Varghese Mathai
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Australian mathematician
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Mathematics
Varghese Mathai's Degrees
- Masters Mathematics University of Melbourne
- Bachelors Mathematics University of Melbourne
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Why Is Varghese Mathai Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mathai Varghese is a mathematician at the University of Adelaide. His first most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship. In 2021, he was awarded the prestigious Hannan Medal and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious George Szekeres Medal which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.
Varghese Mathai's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Superconnections, thom classes, and equivariant differential forms (1986) (423)
- Twisted K-Theory and K-Theory of Bundle Gerbes (2001) (282)
- T-Duality: Topology Change from H-Flux (2003) (281)
- D-branes, B fields and twisted K theory (2000) (214)
- T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology (2004) (186)
- Nonassociative Tori and Applications to T-Duality (2004) (140)
- Approximating L2‐invariants and the Atiyah conjecture (2001) (119)
- L2-analytic torsion (1992) (104)
- Topology and H-flux of T-dual manifolds. (2003) (102)
- T-duality for principal torus bundles (2003) (95)
- Transition to the Ultimate Regime in Two-Dimensional Rayleigh-Bénard Convection. (2018) (86)
- Bubbly and Buoyant Particle–Laden Turbulent Flows (2020) (81)
- Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians (2003) (73)
- Quantum Hall Effect on the Hyperbolic Plane (1997) (71)
- Chern Character in Twisted K-Theory: Equivariant and Holomorphic Cases (2002) (70)
- On mysteriously missing T-duals, H-flux and the T-duality group (2004) (69)
- Airflows inside passenger cars and implications for airborne disease transmission (2020) (66)
- D-Branes, RR-Fields and Duality on Noncommutative Manifolds (2006) (65)
- Some relations between twisted K-theory and e8 gauge theory (2003) (65)
- T-duality for principal torus bundles and dimensionally reduced Gysin sequences (2004) (59)
- Microbubbles and Microparticles are Not Faithful Tracers of Turbulent Acceleration. (2016) (50)
- Twisted Index Theory on Good Orbifolds, II:¶Fractional Quantum Numbers (1999) (49)
- ApproximatingL2Invariants of Amenable Covering Spaces: A Combinatorial Approach (1996) (47)
- APPROXIMATING SPECTRAL INVARIANTS OF HARPER OPERATORS ON GRAPHS II (2000) (46)
- T-Duality Simplifies Bulk-Boundary Correspondence (2015) (44)
- Experimental investigation of the turbulence induced by a bubble swarm rising within incident turbulence (2017) (44)
- TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY (1999) (42)
- Controlling Heat Transport and Flow Structures in Thermal Turbulence Using Ratchet Surfaces. (2017) (41)
- Spectral flow, eta invariants, and von Neumann algebras (1992) (41)
- FRACTIONAL ANALYTIC INDEX (2004) (41)
- The index of projective families of elliptic operators: the decomposable case (2002) (39)
- Wake-Driven Dynamics of Finite-Sized Buoyant Spheres in Turbulence. (2015) (39)
- Determinant lines, von Neumann algebras and L2 torsion. (1996) (39)
- On a generalised Connes–Hochschild–Kostant–Rosenberg theorem (2004) (38)
- Analytic torsion for twisted de Rham complexes (2008) (36)
- Self-sustained biphasic catalytic particle turbulence (2019) (35)
- L2-torsion invariants (1992) (35)
- Hemodynamic comparison of stent configurations used for aortoiliac occlusive disease (2017) (35)
- Final fate of a Leidenfrost droplet: Explosion or takeoff (2019) (32)
