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Robert F. Coleman

January 06, 2023

Robert Frederick Coleman (November 22 1954 – March 24, 2014) was an American mathematician, and professor at the University of California, Berkeley.[1]

Robert F. Coleman
Robert Coleman at Oberwolfach in 1983
Born(1954-11-22)November 22, 1954
DiedMarch 24, 2014(2014-03-24) (aged 59)
NationalityAmerican
Alma mater
Known for
  • p-adic integration
  • Method of Coleman and Chabauty
  • Coleman-Mazur eigencurve
  • overconvergent p-adic modular forms
Awards
Scientific career
FieldsMathematics
InstitutionsUniversity of California, Berkeley
Doctoral advisorKenkichi Iwasawa

Biography

After graduating from Nova High School, he completed his bachelor's degree at Harvard University in 1976 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 ("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 Institute for Advanced Study and then taught at Harvard University for three years. In 1983, he moved to University of California, Berkeley. In 1985, he was struck with a severe case of multiple sclerosis, in which he lost the use of his legs. Despite this, he remained an active faculty member until his retirement in 2013. He was awarded a MacArthur fellowship in 1987.[2]

Coleman died on March 24, 2014.[3]

Research

He worked primarily in number theory, with specific interests in p-adic analysis and arithmetic geometry. In particular, he developed a theory of p-adic integration analogous to the classical complex theory of abelian integrals. Applications of Coleman integration include an effective version of Chabauty's theorem concerning rational points on curves and a new proof of the Manin-Mumford conjecture, originally proved by Raynaud. Coleman is also known for introducing p-adic Banach spaces into the study of modular forms and discovering important classicality criteria for overconvergent p-adic modular forms. With Barry Mazur, he introduced the eigencurve and established some of its fundamental properties. In 1990, Coleman found a gap in Manin's proof of the 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]

Selected works

  • Coleman, Robert F. (1979), "Division values in local fields.", Invent. Math., 53 (2): 91–116, Bibcode:1979InMat..53...91C, doi:10.1007/BF01390028, MR 0560409, S2CID 122569381 PhD thesis
  • Coleman, Robert F. (1985), "Torsion points on curves and p-adic abelian integrals", Ann. of Math., 121 (1): 111–168, doi:10.2307/1971194, JSTOR 1971194, MR 0782557
  • Coleman, Robert F. (1985), "Effective Chabauty", Duke Math. J., 52 (3): 765–770, doi:10.1215/s0012-7094-85-05240-8, MR 0808103
  • Coleman, Robert F. (1987), "Ramified torsion points on curves", Duke Math. J., 54 (2): 615–640, doi:10.1215/s0012-7094-87-05425-1, MR 0899407
  • Coleman, Robert F.; de Shalit, Ehud (1988), "p-adic regulators on curves and special values of p-adic L-functions", Invent. Math., 93 (2): 239–266, Bibcode:1988InMat..93..239C, doi:10.1007/bf01394332, MR 0948100, S2CID 122242212
  • Coleman, Robert F. (1990), , L'Enseignement Mathématique, 2e Série, 36 (3): 393–427, ISSN 0013-8584, MR 1096426, archived from the original on 2011-10-02
  • Coleman, Robert F.; Voloch, José Felipe (1992), "Companion forms and Kodaira-Spencer theory", Invent. Math., 110: 263–281, Bibcode:1992InMat.110..263C, doi:10.1007/bf01231333, MR 1185584, S2CID 121416817
  • Coleman, Robert F. (1996), "Classical and Overconvergent Modular Forms", Invent. Math., 124 (1–3): 215–241, Bibcode:1996InMat.124..215C, doi:10.1007/s002220050051, MR 1369416, S2CID 7995580
  • Coleman, Robert F. (1997), "p-adic Banach spaces and families of modular forms.", Invent. Math., 127 (3): 417–479, Bibcode:1997InMat.127..417C, CiteSeerX 10.1.1.467.377, doi:10.1007/s002220050127, MR 1431135, S2CID 1677427
  • Coleman, R.; Mazur, B. (1998), (PDF), Galois representations in arithmetic algebraic geometry (Durham, 1996), London Math. Soc. Lecture Note Ser., vol. 254, Cambridge: Cambridge Univ. Press, pp. 1–113, doi:10.1017/CBO9780511662010.003, ISBN 9780511662010, 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

  1. ^ "Robert F. Coleman | Department of Mathematics at University of California Berkeley". Math.berkeley.edu. Retrieved 2014-03-27.
  2. ^ (Freistadt 1987)
  3. ^ Baker, Matt (March 25, 2014). "Robert F. Coleman 1954-2014". Matt Baker's Math Blog. WordPress. Retrieved March 27, 2014. {{cite web}}: External link in |work= (help)
  • 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

