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

Contact: sven.hirsch@ias.edu

  1. Stability of Llarull’s theorem in all dimensions, joint with Yiyue Zhang, 2023, arXiv
  2. Uniqueness of blowups for forced mean curvature flow, joint with Jonathan Zhu, 2023, arXiv
  3. 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
  4. Monotone quantities of p-harmonic functions and their applications, joint with Pengzi Miao and Luen-Fai Tam, 2022, PAMQ, arXiv
  5. Hawking mass monotonicity for initial data sets, 2022, arXiv
  6. Rigid comparison geometry for Riemannian bands and open incomplete manifolds, joint with Demetre Kazaras, Marcus Khuri and Yiyue Zhang, 2022, arXiv
  7. A generalization of Geroch’s conjecture, joint with Simon Brendle and Florian Johne, 2023, CPAM, arXiv
  8. The case of equality for the spacetime positive mass theorem, joint with Yiyue Zhang, JGA, 2022, arXiv
  9. 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
  10. On the Moduli Space of Asymptotically Flat Manifolds with Boundary and the Constraint Equations, joint with Martin Lesourd, CAG, 2021, arXiv
  11. Mass of asymptotically flat 3-manifolds with boundary, joint with Pengzi Miao and Tin-Yau Tsang, CAG, 2021, arXiv
  12. Spacetime Harmonic Functions and Applications to Mass, joint with Hubert Bray, Demetre Kazaras, Marcus Khuri and Yiyue Zhang, SIGMA, 2021, arXiv
  13. Contracting convex surfaces by mean curvature flow with free boundary on convex barriers, joint with Martin Li, AJM, 2023, arXiv
  14. Flatly Foliated Relativity, joint with Hubert Bray, Benjamin Hamm, James Wheeler and Yiyue Zhang, PAMQ, 2019, arXiv
  15. A Positive Mass Theorem for Manifolds with Boundary, joint with Pengzi Miao, PJM, 2019, arXiv