Papers

Graphical splittings of Artin kernels
We study Artin kernels and we show that they decompose as graphs of groups in a way that can be explicitly computed from the underlying graph.
Journal of Group Theory arXiv

Talks

Mostow's Rigidity Theorem
Following Foundations of Hyperbolic Manifolds by John Ratcliffe. A series of three talks presented together with another member of the UI Topology/Geometry RTG, Nicholas Cecil, over the course of three consecutive weeks.
Oct 11, 2022
Dehn-Nielsen-Baer Theorem and Milnor-Svarc Lemma
Following Chapter 8 of A Primer in Mapping Class Groups by Farb and Margalit. Proof of Dehn-Nielsen-Baer Theorem and Milnor-Svarc Lemma and all required definitions therein.
Jun 17, 2022
Chain complexes and homology
Following Chapter 1 of An Introduction to Homological Algebra by Weibel. Definitions, homotopy of chain complexes, homology.
Feb 15, 2022
Alexander's Method
Computation of some mapping class groups and proof of Alexander’s Method.
Sep 28, 2021

Attended Workshops and Conferences

2023 Georgia Topology Conference
A five day long conference focusing on spaces of diffeomorphisms, symplectomorphisms, and contactomorphisms in dimensions three and four.
May 24, 2023
Winter School in Singularities and Low Dimensional Topology
A week long summer school in Budapest focusing on knot theory, lattice cohomology, curve singularities, and Heegaard-Floer homology.
Jan 20, 2023
Graduate school on Geometric Group Theory and Low Dimensional Topology
An eleven day workshop in Madrid on topics relating to geometric group theory and low dimensional topology.
Apr 16, 2022
Eastern Illinois Integrated Conference in Geometry, Dynamics, and Topology 2020
[Postponed due to COVID]
Apr 16, 2020
Florida State University - UROP Symposium
A poster board presentation where participants present the work they completed throughout the year in the Undergraduate Research Opportunity Program. Presented our work on Artin Kernels, see Papers tab.
Apr 7, 2020