Welcome ! You are on homepage of Konstantinos Charalampous, an aspiring mathematician

I aspire to pursue a research career in Mathematics and Mathematical Sciences. I am freshman at University of Chicago, with full scholarship, for my undergraduate in Mathematics, class of 2027. I was also offered admission at Imperial College London, University of Toronto, University of Saint Andrews, Scotland to study Mathematics, class of 2027. I have been preparing for mathematical olynpiad since my early childhood. However, in June 2020, I started my advanced rigorous mathematical education under mentorship of Yaashaa P. Golovanov at his fundamental, yet advanced, and rigorous mathematical program - Arnold-Marsden Mathematical Olympiad Circle (AMMOC). I represented my country, Cyprus,  three consecutive times at IMO (2020 - 2022) and eventually won on Honourable Mention in most prestigious Olympiad -  International Mathematical Olympiad (IMO, 2022). 

With my mentor Yaashaa P. Golovanov, I have been doing studies as described below -  

• Algebra - Basic definitions, examples and theorems of Group, Rings, Fields. Application of these to  Study of polynomials over ring of integers, cyclotomic fields, algebraic inequalities, geometry of complex numbers. 

• Classical Plane Euclidean Geometry 

• Combinatorics - Counting Principles, Pigeonhole Principle, Ramsey Theorem, Generating Function, Graph Theory and application to problems solving from various mathematical competitions. 

• Proof theoretic introduction to Calculus and Analysis.

• fairly more advanced mathematics like Abstract Algebra, Calculus in Normed Linear Spaces, Topology, Classical Analysis and PDE at undergraduate level.