Mathematical Methods In Physics - Proceedings Of The 1999 Londrina Winter School

This volume contains discussions on group representations of SL(2,R) and automorphic forms, with applications of the Selberg trace formula to the Landau spectrum for a uniform magnetic field on a Riemann surface, on particle creation in the early universe, Chern-Simons gauge theory on 3-manifolds, path integral representation of fractional spin particles, eta and zeta functions and Dirac operators, Schrdinger operators with periodic potential, elliptic genera for SUSY sigma models, quantum fields on curved space-times, black holes, and some discussions on string theory and quantum gravity.