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Topic: Vijay Kumar Patodi

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	::: Vijay Patodi :::
		Vijay Kumar Patodi (1945-1976) was an Indian mathematician who made fundamental contributions to differential geometry and topology.
		Patodi was a graduate of Government High School, Guna, Madhya Pradesh.
		Vijay Kumar Patodi was promoted to full professor at Tata Institute at age 30, however, he died tragically at age 31, as a result of complications prior to surgery for a kidney transplant.
	vijay.com /Patodi.htm (244 words)

	Patodi (Site not responding. Last check: 2007-10-31)
		In 1967 Patodi joined the School of Mathematics of the Tata Institute of Fundamental Research in Bombay and he was to remain on the staff there until his death at the distressingly early age of 31.
		Mathematical fame for Patodi came early in his career with papers of great importance coming for the work of his Ph.D. His doctoral thesis, Heat equation and the index of elliptic operators, was supervised by M S Narasimhan and S Ramanan and the degree was awarded by the University of Bombay in 1971.
		Patodi's first paper Curvature and the eigenforms of the Laplace operator was part of his thesis and the contents of this paper are described in [2]:-
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Patodi.html (467 words)

	Vijay Kumar Patodi
		In 1967 Patodi joined the School of Mathematics of the Tata Institute of Fundamental Research in Bombay and he was to remain on the staff there until his death at the distressingly early age of 31.
		Mathematical fame for Patodi came early in his career with papers of great importance coming for the work of his Ph.D. His doctoral thesis, Heat equation and the index of elliptic operators, was supervised by M S Narasimhan and S Ramanan and the degree was awarded by the University of Bombay in 1971.
		Patodi's first contribution was to prove that such a fantastic cancellation of higher derivatives did indeed take place.
	www.learn-math.info /historyDetail.do?id=Patodi&locale=en (450 words)

	Patodi biography
		Patodi's first paper Curvature and the eigenforms of the Laplace operator was part of his thesis and the contents of this paper are described in [Geometry and analysis : papers dedicated to the memory of V K Patodi (Bangalore, 1980), i-iii.',2)" onmouseover="window.status='Click to see reference';return true">2]:-
		The second paper which came from his thesis was An analytic proof of the Riemann- Roch- Hirzebruch theorem for Kaehler manifolds which extended the methods of his first paper to a much more complicated situation.
		There he worked with M F Atiyah and made several visits to work with others in his field at various centres in the United States and England.
	www-history.mcs.st-and.ac.uk /history/Biographies/Patodi.html (487 words)

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