Paul Breiding is a PhD student with interests in condition in linear and convex optimization, and in algebraic number theory. His current research focuses on the smoothed analysis of the RCC condition number in linear optimization. Breiding studied mathematics with a focus on algebraic number theory and minored in computer science at the Georg-August University in Göttingen. His thesis, under the supervision of Preda Mihailescu and Peter Bürgisser, deals with aspects of a Newton method for solving polynomial equations over the p-adic numbers. Shortly after graduating, Breiding looked for a PhD position mirroring his interests and in 2013 he joined his second supervisor Peter Bürgisser's group at TU Berlin.