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トポロジーに限らず, 数学者の系譜について知りたいときは, “The Mathematical Genealogy Project” の web
site で検索してみるとよい。 日本人の数学者は少なかったが, 結構増えてきた気がする。
有名な数学者の写真を集めた本として, Cook の [Coo09] がある。写真だけでなく, それぞれの数学者の生い立ちや数学観なども書かれていて,
結構面白い。
Category theory 関係の数学者については, nLab の people のページを見るとよい。
一口に数学者と言っても, 多種多様な考え方をする人がいることは誰でも気がついていることと思うが, Mumford は この blog の中で,
数学者を次の4つの種族 (tribe) に分類している。
- explorer
- alchemist
- wrestler
- detective
その動機になったのは Atiyah と Zeki による数学的な美の認識に関する実験である。
有名な数学者については, 様々な人が様々な文章を書いている。 目についたものを以下に書いてみた。順番は family name
のアルファベット順である。
References
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[AGH97]
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A. V. Arhangel\('\)skii, K. R. Goodearl, and B. Huisgen-Zimmermann.
“Kiiti Morita (1915–1995)”. In: Notices Amer. Math. Soc. 44.6
(1997), pp. 680–684.
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[And07]
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Emmanuel Andronikof. “Interview with Mikio Sato”. In: Notices
Amer. Math. Soc. 54.2 (2007), pp. 208–222.
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[Art]
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James G. Arthur. The work of Robert Langlands. arXiv: 2307.02571.
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[Bae]
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John C. Baez. Hoàng Xuân Sính’s Thesis: Categorifying Group
Theory. arXiv: 2308.05119.
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[Bar+15]
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Clark Barwick, Michael Hopkins, Haynes Miller, and Ieke Moerdijk.
“Daniel M. Kan (1927–2013)”. In: Notices Amer. Math. Soc. 62.9
(2015), pp. 1042–1045. url: https://doi.org/10.1090/noti1282.
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[Bei16]
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A. Beilinson. “I. M. Gelfand and his seminar—a presence”.
In: Notices Amer. Math. Soc. 63.3 (2016), pp. 295–298. arXiv:
1505.00710. url: https://doi.org/10.1090/noti1337.
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[Bis+21]
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Dietmar Bisch, David E. Evans, Robion Kirby, and Sorin Popa.
“Memories of Vaughan Jones”. In: Notices Amer. Math. Soc. 68.9
(2021), pp. 1540–1563. url: https://doi.org/10.1090/noti2358.
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[Buc07]
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Victor M. Buchstaber. “Kolmogorov and topology”. In: Kolmogorov’s
heritage in mathematics. Springer, Berlin, 2007, pp. 139–150. url:
https://doi.org/10.1007/978-3-540-36351-4_7.
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[CK19]
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Alain Connes and Joseph Kouneiher. “Sir Michael Atiyah, a knight
mathematician: a tribute to Michael Atiyah, an inspiration and a
friend”. In: Notices Amer. Math. Soc. 66.10 (2019), pp. 1660–1671.
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[Con]
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Alain Connes. On an idea of Michael Atiyah. arXiv: 1901.10761.
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[Coo09]
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Mariana Cook. Mathematicians: an outer view of the inner world.
Portraits by Mariana Cook, With an introduction by Robert Clifford
Gunning and an afterword by Brandon Fradd. Princeton University
Press, Princeton, NJ, 2009, p. 200. isbn: 978-0-691-13951-7.
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[Die09]
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Jean Dieudonné. A history of algebraic and differential topology
1900–1960. Modern Birkhäuser Classics. Reprint of the 1989 edition
[MR0995842]. Birkhäuser Boston,
Ltd., Boston, MA, 2009, pp. xxii+648. isbn: 978-0-8176-4906-7.
url: https://doi.org/10.1007/978-0-8176-4907-4.
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[Ehr84]
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Andrée Charles Ehresmann. “From fibre bundles to categories”. In:
Cahiers Topologie Géom. Différentielle 25.1 (1984), pp. 15–35.
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[Fai18]
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Viviane Fairbank. The Greatest Mathematician You’ve Never Heard
Of. The Walrus. 2018. url: https://thewalrus.ca/the-greatest-mathematician-youve-never-heard-of/.
