Thomas Scanlon

Job title: 
Professor
Bio: 

Other Affiliation: Group in Logic and the Methodology of Science(link is external)

Office Hours:  Mondays 1-3pm, Thursdays 2-3pm

Education:

  • S.B., University of Chicago, 1993
  • Ph.D., Harvard University, 1997

Selected Publications:

  1. A Euclidean Skolem-Mahler-Lech-Chabauty method (PDF file), Math. Res. Lett. 18 (2011), no. 5, 833 - 842.
  2. Artin-Schreier extensions in nip and simple fields (PDF file), with Itay Kaplan and Frank Wagner, Israel J. Math. 185 (2011), 141 - 153.
  3. Generalized Hasse-Schmidt varieties and their jet spaces (PDF file), with Rahim Moosa, Proc. Lond. Math. Soc. (3) 103 (2011), no. 2, 197 - 234.
  4. Algebraic equations on the adèlic closure of a Drinfeld module (PDF file), with Dragos Ghioca, Israel J. Math., on-line first, 2012.
  5. Periods of rational maps modulo primes (PDF file), with R. Benedetto, D. Ghioca, B. Hutz, P. Kurlberg, and T. Tucker, Math. Ann., on-line first, 2012.
  6. A proof of the André-Oort conjecture using mathematical logic [after Pila, Wilkie and Zannier] (PDF file), Astérisque, Séminaire Bourbaki, Exposé 1037, 2010 - 2011.
  7. O-minimality as an approach to the André-Oort conjecture (PDF file), Panoramas et Synthèses, 50 pages, (to appear).
  8. Invariant varieties for polynomial dynamical systems (PDF file), with Alice Medvedev, Annals of Mathematics, 99 pages, (to appear).
  9. Exponential-polynomial equations and dynamical return sets (PDF file), with Yu Yasufuku, International Mathematics Research Notices, published on-line April 30, 2013 doi:10.1093/imrn/rnt081(link is external)
Research interests: 

Model theory and applications to number theory

Supervised Dissertations

Reid RG Dale; Thomas Scanlon; Wesley Holliday
PhD Thesis (Author field refers to student + advisor), 2022
Adele Padgett; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2022
Benjamin Castle; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2022
Nick Ramsey; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2018
Michael Wan; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2017
Alex Kruckman; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2016
Arthur Tilley; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2014
Gwyneth Harrison-Shermoen; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2014
Khoa Nguyen; Paul A. Vojta; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2014
Meghan Anderson; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2011
Koushik Pal; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2011
Uri Andrews; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2011
Lynn Cho Scow; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2010
Paul Baginski; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2009
Joseph Flenner; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2008
Janak Ramakrishnan; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2008
Alice Medvedev; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2007
Dragos Ghioca; Bjorn Poonen; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2005
Clifton Ealy; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2004
Alf Angel Onshuus; Thomas Scanlon
PhD Thesis (Author field refers to student + advisor), 2002