Dmytro Shklyarov

Technische Universität Chemnitz
Fakultät für Mathematik
09107 Chemnitz
                                                                                  
E-mail: dmytro.shklyarov at mathematik.tu-chemnitz.de


Lehre/Teaching
                       
WS 2017/18:        Funktionentheorie         Optimization for Non-Mathematicians
                                                                     
SS 2017:              Darstellungstheorie
                                             


Forschung/Research               

Research interests: non-commutative geometry, cyclic homology, differential graded categories, matrix factorizations, (homological) mirror symmetry, topological quantum field theories, Hodge theory, representation theory and quantum groups.

My initial area of expertise was quantum group theory. In this area, my research focused on Leonid Vaksman's theory of Quantum Bounded Symmetric Domains. My current research is devoted to what might be called categorical (or derived) noncommutative geometry and its interplay with algebraic geometry, Hodge theory, singularity theory, mirror symmetry, and topological field theories. A brief overview of my activity in this area can be found here.


Veröffentlichungen/Publications               

Almost all of my papers can be found in the arXiv (a few old preprints can also be found here).   Here is the full publication list:

My PhD thesis can be downloaded from this link. (Here are the slides that I used during my PhD defense and here is my advisor's homepage.)