(I) Local theory of representation on GL(2)
(1) Weil representations on SL(2)
(2) Explicit construction of representations on GL(2) as quotients of Weil representations
(3) Construction of Whittaker models and Kirillov models
(4) Classification of admissibl
e irreducible representations on GL(2)
(II) Eisenstein series on GL(2) and applications
(1) Intertwining operators
(2) Explicit computation of Fourier coefficients and constant terms
(3) Non-vanishing of the Riemann zeta function at 1+it, t\not =0
(4) Langlands' computation of Tamagawa number of SL(2)
(III) Theta liftng
(1) Local Jacquet-Langlands correspondence
(2) Jacquet-Langlands-Shimizu lift
(IV) Theory of L-functions
(1) L-functions for GL(2) and converse theroems
(2) L-functions for GL(2)xGL(2): Rankin-Selberg convolution
(3) Quadratic base change