This book contains contributions presented at the conference, 'QMath-8: Mathematical Results in Quantum Mechanics', held at Universidad Nacional Autonoma de Mexico in December 2001. The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory, and nuclear physics. Topics vary from spectral properties of the Schrodinger equation of various quantum systems to the analysis of quantum computation algorithms. The book is suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.