Doctoral Theses: Recent submissions

Now showing items 46-48 of 22893

    • Dual Pairs and Disconnected Reductive Groups 

      Gaetz, Marisa (Massachusetts Institute of Technology, 2025-05)
      In R. Howe’s seminal paper, “Remarks on classical invariant theory,” he introduces the notion of a Lie algebra dual pair (a pair (g₁, g₂) of reductive Lie subalgebras of a Lie algebra g such that g₁ and g₂ equal each other’s ...

    • The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2 

      Achenjang, Niven (Massachusetts Institute of Technology, 2025-05)
      Let K be the function field of a smooth curve B over a finite field k of arbitrary characteristic. We prove that the average size of the 2-Selmer groups of elliptic curves E/K is at most 1 + 2ζʙ(2)ζʙ(10), where ζʙ is the ...

    • Cross-shore Transformation of Breaking Random Waves in the Surfzone 

      Chen, Jinshi (Massachusetts Institute of Technology, 2025-05)
      The transformation of breaking waves in the surfzone, including the evolution of the roller, the foamy air-water mixture on the surface of a breaking wave, and the turbulence, determines the wave-driven onshore-directed ...