PhD Candidate at the University of Utah
Advised by Ken Bromberg
hoganson [at] math [dot] utah [dot] edu
Office: JWB 307
I'm interested in geometric group theory. My thesis research is on the Lp metrics on Teichmüller space.I am also involved in collaborations working on questions about Big Mapping Class Groups and and an analog of Out(F_n) for infinite, locally finite graphs. I'm currently supported on the NSF Research and Training Grant: Algebra, Geometry, and Topology at the University of Utah #1840190. While a master's student at Miami University I thought about Thompson's groups a lot, specifically the conjecture that Thompson's Group V is a universal coCF group. While advising a group of REU students as part of SUMSRI we proposed a potential counterexample to this conjecture: arXiv
In Spring 2021 I will be teaching Math 2210-006, Calc III. We will be using Canvas.
UpcomingWomen in Groups, Geometry, and Dynamics. Glacier National Park, Montana. August 2021 Past Young Geometric Group Theory IX. Saint-Jacut-de-la-mer, France. February 2020 Riemann Surfaces and their Moduli Spaces. University of Utah. February 2020 Wasatch Topology Conference. Midway, Utah. August 2019 Aspects of Geometric Group Theory. IHES summer school. July 2019 Young Geometric Group Theory VIII. Bilbao, Spain. June 2019 Visiting Graduate Student. Yale University. Fall Semester 2018. Wasatch Topology Conference. Midway, Utah. August 2018 Binghamton University Graduate Conference in Algebra and Topology. October 2014
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Some photos I've taken around home, the mountain west, and at conferences.