Alex Nolte

I am broadly interested in Teichmüller theory (higher rank and classical) and the surrounding mathematics. I have recently been working on questions on the Thurston-Klein geometry of Hitchin representations in PSL(n,R) and on Thurston's asymmetric metric on Teichmüller space.

Here is a list of my papers since the start of graduate school:

Research:

(With Max Riestenberg) Concave Foliated Flag Structures and the SL(3,R) Hitchin Component (arxiv).
On Foliations in PSL(4,R) Teichmüller Theory (arxiv).
Metrics on Hitchin components from Hölder distortion (2024) (arxiv).
Leaves of foliated projective structures, 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).

In Summer 2018, I was a participant in an (NSF funded) international research experience in Uzbekistan, which led to the following:

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)

I have given the following invited talks:

University of Illinois-Chicago Geometry-Topology Seminar (2024)
20 Years of Anosov Representations, Research Conference Component (2024)
AMS-UMI Joint meeting in Palermo, special session on Anosov Representations and Higher Teichmüller Theory (2024)
University of Chicago Geometric Analysis seminar (2024)
Washington University of St. Louis Geometry-Topology seminar (2024)
SE AMS sectional at Tallahassee special session in geometry and topology (2024)
Rice University geometry and topology seminar (2023)
University of Luxembourg geometry and topology seminar (2023)
Université de Strasbourg geometry and topology seminar (2023)
Universität Heidelberg geometry and topology seminar (2023)
Workshop: Metrics on Higher Teichmüller spaces (2023, 150-minute expository talk on the Bridgeman-Taylor metric on Quasi-Fuchsian space)
SE AMS Sectional, Special Session in Geometric Group Theory (2023)
Georgia Tech topology seminar (2023)
Université Côte d'Azur geometry seminar (2022)
University of Luxembourg geometry and topology seminar (Fall 2022)
University of Pavia geometry Seminar (2022)
Arbeitsgemeinschaft on Higher Teichmüller Theory (Oberwolfach) (2022, 75-minute expository talk on higher complex structures)
Geometric Structures NextGen Seminar (2022)
Wesleyan college graduate student seminar (2022)
Universität Heidelberg geometry and topology seminar (2022)
University of Luxembourg geometry and topology seminar (Summer 2022)
Geometry and topology graduate and postdoc seminar (GT GAPS) (2022)
UMass Amherst geometry and topology seminar (2022)
Chern Math Institute at Nankai University geometry and topology seminar (2022)

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