MIT Theses: Recent submissions

Now showing items 25-27 of 63974

    • 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 ...

    • Carbon flow and food web structure in the mesopelagic zone of the North Atlantic Ocean 

      Gardner, Kayla Grace (Massachusetts Institute of Technology, 2025-05)
      Mesopelagic ecosystems are vital habitats that link the euphotic zone and the deep ocean through food web interactions and carbon flow pathways. In this dissertation, I use carbon compound-specific stable carbon isotope ...