I work part-time as universitair docent (assistant professor) at Utrecht University, and part time at the Lean FRO. My main interests lie in arithmetic geometry and formalization of mathematics.
From 2018 till 2023 I was a postdoc in the group of Stefan Kebekus in Freiburg (DE). From 2017 till 2018 I was a postdoc of Carel Faber in Utrecht (NL). From 2013 till 2017 I was a PhD student in Nijmegen (NL), supervised by Ben Moonen.
Current research topics include: formalization of algebraic geometry, homological algebra, and condensed mathematics; categorical logic and applications of o-minimality to algebraic geometry/topology; in particular, applications of o-minimality to the theory of periods and motives. I am actively involved in the Lean community. In 2021-2022, I have lead the Liquid Tensor Experiment following up on a challenge by Peter Scholze.
If you want to learn more about Lean, here's a great place to find guides/resources/tutorials/chat/etc.
I greatly appreciate (anonymous) feedback on my lectures, talks, and other activities.
I am currently supervising 3 PhD students:
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j.m.commelin@uu.nl johan@lean-fro.org
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Room HFG4.17 Utrecht University Mathematisch Instituut Budapestlaan 6 3584CD Utrecht Nederland |
Course | Semester |
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Grondslagen van de Wiskunde | Period 2 - 24/25 |
Bewijzen in de Wiskunde | Period 1 - 24/25 |
Calculus and Linear Algebra | Semester 2 - 23/24 |
Bewijzen in de Wiskunde | Period 1 - 23/24 |
Assistent for Funktionentheorie | Summer 2021 |
Teaching: Coxeter Groups and Lie Algebras | Winter 20/21 |
Assistent for Introduction to Algebraic Curves | Summer 2020 |
Assistent for Mathematics for Natural Scientists II | Summer 2020 |
Assistent for Cohomology of Algebraic Varieties | Winter 19/20 |
Assistent for Mathematics for Natural Scientists I | Winter 19/20 |
Seminar Local Fields | Summer 2019 |
Linear Algebra 2 | Summer 2019 |
MacLane's Q'-construction and Breen–Deligne resolutions (draft). An unpublished note written as part of the Liquid Tensor Experiment.
My PhD thesis: On ℓ-adic compatibility for abelian motives & the Mumford–Tate conjecture for products of K3 surfaces [Erratum]. Completed in the summer of 2017 under the supervision of Ben Moonen.
I wrote my master's thesis, titled Algebraic cycles, Chow motives, and L-functions, in the spring of 2013 under the supervision of Robin de Jong.
I wrote my bachelor's thesis, titled Tannaka Duality for Finite Groups, in the spring of 2011 under the supervision of Lenny Taelman.