Department of Mathematics, Stanford University
Building 380, Stanford, CA 94305
email: runger [at] stanford [dot] edu
Department of Mathematics, Stanford University
Building 380, Stanford, CA 94305
email: runger [at] stanford [dot] edu
I'm an NSF Postdoc at Stanford University, hosted by Jonathan Luk, and a Miller Fellow at UC Berkeley, hosted by Sung-Jin Oh.
I'm interested in general relativity, nonlinear wave equations, and geometric analysis.
Here is my CV (updated 07/14/24).
I received my PhD at Princeton University in 2024, where I was advised by Mihalis Dafermos.
I received my undergraduate degree at the University of Tennessee, where I was mentored by Alexandre Freire.
A note on Huisken's isoperimetric mass (2024)
with Jeff Jauregui and Dan A. Lee
arXiv:2408.08871
Extremal black hole formation as a critical phenomenon (2024)
with Christoph Kehle
arXiv:2402.10190
Event horizon gluing and black hole formation in vacuum: the very slowly rotating case (2023)
with Christoph Kehle
Advances in Mathematics 452 (2024) (arXiv:2304.08455)
Gravitational collapse to extremal black holes and the third law of black hole thermodynamics (2022)
with Christoph Kehle
to appear in J. Eur. Math. Soc. (arXiv:2211.15742)
Noncompact fill-ins of Bartnik data (2022)
with Dan A. Lee and Martin Lesourd
J. Geom. Anal. 34:102 (2024) (arXiv:2211.06280)
Density and positive mass theorems for incomplete manifolds (2022)
with Dan A. Lee and Martin Lesourd
Calc. Var. Partial Differential Equations 62 (2023) (arXiv:2201.01328)
Density and positive mass theorems for initial data sets with boundary (2021)
with Dan A. Lee and Martin Lesourd
Comm. Math. Phys. 395.2 (2022) (arXiv:2112.12017)
The positive mass theorem with arbitrary ends (2021)
with Martin Lesourd and Shing-Tung Yau
J. Differential Geom. 128.1 (2024) (arXiv:2103.02744)
Positive scalar curvature on noncompact manifolds and the Liouville theorem (2020)
with Martin Lesourd and Shing-Tung Yau
to appear in Comm. Anal. Geom. (arXiv:2009.12618)
Southern California geometric analysis seminar | 2025 |
Princeton/IAS analysis seminar | 2024 |
Penn State PDE seminar | 2024 |
Cambridge PDE seminar | 2024 |
UTK geometric analysis seminar | 2024 |
Harvard BHI foundations seminar | 2024 |
MIT string/gravity seminar | 2024 |
EPFL analysis seminar | 2024 |
Columbia analysis seminar | 2023 |
Cretan waves conference | 2023 |
Online mathematical GR and hyperbolic PDE seminar | 2023 |
University of Crete Center for Theoretical Physics | 2023 |
Edinburgh analysis seminar | 2023 |
Oxbridge PDE conference | 2023 |
Rutgers hyperbolic and dispersive PDE seminar | 2023 |
Berkeley analysis seminar | 2023 |
Vanderbilt analysis seminar | 2023 |
Harvard BHI colloquium | 2023 |
Cambridge Friday GR seminar | 2023 |
Zurich mathematical physics & PDE seminar | 2022 |
Imperial College London junior analysis seminar | 2022 |
Texas A&M YMNCGA | 2022 |
Harvard CMSA workshop on scalar curvature and minimal surfaces | 2022 |
Joint Mathematics Meeting special session on scalar curvature and convergence | 2022 |
Johns Hopkins analysis seminar | 2021 |
Harvard CMSA general relativity seminar | 2021 |
Princeton junior general relativity seminar | 2021 |