Kalyan Chakraborty

Research Summary:

I am interested in finding an upperbound on the number of quadratic nimber fields and function fields whose class group has an element of a given order. Recently in two joint works with A. Mukhopadhayay I have got results in this direction and the work is in progress to improve these bounds. I am interested in the L- functions associated to Hilbert modular forms and am studying their value at the point 1 when twisted by a character. I am also studying exponential sums over finite fields with Prof. S. Adhiakari.

Publications:

1. Exponents of class groups of real quadratic function fields; to appear in Proc. of Amer. Math. Soc.

1. Exponents of class groups of real quadratic function fields(II).
2. On the divisibility of class numbers of real quadratic fields.

1. Attended " Conference in Number theory", NIAS, B'lore, December 13--15, '03.

1. Visited University of Paris, VII, 27th April to 31st May, '04.
2. Visited University Roma Tre, 1st June to 8th June, 04.

Invited Lectures/Seminars:

1. Gave a 45 minutes talk at the "Number Theory Conference", NIAS, B'lore.
2. Gave a one hour talk at the Number Theory Seminar at University of Paris, VII.

1. Prepared a draft propopsal for the Golden Jubilee celebration of DAE and attended a meeting at BARC regarding this.