Miriam Kuzbary

NSF Postdoctoral Fellow at the Georgia Institute of Technology

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Research Interests: Geometric Topology, Knot Theory, Group Theory

I am interested in link concordance and groups related to the study of link concordance (such as the knot concordance group, the pure braid group, and the string link concordance group). My work addresses these topics using generalizations of classical techniques related to combinatorial group theory as well as modern gauge theoretic tools from Heegaard Floer homology. Additionally, I am curious about questions involving the mapping class group and the various flavors of homology cobordism group.

I am a member of NAM and the AMS, and I am a Math Alliance mentor. I am also a founding mentor for the Atlanta Undergraduate Research Mathematics Seminar, a joint effort between metro Atlanta Universities.

I recieved my Ph.D. from Rice University under the supervision of Shelly Harvey and my postdoctoral mentor at Georgia Tech is Jen Hom.

Current and Upcoming Activities:

October 2022

Speaking at Louisiana State University.

November 2022

Speaking at Duke University.

Notes and Videos of Previous Talks:

I gave a talk about my paper "A note on pure braids and link concordance" in the CKVK* Seminar, you can find the video here.

You can find notes from a talk I gave on my paper "An Analogue of Milnor's Invariants for Knots in 3-Manifolds" at the Virginia Topology Conference at UVA here.

A while back, I gave an undergraduate colloquium for math and physics majors at Andrews University about cobordism groups, you can find the video here.