A survey of mirror principle ; Mirror symmetry: aspects of the first 10 years ; Lagrangian torus fibrations of Calabi-Yau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture ; Moduli space of stable maps ; Cohomological properties of ruled symplectic structures ; Spectral Lax pairs and Calogero-Moser systems ; M-theory tested by \mathcal {N}}=2 Seiberg-Witten theory ; Seiberg-Witten curves for elliptic models ; The periodic and open Toda lattice ; Exact integration methods for supersymmetric Yang-Mills theory ; Nonabelian D-branes and noncommutative geometry ; Evidence for winding states in noncommutative quantum field theory ; The discrete bound state spectrum of the rotating D0-brane system, and its decay by emission of Ramond-Ramond field radiation ; On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications ; Phase-transitions and tensor dynamics in theory ; Duality, Eisenstein series and exact thresholds ; Connectedness of the boundary in the AdS/CFT correspondence ; A note on the topology of the boundary in the AdS/CFT correspondence ; Holographic duals of 4D field theories ; Black hole thermodynamics from calculations in strongly-coupled gauge theory ; Correlation functions for orbifolds of the type ^N/S^N ; Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex ; On family rigidity theorems for Spin {c} manifolds ; Ample divisors, automorphic forms and Shafarevich's conjecture