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Artem Pulemotov

Visiting Sr. Lecturer

Artem Pulemotov

Educational Background

  • Ph.D. (2009) Cornell University

Website(s)

Departments/Programs

  • Mathematics

Research

Geometric analysis

My research deals with several topics in geometric analysis, such as prescribed curvature problems, the Ricci flow and Yang–Mills theory. I am particularly interested in the study of these topics on homogeneous spaces and other types of manifolds with symmetries.

Publications

  • Ricci Iteration on Homogeneous Spaces (with Y.A. Rubinstein), to appear in Trans. AMS.
  • Metrics with Prescribed Ricci Curvature on Homogeneous Spaces, J. Geom. Phys. 106 (2016), 275–283.
  • Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary, J. reine angew. Math. 683 (2013), 97–118.
  • Gradient Estimates for the Heat Equation under the Ricci Flow (with M. Bailesteanu and X. Cao), J. Func. Anal. 258 (2010), 3517–3542.
  • The Li-Yau-Hamilton Estimate and the Yang-Mills Heat Equation on Manifolds with Boundary, J. Func. Anal. 255 (2008), 2933–2965.