Professor
Mathai Varghese
FAA
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
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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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