Welcome to web page of Mahender Singh

Mahender Singh
Post Doctoral Fellow
Institute of Mathematical Sciences
C I T Campus
Taramani
Chennai 600113
India 

Email address: mahender[at]imsc[dot]res[dot]in


Academic Career:
Post Doctoral Fellow: Institute of Mathematical Sciences, Chennai [November 2009 - Till Date].
PhD Mathematics: Harish-Chandra Research Institute, Allahabad [August 2004 - October 2009].
MSc Mathematics: St. Stephen's College, University of Delhi [2002 - 2004].
BSc Honors Mathematics: Sri Venkateshwara College, University of Delhi [1999 - 2002].


Research Interests:
Algebraic Topology: Cohomology theory of transformation groups.
Group Theory: Cohomology of groups and its applications in group theoretic problems.


Collaborators:
I B S Passi and Manoj K Yadav.


Publications [available at arxiv and mathscinet]:
Research Papers:
  1. Parametrized Borsuk-Ulam problem for projective space bundles, preprint.
  2. Cohomology algebra of orbit spaces of free involutions on lens spaces, preprint.
  3. A note on the commutativity of inverse limit and orbit map, Mathematica Slovaca, (2010), to appear.
  4. Automorphisms of abelian group extensions [with I B S Passi and M K Yadav], Journal of Algebra, 324 (2010), 820-830.
  5. A simple proof of the Borsuk-Ulam theorem for Z_p-actions, Topology Proceedings, 36 (2010), 249-253.
  6. Orbit spaces of free involutions on the product of two projective spaces, Results in Mathematics, 57 (2010), 53-67.
  7. Fixed points of circle actions on spaces with rational cohomology of S^{n} V S^{2n} V S^{3n} or P^2(n) V S^{3n}, Archiv der Mathematik, 92 (2009), 174-183.
  8. Z_2 actions on complexes with three non-trivial cells, Topology and its Applications, 155 (2008), 965-971.
Conference/ Expository Papers:
  1. Involutions on cohomology lens spaces and projective spaces, Kyoto University RIMS Kokyuroku, 1670 (2009), 15-24.


Teaching Experience:
  1. Taught a course on Algebraic Topology in the Summer Programme in Mathematics, Harish-Chandra Research Institute, Allahabad, June 2010.
  2. Tutorials in Differential Topology course in the Sixth Annual Foundation School II, Chennai Mathematical Institute, Chennai, December 2009.
  3. Tutorials in Algebraic Topology course in the Summer Programme in Mathematics, Harish-Chandra Research Institute, Allahabad, June 2009.
  4. Tutorials in Algebraic Topology course, Harish-Chandra Research Institute, Allahabad, August-September 2008.
  5. Tutorials in Differential Geometry course in the Summer Programme in Mathematics, Harish-Chandra Research Institute, Allahabad, June 2007.
  6. Taught a course on Basic Topology in the Summer Programme in Mathematics, Harish-Chandra Research Institute, Allahabad, June 2006.

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