Daniel Berwick Evans

Daniel Berwick Evans is an Associate Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign, specializing in the intersection of theoretical physics and pure mathematics with emphasis on supersymmetric quantum field theories, differential geometry, and algebraic topology.

His academic journey includes a PhD from UC Berkeley (2013) under Peter Teichner, followed by a Szego Assistant Professorship at Stanford University (2013-2015).

Evans' research investigates deep connections between quantum field theory and topological structures, with specific focus on elliptic cohomology, equivariant topology, and vector bundle geometries. His work frequently employs higher categorical frameworks to resolve problems in mathematical physics, particularly exploring how supersymmetric field theories generate topological invariants through modular forms and string-theoretic constructions.

Analysis of his recent publications reveals a cohesive trajectory toward unifying discrete and continuous geometric methods, with significant contributions to discrete exterior calculus, infinity-sheaf classifications, and principal 2-group bundles. These works collectively advance the mathematical foundations of topological quantum field theories and their applications to string theory.

His major recognition includes:

• NSF CAREER Award (2024)

As an NSF CAREER awardee, Evans leads a federally funded research program integrating graduate mentorship with collaborative investigations into quantum symmetries and topological invariants, positioning his work at the forefront of mathematical physics.