Oliver Edtmair ETH Zurich Institute for Theoretical Studies Scheuchzerstrasse 70, 8006 Zurich, Switzerland Email: oliver.edtmair at eth-its.ethz.ch

Photo: MFO Oberwolfach, CC BY-SA 2.0 DE

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I am a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich mentored by Paul Biran. Before that I was a graduate student at UC Berkeley advised by Michael Hutchings.

My research is in symplectic geometry and dynamics.

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Research

• A universal extension of helicity to topological flows (with S. Seyfaddini)
  (arXiv)

• On closed characteristics of minimal action on a convex three-sphere (with A. Abbondandolo and J. Kang)
  (arXiv, video)

• Symplectic capacities of domains close to the ball and Banach-Mazur geodesics in the space of contact forms (with A. Abbondandolo and G. Benedetti)
  Duke Math. J. 174, 1567-1646 (2025) (journal, arXiv, video)

• Legendrian embedded contact homology (with J. Chaidez, L. Wang, Y. Yao and Z. Zhao)
  (arXiv)

• An elementary alternative to PFH spectral invariants
  J. Symplectic Geom. 23, 511-574 (2025) (journal, arXiv)

• Disk-like surfaces of section and symplectic capacities
  Geom. Funct. Anal. 34, 1399-1459 (2024) (journal, arXiv, video)

• The Ruelle invariant and convexity in higher dimensions (with J. Chaidez)
  J. Eur. Math. Soc. (JEMS) (2025), published online first (journal, arXiv)

• PFH spectral invariants and C-infinity closing lemmas (with M. Hutchings)
  (arXiv, video)

• 3D convex contact forms and the Ruelle invariant (with J. Chaidez)
  Invent. Math. 229, 243-301 (2022) (journal, arXiv, video)