I am completing my PhD at the Hebrew University of Jerusalem this year, under the supervision of Tomer Schlank and Yoel Groman. I am currently seeking postdoctoral positions.
My research connects homotopy theory, differential topology, and symplectic geometry, with an emphasis on making geometric invariants accessible to computation. I have developed spectral sequence tools for flow categories and homotopical refinements of symplectic capacities, drawing on Morse and Floer homotopy theory. I also study symplectic embeddings through symplectic homology, using differential topology to develop computable invariants and investigate their geometric applications. Alongside my current research, I am interested in exploring bordism categories and topological quantum field theories, particularly their connections with homotopy theory and differential topology.
Feel free to reach out to me at: arye.deutsch@mail.huji.ac.il.

Conference talks
- Stable homotopical methods in geometry
Geometry and Topology Summer School. Weizmann Institute of Science 2026
Notes - Floer homotopy theory old and new
Homotopy Day. Weizmann Institute of Science 2025
Video - Floer spectral sequence
Young topologist meeting 2024. Münster, Germany
Also: The Faculty Day for the 100th anniversary of the Hebrew University of Jerusalem, 2025.
Poster - ∞-categorical Introduction to Spectra
Sea of Galilee workshop on algebraic models for spaces 2021. Sea of Galilee, Israel
Seminar talks and (selected) notes
- What Floer Homotopy Sees: Spectral Sequences and Symplectic Embeddings
Topology & Geometry Seminar, HUJI, October 6, 2026
Notes - Morava K-Theory and Equivariant Duality on Global Kuranishi Charts
Global Kuranishi charts seminar, HUJI, 2026
Notes - Cohen Jones Segal construction
Floer homotopy seminar, Online, 2024
Video - Intro to Floer homotopy
Floer homotopy seminar, Online, 2024
Notes, Video - Goodwillie TAQ tower
Synthetic methods in almost closed manifolds seminar. Jerusalem 2022
Notes - Adams Novikov spectral sequence and vanishing line
Synthetic methods in almost closed manifolds seminar. Jerusalem 2022
Notes - Morse Homology
PhD student seminar. Jerusalem 2022
Notes (these notes are written as a theater play, not as seminar notes) - Surgery theory: Intersection forms and L groups
Differential topology and the h-cobordism seminar, Jerusalem 2021
Notes (Hebrew) - Lens spaces and Reidemeister torsion
Differential topology and the h-cobordism seminar, Jerusalem 2021 - Homotopy groups and pair of pants (Pontryagin's theorem)
PhD student seminar. Jerusalem 2021
Notes (Hebrew) - Frobenius algebras and 2D TQFT
Kan seminar, Jerusalem 2020
Notes - Chromatic spectral sequences and Greek letter construction
Seminar on Computational Aspects of Chromatic Homotopy, Jerusalem 2019 - The firefighters problem on 2.5D
Faculty combinatorics seminar, Jerusalem, 2021
Slides
Master's thesis
I completed my master's thesis in combinatorics under the guidance of Ohad Noy Feldheim. You can find it here.

