Todor D. Todorov

 

Associate Professor in:

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

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

 

Current Research Interest: Non-standard analysis, non-linear theory of generalized functions (Colombeau algebras of generalized functions).  For a general description of this branch of mathematics click here.



Published Articles on: Non-standard analysis, non-linear theory of generalized functions (Colombeau algebras of generalized functions), compactification of ordered topological spaces, asymptotic analysis and teaching mathematics. For the List of Publication click here.

Current Research Projects:

1. Asymptotic Fields and Power Series. For the latest version click here.

  1. 2.Non-Standard Analysis and Nonlinear Theory of Generalized Functions. For more information click here.

  2. 3.For a “gentle” introduction to non-standard analysis click here. It is the Master Thesis of Ray Cavalcante (under my supervision), a former graduate student in Cal Poly, where the non-standard analysis is presented in terms of nets of real numbers.

  3. 4. For the more advanced introduction to “distributional non-standard model of analysis” we refer to the Master Thesis of Guy Berger (also under my supervision) click here.

  4. 5.For an up-to-date version of the “distributional non-standard model” we refer to Section 6 of the following recent article (click here.). The presentation there is somewhat dense. I recommend reading this  article along with the two master theses mentioned above.

Before coming to Cal Poly:

● Ph.D. in mathematical physics form University of Sofia, Bulgaria.

● Research Fellow at Bulgarian Academy of Sciences, Sofia, Bulgaria.

● Visiting Research Fellow at the International Center of Theoretical Physics (ICP), Trieste, Italy.

● Visiting Research Fellow at International School for Advanced Studies (SISSA), Trieste, Italy.

● Visiting position at Mathematics Department of University of California at Santa Barbara.

Current Position in Cal Poly:  Assistant Professor.

  1. 6.Algebraic Approach to Colombeau Theory of Generaliized Functions, a talk at DIANA Seminar, June 26, 2009, Vienna (GF09BeamerTransp.pdf).

 
 

Sabbatical Leave at University of Vienna (Austria) in 2009: For more information clik here: AlgebraicApproach.pdf; PowerSeries&NSA.pdf; ViennaGF09Handouts.pdf; York09Handouts.pdf.