarnak Princeton University
J. William Helton
J. William Helton University of California, San Diego
Jonathan Rosenberg
Jonathan Rosenberg University of Maryland, College Park
László Lovász
László Lovász Eötvös Loránd University
Ivan Cherednik
Ivan Cherednik University of North Carolina at Chapel Hill

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