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Balwant Singh

Senior Scientist
Mathematics
Centre for Excellence in Basic Sciences
India

Biography

Joined Tata Institute of Fundamental Research, Bombay, in 1966, and retired from there in 2000. Post Retirement Positions: Visiting Professor at Indian Institute of Technology Bombay from May 2000 to December 2005 and from July 2007 to June 2009. Adjunct Professor at Indian Institute of Technology Bombay since July 2009. Adjunct Professor at the University of Mumbai-DAE Centre for Excellence in Basic Sciences since January 2009.

Research Interest

Subintegrality and seminormality and their relationship with invertible modules and the Picard group. The Jacobian problem: If f and g are polynomials in two variables X and Y with coe±cients in a ¯eld of characteristic zero such that the Jacobian of f and g with repect to X & Y is a nonzero constant then are X and Y polynomials in f and g?

Publications

  • Singh B (1976) A numerical criterion for the permissibility of a blowing-up. Compositio Mathematica 33: 15-28.

  • Singh B (1974) On the group of automorphisms of a function ¯eld of genus at least two. J Pure and Applied Algebra 4: 205-229.

  • Singh B (1967) Unique factorization in power series rings. Inventiones math 3: 348-355.

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