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Responsibilities:
Academic Secretary, Indian Mathematical Society.
DST Project Investigator, Topological Methods in Combinatorics.
NBHM Zonal Coordinator, HRI, Allahabad
Editorial Member, JIMS
Editorial Member, Indian J Math.
Council Member, National Academy of Sciences, India.
Member, Indian Science Congress Association.
Research Interests:
Topological Group Actions
Cohomological Dimension Theory
Topological Combinatorics
Homotopy Theory
Set Topology.
Problems of Interest:
It is well known that a Hausdorff space which is finitistic is of finite cohomological dimension (Rubin, L.). What about the converse?
A problem of Wayn: Find an example of a Hausdorff nonlocally compact space such that every point has an empty nbd.
E Michael asked for an example of a AR polyhedra which is not simply contrctible. The answer is given by Dydak and also a Russina Mathematician. Simplify that example further.
Courses Taught at HRI
Aug 2005- Dec 2005 (Ist Semester)
Topology I: Contents:
Jan 2006- May 2006 (IInd Semester)
(i) Topology II, Contents:
(ii) Homotopy Theory (IVth Semester): Contents
Aug
2006- Dec 2006 (Ist Semester)
Topology I: Contents:
Topology II, Contents:
Jan
2009- May 2009 (IInd Semester)
Topology II, Contents:
Aug
2009- Dec 2009 (Ist Semester)
Topology I: Contents:
Jan 2011- May 2011 (IInd semester)
Topology II, Contents: