Robert F. Coleman
Robert F. Coleman | |
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 Robert Coleman at Oberwolfach in 1983 | |
| Born | November 22, 1954 |
| Died | March 24, 2014 (aged 59) |
| Nationality | American |
| Alma mater | |
| Known for |
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| Awards |
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| Scientific career | |
| Fields | Mathematics |
| Institutions | University of California, Berkeley |
| Doctoral advisor | Kenkichi Iwasawa |
Robert Frederick Coleman (November 22 1954 – March 24, 2014) was an American mathematician, and professor at the University of California, Berkeley.[1]
Biography
After graduating from
mathematical tripos. While there John H. Coates provided him with a problem for his doctoral thesis ("Division Values in Local Fields"), which he completed at Princeton University in 1979 under the advising of Kenkichi Iwasawa
.
He then had a one-year postdoctoral appointment at the MacArthur fellowship in 1987.[2]
Coleman died on March 24, 2014.[3]
Research
He worked primarily in
Mordell conjecture over function fields and managed to fill it in. With José Felipe Voloch, Coleman established an important unchecked compatibility in Benedict Gross's theory of companion forms.[citation needed
]
Coleman's effective version of Chabauty's method only applies to curves that satisfy Chabauty's condition. In 2004 Minhyong Kim published a far-reaching generalization of Chabauty's method.[4][5]
Selected works
- Coleman, Robert F. (1979), "Division values in local fields.", Invent. Math., 53 (2): 91–116, S2CID 122569381PhD thesis
- Coleman, Robert F. (1985), "Torsion points on curves and p-adic abelian integrals", Ann. of Math., 121 (1): 111–168, MR 0782557
- Coleman, Robert F. (1985), "Effective Chabauty", Duke Math. J., 52 (3): 765–770, MR 0808103
- Coleman, Robert F. (1987), "Ramified torsion points on curves", Duke Math. J., 54 (2): 615–640, MR 0899407
- Coleman, Robert F.; S2CID 122242212
- Coleman, Robert F. (1990), "Manin's proof of the Mordell conjecture over function fields", L'Enseignement Mathématique, 2e Série, 36 (3): 393–427, MR 1096426, archived from the originalon 2011-10-02
- Coleman, Robert F.; Voloch, José Felipe (1992), "Companion forms and Kodaira-Spencer theory", Invent. Math., 110: 263–281, S2CID 121416817
- Coleman, Robert F. (1996), "Classical and Overconvergent Modular Forms", Invent. Math., 124 (1–3): 215–241, S2CID 7995580
- Coleman, Robert F. (1997), "p-adic Banach spaces and families of modular forms.", Invent. Math., 127 (3): 417–479, S2CID 1677427
- Coleman, R.; Mazur, B. (1998), "The eigencurve" (PDF), Galois representations in arithmetic algebraic geometry (Durham, 1996), London Math. Soc. Lecture Note Ser., vol. 254, Cambridge: Cambridge Univ. Press, pp. 1–113, MR 1696469, archived from the original(PDF) on 2011-06-07
- Coleman, Robert F. (2003), "Stable maps of curves", Doc. Math., Extra Volume for Kazuya Kato's fiftieth birthday: 217–225, MR 2046600
References
- ^ "Robert F. Coleman | Department of Mathematics at University of California Berkeley". Math.berkeley.edu. Retrieved 2014-03-27.
- ^ (Freistadt 1987)
- ^ Baker, Matt (March 25, 2014). "Robert F. Coleman 1954-2014". Matt Baker's Math Blog. WordPress. Retrieved March 27, 2014.
- ^ Corwin, David (2021). "From Chabauty's method to Kim's non-abelian Chabauty's method" (PDF). Unpublished draft manuscript (math.berkeley.edu).
- ^ "The Chabauty-Coleman-Kim Method: from Theory to Practice (Lecture 1) by Netan Dogra". YouTube. International Centre for Theoreetical Science. September 2023.
- Freistadt, Margo (1987), "MS victim counts on helping others", Spokane Chronicle (July 23): 1
External links
- Robert Coleman's Home Page
- Robert F. Coleman at the Mathematics Genealogy Project
- Robert F. Coleman's facebook page
- Matt Baker's blog: Robert F. Coleman 1954-2014
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