Writings
Some notes I've made while studiyng:
Gauge Theories: An introduction to mathematical gauge theory I wrote on the first term of 2020, it goes from the definition of a Lie Group to the Yang-Mills Equation.
Interpreting the Measurement Axiom: A short text detailing the intuition behind the Measurement Axiom from Quantum Mechanics.
Comparing Models for (∞,1)-categories : This is my master's thesis. It is a text about two ways of defining what a (∞,1)-category should be and how these two ways of defining them relate to one another via a Quillen adjunction.
Current Studies and Interests
I'm interested in Homotopy Theory and the theory of (∞,n)-categories. That includes simplicial sets, simplicial categories, enriched categories, etc. I'm also interested in the different models used to formalize homotopy theories.
Other than that, I'm very interested in mathematical physics, more specifically the mathematical aspects of Classical Mechanics, Quantum Theory and Quantum Field Theory. I'm mostly drawn to how we can precisely formulate physical ideas, since I find my purely physical intuition very lacking.