Starting in Fall 22, I will be a Brin Postdoctoral Fellow at the University of Maryland, mentored by Lei Chen.
I completed my PhD at the University of Utah in Spring 22. I was advised by Ken Bromberg
hoganson [at] umd [dot] edu
Office: 4305 Kirwan Hall
I'm interested in geometry, low dimensional topology, and geometric group theory. Specifically, I am studying the Lp metrics on Teichmüller space. I gave a short talk on my work at the Redbud Topology conference in Spring of 2021, the video of the talk is here. I am also working on questions about Big Mapping Class Groups ( arXiv ), and an analog of Out(F_n) for infinite, locally finite graphs ( arXiv and arXiv ).
My current coauthors and collaborators are Carolyn R. Abbot , George Domat, Sanghoon Kwak, Marissa Loving, Priyam Patel, and Rachel Skipper. In Fall 2020, I was 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 Fall 2022, I will be teaching Honors Calculus I, Math 140H at the University of Maryland.
In Spring 2022, I taught Math 1320, Engineering Calculus II, as well as Math 13, a bridge course for students moving from Calculs I to Engineering Calculus II. We used standards based grading.
In Spring 2021, I taught Math 2210-006, Calc III, online. We used standards based grading.
Upcoming
World of Geometric Group Theory Conference. September 2, Virtual (website TBA). University of Wisconsin- Milwauke Topology Seminar. September 14 (Virtual) Temple Geometry and Topology Seminar Brandeis Topology Seminar. October 11. Past Geometry, Arithmetic, and Groups. Austin, Texas. June 2022. Joint Mathematics Meeting. Virtual. April 2022. Women in Groups, Geometry, and Dynamics. Glacier National Park, Montana. August 2021. (Pictured) Artin Groups, CAT(0) Geometry and related topics, A conference in honor of Ruth Charney. The Ohio State University, July 2021. Nearly Carbon Neutral Geometric Topology Conference I was a co-organizer of the Infinite-type surfaces and big mapping class groups session. Virtual, June 2021. Redbud Topology Workshop. Virtually at Oklahoma State University. March 2021 Topology Students Workshop. Virtually at Georgia Tech. July 2020 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
I support this statement of inclusivity.
YGGT IX
YGGT VIII
From my garden
Summer School on GGT
From my front porch
Wasatch Topology Conference
Yellowstone National Park
There is winter in the desert
Some photos I've taken around home, the mountain west, and at conferences.