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Todor D. Todorov

Research

Todor D. Todorov

Mathematics Department
California Polytechnic State University
San Luis Obispo, CA 93407, USA.

Email: ttodorov@calpoly.edu
Phone: (805) 756-1689
Office: 25-342

Research Interests:

My research interests include non-standard analysis, non-linear theory of generalized functions (J.F. Colombeau's algebras of generalized functions), existence results for linear PDE with variable coefficients, asymptotic analysis, compactification of ordered topological spaces, foundations of quantum mechanics. I presently work on a non-standard approach to Colombeau's theory (For my publications on these topics click here).

Current Research Projects:

Non-Standard Analysis and J.F. Colombeau's Theory of Generalized Functions

For more information click here.

Sergio Salbany and Todor Todorov, Nonstandard Analysis in Point-Set Topology
For more information click here

Publications:

For the list of publications click here.

Before coming to Cal Poly:

  • Todor Todorov earned his Ph.D. in Mathematical Physics from University of Sofia, Bulgaria.
  • Research Fellow at the Bulgarian Academy of Sciences, Department of Mathematical Physics and Elementary Particles of the Bulgarian Academy of Sciences, Sofia, Bulgaria.
  • Visiting Research Fellow at the International Center for Theoretical Physics, Trieste, Italy.
  • Visiting Research Fellow at the Functional Analysis Department of International School for Advanced Studies, Trieste (SISSA), Italy.
  • Visiting position at the Mathematics Department of University of California,
    Santa Barbara (UCSB).
  • Todor is presently the organizer of the Mathematical Colloquium in the Mathematics Department of Cal Poly.