“Knots, homologies and physics” is a research program organized within the “Simons semester” series from March 1 until June 30, 2024. It is devoted to the analysis of the relations between knot theory and physics. The program is hosted at the Institute of Mathematics, Polish Academy of Sciences, and co-organized by the Faculty of Mathematics, Informatics and Mechanics, and Faculty of Physics, University of Warsaw. The program includes two workshops, an advanced school, and other lecture series and seminars by renowned mathematicians and physicists. These activities – unless stated otherwise – will be held at the Institute of Mathematics, Polish Academy of Sciences.