- Flutter to tumble transition of buoyant spheres triggered by rotational inertia changes (2018) (32)
- Geometric quantization and families of inner products (2013) (32)
- Experimental investigation of heat transport in homogeneous bubbly flow (2018) (32)
- Geometric quantization for proper actions (2008) (30)
- Noncommutative principal torus bundles via parametrised strict deformation quantization (2009) (28)
- Towards the fractional quantum Hall effect: a noncommutative geometry perspective (2005) (28)
- Translational and rotational dynamics of a large buoyant sphere in turbulence (2016) (28)
- Noncommutative correspondences, duality and D-branes in bivariant K-theory (2007) (27)
- T-duality of topological insulators (2015) (27)
- Differential Topology of Semimetals (2016) (27)
- Some relations between twisted K-theory and E 8 gauge theory (2003) (26)
- Approximating L^2 invariants of amenable covering spaces: A heat kernel approach (1996) (24)
- K-theory of Twisted Group C -algebras and Positive Scalar Curvature (23)
- Dispersion of Air Bubbles in Isotropic Turbulence. (2018) (23)
- Global topology of Weyl semimetals and Fermi arcs (2016) (23)
- T-Duality Simplifies Bulk–Boundary Correspondence: Some Higher Dimensional Cases (2015) (22)
- A noncommutative sigma-model (2009) (22)
- Semiclassical Asymptotics and Gaps in the Spectra of Magnetic Schrödinger Operators (2001) (22)
- The Novikov Conjecture for Low Degree Cohomology Classes (2003) (22)
- QUANTISING PROPER ACTIONS ON SPIN-MANIFOLDS (2015) (21)
- Quantum Hall Effect on the Hyperbolic Plane in the Presence of Disorder (1998) (21)
- Heat kernels and the range of the trace on completions of twisted group algebras (2006) (20)
- Equivariant holomorphic Morse inequalities. I. Heat kernel proof (1996) (20)
- C*-algebras in tensor categories (2007) (19)
- Twisted K-homology theory, twisted Ext-theory (2000) (18)
- Flux compactifications on projective spaces and the $S$-duality puzzle (2005) (18)
- T-duality simplifies bulk–boundary correspondence: the noncommutative case (2016) (18)
- Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory (2003) (18)
- Quantising proper actions on $\mathrm{Spin}^c$-manifolds (2014) (17)
- Analytic Torsion of Z_2-graded Elliptic Complexes (2010) (17)
- Quantum Hall Effect and Noncommutative Geometry (2000) (17)
- Exotic Twisted Equivariant Cohomology of Loop Spaces, Twisted Bismut–Chern Character and T-Duality (2014) (17)
- Mass and Moment of Inertia Govern the Transition in the Dynamics and Wakes of Freely Rising and Falling Cylinders. (2017) (16)
- Type I D-branes in an H-flux and twisted KO-theory (2003) (15)
- T-duality trivializes bulk-boundary correspondence (2015) (14)
- Equivariant and fractional index of projective elliptic operators (2006) (14)
- Positive scalar curvature and Poincaré duality for proper actions (2016) (14)
- The geometry of determinant line bundles in noncommutative geometry (2008) (13)
- Kinematics and dynamics of freely rising spheroids at high Reynolds numbers (2020) (13)
- Mixing induced by a bubble swarm rising through incident turbulence (2018) (13)
- Dynamics of heavy and buoyant underwater pendulums (2019) (12)
- T-duality trivializes bulk-boundary correspondence: the parametrised case (2015) (12)
- T-duality of current algebras and their quantization (2012) (11)
- Finite-sized rigid spheres in turbulent Taylor–Couette flow: effect on the overall drag (2017) (11)
- Spherical T-Duality (2014) (11)
- T-duality for circle bundles via noncommutative geometry (2013) (10)
- Gap-labelling conjecture with nonzero magnetic field (2015) (10)
- Twisted analytic torsion (2009) (10)
