معرفی
Carlos I. Perez-Sanchez is a postdoctoral researcher at the Institute for Theoretical Physics, University of Heidelberg, working under Răzvan Gurău. He previously held postdoctoral positions at the University of Warsaw (2021) and completed his PhD in mathematics at the University of Münster under Raimar Wulkenhaar. His research spans mathematical physics, focusing on random noncommutative geometry, tensor field theory, and their intersections with quantum gravity, functional renormalization, and bootstrap methods.
His work on noncommutative geometry involves quantizing spectral triples via random matrices and unitary matrix ensembles to model gauge-Higgs theories and quantum gravity. He has advanced tensor field theory through topological recursion and Ward-Takahashi identities, bridging combinatorial structures with physical partition functions. His recent focus on functional renormalization (Wetterich equation) explores the renormalization group flow in multi-trace matrix models and free algebra frameworks.
Publications include 15 recent articles (2025–2018) on topics like loop equations, Borel summability, and quiver-based noncommutative geometries. He co-organized workshops such as The QFT Path (2024) and Random Geometry in Heidelberg (2022), and has delivered talks at institutions in Bordeaux, Vienna, Warsaw, and Okinawa. His teaching includes Theoretical Statistical Physics and Large-N Methods in Field Theory at Heidelberg.
