Doctoral Theses: Recent submissions

Now showing items 373-375 of 23253

    • The Fourier-Bessel Series and Hard Edge Limits 

      Lerner-Brecher, Matthew (Massachusetts Institute of Technology, 2025-05)
      The universality classes defined by the Airy and Bessel kernels are two of the most fundamental in random matrices and growth models more generally. Broadly speaking, one often encounters the Airy kernel when studying ...

    • Quantitative embeddings with applications 

      Portnoy, Elia (Massachusetts Institute of Technology, 2025-05)
      In this thesis, we discuss quantitative embeddings that generalize a theorem of Kolmogorov and Barzdin. The theorem says that any bounded degree graph with V vertices can be mapped into a 3-dimensional ball of radius ...

    • Co-rank 1 Arithmetic Siegel--Weil 

      Chen, Ryan C. (Massachusetts Institute of Technology, 2025-05)
      We prove the arithmetic Siegel–Weil formula in co-rank 1, for Kudla–Rapoport special cycles on exotic smooth integral models of unitary Shimura varieties of arbitrarily large even arithmetic dimension. We also propose a ...