Fernando Gouvêa
Carter Professor of Mathematics
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List of publications

(You need access to MathSciNet for most of the links below.)

MR2029078 (2004j:01006) Berlinghoff, William P.; Gouvêa, Fernando Q. Math through the ages. A gentle history for teachers and others. Expanded edition. Classroom Resource Materials Series. A joint publication of Oxton House Publishers, Farmington, ME; and Mathematical Association of America, Washington, DC, 2004. xii+275 pp. ISBN: 0-88385-736-7 (Reviewer: Wann-Sheng Horng) 01A05 (97D40)
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MR1860043 (2003a:11061) Gouvêa, Fernando Q. Deformations of Galois representations. Appendix 1 by Mark Dickinson, Appendix 2 by Tom Weston and Appendix 3 by Matthew Emerton. IAS/Park City Math. Ser., 9, Arithmetic algebraic geometry (Park City, UT, 1999), 233--406, Amer. Math. Soc., Providence, RI, 2001. (Reviewer: Gebhard Böckle) 11F80 (11F85 11R39 14D15)
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MR1824885 (2002f:11062) Gouvêa, Fernando Q. Where the slopes are. J. Ramanujan Math. Soc. 16 (2001), no. 1, 75--99. (Reviewer: Kevin L. James) 11F85 (11F25)
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MR1633805 (99f:11076) Gouvêa, Fernando Q.; Yui, Noriko Observations on Fermat motives of $K3$-type. J. Number Theory 71 (1998), no. 2, 203--226. (Reviewer: Caterina Consani) 11G25 (11G09 14G15 14J28)
MR1486834 (99a:11056) Gouvêa, Fernando Q.; Mazur, Barry On the density of modular representations. Computational perspectives on number theory (Chicago, IL, 1995), 127--142, AMS/IP Stud. Adv. Math., 7, Amer. Math. Soc., Providence, RI, 1998. (Reviewer: Andrea Mori) 11F33 (11F80)
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MR1488696 (98h:11155) Gouvêa, Fernando Q. $p$-adic numbers. An introduction. Second edition. Universitext. Springer-Verlag, Berlin, 1997. vi+298 pp. ISBN: 3-540-62911-4 11S80 (11-01 12J25)
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MR1481589 (99a:11052) Gouvêa, Fernando Q. Non-ordinary primes: a story. Experiment. Math. 6 (1997), no. 3, 195--205. (Reviewer: Wendell Culp-Ressler) 11F11 (11F25 11F30 11Y35)
MR1420206 (97k:11094) Gouvêa, Fernando Q.; Yui, Noriko "Brauer numbers" of twisted Fermat motives. Number theory (New York, 1991--1995), 151--175, Springer, New York, 1996. (Reviewer: Takeshi Ooe) 11G25 (14F20 14G15 14J20)
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MR1359960 (96i:11048) Gouvêa, Fernando Q.; Mazur, Barry Searching for $p$-adic eigenfunctions. Math. Res. Lett. 2 (1995), no. 5, 515--536. (Reviewer: Andrea Mori) 11F33 (11F85)
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MR1357212 (96j:11071) Gouvêa, Fernando Q. Deforming Galois representations: a survey. Seminar on Fermat's Last Theorem (Toronto, ON, 1993--1994), 179--207, CMS Conf. Proc., 17, Amer. Math. Soc., Providence, RI, 1995. (Reviewer: Nigel Boston) 11F80 (11F33 11R39)
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MR1340424 (97k:11095) Gouvêa, Fernando Q.; Yui, Noriko Arithmetic of diagonal hypersurfaces over finite fields. London Mathematical Society Lecture Note Series, 209. Cambridge University Press, Cambridge, 1995. xii+169 pp. ISBN: 0-521-49834-1 (Reviewer: Takeshi Ooe) 11G25 (14F20 14G15 14J20)
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MR1317641 (96d:11047) Coleman, Robert F.; Gouvêa, Fernando Q.; Jochnowitz, Naomi $E\sb 2$, $\Theta$, and overconvergence. Internat. Math. Res. Notices 1995, no. 1, 23--41 (electronic). (Reviewer: Andrea Mori) 11F33 (11F85)
MR1264001 (94k:11033) Gouvêa, Fernando Q. "A marvelous proof". Amer. Math. Monthly 101 (1994), no. 3, 203--222. (Reviewer: Henri Darmon) 11D41 (11G05 11G18)
MR1260956 (95a:11039) Gouvêa, Fernando Q. Continuity properties of $p$-adic modular forms. Elliptic curves and related topics, 85--99, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Alexey A. Panchishkin) 11F33 (11F85 14G20 22E35)
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MR1368406 (96g:11004) Advances in number theory. Proceedings of the Third Conference of the Canadian Number Theory Association held at Queen's University, Kingston, Ontario, August 18--24, 1991. Edited by Fernando Q. Gouvêa and Noriko Yui. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1993. xxiv+534 pp. ISBN: 0-19-853668-2 11-06
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MR1251959 (95b:11111) Gouvêa, Fernando Q. $p$-adic numbers. An introduction. Universitext. Springer-Verlag, Berlin, 1993. vi+282 pp. ISBN: 3-540-56844-1 (Reviewer: Daniel Barsky) 11S80 (11-01 11S85 12J25 30G06)
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MR1220270 (94c:11039) Gouvêa, F. Q.; Mazur, B. On the characteristic power series of the $U$ operator. Ann. Inst. Fourier (Grenoble) 43 (1993), no. 2, 301--312. (Reviewer: Andrea Mori) 11F33
MR1200814 (93m:11045) Gouvêa, Fernando Q. The square-free sieve over number fields. J. Number Theory 43 (1993), no. 1, 109--122. (Reviewer: John W. Jones) 11G05 (11N36)
MR1164797 (93j:11025) Gouvêa, Fernando Q. On the ordinary Hecke algebra. J. Number Theory 41 (1992), no. 2, 178--198. (Reviewer: Akira Kurihara) 11F33 (11F25 11F30 11F85 11R23)
MR1122070 (93d:11049) Gouvêa, F.; Mazur, B. Families of modular eigenforms. Math. Comp. 58 (1992), no. 198, 793--805. (Reviewer: Bas Edixhoven) 11F33 (11Y35 14G20)
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MR1080648 (92b:11039) Gouvêa, F.; Mazur, B. The square-free sieve and the rank of elliptic curves. J. Amer. Math. Soc. 4 (1991), no. 1, 1--23. (Reviewer: Dorian Goldfeld) 11G40 (11G05 11N35)
MR1183931 (93f:11034) Gouvêa, Fernando Quadros Formas modulares. (Portuguese) [Modular forms] Uma introdução. [An introduction] With a preface by Abramo Hefez. Monografías de Matemática [Mathematical Monographs], 47. Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 199?. iv+96 pp. ISBN: 85-244-0050-1 11Fxx
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MR1039770 (91b:11068) Gouvêa, Fernando Q. Deforming Galois representations: controlling the conductor. J. Number Theory 34 (1990), no. 1, 95--113. (Reviewer: Sheldon Kamienny) 11F85 (11F80 11R23)
MR1027593 (91e:11056) Gouvêa, Fernando Q. Arithmetic of $p$-adic modular forms. Lecture Notes in Mathematics, 1304. Springer-Verlag, Berlin, 1988. viii+121 pp. ISBN: 3-540-18946-7 (Reviewer: Alexey A. Panchishkin) 11F85 (11F80)
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