I am a first year Ph.D. student in Mathematics at the Hebrew University of Jerusalem, under the supervision of Tomer Schlank. Previously, I have completed my M.Sc. under the same advisor.

I am interested in Homotopy Theory and related fields such as Algebraic Geometry and Number Theory. I am particularly interested in Chromatic Homotopy Theory, Elliptic Cohomology, Spectral Algebraic Geometry, Algebraic K-Theory, ∞-Categories and Tensor Triangular Geometry.

Here is my *curriculum vitae*.

Shaul Barkan and I are running a *workshop on the Weil conjectures* in September 2020.

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

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

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.

*Intro to Spectra and Cohomology Theories*- Shaul Barkan*Formal Group Laws*(talk given by Stephan Snegirov, older notes from Caesarea 2017)*MU and Formal Group Laws*- Lior Yanovski*Landweber Exact Functor Theorem*- Shay Ben Moshe

*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.

*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.