- Spin-structures and proper group actions (2014) (9)
- Group dualities, T‐dualities, and twisted K ‐theory (2016) (9)
- Topology and Flux of T-Dual Manifolds with Circle Actions (2011) (9)
- Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence (2017) (9)
- L2 torsion without the determinant class condition and extended L2 cohomology (2004) (9)
- Water entry of spheres into a rotating liquid (2020) (9)
- T-duality as a duality of loop group bundles (2009) (9)
- PARAMETRIZED STRICT DEFORMATION QUANTIZATION OF C*-BUNDLES AND HILBERT C*-MODULES (2010) (9)
- Spectral sections, twisted rho invariants and positive scalar curvature (2013) (9)
- Twisted Chiral de Rham Complex, Generalized Geometry, and T-duality (2014) (9)
- DISCRETE MORSE THEORY AND EXTENDED L2 HOMOLOGY (1999) (8)
- Index type invariants for twisted signature complexes and homotopy invariance (2012) (8)
- Proof of the magnetic gap-labelling conjecture for principal solenoidal tori (2018) (8)
- Harmonic Cheeger–Simons characters with applications (2008) (8)
- Statistics of rigid fibers in strongly sheared turbulence (2019) (8)
- Von Neumann spectra near the spectral gap (1996) (8)
- Spherical T-duality II: an infinity of spherical T-duals for non-principal SU(2)-bundles (2014) (8)
- T-duality simplifies bulk-boundary correspondence: the general case (2016) (8)
- Twisted higher index theory on good orbifolds and fractional quantum numbers (1998) (8)
- On the impact of a concave nosed axisymmetric body on a free surface (2015) (8)
- Convective heat transfer along ratchet surfaces in vertical natural convection (2019) (8)
- Experimental study of the heat transfer properties of self-sustained biphasic thermally driven turbulence (2020) (8)
- Non-negative scalar curvature (1992) (7)
- Conformal invariants of twisted Dirac operators and positive scalar curvature (2012) (7)
- Holomorphic Quillen determinant line bundles on integral compact Kähler manifolds (2012) (7)
- T-Duality and Topological Insulators (2015) (7)
- Heat kernels and Thom forms (1992) (7)
- T-Duality in an H-Flux: Exchange of Momentum and Winding (2017) (7)
- Entire cyclic homology of stable continuous trace algebras (2004) (7)
- Twisted L^2 invariants of non-simply connected manifolds (1996) (7)
- D-branes, KK-theory and duality on noncommutative spaces (2007) (7)
- Nonassociative Strict Deformation Quantization of C*-Algebras and Nonassociative Torus Bundles (2010) (6)
- Bundle gerbes and moduli spaces (2011) (6)
- T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group (2022) (6)
- Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (2020) (6)
- Reply: Absence of Evidence for the Ultimate Regime in Two-Dimensional Rayleigh-Benard Convection (2019) (6)
- Von Neumann Algebra Invariants of Dirac Operators (1998) (6)
- Yang-Mills theory for bundle gerbes (2005) (6)
- Aerosol transmission in passenger car cabins: Effects of ventilation configuration and driving speed (2022) (5)
- Spinc, K-homology and proper actions (2016) (5)
- Coarse geometry and Callias quantisation (2019) (5)
- Witten Genus and Elliptic Genera for Proper Actions (2018) (5)
- Equivariant Callias index theory via coarse geometry (2019) (5)
- Nonlinear fluid damping of elastically mounted pitching wings in quiescent water (2021) (5)
- Operator Algebra Quantum Homogeneous Spaces of Universal Gauge Groups (2010) (4)
- On the homotopy invariance of ² torsion for covering spaces (1998) (4)
- Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality (2014) (4)
- Homotopy invariance of Novikov-Shubin invariants and $L^2$ Betti numbers (1997) (4)
- Projective elliptic genera and elliptic pseudodifferential genera (2019) (4)
- On analytic torsion over C*-algebras (1999) (4)
