Manjul Bhargava

Manjul Bhargava (* 1974 in Hamilton ( Ontario), Canada) has done is a Canadian mathematician of Indian origin, who made ​​significant contributions to number theory.

Life

Bhargava was born as a child of Indian immigrants from the region of Jaipur in Canada. He grew up on Long Iceland in the U.S. state of New York. His father is a chemist and his mother a professor of mathematics at Hofstra University on Long Iceland. In school, he fell on the one hand with versatile talents, but had difficulties on the other hand, simply because he did not attend classes when they brought him nothing new. Instead, he chose to get involved in the school magazine to play in the tennis and the bowling team of his school to read books about mathematics and to learn how to sitar, guitar, violin and especially tabla playing. After the ninth grade, he had already completed all the math and computer science courses in high school. The second half of the tenth school year he spent with his grandparents in India. Purushottam Lal Bhargava His grandfather, a famous scholar in India, taught him in Sanskrit and Indian history. He also delved into the tabla. After his return in 1992 he finished in first place at the first New York State Science Talent Search, which allowed him to study mathematics at Harvard University in 1992.

After only one year Bhargava was awarded for his outstanding academic achievements with the Detur Prize from Harvard University. At the age of 19 he was employed as a Teaching Fellow. For his achievements in teaching he received from 1993 to 1995 three times the Derek Bok Award from Harvard University. In 1996 he completed his studies at Harvard University with a Bachelor of Arts and the summa cum laude. For his excellent performance, he was honored by the award of the Hoopes Prize at Harvard University.

As of 1996, Bhargava studied mathematics at Princeton University, where he received his doctorate in Andrew Wiles in 2001 with a thesis on Higher Composition Laws summa cum laude. Two years later he was appointed professor of mathematics at Princeton University ( full professor with tenure ) ( even at the age of 28 years ). He is one of the youngest scientists ever to be appointed to such a professorship at Princeton.

In addition to the mathematics playing the tabla is one of the great passions Bhargavas. He was repeatedly informed by Zakir Hussain, one of the best known and most prolific tabla players of our time. At Harvard and Princeton Bhargava occurs occasionally in public concerts. In 2003 he participated in the GigaPop ritual, a distributed live concert for digital dholaks, electronic didgeridoo, electronic violins, RBOW, sitar, tabla and bass guitar, which was played by musicians and scientists from McGill University and Princeton University each site.

Services

Already during his studies at Harvard Bhargava has written four original works in which he unified a number of results noted mathematician and triggered widespread and several known issues. In this work, he gave a new generalization of the faculty. He applied these new faculty function, among other things on rings of integer polynomials and p- adic Analysis.

He was Abruptly famous for his dissertation, in which he known of since 1801 ( Disquisitiones Arithmeticae ) Gaussian composition of binary integer quadratic forms higher composition laws added, for example for binary integer cubic forms. He found a general theory, in which fit these laws and found that it is at least 14 such higher number theoretical laws of composition is considered, one of which is the Gauss quadratic binary forms. This groundbreaking and completely surprising results were published until 2008 in an existing series of four works in the Annals of Mathematics in 2004. He has published over the asymptotic density of discriminants quartischer and quintischer number field He also scored results in the field of Cohen- Martinet heuristics for class numbers of algebraic number fields (similar to the Cohen- Lenstra heuristics for class numbers of quadratic number fields set up ).

Stark was also observed be simpler proof of the so-called theorem of John Horton Conway 15 and William Schneeberger. Meanwhile he has in common with Jonathan P. Hanke also proved the theorem known as 290 conjecture of Conway. The 15- set of Conway says that an integer quadratic form with integer matrix ( ie not only the coefficients are integer, but the non-diagonal elements just for good measure ) represents the natural numbers up to 15, it represents all natural numbers. The complicated proof by Conway and Schneeberger WA 1993 was never released. Bhargava found a simpler proof. A similar theorem holds for integral quadratic forms, without limitation, where 15 is replaced by 290. He has also been proved by Bhargava with Jonathan Hanke.

With Arul Shankar he proved the boundedness of the average rank of elliptic curves over the rational numbers and they proved that a positive measure of elliptic curves over the rational numbers rank 0 has and meets the presumption of Birch and Swinnerton - Dyer, one of the Millennium Problems He gave simpler proofs and new interpretations for the sets of Harold Davenport and Hans Heilbronn on the density of discriminants of cubic number fields.

Honors

For written during his studies at Harvard work Bhargava was awarded in 1996 with the awarded jointly by the American Mathematical Society, the Mathematical Association of America and the Society for Industrial and Applied Mathematics Frank and Brennie Morgan Prize. In 2003 he received the Merten M. Hasse Prize from the Mathematical Association of America and the 2004 Leonard M. and Eleanor B. Blumenthal Award. He was awarded the Clay Research Award and the SASTRA Ramanujan Prize 2005. In 2008, he received the Frank Nelson Cole Prize significant for number theory of the American Mathematical Society. In 2011 he was awarded the Fermat Prize. He is a Fellow of the American Mathematical Society.

In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Higher composition laws and applications ). He was selected as Plenarsprecher at the International Congress of Mathematicians 2014 in Seoul.