Professor

Mathai Varghese

FAA

Mathai Varghese
Image Description
Mathai Varghese is a major contributor to the field of geometric analysis. He is justly famous for several seminal articles, including what is known in the literature as the Mathai-Quillen formalism in topological field theories; L2-invariants for covering spaces; the hyperbolic space and noncommutative geometry model of the fractional quantum Hall effect; projective Atiyah-Singer index theory; twisted K-theory and T-duality in String theory which is popularly known as the ‘Theory of Everything’. In lay-person’s terms, he has proved a number of important results that involve the geometry and topology of manifolds, familiar examples in low dimensions are curves and surfaces.

Fields of research

49 MATHEMATICAL SCIENCES
  • 4902 MATHEMATICAL PHYSICS
    • 490205 Mathematical aspects of quantum and conformal field theory, quantum gravity and
    • 490206 Statistical Mechanics, Physical Combinatorics and Condensed Matter Maths
  • 4904 PURE MATHEMATICS
    • 490402 Algebraic and Differential Geometry
    • 490403 Category Theory, K Theory, Homological Algebra
    • 490408 Operator Algebras and Functional Analysis
    • 490410 Partial Differential Equations

For full list of research codes, please visit the ARC Website .

Expertise type

  • String Theory
  • Differential Geometry
  • Partial Differential Equations
  • Condensed Matter Physics
  • Mathematical Physics
  • Mathematics

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