• Address:  Room 2-587, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
• Telephone: (work): 1-617-253-4129
• Facsimile: (work): 1-617-253-4358
• E-mail:  vmathai@mit.edu
• URL:  http://www.mit.edu/~vmathai/
• Citizenship:  Australian citizen
• Membership: Australian Mathematical Society

Academic employment history:
(1) L.E. Dickson Instructor, Department of Mathematics, University of Chicago, Chicago, Illinois 60637, USA., (1986-87).
(2) ARC Research Associate/Senior Research Associate, Department of Pure Mathematics, University of Adelaide, Adelaide 5005, Australia, (January 1989-September 1994).
(3) ARC Australian Research Fellow, Department of Pure Mathematics, University of Adelaide, Adelaide 5005, Australia, (October 1994 - August 2000).
(4) Clay Mathematical Institute Research Scholar and Visiting Scientist, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA, (September 2000 - July 2001).
(5)* ARC Australian Senior Research Fellow, (August 2001 -).

Prizes and Awards:
(1) 1981 Academic Achievement Award, Illinois Institute of Technology, Chicago, USA.
(2) 2000 Medal of the Australian Mathematical Society, (July 2000).
(3) 2000 Fellow of the Australian Mathematical Society, FAustMS, (August 2000).

Research grants awarded (since 1994):
(1) ARC Small Grant, University of Adelaide, (1994-6), ``II<sub>¥</sub> Perturbation theory''.
(2) ARC Small Grant, University of Adelaide, (1995), ``Superconnections and Thom classes''.
(3) ARC Small Grant, University of Adelaide, (1995), ``Index theory, geometry and applications'', (with Carey, Zhang and Murray)
(4) ARC Large Grant, University of Adelaide, (1996-98), ``Index theory, geometry and applications'' (with Carey, Zhang).
(5) ARC Small Grant, University of Adelaide, (1997), ``Complex and symplectic geometry and invariants of manifolds'' (with Wu).
(6) ARC Small Grant, University of Adelaide, (1998), ``Complex and symplectic geometry, invariants of manifolds and the quantum Hall effect'' (with Wu).
(7) ARC Small Grant, University of Adelaide, (1999), ``Quantum field theory and noncommutative geometry'' (with Wu).
(8)* ARC Small Grant, University of Adelaide, (2001), ``String theory and noncommutative geometry'' (with Bouwknegt).
(9)* ARC Large Grant, (2001-03), ``New approaches to index theory'' ($150,000/-).

Postgraduate research students supervised:
(1) Luke Schubert. Ph.D. Thesis title: ``Spectral properties of the Laplacian on p-forms on the Heisenberg group'', (Ph.D. awarded September 1997) University of Adelaide, (with Prof. A. Carey).
(2) Stuart Yates. M.Sc. Thesis title: ``Discrete Morse theory and L² homology'', (M.Sc. (research) awarded March 1998) University of Adelaide, continuing with Scholarship for Ph.D.

Some other research related professional activities:
Have regularly assessed grants and fellowships for NSF (USA), ARC (Australia), Israel;
have refereed articles for Jour. of Functional Analysis, Commun. in Analysis and Geometry, Bull. and Jour. of the Australian Math. Society, Bull. and Jour. of the London Math. Society, Commun. in Math. Physics;
have regularly organized research seminars.

International research workshop organized:
Have co-organized with Dr. P. Bouwknegt, a major international workshop entitled ``Fractional quantum Hall effect on the eve of the new millennium'' held on August 16-20, 1999 at the National Institute for Theoretical Physics (NITP) at the University of Adelaide, Australia. There were 6 international and 8 interstate invited speakers, including Professor J. Bellissard (Universite Paul Sabatier, Toulouse, France). The workshop was sponsored by: Institute for Geometry and its Applications, NITP, National Research Symposium and the ARC.

Teaching experience:
Have taught freshman courses in Calculus and Advanced Calculus, University of Chicago, 1986-87;
From 1990-2000, at U. of Adelaide, have periodically taught B.Sc. (honours) level courses in Differential Geometry, Algebraic Topology and Analysis on manifolds;
Guest lecturer at Prof. Singers MIT course, Fall 2000.

Some research talk invitations accepted in 2000/2001:
(1) Invited speaker, ``Noncommutative geometry'', MFO, Oberwolfach, Germany, Mar.26-Apr.1, 2000.
(2) Invited speaker, ``Perspectives in gauge theory, calibrated geometry, and related topics'', Martina Franca, Italy, May 22-27, 2000.
(3) Invited speaker, ``Geometric Analysis and Applications'', ANU, Canberra, June 26-30, 2000.
(4) Invited speaker, special session in Differential Geometry and PDE, 2000 annual general meeting of the Australian Mathematical Society, Brisbane, July 2-5, 2000.
(5) Invited speaker, Fifth Pacific Rim Geometry Conference, Mathematical Institute, Tohoku University, Sendai, Miyagi, Japan, July 25-Aug. 2, 2000.
(6) Invited seminar speaker at: MIT (Oct. 16, Oct. 31 and Nov. 7, 2000, Feb. 23, 2001), SUNY, Stony Brook, (Jan 29, 2001), U. of Texas, Austin (Feb. 2001), Northeastern U. (Feb. 2001), IUPUI, Indianapolis (April, 2001), OSU (April 2001), U. of Illinois, Urbana-Champaign (April 2001), UND (April 2001), USC (May 2001), U. of Tel-Aviv, Israel (August 2001) etc.