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Mathematics - Ph.D. / Sc.D.

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Mathematics - Ph.D. / Sc.D.

 

Recent Submissions

  • Tsymbaliuk, Oleksandr (Massachusetts Institute of Technology, 2014)
    In the first part of this thesis, we obtain some new results about infinitesimal Cherednik algebras. They have been introduced by Etingof-Gan-Ginzburg in [EGG] as appropriate analogues of the classical Cherednik algebras, ...
  • Oza, Anand Uttam (Massachusetts Institute of Technology, 2014)
    Yves Couder and coworkers have demonstrated that millimetric droplets walking on a vibrating fluid bath exhibit several features previously thought to be peculiar to the microscopic quantum realm, including single-particle ...
  • Liu, Tiankai (Massachusetts Institute of Technology, 2014)
    This thesis studies rational curves in the complex projective plane that are homeomorphic to their normalizations. We derive some combinatorial constraints on such curves from a result of Borodzik-Livingston in Heegaard-Floer ...
  • Park, Jennifer Mun Young (Massachusetts Institute of Technology, 2014)
    Faltings' theorem states that curves of genus g > 2 have finitely many rational points. Using the ideas of Faltings, Mumford, Parshin and Raynaud, one obtains an upper bound on the upper bound on the number of rational ...
  • Ketover, Daniel (Massachusetts Institute of Technology, 2014)
    A Heegaard splitting of a 3-manifold gives rise to a natural set of sweepouts which by the Almgren-Pitts and Simon-Smith min-max theory generates a min-max sequence converging as varifolds to a smooth minimal surface ...
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