Research Areas

Primary Research Area: 

Algebra

Geometry/Topology

Additional Research Areas: 

Applied Mathematics

Research Interests: 

Mathematical physics, Low-dimensional topology, Representation theory

Educational Background

<span font-size:16px;white-space:normal;">1984 Ph.D., Leningrad Branch, Steklov Mathematical Institute (LOMI)                                      

Work Experience

•1984{86JuniorResearcher,LOMI
•1986{89SeniorResearcher,LOMI
•1989{90VisitingProfessor,HarvardUniversity
•1990{91AssistantProfessor,HarvardUniversity
•1991{93AssociateProfessor,DepartmentofMathematicsUniversityofCaliforniaatBerkeley
•1993{Professor,UniversityofCaliforniaatBerkeleyOfficeaddress:Departmentofmathematics,UniversityofCalifornia,Berkeley,CA94720-3840,USA
                                     

Honors and Awards

  • 45-minute talk, ICM1990, Kyoto Japan

  • The Mathematics of Quantum Field Theory" plenary talk at the ICM-2010 (Hyderabad, India, August 2010)



Publications

<span font-size:16px;white-space:normal;"="" style="white-space: normal;">(15)Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin, A cellular topolog- ical field theory, Communications in Mathematical Physics, v. 374 (2020) n2, 1229-1320.