Yuan Liu

Department of Mathematics

University of Wisconsin-Madison

The main focus of my research is in number theory and group theory. In particular, I am interested in the inverse Galois problem, local behaviors of number field extensions and Galois representations. My research interests also involve random groups and elliptic curves.





  • The free group on n generators modulo n+u random relations as n goes to infinity, with Melanie Matchett Wood, arxiv preprint


  • The realizability problem with inertia conditions, submitted, arxiv preprint