I like writing, doodling, and making animations. Sometimes I make them about math. Below are links to various expository writings, slides, and other miscellaneous math communication stuff I’ve done.

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Notes, Expository Papers, and Slides

• Square K-Theory and Manifold Invariants. Write-up for a talk at Talbot 2022: Scissors Congruence and Algebraic K-theory (Summer 2022). Check out the slides for my presentation (~50min).
• An Introduction to Symplectic Geometry for Lagrangian Floer Homology. Expository master’s thesis (2022) written as part of my Ph.D. qualifying exam, supervised by Prof. Jonathan Block. Here are my notes from a talk (~50min) for the graduate geometry/topology seminar.
• Notes on classifying spaces of topological categories. Some notes about classifying spaces of categories and what happens when that category comes with extra topological structure.  Some of this was adapted from my undergrad thesis (Spring 2020), some was written in preparation for my PhD qualifying exam (Spring 2022), and some of it is just for fun.
• A Bit About Infinite Loop Spaces. An expository overview of infinite loop space theory written for Math 619: Algebraic Topology I (Spring 2021) at UPenn, with Prof. Mona Merling.  Check out the slides for my presentation (~25min).
• Freudenthal Suspension Theorem. Supplementary write-up to presentation for the Algebraic Topology Bridge Summer workshop (Summer 2020). Check out the slides for my presentation (~50 min).

Slides from other expository talks:

• The Stable Parametrized h-Cobordism Theorem: the K-theory part (~30m), presented at the online seminar leading up to the Spaces of Manifolds: Algebraic and Geometric Approaches BIRS workshop (Fall 2023).
• Equivariant Bundle Theory and Classifying Spaces (~50m), presented at eCHT’s equivariant homotopy theory reading seminar (Fall 2021).
• Bousfield Localization (~50min), presented at UPenn’s chromatic homotopy theory seminar (Summer 2021).
• Topological K-theory (~50min), presented at Algebraic Topology Bridge Summer Workshop (Summer 2021).

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Science Writing

In summer 2023, I was selected as a AAAS Mass Media Fellow. This program partners graduate students in science with a news outlet to help bring science stories to the public. During my fellowship with The Conversation U.S., I was mostly editing articles that were written by other academics, to help them write about their areas of expertise in a way that the public could understand.

As an editor, I worked on a variety of articles about science, technology and, of course, math. Whether explaining the math behind why hurricanes spin or exploring the mysterious origins of X in algebra, I happily snuck as much math as I could into The Conversation’s summer lineup. I also authored two articles:

• A brief illustrated guide to ‘scissors congruence’ − anancient geometric idea that’s still fueling cutting-edge mathematical research (with Mona Merling).
• Proving Fermat’s last theorem: 2mathematicians explain how building bridges within the discipline helped solve a centuries-old mystery (with David Bressoud).

See here for the full list of articles I worked on. I also wrote about the fellowship for an article in AMS Notices and my work was mentioned in an OMNIA article about science communication at Penn.

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