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Re: Countdown to the 2010 Fields medal(s)
Posted:
Aug 18, 2010 1:57 AM
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Part 13 of my comments on the
26-th International Congress of Mathematicians
(ICM2010), that will be held in Hyderabad, in India,
from Thursday, August 19, to Friday, August 27, 2010.
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Before I continue giving more information about
the ICM2010, I recall the following:
The Web site of the ICM2010 is the following:
http://www.icm2010.org.in/
The names of the winners of the Fields medals
and other prizes will be posted on Thursday,
August 19, on the Web site of the ICM2010.
I guess that it will be on their Web page
of press releases, which is the following:
http://www.icm2010.org.in/press-room/press-releases
The original posting of the thread of postings
containing the current posting is on the following
Web page:
http://mathforum.org/kb/message.jspa?messageID=7137304&tstart=60
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On the following Web page:
http://www.math.columbia.edu/~woit/wordpress/?p=2255
there are guesses about the possible winners
of Fields medals. It seems that the top two guesses
are:
Ngô Bao Châu and Manjul Bhargava.
I have given pieces of information about Ngô Bao Châu
in my previous two postings.
In this posting, I give pieces of information
about Manjul Bhargava.
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The following pieces of information are extracted
from the following Web page of the online
Encyclopedia Wikipedia:
http://en.wikipedia.org/wiki/Manjul_Bhargava
Manjul Bhargava is an Indo-Canadian professor
of mathematics at Princeton University.
His research interests span algebraic number theory,
combinatorics, and representation theory.
He graduated from Harvard University in 1996,
and received his doctorate from Princeton in 2001,
working under Andrew Wiles.
His Ph.D. thesis generalized the classical Gauss
composition law for quadratic forms to many other
situations. One major use of his results is the
parametrization of quartic and quintic orders
in number fields, thus allowing the study
of asymptotic behaviour of arithmetic properties
of these rings. Princeton hired him at the rank
of full professor with tenure just two years
after he finished graduate school, making him
the youngest full professor at Princeton.
He has won several awards for his research,
including:
The Morgan Prize.
The Merten M. Hasse Prize from the MAA in 2003.
A Clay Research Fellowship.
The Clay Research Award in 2005.
The Leonard M. and Eleanor B. Blumenthal Award
for the Advancement of Research in Pure Mathematics.
The American Mathematical Society's Cole Prize
in number theory.
The Ramanujan Prize for his outstanding contributions
to number theory.
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Pieces of information extracted from the following
Web page:
http://www.claymath.org/fas/research_fellows/Bhargava/
Manjul Bhargava was a Clay Research Fellow,
from July 1, 2000 to June 30, 2005,
and a Visiting Fellow at Princeton University.
His research interests span algebraic number theory,
combinatorics, and representation theory. Some of his
most acclaimed work appears in the recent article
"The factorial function and generalizations"
in the American Mathematical Monthly of November 2000,
which explains his new generalization of the factorial
function and its connections with some classical
problems in number theory, ring theory, and
combinatorics. His research also includes fundamental
contributions to the representation theory
of quadratic forms, to p-adic analysis,
to interpolation problems, and to the study
of ideal class groups of algebraic number fields.
=================================
The following reference and copy
of the following key publication:
Higher composition laws and applications
Manjul Bhargava
Proceedings of the International Congress
of Mathematicians, Madrid, Spain, 2006
© 2006 European Mathematical Society
http://www.icm2006.org/proceedings/Vol_II/contents/ICM_Vol_2_13.pdf
was found by Bill Dubuque and posted
in the following posting:
Bill Dubuque
Re: polynomials closed under multiplication ?
Posted: May 11, 2009 12:12 PM
http://mathforum.org/kb/message.jspa?messageID=6705115&tstart=0
To re-find this copy of the key publication,
see:
Web site of ICM of the year 2006:
http://www.icm2006.org/
Proceedings of the above congress:
http://www.icm2006.org/proceedings/
Volume 2 of these proceedings:
http://www.icm2006.org/proceedings/vol2.html
See under
3. Number Theory
Manjul Bhargava, Higher composition laws and applications
http://www.icm2006.org/proceedings/Vol_II/contents/ICM_Vol_2_13.pdf
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See also:
Bhargava strikes balance among many interests
By Steven Schultz
Princeton Weekly Bulletin
December 8, 2003
Vol. 93, No. 12
http://www.princeton.edu/pr/pwb/03/1208/1b.shtml
The Factorial Function and Generalizations
Manjul Bhargava
The American Mathematical Monthly,
Vol. 107, No. 9 (Nov., 2000), pp. 783-799
http://www.math.upenn.edu/~ted/620F09/Notes/Bhargava/2695734.pdf
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There is a lot more wonderful information
to organize about Manjul Bhargava, and of course,
much more about the ICM2010, but this is all
I have time to do today
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Countdown: The Fields medals 2010
will be awarded tomorrow,
on Thursday, August 19, 2010.
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