About

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.

Organization

Kan Seminar

My advisor, Tomer Schlank, is running a Kan seminar, on classical results in Algebraic Topology and I am helping to organize it.

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

This day serves as a preparation for the Caesarea Workshop on Morava E-Theory. 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

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.