|Project Name||Long games and determinacy|
|Field of research||Mathematical Logic|
|Keywords||Mathematics | Logic | Set | Theory | Inner | Models | Large | Cardinals | Infinite | Games|
I became fascinated with inner model theory at the beginning of my time as a doctoral student. The fact that the independence phenomenon occurs for easily definable notions, such as determinacy axioms, inspired me to learn all I could about it. This is how I started working on the connections between large cardinals and determinacy, and even to this day, the hope of bringing new facts to light concerning this mysterious and intriguing connection is a primary motivating factor in my research. With the support of my L’Oréal Austria Fellowship and my Austrian Science Fund (FWF) Elise Richter Fellowship I was recently able to achieve a breakthrough in this area: I proved Sargsyan’s Conjecture on the large cardinal strength of determinacy when all sets are universally Baire.