Research Interests

  • Geometric Analysis on Manifolds

    • Elliptic Partial Differential Operators on Manifolds
    • Heat Equation Methods; Heat Kernel Asymptotics
    • Spectral Asymptotics; Spectral Geometry
    • Determinants and Zeta functions
    • Boundary Value Problems; Oblique and Discontinuous Boundary Value Problems

  • Mathematical Physics

    • Completely Integrable Systems; Korteweg-de Vries hierarchy
    • Equations of Mathematical Physics

  • Quantum Field Theory, Quantum Gravity and Gauge Theories

    • Quantum Field Theory in Curved Space-time
    • Higher-derivative Quantum Gravity
    • Non-perturbative Aspects of Yang-Mills Theory
    • Higher Spin Fields on Curved Manifolds
    • String Theory

  • Differential Geometry

    • Symmetric Spaces
    • Kähler Manifolds
    • Spaces of Riemannian Metrics on Manifolds
  • Financial Mathematics




Ivan Avramidi
7/15/2008