- Jan 7, 2002
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MUMBAI: An Indian mathematician, Chandrashekhar Khare, is poised to make a significant breakthrough in the field of number theory: with his solution of part of a major outstanding problem in algebraic number theory.
In a paper posted on the Mathematics Arxiv on the web in April 2005 and subsequently sent for publication to a leading mathematics journal, the 37-year-old mathematician based at the University of Utah has proved what is known to specialists in the field as the `level-1 case of the Serre conjecture.' In earlier work done with the French mathematician, J.P. Wintenberger, in December 2004, Dr. Khare outlined a two-part general strategy to prove the Serre conjecture fully. The present result is a first key step.
According to Professor Dipendra Prasad of the Department of Mathematics at the Tata Institute of Fundamental Research (TIFR), Mumbai, the result is "one of the outstanding results in recent times in this field." He added that before the joint work of last year and Dr. Khare's current result, "it was unclear to the experts in the field that the conjecture would become a theorem in the near future." Before he moved to the United States in 2004 to take up a position on the University of Utah faculty as Associate Professor, Dr. Khare was on the TIFR faculty for nearly a decade. http://www.hindu.com/2005/04/25/stories/2005042506530100.htm
In a paper posted on the Mathematics Arxiv on the web in April 2005 and subsequently sent for publication to a leading mathematics journal, the 37-year-old mathematician based at the University of Utah has proved what is known to specialists in the field as the `level-1 case of the Serre conjecture.' In earlier work done with the French mathematician, J.P. Wintenberger, in December 2004, Dr. Khare outlined a two-part general strategy to prove the Serre conjecture fully. The present result is a first key step.
According to Professor Dipendra Prasad of the Department of Mathematics at the Tata Institute of Fundamental Research (TIFR), Mumbai, the result is "one of the outstanding results in recent times in this field." He added that before the joint work of last year and Dr. Khare's current result, "it was unclear to the experts in the field that the conjecture would become a theorem in the near future." Before he moved to the United States in 2004 to take up a position on the University of Utah faculty as Associate Professor, Dr. Khare was on the TIFR faculty for nearly a decade. http://www.hindu.com/2005/04/25/stories/2005042506530100.htm
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