MAHENDER SINGH
Present Position:
Post Doctoral Fellow
Contact Address:
Institute
of Mathematical Sciences
C I T
Campus
Taramani
Chennai
600113
India.
Email:
mahender[AT]imsc[DOT]res[DOT]in.
Permanent
Webpage: www.sites.google.com/site/mahen5181.
Post PhD Employment:
Post
Doctoral
Fellow: Institute of Mathematical
Sciences, Chennai [November 2009 - Till Date].
Research
Fellow:
Harish-Chandra
Research
Institute,
Allahabad [June 2009 - October 2009].
Educational Qualifications:
PhD
Mathematics: Harish-Chandra
Research
Institute,
Allahabad [August 2004 - May 2009].
MSc
Mathematics: St. Stephen's College,
University
of
Delhi
[2002
-
2004].
BSc
Honours
Mathematics: Sri Venkateshwara
College, University of Delhi
[1999 - 2002].
Research Interests:
Algebraic
Topology:
Cohomology theory of compact transformation groups, equivariant maps,
index theory, and structures on smooth manifolds.
Group
Theory:
Automorphisms, cohomology of groups, and related topics.
Collaborators:
I B S Passi
and Manoj K Yadav.
Publications:
Research Papers:
- Symmetric continuous cohomology of
topological groups, preprint.
- Cohomology algebra of orbit spaces
of free
involutions on lens spaces, preprint.
- A note on the commutativity of inverse
limit and orbit map, Mathematica
Slovaca,
61
(2011),
653-
656.
- 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.
- A simple proof of the Borsuk-Ulam theorem
for $Z_p$-actions, Topology
Proceedings, 36 (2010), 249-253.
- Orbit spaces of free involutions on
product of two projective spaces, Results
in
Mathematics,
57
(2010),
53-67.
- 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.
- $Z_2$-actions on complexes with three
non-trivial cells, Topology
and
its
Applications,
155
(2008),
965-971.
- Instructor
in
Algebraic Topology course,
Summer
Programme
in
Mathematics,
Harish-Chandra
Research
Institute,
Allahabad,
June
2010.
- Tutor
in
Differential Topology
course, Sixth Annual Foundation School II, Chennai Mathematical
Institute, Chennai, December 2009.
- Tutor
in
Algebraic Topology
course, Summer Programme in Mathematics, Harish-Chandra Research
Institute, Allahabad, June 2009.
- Tutor
in
Algebraic Topology
course,
Harish-Chandra Research Institute, Allahabad, August-September 2008.
- Tutor
in
Differential Geometry
course, Summer Programme in Mathematics, Harish-Chandra Research
Institute, Allahabad, June 2007.
- Instructor
in
Basic Topology
course, Summer Programme in Mathematics, Harish-Chandra Research
Institute,
Allahabad, June 2006.
Web
page
updated
recently.
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