Professor Mathai Varghese
|Position||Elder Professor of Mathematics|
|Org Unit||Mathematical Sciences|
|Telephone||+61 8 8313 4173|
Ingkarni Wardli Building
Professor Mathai Varghese is the Director of the Institute for Geometry and its Applications (IGA). He is also the Elder Professor of Mathematics within the School of Mathematical Sciences at the University of Adelaide, Australian Laureate Fellow, as well as an Adjunct Professor of Mathematics within the Mathematical Sciences Institute at the Australian National University.
Mathai was elected fellow of the Australian Academy of Science (2011), fellow of the Australian Mathematical Society (2000) and fellow of the Royal Society of South Australia (2013).
Mathai was awarded the Australian Mathematical Society Medal in 2000.
2016 - current, Editor, Letters of Journal of Geometry and Physics,
2017-18, Managing Guest Editor, JGP special issue on Noncommutative Geometry 2017: a celebration of Alain Connes 70th birthday
2011, Guest Editor for two special issues, no. 1 and no. 2, volume 90, 2011, Journal of the Australian Mathematical Society, Cambridge University Press, Cambridge, UK. (ERA Journal Ranking = B)
2008 - 2016, Editor in charge of the section, Global Analysis, Noncommutative Geometry, and the Mathematics of String Theory, Proceedings of the American Mathematical Society, Providence, Rhode Island, USA. (ERA Journal Ranking = A)
- Ph.D. Doctor of Philosophy (Massachusetts Institute of Technology)
- B.A. Bachelor of Arts (Illinois Institute of Technology)
- I.C.S.E. High School Certificate (Bishop Cotton Boys' School, Bangalore)
Awards & Achievements
2016-2018, Member, Sectional Committee 1: Mathematical Sciences, Australian Academy of Science.
Further information on election of candidates to the Australian Academy of Science can be found here. 2015-2017, Member, Elizabeth and Frederick White Research Awards Committee,
Australian Academy of Science. Further information on the award can be found here. 2013-current, Sir Thomas Elder Chair, full Professor (level E), University of Adelaide, Adelaide.
2013-2015, awarded ARC Discovery Outstanding Researcher Award. ,
2011, elected Fellow, Australian Academy of Science;
2009 - current, Director, Institute for Geometry and its Applications, University of Adelaide, Adelaide;
2009, Chair, selection committee for the Mahler Lecturer.
2007-2011, awarded ARC Professorial Fellowship. ,
2006-2009, Vice President (portfolio: annual conferences), Australian Mathematical Society;
2007, Member, selection committee for the AustMS medal.
2006, (spring semester) Senior Research Fellow, Erwin Schrödinger Institute, Vienna.
2006 - current, Personal Chair, full Professor (level E), University of Adelaide, Adelaide.
2001 - 2005, ARC Senior Research Fellow (level D) University of Adelaide, Adelaide.
Geometric analysis, mathematical physics, noncommutative geometry, mathematics of string theory, mathematics of quantum theory, topological insulators.
2014, String theory and contemporary culture: Vibrating strings, similar to the vibrations of violin strings, give rise to fundamental particles such as quarks and gluons, which in turn are the constituents of protons, neutrons, and electrons etc., establishing a close connection between music and string theory. Since science drives our economy, changing our culture by creating a popular awareness and understanding of science is an important goal of ours. An example is the recent consultancy role of Bouwknegt and myself on a production of the Australian Dance Theatre entitled Multiverse, where the main choreographer, Garry Stewart, has used duality in string theory to generate ideas for a wonderful dance piece on both artistic and intellectual levels. Multiverse premiered at the Space Theatre, Adelaide Festival Centre on 10 July 2014 and we were invited guests.
Detailed Research Interests
ARC Discovery Project grants (current) :
Parametrised gauge theory and positive scalar curvature,
(jointly with D. Baraglia, Jan. 2017- Dec. 2019, $335K awarded)
Ubiquity of K-theory and T-duality
(jointly with P. Bouwknegt, Jan. 2015- Dec. 2017, $370K awarded).
Mathai has co-authored over 100 refereed publications.
Selected recent publications
V. Mathai and J. Rosenberg, Group dualities, T-dualities, and twisted K-theory, Journal of the London Mathematical Society, (to appear) 29 pages, [1603.00969]
V. Mathai and G. C. Thiang, Global topology of Weyl semimetals and Fermi arcs, Journal of Physics A: Mathematical and Theoretical (Letter) 50 no. 11 (2017) 11LT01, 11pp [1607.02242] publicity at JPhys+
K. Hannabuss, V. Mathai, G. C. Thiang, T-duality simplifies bulk-boundary correspondence: the parametrised case, Advances in Theoretical and Mathematical Physics, 20 no. 5 (2016) 1193-1226, [1510.04785]
V. Mathai and G.C. Thiang, T-duality and topological insulators, Journal of Physics A: Mathematical and Theoretical (Fast Track Communication) 48 (2015) 42FT02 (10pp), [1503.01206] publicity at IOPSCIENCE
M-T. Benameur, V. Mathai, Index type invariants for twisted signature complexes and homotopy invariance, Mathematical Proceedings of the Cambridge Philosophical Society, 156 no.3 (2014) 473-503, [1202.0272]
M-T. Benameur, V. Mathai, Conformal invariants of twisted Dirac operators and positive scalar curvature J. Geometry and Physics, 70 (2013) 39-47, [1210.0301] Erratum , J. Geometry and Physics, 76 (2014) 263-264.
V. Mathai, R.B. Melrose, I.M. Singer, The index of projective families of elliptic operators: the decomposable case, Asterisque, 328 (2009) 255-296, [0809.0028]
J. Brodzki, V. Mathai, J. Rosenberg, R. Szabo, Noncommutative correspondences, duality and D-branes in bivariant K-theory, Advances in Theoretical and Mathematical Physics, 13 no. 2 (2009) 497-552. [0708.2648]
- FAA Fellow, Australian Academy of Science
- FAustMS Fellow, Australian Mathematical Society
- FRSSA Fellow, Royal Society of South Australia
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Entry last updated: Monday, 18 Dec 2017
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