INDIAN INSTITUTE OF SCIENCE EDUCATION & RESEARCH, MOHALI
  Dr. Mahender Singh


     Assistant Professor (Mathematics)
     Knowledge city, Sector 81, SAS Nagar,
     Manauli PO 140306

     Email: mahender[at]iisermohali.ac.in
     Web: http://www.sites.google.com/site/mahen5181
     Mob: (0)
     Telefax: +91-0172-2240266,0172-2240124

Research Area: Topology and Groups

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.

Selected Publications

  • Equivariant maps from Stiefel bundles to vector bundles, Proceedings of the Edinburgh Mathematical Society, (2015), 19 pp.
  • Free 2-rank of symmetry of products of Milnor manifolds, Homology Homotopy and Applications, 16 (2014), 65-81.
  • Cohomology algebra of orbit spaces of free involutions on lens spaces, Journal of the Mathematical Society of Japan, 65 (2013), 1055-1078.
  • Symmetric continuous cohomology of topological groups, Homology Homotopy and Applications, 15 (2013), 279-302.
  • Parametrized Borsuk-Ulam problem for projective space bundles, Fundamenta Mathematicae, 211 (2011), 135-147.
  • (With I.B.S. Passi and M.K. Yadav), Automorphisms of abelian group extensions, Journal of Algebra, 324 (2010), 820-830.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 




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