Since November 2024, I am a postdoc in Leiden University in the research group of Henning Basold, where I am currently working on a project to develop homotopical and coalgebraic approachs to the study of optimization algorithms. An important part of this is developing a probabilistic approach to homotopy theory using techniques from categorical probability such as Markov categories and probability monads. I was previously a PhD student in the algebraic topology team at Université Sorbonne Paris Nord where my advisor was Grégory Ginot.