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Thomas W. Scanlon

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Thomas Warren Scanlon is an American mathematician known for his work in model theory. He was selected for the Gödel Lecture in 2024.[1]

Education and career

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Scanlon studied mathematics at the University of Chicago, earning a bachelor’s degree in 1993, and obtained his Ph.D. at Harvard University in 1997 under Ehud Hrushovski. His thesis was titled Model Theory of Valued D-Fields with Applications to Diophantine Approximations in Algebraic Groups.[2] He is a professor at the University of California, Berkeley.

His work lies in mathematical logic—particularly Model theory—with applications to number theory and arithmetic geometry (including the André–Oort conjecture)[3][4][5] and in algebra and Differential algebra.

In 2006, Scanlon was an invited speaker at the International Congress of Mathematicians in Madrid, speaking on Analytic difference rings.[6]

In 2024, Scanlon was selected for the Gödel Lecture.[1]

Selected publications

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In addition to the works cited in the footnotes:

  • A model complete theory of valued D-fields. In: Journal of Symbolic Logic, vol. 65, 2000, pp. 1758–1784.
  • with Jan Krajicek: Combinatorics with definable sets: Euler characteristics and Grothendieck rings. In: Bulletin of Symbolic Logic, vol. 6, 2000, pp. 311–330.
  • Diophantine geometry from model theory. In: Bulletin of Symbolic Logic, vol. 7, 2001, pp. 37–57.
  • A Euclidean Skolem–Mahler–Lech–Chabauty method. In: Math. Res. Lett., vol. 18, 2011, pp. 833–842.
  • with Itay Kaplan, Frank Wagner: Artin–Schreier extensions in NIP and simple fields. In: Israel J. Math., vol. 185, 2011, pp. 141–153. ArXiv
  • with Rahim Moosa: Generalized Hasse–Schmidt varieties and their jet spaces. In: Proc. Lond. Math. Soc., vol. 103, 2011, pp. 197–234. ArXiv
  • with Dragoș Ghioca: Algebraic equations on the adèlic closure of a Drinfeld module. In: Israel J. Math., vol. 194, 2013, pp. 461–483. ArXiv
  • Counting special points: Logic, diophantine geometry, and transcendence theory. In: Bulletin of the AMS, vol. 49, 2012, pp. 51–71. Online
  • with R. Benedetto, D. Ghioca, B. Hutz, P. Kurlberg, T. Tucker: Periods of rational maps modulo primes. In: Mathematische Annalen, vol. 355, 2013, pp. 637–660. ArXiv
  • with Alice Medvedev: Invariant varieties for polynomial dynamical systems. In: Annals of Mathematics, vol. 179, 2014, pp. 81–177. Online
  • with Yu Yasufuku: Exponential-polynomial equations and dynamical return sets. In: Int. Math. Res. Notes, 2013. ArXiv
  • O-minimality. In: Gazette des mathématiciens, no. 149, July 2016.
  • with James Freitag: Strong minimality and the –function. In: Journal of the European Mathematical Society, vol. 20, 2017, pp. 119–136. ArXiv

References

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  1. ^ a b "Gödel Lecturers". Association for Symbolic Logic. Retrieved May 11, 2026.
  2. ^ Thomas W. Scanlon at the Mathematics Genealogy Project
  3. ^ Scanlon: O-minimality as an approach to the André–Oort conjecture. In: Around the Zilber–Pink conjecture, Panoramas et Synthèses, no. 52, 2017, pp. 111–165.
  4. ^ Scanlon: A proof of the André–Oort conjecture using mathematical logic [after Pila, Wilkie and Zannier], Séminaire Bourbaki, Exposé 1037, Astérisque, 2010.
  5. ^ Scanlon: Local André–Oort conjecture for the universal abelian variety. In: Inventiones Mathematicae, vol. 163, 2006, pp. 191–211. ArXiv
  6. ^ List of International Congresses of Mathematicians Plenary and Invited Speakers
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