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Mathematics

D-Index
36
Citations
5120
World Ranking
2655
National Ranking
57

Overview

Varghese Mathai is currently affiliated with the University of Adelaide in Australia. Their research primarily lies in the domain of Mathematics, with a specific focus on several subfields including Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Algebra and Number Theory, and Nuclear and High Energy Physics.

Their scholarly output encompasses work across various topics within mathematics, including Advanced Operator Algebra Research, Homotopy and Cohomology in Algebraic Topology, Advanced Algebra and Geometry, Advanced Topics in Algebra, Algebraic Structures and Combinatorial Models, Noncommutative and Quantum Gravity Theories, and Nonlinear Waves and Solitons.

Varghese Mathai has contributed to multiple academic publications, participating regularly in journals such as:

  • Communications in Mathematical Physics
  • arXiv (Cornell University)
  • Journal of Geometry and Physics
  • Transactions of the American Mathematical Society
  • Annals of K-Theory

The following is a selection of recent papers by Varghese Mathai along with their year of publication and respective venues:

  • Coarse geometry and Callias quantisation (2020, Transactions of the American Mathematical Society)
  • Witten Genus and Elliptic Genera for Proper Actions (2021, Communications in Mathematical Physics)
  • Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (2021, Annals of K-Theory)
  • Equivariant Callias index theory via coarse geometry (2021, Annales de l'institut Fourier)
  • $T$-duality, Jacobi forms and Witten-Gerbe modules (2021, Advances in Theoretical and Mathematical Physics)

Frequent coauthors collaborating with Varghese Mathai include:

  • Hao Guo
  • Fei Han
  • Peter Hochs
  • Richard Melrose
  • Jaklyn Crilly

Best Publications

  • Superconnections, thom classes, and equivariant differential forms

    Varghese Mathai;Varghese Mathai;Daniel G. Quillen;Daniel G. Quillen

  • Twisted K-theory and K-Theory of Bundle Gerbes

    Peter Bouwknegt;Alan L. Carey;Varghese Mathai;Michael K. Murray

  • T-Duality: Topology Change from H -Flux

    Peter Bouwknegt;Jarah Evslin;Varghese Mathai

  • T-duality for torus bundles via noncommutative topology

    Varghese Mathai;Jonathan Rosenberg

  • D-branes, B fields and twisted K theory

    Peter Bouwknegt;Varghese Mathai

  • T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology

    Varghese Mathai;Jonathan M. Rosenberg

  • Nonassociative Tori and Applications to T-duality

    Peter Bouwknegt;Keith Hannabuss;Varghese Mathai

  • Approximating L2-invariants and the Atiyah conjecture

    Józef Dodziuk;Peter Linnell;Varghese Mathai;Thomas Schick

  • L2-analytic torsion

    Varghese Mathai

  • Topology and H -Flux of T -Dual Manifolds

    Peter Bouwknegt;Jarah Evslin;Varghese Mathai

  • T-duality for principal torus bundles

    Peter Bouwknegt;Keith Hannabuss;Varghese Mathai

  • T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group

    Varghese Mathai;Jonathan Rosenberg

  • Quantum Hall Effect on the Hyperbolic Plane

    Alan L. Carey;Keith Hannabuss;Varghese Mathai;P. J. McCann

  • Some relations between twisted K-theory and e8 gauge theory

    Varghese Mathai;Hisham Sati

  • Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians

    Unknown

  • Chern character in twisted K theory: Equivariant and holomorphic cases

    Varghese Mathai;Danny Stevenson

  • T-duality for principal torus bundles and dimensionally reduced Gysin sequences

    Peter Bouwknegt;Keith Hannabuss;Varghese Mathai

  • Quantum Hall Effect on the Hyperbolic Plane

    A. Carey;K. Hannabus;V. Mathai;P. McCann

  • Twisted index theory on good orbifolds. II. Fractional quantum numbers

    Matilde Marcolli;Varghese Mathai

  • D-Branes, RR-Fields and Duality on Noncommutative Manifolds

    Jacek Brodzki;Varghese Mathai;Jonathan Rosenberg;Richard J. Szabo

  • On Mysteriously missing T-duals, H-flux and the T-duality group

    Varghese Mathai;Jonathan M. Rosenberg

Frequent Co-Authors

Jonathan Rosenberg
Jonathan Rosenberg University of Maryland, College Park
Alan L. Carey
Alan L. Carey Australian National University
Matilde Marcolli
Matilde Marcolli California Institute of Technology
Richard J. Szabo
Richard J. Szabo Heriot-Watt University
Thomas Schick
Thomas Schick University of Göttingen
Thierry Coulhon
Thierry Coulhon PSL University
Daniel Quillen
Daniel Quillen University of Oxford

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