I am a PhD student at the Hebrew University of Jerusalem, supervised by Tomer Schlank and Yoel Groman.
My mathematical fields of interest include Homotopy theory, Differential topology, Category theory and Floer theory.
Currently, my research focuses on generalizing ideas and results from Floer theory by utilizing the new language of Floer homotopy theory. 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
- 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.