Oleg Friedman, PhD
Oleg Friedman received his BS/MS in mathematics from Samarkand State University and PhD in mathematics from the University of South Africa. His PhD thesis was “Structure and Representation of Real Locally C*- and Locally JB-algebras”. As a researcher at the Russian Academy of Sciences he developed stochastic mathematical models of glass-like dynamic transitions and pattern recognition of neural networks.
Dr. Friedman has taught mathematics at Polytechnic University and St. John’s University. His main research interests are in the field of topological algebras and representation theory of unbounded operator algebras used for axiomatization of quantum mechanics.
He is an assistant professor and pre-engineering program advisor at Lander College for Men.
Education
- PhD, Mathematics, University of South Africa; Pretoria, SA
- BS/MS Combined Degree, Mathematics (with Highest Honor), Samarkand State University; Samarkand, former USSR
Research
- Topological algebras and representation theory of unbounded operator algebras used for axiomatization of quantum mechanics
Publications
- Friedman, O., Katz, A. A. (2018). On Gelfand-Naimark type theorems for unital abelian complex and real locally C*-, and locally JB-algebras. In A. Katz (Ed.), Topological algebras and their applications: Proceedings of the 8th international conference on topological algebras and their applications, 2014 (pp. 73-108). Boston, MA: De Gruyter.
- Katz, A., & Friedman, O. (2016). On universal representations and universal enveloping locally C*-algebras for locally JB-algebras. In B. Russo, A. G. Aksoy, R. Ashurov, & S. Ayupov (Eds.), Topics in functional analysis and algebra (pp 185-204). Providence, RI: American Mathematical Society.
Memberships and Affiliations
- American Mathematical Society