Contact
Email: stevenson "at" princeton.edu
Employment
ETH Zürich — Forschungsinstitut für Mathematik (2026–)
Hermann-Weyl-Instructor
U.S. National Science Foundation Postdoctoral Research Fellow
Education
Doctor of Philosophy in Mathematics — Princeton University (2021–2026)
U.S. National Science Foundation Graduate Research Fellow
Adviser: Alexandru Ionescu
Thesis: Viscous Traveling Surface Waves
Master of Science in Mathematics — Carnegie Mellon University (2019–2021)
Honors Degree Program: undergraduate and master's degree programs completed simultaneously
Adviser: Ian Tice
Thesis: Miscellaneous Analysis of Micropolar Fluids, Screened Sobolev Spaces, and Multilayer Free Boundary Incompressible Navier-Stokes Equations
Bachelor of Science in Mathematics — Carnegie Mellon University (2017–2021)
GPA: 4.00/4.00
Mathematical Studies Program: honors undergraduate course sequence in analysis and algebra
Minor in Physics
Awards, Grants, & Scholarships
U.S. National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship (2027–2029), DMS #2602112.
Princeton University Department of Mathematics Merit Award, 2021
U.S. National Science Foundation Graduate Research Fellowship, 2021
Summer Research in Partial Differential Equations Grant recipient, 2019 & 2020
Barry M. Goldwater Scholar, 2020–2021
Roger N. Pedersen Memorial Award recipient, 2019–2020
Richard A. Moore Scholar, 2018–2019
Talks
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Dynamics Across Scales Workshop at ESI. Vienna, Austria. January 2027.
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Mathematical Fluid Seminar at Ochanomizu University. Tokyo, Japan. December 2026.
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Analysis of Viscous Incompressible Fluids Workshop at RIMS. Kyoto, Japan. December 2026.
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Differential Equations Seminar at TU Delft. Delft, Netherlands. November 2026.
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Current Trends in Fluid Dynamics Workshop at Brin Center. College Park, MD. April 2026.
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DE Seminar, University of Michigan. Ann Arbor, MI. March 2026.
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MOSAIC (virtual), February 2026.
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CNA Seminar, Carnegie Mellon University, Pittsburgh, PA. February 2026.
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Analysis of Fluids Seminar, Princeton University, Princeton, NJ. February 2026.
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DE Seminar, University of Missouri, Columbia, MO. January 2026.
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Department of Mathematics Seminar, Duke University, Durham, NC. January 2026.
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Analysis-Probability Seminar (virtual), Max Planck Institute, Leipzig, Germany. January 2026.
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Minisymposium on Nonlinear Waves and Interfacial Dynamics, SIAM PDE Conference. Pittsburgh, PA. November 2025.
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PDE-Applied Math Seminar, University of Maryland. College Park, MD. September 2025.
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DE Seminar, University of Michigan. Ann Arbor, MI. January 2025.
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Nonlinear PDE Seminar, Texas A&M University. College Station, TX. November 2024.
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Special Session on Fluids, Equadiff 2024. Karlstad, Sweden. June 2024.
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Recent developments in the study of free boundary problems in fluid mechanics, AMS Sectional Meeting. Washington D.C. April 2024.
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Summer School in Fluid Mechanics at Brin Center. College Park, MD. July 2023.
Publications and Preprints
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Smooth and swirling steady vortex rings near the Hill—Norbury family.
- Joint with Răzvan-Octavian Radu. In preparation.
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On large periodic traveling surface waves in porous media.
- Joint with Huy Q. Nguyen. 2026.
- arXiv.
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Desingularization of nondegenerate rotating vortex patches.
- Joint with Răzvan-Octavian Radu. 2025.
- arXiv.
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Gravity driven traveling bore wave solutions to the free boundary incompressible Navier-Stokes equations.
- Joint with Ian Tice. 2025.
- arXiv.
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Stationary wave solutions to two dimensional viscous shallow water equations: theory of small and large solutions.
- Joint with Ian Tice. 2025.
- Ann. Inst. H. Poincaré C Anal. Non Linéaire.
- arXiv.
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Periodic gravity-capillary roll wave solutions to the inclined viscous shallow water equations in two dimensions.
- 2024.
- SIAM J. Math. Anal.
- arXiv.
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The traveling wave problem for the shallow water equations: well-posedness and the limits of vanishing viscosity and surface tension.
- Joint with Ian Tice. 2023.
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Commun. Math. Phys.
- arXiv.
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Well-posedness of the stationary and slowly traveling wave problem for the free boundary incompressible Navier-Stokes equations.
- Joint with Ian Tice. 2023.
- J. Funct. Anal.
- arXiv.
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Well-posedness of the traveling wave problem for the free boundary compressible Navier-Stokes equations.
- Joint with Ian Tice. 2023.
- arXiv.
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Traveling wave solutions to the multilayer free boundary incompressible Navier-Stokes equations.
- Joint with Ian Tice. 2020.
- SIAM J. Math. Anal.
- arXiv.
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A truncated real interpolation method and characterizations of screened Sobolev spaces.
- Joint with Ian Tice. 2020.
- Commun. Pure Appl. Anal.
- arXiv.
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Analysis of micropolar fluids: existence of potential microflow solutions, nearby global-well-posedness, stability and attractiveness.
- Joint with Ian Tice. 2020.
- Acta Appl. Math.
- arXiv.