
About
Stefan Patrikis is a Professor of Mathematics at The Ohio State University (OSU), specializing in Number Theory, Automorphic Forms, and Arithmetic Geometry. His research focuses on the interplay between Galois representations, automorphic forms, and motives. He holds an NSF CAREER Grant (DMS-1752313/DMS-2120325) supporting his work on these topics.
Research interests include: arithmetic geometry, Galois representations, motives, and their connections to automorphic forms. He has contributed to potential automorphy theorems, rigid local systems, and deformation theory of Galois representations.
Students
Current PhD advisees include Yifei Zhang, Luke Wiljanen, Mehmet Basaran, Jake Huryn, Min Shi, and Stefan Nikoloski. Notable former students: Allechar Serrano López (Harvard), Christian Klevdal (UC San Diego), Kevin Childers (University of Arizona), and Shiang Tang (UIUC).
Teaching
Recent courses at OSU: Modular Forms (Math 8160), Foundations of Higher Mathematics (Math 3345), Algebraic Number Theory (Math 7300). Taught advanced topics courses on deformation theory, geometric Satake, and cohomology of arithmetic groups. Active in summer programs for high school students (Ross Mathematics Program, Utah Summer Program).
Collaborations
Frequent co-authors include Najmuddin Fakhruddin, Chandrashekhar Khare, Christian Klevdal, and Richard Taylor. Research spans algebraic geometry, representation theory, and number theory with applications to Langlands program and motivic conjectures.
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