I am a graduate student of mathematics, at the Hebrew University of Jerusalem, Israel under Prof. Elon Lindenstrauss.

My research interests include:

## About

## Research

Below are links to my papers and preprints.

Actual published articles may change slightly from the version available here.

## Teaching

This year (2016-2017) I am teaching the following courses:

- Fall Semester - Infintisimal Calculus I - Prof. Ron Livne.
- Spring Semester - Advanced Calculus II (vector calculus and differential geometry) - Prof. Noam Berger.

I have previously been a teaching assistant in the following courses at the Hebrew University:

### 2015-2016

- Fall Semester - Infintisimal Calculus I - Prof. Mike Hochman
- Spring Semester - Calculus for computer science - Dr. Yves Godin.

### 2014-2015

- Fall Semester - Infintisimal Calculus I - Prof. Mike Hochman
- Spring Semester - Not teaching, on research visit to UC-Berkeley.

### 2013-2014

- Fall Semester - Mathematics for Chemistery students - Mr. Itamar Zwick
- Spring Semester - Calculus for computer science - Dr. Yves Godin.

### 2012-2013

- Fall Semester - Group theory and basic algebra - Prof. Aner Shalev.
- Spring Semester - Calculus for computer science - Prof. Raz Kupferman.

### 2011-2012

- Fall Semester - Advanced Infintisimal Calculus I - Prof. Andrzej Szankowski
- Spring Semester - Calculus for computer science - Dr. Jonathan Breuer.

### 2010-2011

- Fall Semester - Matap I (Mathematics for Physicists) - Prof. Ruth Lawrence.
- Spring Semester - Mathematics For Chemistery students II.

### 2009-2010

- No teaching this year.

### 2008-2009

- Spring Semester - Introduction to Differential Geometry for undergraduate students - Dr. Jake Solomon.

## Notes

Not intended for publication.

- Stationary phase technique and Littlewood-Paley theory - an introductory notes regarding topics in harmonic analysis - Presented in decoupling learning seminar, HUJI 2016.
- Host's theorem and equidistribution - an introductory notes regarding Host's theorem - Presented in dynamics seminar, Tel-Aviv University 2016.
- Quantitative Dani-Smilie - an explicit write-up of effective Dani-Smilie theorem.
- VdC estimate for the circle problem - basic techniques of Poisson summation + uncertainty + Bessel functions estimates, Presented in Fourier learning seminar, HUJI 2015.
- Lattices of minimal co-volume in trees - Notes about Alex Lubotzky's paper, Presented in Trees seminar, HUJI 2015.
- Distribution of gaps in sqrt(n) mod 1 - Notes about the Elkies-McMullen theorem, Presented in Dynamics seminar, HUJI 2015.
- Introduction to the Hardy-Littlewood method and analytic approach to distribution of rational points over algebraic varities - Presented in a seminar about Rational Points, HUJI 2010.
- Sparse Ergodic Theorems - an overview of Bourgain's approach to prove sparse ergodic theorems, including Jones' theorem about spherical averages, a version of Stein's maximal inequality for spherical averages, and a proof of the oscillation inequality for the usual ergodic theorem.
- (Hebrew) Proof of vanishing of matrix coefficients for SLn(R), n larger than 3, following Howe's treatment - Presented in Automorphic Forms seminar in HUJI 2011.
- (Hebrew) Basic definitions and theorems regarding Cartan algebras in Lie Algebra - Preseneted in a graduate summer school, HUJI 2011.
- (Hebrew) Notes about the Adeles - Presented in a semunar about Class Fields theory, HUJI 2011.
- (Hebrew) Proof of quadratic reciprocity law by the Artin general reciprocity law, following Cassels - Presented in a semunar about Class Fields theory, HUJI 2011.
- (Hebrew) Introduction to Ratner theorems, for a student seminar in dynamics.
- (Hebrew) Proof of the main entropy estimate in Duke's theorem proof by Einsidler-Lindenstrauss-Michel-Venkatesh, using the Linnik Lemma.

## Links

Interesting Stuff

#### HUJI Links

Upcoming Seminars

Dynamics Seminars

HUJI Dynamics group

HUJI colloquium

TechMath listing

#### Math Blogs Links

Terry Tao's Blog

Emmanuel Kowalski's Blog

Tim Gowers' Blog

Climbing Mount Bourbaki

Not Precise (in Hebrew)

#### Various Links

Recent preprints in Number Theory

Recent preprints in Dynamical Systems

## Contact Me

I am available by e-mail at

Office address:

Ross Buliding 35,

Einstein Institute of Mathematics

Edmond J. Safra Campus

The Hebrew University of Jerusalem

Givat Ram. Jerusalem, 9190401 Israel