Publications

See also a list of talks that covered some of these.

Machine learning

I led (co-led the first one with David Haber) the following reports at Daedalean:

• Concepts of Design Assurance for Neural Networks
  Daedalean and the European Union Aviation Safety. March 2020. 104 pages.
• Concepts of Design Assurance for Neural Networks II
  Daedalean and the European Union Aviation Safety. May 2021. 113 pages.
• Neural Network Based Runway Landing Guidance for General Aviation Autoland
  Daedalean. Federal Aviation Administration (William J. Hughes Technical Center, Aviation Research Division). November 2021. 140 pages.

Math

Papers

In chronological order of writing. The links on the title lead to the publisher (most often with a paywall), while PDFs are available by clicking on the icons. These may slightly differ from the published versions.

• Gaussian distribution of short sums of trace functions over finite fields 
  Mathematical Proceedings of the Cambridge Philosophical Society 163(3)
  November 2017. 42 pages.
• Integral monodromy groups of Kloosterman sheaves 
  Mathematika 64(3)
  June 2018. 27 pages.
• Distribution questions for trace functions with values in cyclotomic integers and their reductions 
  Transactions of the AMS 371(7)
  April 2019. 48 pages.
• Exponential sums and the large sieve 
  International Mathematics Research Notices
  August 2018. 28 pages.
• Joint distribution of inverses in matrix groups over finite fields 
  Research in Number Theory 5(4)
  November 2019. 16 pages.
• The average number of subgroups of elliptic curves over finite fields 
  Quarterly Journal of Mathematics 71(3)
  July 2020. 39 pages.
• A note on the dimension of the largest simple Hecke submodule 
  with Sandro Bettin and Maksym Radziwiłł
  International Mathematics Research Notices
  December 2018. 11 pages.
• Roots of $L$-functions of characters over function fields, generic linear independence and biases 
  Algebra & Number Theory
  2020. 41 pages.

Survey

Thesis

Student projects

• Associating abelian varieties to weight-2 modular forms: the Eichler-Shimura construction
  Master thesis (Stanford/EPFL), 2014. 111 pages. Companion poster
• Répartition de Frobenius et application aux courbes elliptiques
  EPFL. 2013. 100 pages.
• The correspondence between binary quadratic forms and quadratic fields
  EPFL. 2012. 99 pages.