(Ref:http://en.wikipedia.org/wiki/Manjul_Bhargava [1])

Dr. Manjul Bhargava, born August 8, 1974 in Canada. Bhargava grew up

primarily in the USA and also spent much time in India. He obtained his B.A.

from Harvard in 1996. For his research as an undergraduate, he was awarded the

1996 Morgan Prize. He received his PhD in 2001,from Princeton University, under

the direction of Andrew Wiles. Bhargava became a professor at Princeton in

2003. Prof. Bhargava’s contribution in number theory has had a unique influence

on the maths research and its community.

primarily in the USA and also spent much time in India. He obtained his B.A.

from Harvard in 1996. For his research as an undergraduate, he was awarded the

1996 Morgan Prize. He received his PhD in 2001,from Princeton University, under

the direction of Andrew Wiles. Bhargava became a professor at Princeton in

2003. Prof. Bhargava’s contribution in number theory has had a unique influence

on the maths research and its community.

Read also:DR. RAJ K. GUPTA, PROFESSOR of Physics (Rtd.) & DST Emeritus Scientist

Prof. Bhargava is not only a great mathematician but also an accomplished

tabla player too, he is the pupil of great guru (Ustad/Teacher) Zakir Hussain Sahab. He is very close to Indian culture and also learn studied Sanskrit from

his grandfather, who is a reputed and well known pandit of Sanskrit and Indian

History. Prof. Bhargava is an outstanding communicator, he has won several teaching awards, and his lucid and

elegant writing has garnered a prize for exposition.

tabla player too, he is the pupil of great guru (Ustad/Teacher) Zakir Hussain Sahab. He is very close to Indian culture and also learn studied Sanskrit from

his grandfather, who is a reputed and well known pandit of Sanskrit and Indian

History. Prof. Bhargava is an outstanding communicator, he has won several teaching awards, and his lucid and

elegant writing has garnered a prize for exposition.

Recently, Prof. Manjul Bhargava has been awarded the

prestigious Fields Medal at the International Mathematical Union’s (IMU)

International Congress of Mathematicians, ICM, in Seoul. The Fields Medal is

considered as the Nobel Prize of Mathematics for being traditionally regarded

as the most prestigious award in the field of mathematics. Prof. Bhargava was awarded the medal for

developing powerful new methods in geometry of numbers, which he applied to

count rings of small rank and to bound the average rank of elliptic curves.

prestigious Fields Medal at the International Mathematical Union’s (IMU)

International Congress of Mathematicians, ICM, in Seoul. The Fields Medal is

considered as the Nobel Prize of Mathematics for being traditionally regarded

as the most prestigious award in the field of mathematics. Prof. Bhargava was awarded the medal for

developing powerful new methods in geometry of numbers, which he applied to

count rings of small rank and to bound the average rank of elliptic curves.

“[Bhargava’s]

techniques and insights … are dazzling; even in the case considered by Gauss,

they lead to a new and clearer presentation of that theory”, the Cole

Prize citation says.

techniques and insights … are dazzling; even in the case considered by Gauss,

they lead to a new and clearer presentation of that theory”, the Cole

Prize citation says.

Read also:DR. ALOK SAXENA, Scientific Officer (H+), Head, Nuclear Data Physics Section

“If

Bhargava had stopped with this discovery, his work would already be quite

remarkable. But Bhargava has gone on to use his composition laws to solve a new

case of one of the fundamental questions of number theory, that of asymptotic

enumeration of number fields of given degree, as the discriminant grows. Bhargava

used his new composition laws to solve the degree 4 case, brilliantly

overcoming very serious analytic problems that had completely blocked all

previous work on the problem.”[2].

His research also includes

fundamental contributions to the representation theory of quadratic forms, to

interpolation problems and p-adic analysis, to the study of ideal class groups

of algebraic number fields, and to the arithmetic theory of elliptic curves. A

short list of his specific mathematical contributions are [1]:

fundamental contributions to the representation theory of quadratic forms, to

interpolation problems and p-adic analysis, to the study of ideal class groups

of algebraic number fields, and to the arithmetic theory of elliptic curves. A

short list of his specific mathematical contributions are [1]:

- 14 new Gauss-style composition laws.

- Determination of the asymptotic density of discriminates

of quadratic and quintic number fields.

