Quang-Khai Nguyen's Home Page

nguyen[chez]math.univ-lyon1.fr

quang-khai.nguyen[chez]univ-lyon1.fr

About

I am a PhD student at Claude Bernard University Lyon 1, working on Arithmetic Dynamics and Transcendence under the direction of Professor Boris Adamczewski and Professor Charles Favre. Before that, I was a master's student at ENS de Lyon and Vietnam Institute of Mathematics.

Preprints

  • Spectrum of the refined Diophantine exponent , [arXiv]
  • Transcendence and measures via the refined Diophantine exponent , [arXiv]
  • (with Vo Quoc Bao), Abelian varieties are de Rham K(π,1) , [arXiv]
  • On the generating series of the degree sequence, Math. Ann. vol. 396 no. 10 (2026). DOI 10.1007/s00208-026-03517-2, [arXiv]
  • (with Khai-Hoan Nguyen-Dang), Remarks on a theorem of Silverman, The Ramanujan Journal (2026) 70:54. DOI 10.1007/s11139-026-01430-5, [arXiv]
    This replaces the earlier preprint On Some Variants Of Schinzel’s Theorem For Global Function Fields [arXiv] which is no longer intended for publication.
  • (with Khai-Hoan Nguyen-Dang), Detecting Linear Problem for Abelian Varieties and Tori over Finitely Generated Fields , [PDF]

Talks

  • Generating Series in Algebraic Dynamics, Number Theory Seminar - University of Waterloo, July 2026
  • The refined Diophantine exponent and its applications in transcendental number theory, Séminaire Combinatoire et Théorie des Nombres - Institut Camille Jordan, June 2026
  • On generating series of degree sequences in algebraic dynamics, Séminaire de Systèmes Dynamiques - Institut de Mathématiques de Toulouse, May 2026
  • Generating series of degree sequences in algebraic dynamics, Séminaires Algèbre-Géométrie - Laboratoire de Mathématiques de Versailles, January 2026

Reading seminars

  • Ritt’s theory of composite polynomials, online reading seminar on the book The Arithmetic of Polynomial Dynamical Pairs by Favre--Gauthier, April 2026
  • Dynamics over global fields, online reading seminar on the book The Arithmetic of Polynomial Dynamical Pairs by Favre--Gauthier, March 2026
  • Roth's theorem and the Siegel--Mahler theorem, online reading seminar on Diophantine geometry, December 2025
  • Height and mutual energy of measures, online reading seminar on Poineau's proof of the Bogomolov--Fu--Tschinkel conjecture, December 2025
  • (Pluri)potentiel theory on Berkovich spaces, online reading seminar on Poineau's proof of the Bogomolov--Fu--Tschinkel conjecture, November 2025
  • Jacobian varieties, online reading seminar on Group schemes and related topics, September 2024