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Vijay Kumar Patodi
Vijay Kumar Patodi (12 March 1945 – 21 December 1976) was an Indian mathematician who made fundamental contributions to differential geometry and topology. He was the first mathematician to apply heat equation methods to the proof of the Index Theorem for elliptic operators. He was a professor at Tata Institute of Fundamental Research, Mumbai (Bombay).
==Education==
Patodi was a graduate of Government High School, Guna, Madhya Pradesh. He received his bachelor's degree from Vikram University, Ujjain, his master's degree from the Benaras Hindu University, and his Ph.D. from the University of Bombay under the guidance of M. S. Narasimhan and S. Ramanan at the Tata Institute of Fundamental Research.
In the two papers based on his Ph.D. thesis, "Curvature and Eigenforms of the Laplace Operator" (''Journal of Differential Geometry''), and "An Analytical Proof of the Riemann-Roch-Hirzebruch Formula for Kaehler Manifolds" (also ''Journal of Differential Geometry''), Patodi made his fundamental breakthroughs.
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