|INDIAN INSTITUTE OF SCIENCE EDUCATION & RESEARCH, MOHALI|
Assistant Professor (Mathematics)
Knowledge city, Sector 81, SAS Nagar,
Manauli PO 140306
My main areas of interest are algebraic topology, group theory and related topics.
Algebraic topology can be described as the study of topological spaces by means of algebraic objects associated to them. This leads to a rich interaction between several areas of mathematics including topology, group theory and geometry, to name a few. Particularly, I am interested in group actions on manifolds, equivariant maps, free rank, index theory, cohomological dimension, and structures on smooth manifolds.
Group theory Group theory is closely related to transformation groups due to abundance
of topological spaces admitting non-trivial group actions. The cohomology
of groups is a subject which straddles algebra and topology. I am
interested in applications of cohomology of groups in the study of
automorphisms of ﬁnite groups. I am also interested in cohomology
of groups as an independent topic.
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