Dr. Faulstich earned his B.Sc. in Physics and Mathematics, as well as his M.Sc. in Mathematics, from the Technical University of Berlin. He obtained his Ph.D. in Computational Chemistry and Applied Mathematics from the University of Oslo, supervised by Dr. Simen Kvaal, Prof. Dr. Trygve Helgaker, and Prof. Dr. Andre Laestadius.

Following his Ph.D., he pursued a postdoctoral position at the Department of Mathematics at the University of California, Berkeley where he worked under Prof. Lin Lin. In August 2023, he was appointed as an Assistant Professor in the Department of Mathematical Sciences, where he now holds the Eliza Ricketts Foundation Career Development Chair.

Dr. Faulstich's research focus is on the development and implementation of new numerical methods for quantum simulation and quantum embedding. More generally, he is interested in the mathematical analysis and the development of electronic-structure methods in quantum chemistry and quantum computing.