Notes
The following notes are not meant 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 varieties - 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 - Presented in a graduate summer school, HUJI 2011.
- (Hebrew) Notes about the Adeles - Presented in a seminar 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.