- Proof of the 15 theorem, including an extension of the theorem to other number

sets such as the odd numbers and the prime numbers.

- A novel generalization of the factorial function, resolving a

decades-old conjecture by George Polya.

- Proof (with Arul Shankar) that the average rank of all elliptic curves over Q

(when ordered by height) is bounded.

** ****How Bhargava follow and extend the work of work of Brahmagupta in
628 C.E. and Carl
Friedrich Gauss**

**(1777-1855) ?**

**Read also:DR. DINESH KUMAR SRIVASTVA, Director of Variable Energy Cyclotron Centre, (VECC) Kolkata**

A very interesting reality is behind of this that how

does a graduate student read the monumental Disquisitiones Arithmeticae, a book about number

theory by Carl Friedrich Gauss, get inspiration and keep the idea

in his mind and how that idea takes a shape when he was playing with the Rubik’s

cubes [3]. Read more..

does a graduate student read the monumental Disquisitiones Arithmeticae, a book about number

theory by Carl Friedrich Gauss, get inspiration and keep the idea

in his mind and how that idea takes a shape when he was playing with the Rubik’s

cubes [3]. Read more..

**Honors and Awards [4]**

**http://arxiv.org/find/math/1/au:+Bhargava_M/0/1/0/all/0/1**

**Refrences:**

Leonard M. and Eleanor B. Blumenthal Award for the

Advancement of Research in Pure

Advancement of Research in Pure

Mathematics, January 2005.

Packard Foundation Fellowship in Science and Engineering,

November 2004.

November 2004.

The Mathematical Association of America’s Merten M.

Hasse Prize for Exposition, August 2003.

Hasse Prize for Exposition, August 2003.

Named one of Popular Science Magazine’s “Brilliant 10”,

November 2002.

November 2002.

Named first Five-Year Long-Term Prize Fellow of the

Clay Mathematics Institute, 2000.

Clay Mathematics Institute, 2000.

AMS–MAA–SIAM Frank and Brennie Morgan Prize for

Outstanding Undergraduate Research in Mathematics, 1997.

Outstanding Undergraduate Research in Mathematics, 1997.

Hertz Foundation Graduate Fellowship in Mathematics,

1996–2000.

1996–2000.

Hoopes Prize for Excellence in Scholarly Work and

Research, Harvard University, 1996.

Research, Harvard University, 1996.

Harvard University Salutatorian, 1996.

Elected Phi Beta Kappa, Harvard University, 1995.

Three–time recipient of the Derek Bok Award for

Excellence in Teaching; nominated for Levin-son Teaching Prize, Harvard

University, 1993–1995.

Excellence in Teaching; nominated for Levin-son Teaching Prize, Harvard

University, 1993–1995.

Detur Prize for Outstanding Academic Achievement, Harvard

University, 1993.

University, 1993.

Winner of the New York State Science Talent Search,

1992.

1992.

Plainedge High School Valedictorian, 1992

**Research Positions [4]**

Professor, Princeton University, July 2003–.

Visiting Assistant Professor, Harvard University, Spring

2003.

2003.

Visiting Mathematician, Princeton University, Fall 2001–Fall

2002.

2002.

Clay Mathematics Institute, Cambridge, 2000–.

AT&T Labs Research, Florham Park, NJ, Summer 1997.

Center for Communications Research, Princeton, Summer 1996.

Duluth Summer Research Program, Summer 1995.

National Security Agency, Summer 1994.

Manjul

Bhargava has recently made a great advance in the arithmetic theory of elliptic

curves. Together with his student, Arul Shankar, he determines the average order

of the Selmer group Sel(E, m)for an elliptic curve Eover Q, when m= 2,3,4,5 [5].

Bhargava has recently made a great advance in the arithmetic theory of elliptic

curves. Together with his student, Arul Shankar, he determines the average order

of the Selmer group Sel(E, m)for an elliptic curve Eover Q, when m= 2,3,4,5 [5].

Bhargava

also used his expansion of the geometry of numbers to look at the more general

case of higher degree hyperelliptic curves.[6]

also used his expansion of the geometry of numbers to look at the more general

case of higher degree hyperelliptic curves.[6]

**Link of his research papers:**

[3].http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_bhargava.pdf