Manisha Kulkarni
Associate Professor & M.S. Ph.D. Programme Coordin
Mathematics
International Institute of Information Technology Bangalore
India
Biography
Professor Manisha Kulkarni did her masters from Shivaji University, Kolhapur, Maharashtra and her PhD in the field of Number Theory from The Institute of Mathematical Sciences, Chennai. She worked on Galois Module Structure problems in Algebraic Number Theory for her thesis. After that she has been working in the field of Diophantine equations. She is also Principal Investigator of Department of Science and Technology sponsored project on the distribution of Galois groups and class groups. Her areas of interest include Diophantine equations, elliptic Curves, Galois groups and Class groups.​
Research Interest
Diophantine equations, Elliptic Curves, Galois groups and Class groups, Number Theory and Galois Module Structure problems in Algebraic Number Theory
Publications
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Diophantine Equations with Bernoulli Polynomials. M. Kulkarni and B.Sury. Acta Arithmetica, vol. 116, no. 1, pp. 25-34, 2005.
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Quadratic Factors of f(x) - g(y). M. Kulkarni, Peter Muller and B.Sury. Indigationes Mathematicae, vol. 18, no. 2, pp. 233-243, 2007.
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On the equation x(x + 1)(x + 2) : : : (x + i -1)(x + i + 1) : : : (x + (m -1)) + r = yn. M. Kulkarni, B. Sury. Proc. Indian Acad.Sci., vol.121, No.3, pp. 245-247, 2011.
