Welcome to the webpage of Sven Hirsch

I am currently a member at the Institute for Advanced Study in Princeton working on Geometric Analysis and Mathematical Relativity, and this fall I am joining Columbia as Ritt Assistant Professor. In 2023, I obtained a PhD from Duke working with Hubert Bray where I won the L.P. Smith Award for Teaching Excellence and the Rudin Prize for Outstanding PhD Dissertations. Outside of math I enjoy climbing, surfing and mountaineering.

Contact: sven.hirsch@ias.edu

  1. Rigidity of spin fill-ins with non-negative scalar curvature, joint with Simone Cecchini and Rudolf Zeidler, 2024, arXiv
  2. Initial data sets with vanishing mass are contained in pp-wave spacetimes, joint with Yiyue Zhang, 2024, arXiv
  3. Stability of Llarull’s theorem in all dimensions, joint with Yiyue Zhang, 2023, arXiv
  4. Uniqueness of blowups for forced mean curvature flow, joint with Jonathan Zhu, 2023, arXiv
  5. Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem, joint with Demetre Kazaras, Marcus Khuri and Yiyue Zhang, 2023, IMRN, arXiv
  6. Monotone quantities of p-harmonic functions and their applications, joint with Pengzi Miao and Luen-Fai Tam, 2022, PAMQ, arXiv
  7. Hawking mass monotonicity for initial data sets, 2022, arXiv
  8. Rigid comparison geometry for Riemannian bands and open incomplete manifolds, joint with Demetre Kazaras, Marcus Khuri and Yiyue Zhang, 2022, arXiv
  9. A generalization of Geroch’s conjecture, joint with Simon Brendle and Florian Johne, 2023, CPAM, arXiv
  10. The case of equality for the spacetime positive mass theorem, joint with Yiyue Zhang, JGA, 2022, arXiv
  11. Spacetime Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Initial Data for the Einstein Equations, joint with Demetre Kazaras and Marcus Khuri, JDG, 2021, arXiv
  12. On the Moduli Space of Asymptotically Flat Manifolds with Boundary and the Constraint Equations, joint with Martin Lesourd, CAG, 2021, arXiv
  13. Mass of asymptotically flat 3-manifolds with boundary, joint with Pengzi Miao and Tin-Yau Tsang, CAG, 2021, arXiv
  14. Spacetime Harmonic Functions and Applications to Mass, joint with Hubert Bray, Demetre Kazaras, Marcus Khuri and Yiyue Zhang, SIGMA, 2021, arXiv
  15. Contracting convex surfaces by mean curvature flow with free boundary on convex barriers, joint with Martin Li, AJM, 2023, arXiv
  16. Flatly Foliated Relativity, joint with Hubert Bray, Benjamin Hamm, James Wheeler and Yiyue Zhang, PAMQ, 2019, arXiv
  17. A Positive Mass Theorem for Manifolds with Boundary, joint with Pengzi Miao, PJM, 2019, arXiv