Our Faculty

Huy Dang

Allen Ziebur Visiting Assistant Professor

Department of Mathematics and Statistics
WH 202

Background

Huy Dang’s research lies at the intersection of number theory and algebraic geometry, focusing on Galois covers of curves in characteristic p, particularly those with wild ramification. Such covers exhibit subtle ramification behaviors absent in characteristic zero, making them essential for understanding arithmetic geometry in positive characteristic. In particular, he studies their deformation and liftability to characteristic zero using tools from higher class field theory, non-archimedean geometry, and ramification theory.

Select Publications

  • "Deforming cyclic covers in towers," Algebraic Geometry (to appear), arXiv:2010.13614.
  • "a-Numbers of cyclic degree p^2 covers of the projective line" (with S. R. Groen), Journal of Number Theory, 279 (2026), 78–116.
  • "Hurwitz trees and deformations of Artin–Schreier covers," Annales de l’Institut Fourier (to appear), arXiv:2002.03719.
  • "The Moduli Space of Cyclic Covers in Positive Characteristic" (with M. Hippold), International Mathematics Research Notices (IMRN), 13 (2024), 10169–10188.
  • "Connectedness of the moduli space of Artin–Schreier curves of fixed genus," Journal of Algebra, 547 (2020), 398–429.

Education

  • PhD, University of Virginia

Research Interests

  • Arithmetic Geometry

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