Alex Manchester

I am a fourth-year graduate student in the math department at Rice University. My advisor is Prof. Shelly Harvey, and my research interests are in knot concordance, 4-dimensional manifolds, and satellite operators, especially in the topological setting.

I received a B.S. in Mathematics with Departmental Honors from the University of Chicago in 2019.

Preprints (both have been submitted for publication):

• "New examples of topologically slice links" https://arxiv.org/abs/2306.11594

• "Action of the Mazur pattern up to topological concordance" https://arxiv.org/abs/2212.13640

I also work as the Mathematics Collection Development assistant at Rice's Fondren Library. I assist with the selection and acquisition of new books, as well as the weeding of of damaged and outdated books in the collection. Additionally, I contribute to our online research guides (https://libguides.rice.edu/), particularly the guides on math and AI, and focusing on the history of math and the relationship between AI and accessibility. I am also helping out with events run by the library to introduce students to the university's Overleaf subscription.

Here is a copy of my CV.

I have also been involved in the Hatch Youth program at the Montrose Center, an after-school program providing tutoring and social activities aimed at LGBTQ youth in the Houston area.