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Mathematics

D-Index
46
Citations
12859
World Ranking
1325
National Ranking
596

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2004 - Fellow of the American Academy of Arts and Sciences
  • 1971 - Fellow of Alfred P. Sloan Foundation

Overview

Nolan R. Wallach is affiliated with the University of California, San Diego in the United States and specializes primarily in the field of Mathematics. Their research spans multiple subfields, including Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Theoretical Computer Science.

The main topics of Wallach's work include:

  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Advanced Combinatorial Mathematics
  • Geometric and Algebraic Topology
  • Algebraic Geometry and Number Theory
  • History and Theory of Mathematics

The most frequent venues where Wallach has published are:

  • arXiv (Cornell University)
  • Combinatorial Theory
  • Journal of Combinatorial Theory Series A
  • Representation Theory of the American Mathematical Society
  • International Journal of Mathematics

Several recent papers highlight aspects of their research, including:

  • Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds, 2023, Combinatorial Theory
  • Harmonic differential forms for pseudo-reflection groups I. Semi-invariants, 2021, Journal of Combinatorial Theory Series A
  • The dependence on parameters of the inverse functor to the -finite functor, 2022, Representation Theory of the American Mathematical Society
  • The dependence on parameters of the inverse functor to the $K$-finite functor, 2020, arXiv (Cornell University)
  • An evolution in six stages based on triality: A mathematical memoir, 2021, International Journal of Mathematics

Frequent coauthors collaborating with Wallach include:

  • Joshua P. Swanson
  • Lei Ni
  • Marino Romero

Their scholarly contributions have been recognized through several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2004)
  • Fellow of Alfred P. Sloan Foundation (1971)

Best Publications

  • Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

    Armand Borel;Nolan R. Wallach

  • Representations and invariants of the classical groups

    Roe Goodman;Nolan R. Wallach

  • Symmetry, Representations, and Invariants

    Roe Goodman;Nolan R. Wallach

  • Real Reductive Groups II

    Nolan R Wallach

  • Harmonic analysis on homogeneous spaces

    Nolan R. Wallach

  • Global entanglement in multiparticle systems

    David A. Meyer;Nolan R. Wallach

  • Real reductive groups

    Nolan R. Wallach

  • A Classification of Unitary Highest Weight Modules

    Thomas Enright;Roger Howe;Nolan Wallach

  • Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature

    Nolan R. Wallach

  • An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

    Simon Aloff;Nolan R. Wallach

  • The analytic continuation of the discrete series. II

    Nolan R. Wallach

  • Lorentzian symmetric spaces

    Michel Cahen;Nolan Wallach

  • Minimal Immersions of Spheres into Spheres

    Manfredo P. Do Carmo;Nolan R. Wallach

  • Limit Formulas for Multiplicities in L 2 (Γ\G)

    David L. DeGeorge;Nolan R. Wallach

  • Asymptotic expansions of generalized matrix entries of representations of real reductive groups

    Nolan R. Wallach

  • All maximally entangled four-qubit states

    Gilad Gour;Nolan R. Wallach

  • On a classification of gradient shrinking solitons

    Lei Ni;Nolan R. Wallach

  • Projective unitary positive-energy representations of Diff (S1)

    Roe Goodman;Nolan R Wallach

  • Projective modules over graded Lie algebras. I

    Alvany Rocha-Caridi;Nolan R. Wallach

  • Composition series and intertwining operators for the spherical principal series. II

    Kenneth D. Johnson;Nolan R. Wallach

  • On quaternionic discrete series representations, and their continuations.

    N.R. Wallach;B.H. Gross

Frequent Co-Authors

Adriano M. Garsia
Adriano M. Garsia University of California, San Diego
Joseph A. Wolf
Joseph A. Wolf University of California, Berkeley
Edward Frenkel
Edward Frenkel University of California, Berkeley
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Benedict H. Gross
Benedict H. Gross University of California, San Diego
Michael Cowling
Michael Cowling University of New South Wales
Ronald M. Evans
Ronald M. Evans Salk Institute for Biological Studies
Armand Borel
Armand Borel Institute for Advanced Study

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