Alex Nolte

About Me:

I am a rising 6th-year graduate student in mathematics at Rice University, as of Summer 2024. I am also a long-term visitor at Georgia Tech. I am supported by a NSF Graduate Research Fellowship. I work with Michael Wolf. My interests are in Teichmüller theory (higher and classical) and geometric structures.

Here is a cv (last updated Spring 2024).

Email:

alex (dot) (lastname) (at) rice.edu

Papers since the start of graduate school:

On Foliations in PSL(4,R) Teichmüller Theory (preprint).
Metrics on Hitchin components from Hölder distortion (2024) (arxiv).
Leaves of foliated projective structures, Accepted for publication in Advances in Mathematics, (arxiv, journal).
(with Tamunonye Cheetham-West) Characterizing candidates for Cannon's Conjecture from geometric measure theory, Bulletin LMS, 2023 (arXiv, journal)
Higher degree complex structures. Oberwolfach Reports 47 (2022). 44-47.
Canonical maps from spaces of higher complex structures to Hitchin components (2022, arXiv).

Undergraduate Research:

An application of Abel's method to the inverse Radon transform (with S. Alimov, J. David, J. Sherman, 2019, arXiv)
A boundary-value problem for the 3-D fractional wave equation with singularity (with J. David, J. Sherman, 2018, arXiv)

A drawing of the ruling of the boundary of the domain of discontinuity of a PSL(4,R) Hitchin representation in RP(3) and some leaves of the canonical codimension-1 foliation of a complementary domain. This is Figure 3 here.