Troyer was born April 18, 1968, in Linz, Austria. He completed University Studies in Technical Physics at the
Johannes Kepler Universität Linz, Austria, in 1991 as well as Diploma in Physics and Interdisciplinary PhD thesis at the
ETH Zürich Swiss Federal Institute of Technology Zurich in 1994. His PhD on "Simulation of Constrained Fermions in Low-Dimensional Systems" was completed under Diethelm Wurtz and
Thomas Maurice Rice, earning the
ETH medal for outstanding doctoral thesis Following earning his PhD he spent three years as a fellow of the Japanese Society for the Promotion of Sciences at the Institute for Solid State Physics. In 2000, he was awarded an assistant professorship of the
Swiss National Science Foundation. In June 2002 he became associate professor at the ETH Zurich and in 2005 Full Professor of Computational Physics before joining
Microsoft's quantum computing program in 2017. He is also an Affiliate Professor at the
University of Washington. He initiated the open-source project ALPS (Algorithms and Libraries for Physics Simulations), to make algorithms in many-body systems accessible to the scientific public. Troyer develops practical algorithms and applications for quantum computing with high performance computing, including library design, simulations of quantum devices, chemical reactions, neural networks and AI. He also studies simulation algorithms for quantum many body systems, quantum phase transitions, strongly correlated materials, and ultracold quantum gases. ==Honors and awards==