Emilio Minichiello

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Location: New York City

Hello!

My name is Emilio Minichiello (he/him), I am a mathematician based in New York City. I like to apply abstract methods like category theory and homotopy theory to down-to-earth subjects in mathematics such as graph theory, combinatorics and database theory.

I am an Assistant Professor in the Mathematics department at CUNY CityTech.

Before working at CityTech, I was a pure mathematics PhD student at the CUNY Graduate Center, studying the intersection of category theory and differential geometry. My PhD thesis was Higher Diffeology Theory, applying homotopical and categorical methods to diffeological spaces. My advisor was Mahmoud Zeinalian. During the last year of my PhD I also worked part-time at Conexus AI studying Categorical Database Theory.

The best way to reach me is by email.

latest posts

news

Aug 12, 2025 Posted new preprint to the arxiv – Thomason-Type Model Structures on Simplicial Complexes and Graphs.
May 21, 2025 I gave several talks this semester, including three lectures on my notes “Coverages and Grothendieck Toposes.” Check out the Talks page above.
Apr 18, 2025 I’ve been awarded a 1-year PSC CUNY Grant “Hypersheaves in Differential Geometry.”
Apr 7, 2025 Posted new preprint to the arxiv – Structured Decompositions: Structural and Algorithmic Compositionality , joint work with Ben Bumpus, Zoltan Kocsis and Jade Master.
Mar 27, 2025 Posted new preprint to the arXiv - Coverages and Grothendieck Toposes. It is a set of notes about Grothendieck topos theory using coverages.