- Approximating $L^2$ torsion on amenable covering spaces (2000) (4)
- Correspondences, von Neumann Algebras and Holomorphic L 2 Torsion (1997) (4)
- On the homotopy invariance of L^2 torsion for covering spaces (1997) (3)
- T-duality of singular spacetime compactifications in an H-flux (2017) (3)
- Enhanced dispersion of big bubbles in turbulence (2018) (3)
- Deformation, forces, and flows associated with extremely compliant membrane disks (2020) (3)
- TWISTED L2 INVARIANTS OF NON-SIMPLY CONNECTED MANIFOLDS AND ASYMPTOTIC L2 MORSE INEQUALITIES (2005) (3)
- Geometry of pseudodifferential algebra bundles and Fourier integral operators (2012) (3)
- Exotic Courant algebroids and T-duality (2019) (3)
- Formal geometric quantisation for proper actions (2014) (3)
- Nonlinear modeling and characterization of ultrasoft silicone elastomers (2020) (3)
- Kinematics and dynamics of freely rising ellipsoids at high Reynolds numbers (2020) (2)
- Fractional quantum numbers via complex orbifolds (2018) (2)
- Zhu et al. Reply. (2019) (2)
- The Riemann–Roch Theorem on higher dimensional complex noncommutative tori (2019) (2)
- Enhanced Portable Customer Experience Using Community Computation in Offline Retail (2018) (2)
- Spherical T-duality and the spherical Fourier–Mukai transform (2015) (2)
- $T$-duality, Jacobi forms and Witten–Gerbe modules (2020) (2)
- Quantizing tame actions (2013) (2)
- Arithmetic Properties of Eigenvalues of Generalized Harper Operators on Graphs (2003) (2)
- Topological phases on the hyperbolic plane (2017) (2)
- Compliant membranes exhibit enhanced drag due to membrane fluctuations. (2020) (1)
- Video Frame Interpolation Using Deep Convolutional Neural Network (2018) (1)
- T-Duality Simplifies Bulk-Boundary Correspondence (2016) (1)
- ORBIFOLD FRACTIONAL QUANTUM HALL EFFECT (1)
- DYNAMICS OF FINITE-SIZED LIGHT SPHERES IN TURBULENCE (2015) (1)
- Large ellipsoids rising in quiescent fluids and turbulent flows (2018) (1)
- The air we breathe in a car (2021) (1)
- Fluid–structure interactions of energy-harvesting membrane hydrofoils (2022) (1)
- On the Chern Character in Higher Twisted K-Theory and Spherical T-Duality (2020) (1)
- Fractional quantum numbers, complex orbifolds and noncommutative geometry (2020) (1)
- Positive scalar curvature metrics via end-periodic manifolds (2017) (1)
- Operator algebra quantum groups of universal gauge groups (2010) (1)
- Index type invariants for twisted signature complexes (2012) (1)
- SUPERCONNECTIONS AND POSITIVE SCALAR CURVATURE 1 Superconnections , twisted actions andpositive scalar curvatureBy (0)
- Effect of particle moment of inertia on the dynamics and wakes of freely rising cylinders (2017) (0)
- Exotic Twisted Equivariant Cohomology of Loop Spaces, Twisted Bismut–Chern Character and T-Duality (2015) (0)
- T-duality simplifies bulk–boundary correspondence: the noncommutative case (2017) (0)
- I.M: Fractional analytic index (0)
- Ultimate thermal turbulence and asymptotic ultimate turbulence induced by wall-roughness (2018) (0)
- Fluid structure interactions of an oscillating compliant membrane hydrofoil (2020) (0)
- Experimental investigation of heat transport enhancement in bubbly flows (2017) (0)
- Rotation-triggered path instabilities of rising spheres and cylinder (2016) (0)
- Verlinde modules and quantization (2011) (0)
- Foreword to the Connes 70 Special Issue (2019) (0)
- REIDEMEISTER FRANZ TORSION (2013) (0)
- Rigid spherical particles in highly turbulent Taylor-Couette flow (2016) (0)
- Efficiency Enhancements in Hydrokinetic Energy Harvesting Achieved Using a Compliant Membrane Hydrofoil (2019) (0)
- A HEAT KERNEL PROOF (1997) (0)
