My name is Kamil Ryduchowski. I am a PhD student of mathematics at Warsaw Doctoral School of Mathematics and Computer Science, led jointly by Institute of Mathematics of the Polish Academy of Sciences (IMPAN) and Faculty of Mathematics, Informatics and Mechanics, University of Warsaw (MIM UW).  My interest lies in applications of set theory and analytic topology to abstract analysis, in particular to Banach spaces and C*-algebras. My supervisor is prof. Piotr Koszmider.

I'm interested in the impact of uncountable level combinatorial phenomena on some structures in abstract analysis. The aim of my research project is to use set-theoretic techniques, such as infinitary combinatorics and forcing, to obtain results concerning Banach spaces, Banach algebras or C*-algebras. It often requires an investigation of some intermediate topological structures. Exemplary topics:

• geometry of nonseparable Banach spaces induced by antiramsey colorings;

• C*-algebras induced by almost disjoint families;

• Banach spaces of continuous functions with unusual geometric properties.

• MSc in mathematics: Institute of Mathematics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw (2022). Master of Science thesis: Ramsey-type theorems and separated sets in Banach spaces. Supervisor: prof. Tomasz Kochanek.

• BSc in mathematics: Institute of Mathematics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw (2020). Bachelor of Science thesis: Antiramsey colorings of pairs with an application to Banach spaces. Supervisor: prof. Piotr Koszmider.