Morgan Opie

E-mail   mopie AT math DOT ucla DOT edu
Office   MS6903
Pronouns   She/her

I am a Hedrick Assistant Adjunct Professor and NSF Postdoc at UCLA. My postdoctoral mentor is Mike Hill and I am part of the topology group.

My interests are primarily in homotopy theory and its applications to problems in geometry and topology. In my PhD thesis, I focused on the construction and classification of complex topological vector bundles of rank three on complex projective five-space. I am currently thinking about other problems related to (unstable) vector bundles and how they can be studied using tools from chromatic homotopy theory.

I am also interested in homotopy-theoretical aspects of algebraic geometry, e.g. motivic homotopy theory. My projects in this area have involved analogues classical invariants (degree and Euler characteristic) in motivic homotopy theory. My interest in algebraic geometry goes back to my undergraduate thesis, where I studied extremal effective divisors on the moduli space of stable rational curves with marked points.

I have also worked on various topics related to abstract homotopy theory and its applications, including homotopy theory of graphs and homotopy type theory.

Before UCLA, I completed my PhD at Harvard, where I worked with Mike Hopkins. I did my undergraduate at the University of Massachusetts Amherst, and wrote an honors thesis with Jenia Tevelev. Prior to that, I earned an Associate's degree at Cape Cod Community College.

For four years, I was an organizer for the MIT Talbot Workshop. If you have questions or suggestions related to Talbot, you can e-mail talbotworkshop AT gmail DOT com; or, if you prefer, I am still happy to talk about Talbot.

My CV, last updated February 2023, is here.

Research Teaching