January 06, 2023
robert, coleman, robert, frederick, coleman, november, 1954, march, 2014, american, mathematician, professor, university, california, berkeley, robert, coleman, oberwolfach, 1983born, 1954, november, 1954diedmarch, 2014, 2014, aged, nationalityamericanalma, ma. Robert Frederick Coleman November 22 1954 March 24 2014 was an American mathematician and professor at the University of California Berkeley 1 Robert F ColemanRobert Coleman at Oberwolfach in 1983Born 1954 11 22 November 22 1954DiedMarch 24 2014 2014 03 24 aged 59 NationalityAmericanAlma materHarvard University Princeton UniversityKnown forp adic integration Method of Coleman and Chabauty Coleman Mazur eigencurve overconvergent p adic modular formsAwardsMacArthur Fellow 1987 NSF GRFP 1976 Intel STS 1972 Scientific careerFieldsMathematicsInstitutionsUniversity of California BerkeleyDoctoral advisorKenkichi Iwasawa Contents 1 Biography 2 Research 3 Selected works 4 References 5 External linksBiography EditAfter graduating from Nova High School he completed his bachelor s degree at Harvard University in 1976 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 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 Institute for Advanced Study and then taught at Harvard University for three years In 1983 he moved to University of California Berkeley In 1985 he was struck with a severe case of multiple sclerosis in which he lost the use of his legs Despite this he remained an active faculty member until his retirement in 2013 He was awarded a MacArthur fellowship in 1987 2 Coleman died on March 24 2014 3 Research EditHe worked primarily in number theory with specific interests in p adic analysis and arithmetic geometry In particular he developed a theory of p adic integration analogous to the classical complex theory of abelian integrals Applications of Coleman integration include an effective version of Chabauty s theorem concerning rational points on curves and a new proof of the Manin Mumford conjecture originally proved by Raynaud Coleman is also known for introducing p adic Banach spaces into the study of modular forms and discovering important classicality criteria for overconvergent p adic modular forms With Barry Mazur he introduced the eigencurve and established some of its fundamental properties In 1990 Coleman found a gap in Manin s proof of the Mordell conjecture over function fields and managed to fill it in With Jose Felipe Voloch Coleman established an important unchecked compatibility in Benedict Gross s theory of companion forms citation needed Selected works EditColeman Robert F 1979 Division values in local fields Invent Math 53 2 91 116 Bibcode 1979InMat 53 91C doi 10 1007 BF01390028 MR 0560409 S2CID 122569381 PhD thesis Coleman Robert F 1985 Torsion points on curves and p adic abelian integrals Ann of Math 121 1 111 168 doi 10 2307 1971194 JSTOR 1971194 MR 0782557 Coleman Robert F 1985 Effective Chabauty Duke Math J 52 3 765 770 doi 10 1215 s0012 7094 85 05240 8 MR 0808103 Coleman Robert F 1987 Ramified torsion points on curves Duke Math J 54 2 615 640 doi 10 1215 s0012 7094 87 05425 1 MR 0899407 Coleman Robert F de Shalit Ehud 1988 p adic regulators on curves and special values of p adic L functions Invent Math 93 2 239 266 Bibcode 1988InMat 93 239C doi 10 1007 bf01394332 MR 0948100 S2CID 122242212 Coleman Robert F 1990 Manin s proof of the Mordell conjecture over function fields L Enseignement Mathematique 2e Serie 36 3 393 427 ISSN 0013 8584 MR 1096426 archived from the original on 2011 10 02 Coleman Robert F Voloch Jose Felipe 1992 Companion forms and Kodaira Spencer theory Invent Math 110 263 281 Bibcode 1992InMat 110 263C doi 10 1007 bf01231333 MR 1185584 S2CID 121416817 Coleman Robert F 1996 Classical and Overconvergent Modular Forms Invent Math 124 1 3 215 241 Bibcode 1996InMat 124 215C doi 10 1007 s002220050051 MR 1369416 S2CID 7995580 Coleman Robert F 1997 p adic Banach spaces and families of modular forms Invent Math 127 3 417 479 Bibcode 1997InMat 127 417C CiteSeerX 10 1 1 467 377 doi 10 1007 s002220050127 MR 1431135 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 doi 10 1017 CBO9780511662010 003 ISBN 9780511662010 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 2046600References Edit 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 a href Template Cite web html title Template Cite web cite web a External link in code class cs1 code work code help Freistadt Margo 1987 MS victim counts on helping others Spokane Chronicle July 23 1External links EditRobert 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 Retrieved from https en wikipedia org w index php title Robert F Coleman amp oldid 1037313279, wikipedia, wiki, book, books, library,

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