Matias Relyea 賀彥龍

My name is Matias, and I am a first-year student in the Department of Mathematics at the University of North Carolina at Chapel Hill.

I am a Visiting Research Fellow at the Einstein Institute of Mathematics REU for Summer 2026.

This website serves the dual purpose of presenting both expository and original work pertaining to areas that I am interested in (papers and publications, under Articles), as well as acting as a semi-serious pseudo-blog (under Memoirs) that documents some of my mathematical experiences, opinions, and sometimes existential pieces that make no sense. Currently I am interested in number theory and algebra—specifically reciprocity laws—but new mathematical territory will cause my interests to expand and change. I currently have developing interests in algebraic geometry, algebraic topology, and Lie theory. Thank you for visiting this site.

I wrote a math REU application guide for the 2026 cycle from a first year perspective, check it out.

Oh, and a little TeXnique can't hurt right?