Summary of Current Research

نویسندگان

  • Chris Kottke
  • Michael Singer
  • Richard Melrose
چکیده

The mathematical questions I find most interesting are those concerning moduli spaces and topological invariants in geometry—especially involving noncompact, singular or infinite dimensional spaces—which can be approached through the analysis of PDE. I specialize in methods of geometric microlocal analysis and index theory, and I have a keen interest in problems arising from mathematical physics, particularly gauge theory and string theory. Here I give an overview of three of my current research topics.

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تاریخ انتشار 2015