Some Notes
Additive Combinatorics
Sum Product Theorem and Solymosi's Proof
.
Plünnecke's Theorem and Ruzsa's Covering
.
Ruzsa's embedding.
Structure of Bohr sets
.
Roth's 3AP theorem.
Combinatorics
Szemerédi regularity lemma and its application
.
Some discrete geometry in R^n
.
Computational Learning and Teaching
VC dimension, Teaching dimension, and Sample compression
.
Information Complexity
Representation Theory
Quasirandomness of PSL_2(q)
.
A summary of Gowers's paper : Quasirandom groups
.
Quantum Information
Superdense Coding and Quantum Teleporation
.