- Nonassociative Strict Deformation Quantization of C*-Algebras and Nonassociative Torus Bundles (2012) (0)
- A CLINICAL STUDY ON TREATMENT OF LONG BONE FRACTURES USING EXTERNAL SKELETAL FIXATION IN DOGS (2012) (0)
- $L^2$ Reidemeister Franz Torsion (1989) (0)
- T-Duality Simplifies Bulk–Boundary Correspondence: Some Higher Dimensional Cases (2016) (0)
- Mixing of a passive scalar in a turbulent bubbly flow (2016) (0)
- Scale-invariant spins and tumbles in turbulence (2021) (0)
- Superconnections, twisted actions and positive scalar curvature (1999) (0)
- Foreword: String geometries, dualities and topological matter (2019) (0)
- Abstract Submitted for the DFD17 Meeting of The American Physical Society Anisotropic particles in highly turbulent Taylor-Couette flow1 (2017) (0)
- Witten Genus and Elliptic Genera for Proper Actions (2021) (0)
- Loop group actions on Cuntz algebras and geometric higher twists (2019) (0)
- D G ] 3 S ep 2 02 1 HIGHER LOCALISED Â-GENERA FOR PROPER ACTIONS AND APPLICATIONS (2021) (0)
- Foreword: VSI on Index Theory, Duality and Related Fields (2021) (0)
- Translational and rotational dynamics of a large buoyant sphere in turbulence (2016) (0)
- Anisotropic particles in highly turbulent Taylor-Couette flow (2017) (0)
- The Ring Structure of Twisted Equivariant KK-Theory for Noncompact Lie Groups (2019) (0)
- T-Duality in an H-Flux: Exchange of Momentum and Winding (2018) (0)
- and Quantum Spacetime in Physics (2006) (0)
- Convective heat transfer over ratchet surfaces in vertical natural convection (2018) (0)
- T-Duality in Type II String Theory via Noncommutative Geometry and Beyond(String, Duality and D-brane,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS) (2007) (0)
- Logarithmic temperature and velocity profiles in Rayleigh-B\'enard turbulence (2017) (0)
- T-duality with $H$-flux for $2d$ $\sigma$-models (2022) (0)
- Buoyant particles and fluid turbulence (2017) (0)
- Differential Topology of Semimetals (2017) (0)
- Corrigendum to “Conformal invariants of twisted Dirac operators and positive scalar curvature” [J. Geom. Phys. 70 (2013) 39–47] (2014) (0)
- Inequalities for the Novikov-Shubin invariants (1996) (0)
- Higher localised <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover></mml:math>-genera for proper actions and applications (2022) (0)
- Twisted Chiral de Rham Complex, Generalized Geometry, and T-duality (2015) (0)
- Exotic twisted equivariant K-theory (2017) (0)
- Communications in Mathematical Physics T-Duality : Topology Change from H-Flux (2004) (0)
- Fractional structures on bundle gerbe modules and fractional classifying spaces (2022) (0)
- Lift and Thrust Measurements on a Flapping Membrane Foil (2019) (0)
- Higher localised $\hat{A}$-genera for proper actions and applications (2021) (0)
- Dynamics of light particles in turbulence (2014) (0)
- Foreword (2020) (0)
- T-Duality and the Exotic Chiral de Rham Complex (2020) (0)
- An equivariant Poincaré duality for proper cocompact actions by matrix groups (2020) (0)
- Formal geometric quantisation for proper actions (2015) (0)
- On positivity of the Kadison constant and noncommutative Bloch theory (2000) (0)
- K T ] 2 0 Fe b 20 19 Equivariant Callias index theory via coarse geometry (2019) (0)
- T-duality, vertical holonomy line bundles and loop Hori formulae (2022) (0)
- Topology and Flux of T-Dual Manifolds with Circle Actions (2012) (0)
- Flutter to tumble transition of buoyant spheres triggered by rotational inertia changes (2018) (0)
- Spherical T-Duality (2015) (0)
- S-duality for higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes (2014) (0)
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