معرفی
Mark Behrens is the John and Margaret McAndrews Professor of Mathematics at the University of Notre Dame. His research focuses on computational algebraic topology, particularly homotopy groups of spheres, chromatic homotopy theory, and applications to motivic homotopy.
Education includes a PhD from University of Chicago (2003) and BS degrees in Mathematics/Physics from University of Alabama. Research develops connections between tensor-triangular geometry, topological automorphic forms, and Goodwillie calculus. Current projects investigate equivariant analogs of Mahowald's theorem and derived functors in unstable homotopy.
Publications provide spectral algebra models for v-periodic phenomena, resolutions of telescope conjectures, and computational frameworks for tmf-based spectral sequences. Recent work establishes Lie algebra models for unstable homotopy and equivariant periodicity phenomena.
Awards include AMS Fellowship (2022), NSF CAREER grant (2011), and Sloan Fellowship (2007). Supervises 21 PhD students and postdocs investigating equivariant homotopy, factorization homology, and operad theory. Current grants support research on equivariant and motivic deformations of stable homotopy theory.
