Shay Ben Moshe


I am a math PhD student at the Hebrew University of Jerusalem under the supervision of Tomer Schlank. Previously I have finished my master's under his supervision as well. I am interested in homotopy theory, and in particular in chromatic homotopy theory, algebraic K-theory, (spectral) algebraic geometry and higher category theory.

Publications & Preprints


Higher Semiadditive Algebraic K-Theory and Redshift, with Tomer Schlank (2021), preprint (arXiv:2111.10203).


Evaluating red blood cell distribution width from community blood tests as a predictor of hospitalization and mortality in adults with SARS-CoV-2: a cohort study, with Tamar Banon et al. (2021), Annals of Medicine.

A 1 to 1000 SARS-CoV-2 reinfection proportion in members of a large healthcare provider in Israel: a preliminary report, with Galit Perez et al. (2021), preprint (medRxiv 2021.03.06.21253051).

Unusual Interactions of Pre-and-Post-Selected Particles, with Yakir Aharonov and Eliahu Cohen (2014), EPJ Web of Conferences 70 00053 (arXiv:1208.3203).


Weil Conjectures Workshop

Shaul Barkan and myself organized a workshop on the Weil conjectures in September 2020.

Kan Seminar

In 2019-2020 Semester A my advisor Tomer Schlank and I were running a Kan seminar on classical results in Algebraic Topology.

Chromatic Seminar

In the summer of 2019 I organized a seminar on computational results in Chromatic Homotopy. There are notes from some of the talks.

Caesarea Preparation Day 2019

I organized a preparation day for the Caesarea Workshop on Morava E-Theory in 2019. 4 talks were given, introducing the basics of Chromatic Homotopy, leading up to Landweber Exact Functor Theorem.

Master's Thesis

Towards Computation of HKR Generalized Characters at Height 2
I have completed my Master's degree under the supervision of Tomer Schlank.

The topic of the thesis is the usage of supersingular elliptic curves, to compute HKR Generalized Character Theory at height 2, using a computer (including code in Macaulay2). In addition, the thesis includes an introduction to Chromatic Homotopy Theory, Atiyah-Segal Completion Theorem and HKR Generalized Character Theory.

Talks Notes

Delta Power Operations, Talbot 2021: Ambidexterity in Chromatic Homotopy Theory, 26/10/2021
Notes on the construction of the delta power operations, constructed by Carmeli-Schlank-Yanovski for their proof of the ∞-semiadditivity of the T(n)-local category.

Integral Models for Spaces via the Higher Frobenius, Sea of Galilee Homotopy Workshop on Algebraic Models for Spaces, 14/09/2021
Notes on Allen's paper giving a model for space via the higher Frobenius.

Grothendieck-Lefschetz and the Weil Conjectures (except RH), Weil Conjectures Workshop, 19/09/2020
Notes from a talk on the Grothendieck-Lefschetz theorem, Zeta- and L-functions, and the implication of the Weil Conjectures (except for the Riemann Hypothesis), given at the workshop on the Weil Conjectures organized by Shaul Barkan and myself.

Algebraic K-Theory of Finite Fields, K-Theory Seminar, 01/04/2020
Notes from a talk on Quillen's computation of the algebraic K-theory of finite fields, and giving a modern perspective on the plus construction.

Tate Elliptic Curves and p-adic Uniformization, The HUJI-BGU Workshop in Arithmetic, 16/12/2019
Notes starting from elliptic curves over the complex numbers, leading to p-adic uniformization and Tate elliptic curves, given at a workshop on arithmetic dedicated to the memory of John Tate.

Prisms, Prismatic Cohomology Course, 08/12/2019
Notes on prisms, from a course on prismatic cohomology. These notes cover (parts of) chapter 3 of Bhatt and Scholze's paper.

∞-Categories and Spectra, Kan Seminar, 27/10/2019
Notes from an introductory talk on ∞-Categories, Higher Algebra and Spectra, given as an introduction towards the rest of the Kan seminar.

Topological Modular Forms and Homotopy groups of TMF, Seminar on computational results in Chromatic Homotopy, 11/09/2019
Notes on Topological Modular Forms, the construction of TMF, and (some) computations of its homotopy groups.

Galois Descent, Picard Groups and the K(n)-local Category, Seminar on computational results in Chromatic Homotopy, 22/08/2019
Notes on Galois descent, Galois extensions of general E-rings, Picard groups, and the usage of the above to compute the Picard group of the K(n)-local category.

Chromatic Homotopy, Nilpotence, and the Thick Subcategory Theorem, Seminar on computational results in Chromatic Homotopy, 04/07/2019
Notes from an introductory talk on Chromatic Homotopy, the Nilpotence theorem, and various corollaries including the Thick Subcategory theorem.

HKR Generalized Character Theory, Caesarea Workshop on Morava E-Theory, 17/06/2019
Notes on Hopkins-Kuhn-Ravenel Generalized Character Theory.

Landweber Exact Functor Theorem, Caesarea Workshop Preparation Day, 03/06/2019
Notes on the Landweber Exact Functor Theorem in Chromatic Homotopy Theory.
This talk was given on a preparation day to the Caesarea Workshop on Morava E-Theory, that I organized.

HHR Strategy for Kervaire Invariant One, Seminar on Equivariant Homotopy, 30/05/2019
Notes on the strategy of Hill-Hopkins-Ravenel's proof of the Kervaire invariant one problem.

Lubin-Tate Deformation Theory, Seminar on Spectral Algebraic Geometry, 06/12/2018
Notes on Lubin-Tate deformation theory of formal groups.

Neutral Tannakian Categories, Seminar on Nonabelian Chabauty Method, 25/11/2018
Notes on Neutral Tannakian Categories and Fundamental Groups.

A Stratified Homotopy Hypothesis, Caesarea Workshop on Factorization Homology, 18/06/2018
Notes on Exit-path ∞-Categories, based on Ayala-Francis-Rozenblyum's paper A Stratified Homotopy Hypothesis.

The Chromatic Picture, Seminar on Infinity Categorical Ambidexterity, 03/12/2017
Notes from an introductory talk on Chromatic Homotopy Theory.

The Algebraic Properties of Formal Group Laws, Caesarea Workshop on The Nilpotence Conjecture, 20/06/2017
Notes on the algebraic properties of formal group laws.

The Existence of Morse Functions (Hebrew), Seminar on Morse Theory, 21/11/2016
Notes on the existence of Morse functions on smooth manifolds.

K-Theory and Bott Periodicity (Hebrew), Seminar on Algebraic Topology, 02/12/2015
Notes on K-Theory and the proof of Bott Periodicity, based on the proof in Hatcher's book.