Alex Nolte
About Me:
I am a NSF postdoc based at the IHES, as of Summer 2025. My mentor is Fanny Kassel. I completed my PhD with Michael Wolf at Rice University in 2025. I'm interested in Teichmüller theory (higher and classical) and geometric structures. I will be at SLMath in Spring 2026.
Here is a cv (last updated Fall 2024).
Email:
(my surname) (at) ihes (dot) fr
Papers since the start of graduate school:
(With Ryan Dickman, Zach Himes, and Roberta Shapiro) Homotopy types of fine curve and fine arc complexes (2026, arxiv)
(With Katherine Williams Booth and Yvon Verberne) Graphs of Quasicircles and Quasiconformal Homeomorphisms (2026, arxiv)
Flexibility and degeneracy around a theorem of Thurston (2025, arxiv, talk)
(With Max Riestenberg) Concave Foliated Flag Structures and the SL(3,R) Hitchin Component, Advances in Mathematics, 2025 (arxiv, journal).
On Foliations in PSL(4,R) Teichmüller Theory (2024, arxiv).
Metrics on Hitchin components from Hölder distortion (2024) (arxiv).
Leaves of foliated projective structures, Advances in Mathematics, 2024 (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:
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.