J.J. Sylvester Assistant Professor
Johns Hopkins University
kmarsh34@jh.edu
PhD, University College London, 2024
MMath, University of Warwick, 2020
My research is broadly in the area of geometric analysis, using techniques from the calculus of variations, geometric measure theory, and partial differential equations.
I am on the job market for positions starting Fall 2027.
| Isoperimetry by stretching
International Mathematics Research Notices, volume 2026, issue 18 |
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| Generic regularity of isoperimetric regions in dimension eight
Submitted for publication |
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| Gradient flow of phase transitions with fixed contact angle
Interfaces and Free Boundaries, published online first |
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| On isolated singularities and generic regularity of min-max CMC hypersurfaces
The Journal of Geometric Analysis, volume 35, article number 126 |
| Formalising linear elliptic PDE theory in Lean
Submitted for publication |
| Joel Dean Excellence in Teaching Award (twice)
Johns Hopkins University · 2024–25 and 2025–26 |
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| Partial Differential Equations II
Graduate · Spring 2026 |
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| Partial Differential Equations I
Graduate · Fall 2025 |
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| Honors Analysis I
Upper-level undergraduate · Fall 2025 |
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| Calculus on Manifolds
Upper-level undergraduate · Spring 2025 and 2027 |
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| Calculus I (Physical Sciences and Engineering)
First-year undergraduate · Fall 2024 and 2026 |
| Doctoral thesis | |
| Master's thesis |