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Contact Information
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Email : rroy@nyit.edu | |
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New York Institute of Technology |
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Phone : Office (516) 686-7535 |
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Office: Room 123, Harry Schure Hall
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Other Information
I completed my Ph.D. from Binghamton University ( SUNY ) in the year 1998 under the guidance of Professor Thomas Farrell. My research work on `virtual signature' is a parallel to the study of 'virtual Euler characteristics' in Topology. Immediately, after my Ph D, I used my thesis work to find a counterexample to the famous Trace Conjecture by field medalist Prof. Alan Connes and Prof. Paul Baum in the area of K-Theory of C*-Algebras in Operator Algebras. My other papers cover topics in algebraic and differential topology, and geometric group theory. I am working as a tenured Associate Professor at New York Institute of Technology. Prior to joining NYIT I taught as Visiting Assistant Professor at Millersville University, PA, year 1998-99 , and at Union College, NY, year 1999-2001.
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Publications/Preprints: |
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- Integrality Questions for Virtual Signature, Ph. D thesis.
- The Trace Conjecture, a counterexample, K-Theory 17,1999, 209-213.
- A counterexample to questions on the integrality property of virtual signature, Topology and its Applications,100(2000), 177-185.
- Direct products and properly 3-realizable groups, (joint with Cardenas M and Lasheras F) Bulletin of the Australian Math. Soc. 70 (2004), no. 2, 199--205.
- A note on characteristic numbers of non-positively curved manifold, (joint with Lafont J. F.) Expositiones Mathematicae, an Elsevier publication.
- Replacement Procedures, asphericalizations, and a conjecture of Hopf (joint with Lafont J. F.), Pre-print.
- An extension of Mean-value theorem to space curves in higher dimensions, Pre-print.
Research collaboration with department of Life Science, NYIT:
- Geographic distribution of liver and stomach cancers in Thailand in relation to estimated dietary intake of nitrate, nitrite and nitrosodimethylamine, joint with Eugene J. Mitacek,
Charles F. Hummel and others.
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Last but not least meet my beautiful children who add joy to my life everyday.
