Robert F. Coleman
Encyclopedia
Robert F. Coleman is an American mathematician
, and professor at the University of California, Berkeley
. His primary research area is in number theory
, with specific interest in p-adic analysis
and arithmetic geometry. In particular, he is known for the study of curves of number fields
and the Diophantine properties of sets of torsion points, where he has developed techniques of p-adic integration, producing analogies of abelian integrals. He is also known for introducing p-adic Banach spaces into the study of modular forms.
He completed his bachelor's degree
at Harvard University
and subsequently attended Cambridge University for part III of the mathematical tripos
. While there John H. Coates provided him with a problem for his doctoral thesis, which he later completed at Princeton University
under the advising of Kenkichi Iwasawa
. The title of his thesis was Division Values in Local Fields, and it was later cited in Andrew Wiles's
final paper presenting the proof of Fermat's Last Theorem
.
He completed his postdoctoral studies at the University of Oxford
, where he was an adjunct professor for a year. He left at 26 to teach at the University of California, Berkeley
, where he remains today.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, and professor at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
. His primary research area is in number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
, with specific interest in p-adic analysis
P-adic analysis
In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers....
and arithmetic geometry. In particular, he is known for the study of curves of number fields
Algebraic number field
In mathematics, an algebraic number field F is a finite field extension of the field of rational numbers Q...
and the Diophantine properties of sets of torsion points, where he has developed techniques of p-adic integration, producing analogies of abelian integrals. He is also known for introducing p-adic Banach spaces into the study of modular forms.
He completed his bachelor's degree
Bachelor's degree
A bachelor's degree is usually an academic degree awarded for an undergraduate course or major that generally lasts for three or four years, but can range anywhere from two to six years depending on the region of the world...
at Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
and subsequently attended Cambridge University for part III of the mathematical tripos
Cambridge Mathematical Tripos
The Mathematical Tripos is the taught mathematics course at the University of Cambridge. It is the oldest Tripos that is examined in Cambridge.-Origin:...
. While there John H. Coates provided him with a problem for his doctoral thesis, which he later completed at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
under the advising of Kenkichi Iwasawa
Kenkichi Iwasawa
Kenkichi Iwasawa was a Japanese mathematician who is known for his influence on algebraic number theory.Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture...
. The title of his thesis was Division Values in Local Fields, and it was later cited in Andrew Wiles's
Andrew Wiles
Sir Andrew John Wiles KBE FRS is a British mathematician and a Royal Society Research Professor at Oxford University, specializing in number theory...
final paper presenting the proof of Fermat's Last Theorem
Fermat's Last Theorem
In number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two....
.
He completed his postdoctoral studies at the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...
, where he was an adjunct professor for a year. He left at 26 to teach at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
, where he remains today.
Selected works
- Coleman, Robert and McMurdy, Ken (2006). "Fake CM and the stable model of X_0(Np^3)". Doc. Math. No.Extra Vol., 261-300 (electronic). [MR] [GS?]
- Coleman, Robert F. (2005). "The canonical subgroup of E is Spec,R[x]/(x^ p+fracpE_p-1(E,ω)x)". Asian J. Math. 9 No.2, 257-260. [MR] [GS?]
- Coleman, Robert F. (2005). "On the components of X_0(p^n)". J. Number Theory 110 No.1, 3-21. [MR] [GS?]
- Coleman, Robert F. and Stein, William A. (2004). "Approximation of eigenforms of infinite slope by eigenforms of finite slope". In Geometric aspects of Dwork theory. Vol. I, II 437-449 Walter de Gruyter GmbH & Co. KG, Berlin. [MR] [GS?]
- Coleman, Robert F. (2003). "Stable maps of curves". Doc. Math. No. Extra Vol., 217-225 (electronic). Kazuya Kato's fiftieth birthday.