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[Fre21]
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Daniel S. Freed. “The Atiyah-Singer index theorem”. In: Bull. Amer.
Math. Soc. (N.S.) 58.4 (2021), pp. 517–566. arXiv: 2107.03557. url:
https://doi.org/10.1090/bull/1747.
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[LP19]
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François Laudenbach and Athanase Papadopoulos. “W. P. Thurston
and French mathematics”. In: EMS Surv. Math. Sci. 6.1-2
(2019). With contributions, pp. 33–81. arXiv: 1912.03115. url:
https://doi.org/10.4171/emss/32.
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[Ohs20]
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Ken’ichi Ohshika. “Thurston’s influence on Japanese topologists up
to the 1980s”. In: In
the tradition of Thurston. Springer, Cham, [2020] ©2020, pp. 59–65.
url: https://doi.org/10.1007/978-3-030-55928-1_2.
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[OP]
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Ken’Ichi Ohshika and Athanase Papadopoulos. A glimpse into
Thurston’s work. arXiv: 2009.06344.
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[OP20]
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Ken’ichi Ohshika and Athanase Papadopoulos, eds. In the tradition
of Thurston. Geometry and topology. Springer, Cham, [2020]
©2020, p. 713. isbn: 978-3-030-55928-1; 978-3-030-55927-4. url:
https://doi.org/10.1007/978-3-030-55928-1.
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[Pap]
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Athanase Papadopoulos. Dennis Sullivan: Mathematics and physics;
manifold and space. arXiv: 2204.11496.
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[Pap17]
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Athanase Papadopoulos. “Looking backward: from Euler to
Riemann”. In: From Riemann to differential geometry and relativity.
Springer, Cham, 2017, pp. 1–94. arXiv: 1710.03982.
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[Pap21]
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Athanase Papadopoulos. “Vladimir Turaev, friend and colleague”. In:
Topology and geometry—a collection of essays dedicated to Vladimir
G. Turaev. Vol. 33. IRMA Lect. Math. Theor. Phys. Eur. Math.
Soc., Zürich, [2021] ©2021, pp. 15–43. arXiv: 2107.06666. url:
https://doi.org/10.4171/IRMA/33-1/1.
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[RS10]
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Martin Raussen and Christian Skau. “Interview with Mikhail
Gromov”. In: Notices Amer. Math. Soc. 57.3 (2010), pp. 391–403.
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[Sak20]
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Makoto Sakuma. “A survey of the impact of Thurston’s work on knot
theory”. In: In the tradition of Thurston—geometry and topology.
Springer, Cham, [2020] ©2020, pp. 67–160. arXiv: 2002.00564. url:
https://doi.org/10.1007/978-3-030-55928-1_3.
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[San]
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Walter Ferrer Santos. Gerhard Hochschild (1915/2010) A
Mathematician of the XXth Century. arXiv: 1104.0335.
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[Sch07]
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Pierre Schapira. “Mikio Sato, a visionary of mathematics”. In:
Notices Amer. Math. Soc. 54.2 (2007), pp. 243–245.
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[Sch18]
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Pierre Schapira. “Fifty years of mathematics with Masaki
Kashiwara”. In: Proceedings of the International Congress of
Mathematicians—Rio de Janeiro 2018. Vol. I. Plenary lectures.
World Sci. Publ., Hackensack, NJ, 2018, pp. 97–110. arXiv:
1809.00586.
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[Seg21]
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Graeme Segal. “Michael Atiyah’s work in algebraic topology”. In:
Bull. Amer. Math. Soc. (N.S.) 58.4 (2021), pp. 481–516. url:
https://doi.org/10.1090/bull/1746.
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[Sta]
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Jim Stasheff. How Dennis realized he had ‘invented’ \(L_\infty \)-algebras a.k.a.
strongly homotopy Lie algebras. arXiv: 1609.08401.
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[Sta13]
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Jim Stasheff. “How Dennis and I
intersected”. In: Pure Appl. Math. Q. 9.2 (2013), pp. 371–385. url:
https://doi.org/10.4310/PAMQ.2013.v9.n2.a4.
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[Tu06]
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Loring W. Tu. “The life and works of Raoul Bott”. In: Notices Amer.
Math. Soc. 53.5 (2006), pp. 554–570. arXiv: math/0201027.
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