Doctoral Theses: Recent submissions

Now showing items 40-42 of 22893

    • Invertible Functorial Field Theory for Symmetry Breaking and Interactions in Quantum Field Theory 

      Krulewski, Cameron (Massachusetts Institute of Technology, 2025-05)
      We apply invertible field theories to study two questions in quantum field theory. Specifically, we study reflection-positive fully-extended invertible field theories on manifolds with twisted spin structures, which are ...

    • Computational Tradeoffs and Symmetry in Polynomial Nonnegativity 

      Harris, Mitchell (Massachusetts Institute of Technology, 2025-05)
      Understanding when a polynomial is nonnegative on a region is a fundamental problem in applied mathematics. Although exact conditions for nonnegativity are computationally intractable, there has been a surge of recent work ...

    • Affine Springer Fibers and the Kazhdan-Lusztig Map 

      Chua, Anlong (Massachusetts Institute of Technology, 2025-05)
      Let G be a connected reductive group with Lie algebra g and Weyl group W. Let P ⊂ G((t)) be a parahoric subgroup with Levi quotient Gₚ. Using the topology of Lie P, Kazhdan and Lusztig define a map from nilpotent orbits ...