Katie Marsden

Email: kmarsden"at"math.ucla.edu

Office: MS 6220 (Department of Mathematics, UCLA)

I am currently an Assistant Adjunct Professor at UCLA (since September 2024). My mentors are Monica Vişan and Rowan Killip. 

I obtained my PhD from EPFL in July 2024 under the supervision of Joachim Krieger. This is my thesis. You can see the slides from my (private) defense here.

Here is my cv.

My research concerns dispersive partial differential equations. I am particularly interested in geometric equations, probabilistic well-posedness, and integrable systems.

Publications and preprints: 

The Hamiltonian formulation of continuum Calogero-Moser models. With Rowan Killip and Monica Vişan. 

Preprint, 2026. Arxiv: arXiv:2604.09479.

Global solutions to the 3D half-wave maps equation with angular regularity. 

Published in Calculus of Variations and Partial Differential Equations, 65, 32 (2026). DOI: 10.1007/s00526-025-03202-3. The Arxiv version has some extra calculations. Click here for slides.

Almost sure scattering of the energy-critical NLS in d>6. 

Published in Communications on Pure and Applied Analysis, 2023, 22(10): 3165-3199. DOI: 10.3934/cpaa.2023106.  Arxiv: arXiv:2207.01399.

Teaching:

Spring 2026 I am teaching Math 135 Lec 2 (Ordinary Differential Equations) and Math 33B Lec 2 (Differential Equations). Courses I have previously taught are listed in my CV, course descriptions can be found here.

Enrolled students seeking information about my classes should refer to the course BruinLearn page. If you are on the waitlist and wish to be added to the BruinLearn, send me an email with your UID.

Undergrads interested in finding out about my research area can look at the slides from my Professor Talk for the UMSA.