Here are some expository and (High School and University) Mathematics Olympiads material I have developed over the years.
Expository Articles
Some aspects of the Brascamp-Lieb inequality. pdf
Written as final project for the graduate course Harmonic Analysis (Spring 2026), taught by professor Marina Iliopoulou.
Big projective modules are free. pdf
Written as final project for the graduate course Algebraic K-Theory (Spring 2026), taught by professor Ioannis Emmanouil.
Distribution Theory Final Project (The Paley-Wiener-Schwartz Theorem and Sobolev Spaces). pdf
Written as final project for the undergraduate course Distribution Theory (Spring 2026).
The Combinatorial Nullstellensatz and some applications in classical problems. pdf
Notes accompying the talk given at the NKUA Mathematics Club in April 2026.
The Nagata-Smirnov metrization theorem. pdf
Written as a project for the undergraduate course Introduction to Topology (Fall 2025), taught by Irene Deligianni.
A mathematical, algorithmic and qualitative analysis of four estimates for π. pdf
Written as a project for the undergraduate course Introduction to Informatics (Fall 2024), taught by professor Marilena Mitrouli.
High School Mathematics Olympiads Articles and Handouts
Trigonometry and Analytic Tools in Olympiad Geometry Problems, Part I. Published on the arxiv.
Problems in competitions-mocks. pdf
Preparation for IMO 2025 - Bash handout (in Greek). pdf
Preparation for BMO 2025 - Training tests (in Greek). Test 1: pdf, Test 2: pdf, Test 3: pdf
Preparation for BMO 2025 - Problem collections (in Greek). Collection 1: pdf, Collection 2: pdf
Preparation for BMO 2025 - Supplementary problems (in Greek). pdf