B.Sc., M.Sc. (McMaster), Ph.D. (M.I.T.)
toth@math.mcgill.ca
Tel: (514) 398-3847
RESEARCH INTERESTS My research interests include partial differential equations, mathematical physics and spectral theory. In particular, I am interested in questions concerning quantum chaos and the correspondence between the quasiclassical behaviour of spectral data and the associated classical dynamical system. RECENT PUBLICATIONS 1) John A. Toth, On a class of spherical harmonics associated with rigid body motion, Mathematics Research Letters, vol. 1, 1994, pp. 203-210. 2) John A. Toth, Various quantum mechanical aspects of quadratic forms, Journal of Functional Analysis, vol. 130, 1995, pp. 1-42. 3) John A. Toth, Eigenfunction localization in the quantized rigid body, Journal of Differential Geometry, vol. 43, 1996, pp. 844-858. 4) John A. Toth, Eigenfunction decay estimates in the quantum integrable case, Duke Mathematical Journal, vol. 93 (2), 1998, pp. 231-255. 5) John A. Toth, On the small-scale mass concentration of modes, Communications in Mathematical Physics, vol. 206, 1999, pp. 409-428. 6) John A. Toth, On the quantum expected values of integrable metric forms, Journal of Differential Geometry, vol. 52, 1999, pp. 327-374. 7) John A. Toth (with M. Min-Oo), The Levy concentration phenomenon for special functions on rank-one symmetric spaces, Methods and Applications in Analysis, vol. 7 (1), 2000, pp. 1-13. 8) John A. Toth (with S. Zelditch), Riemannian manifolds with uniformly bounded eigenfunctions, Duke Mathematical Journal, 2000 (22 pages)(to appear). HONOURS & AWARDS 1) Alfred P. Sloan Research Fellow (Alfred P. Sloan Foundation) (2000-2002) 2) Awarded the André Aisenstadt Prize in Mathematics (CRM) (1998) 3) Invited Visiting Member of the Fields Instute for Mathematical Sciences (University of Toronto) (Fall, 1997) 4) Invited Visiting Member of the Centre de Recherches Mathématiques (CRM) (Fall Semester, 1996) 5) Benjamin Pierce Assistant Professor (Harvard University) (1993-1995) 6) Reviewer for the senior Killam Research Fellowship (Canada Council) (1995) 7) Awarded the Milton Prize for Young Scientists (Harvard University) (1994) 8) NSERC Postdoctoral Fellow (Harvard University) (1993-1995) 9) Norman Levinson Fellow (Massachusetts Institute of Technology) (1989). COURSES TAUGHT In the fall of 2000 I will be teaching Mathematics 189-576A, (Geometry and Topology I). This course will be an introduction to point-set topology, the fundamental group and covering spaces. In the spring of 2000, I teach Mathematics 189-576B, (Geometry and Topology II). This course is an introduction to manifolds and de Rham cohomology. TOP OF PAGE |
