Hugo Zock
Email: hugo.zock@uni-duesseldorf.de
Phone: +49 211 81-12173
Address: Universitätstraße 1, 40225 Düsseldorf
Office: 25.22.03.51
Since September 2024, I am a PhD student in the working group of Stefan Schröer at the university of Düsseldorf. My second advisor is Kay Rülling at the university of Wuppertal. I am funded by the Research Training Group GRK2240: Algebro-Geometric Methods in Algebra, Arithmetic and Topology. From 2022 to 2024 I was a student of the ALGANT master program, spending my first year at the university of Leiden, and my second year at the university of Regensburg. In Regensburg I wrote a thesis titled "A local Version of Kashiwara's Conjecture" under the supervision of Moritz Kerz (linked below).
I do algebraic geometry. Sometimes with an arithmetic flavour, sometimes involving a prime l, sometimes in characteristic p,...
My CV.
In preparation
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A geometric local system that cannot be approximated by arithmetic local systems (with Moritz Kerz)
Talks
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"The almost purity theorem", Oberseminar Algebraische Geometrie, University of Düsseldorf, June 2025. My notes for the talk
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"The Gauss-Manin connection", Forschungsseminar Algebra und Zahlentheorie, University of Wuppertal, May 2025. My notes for the talk
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"Bloch-Kato ordinary bielliptic surfaces", in Kay Rülling's crystalline cohomology course at the university of Wuppertal, January 2025. My notes for the lecture
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"Reductive groups over finite fields", GRK2240 Workshop on Deligne-Lusztig varieties, December 2024. My notes for the talk
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"The Fano Scheme of Lines", Oberseminar Algebraische Geometrie, University of Düsseldorf, October 2024. My notes for the talk
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"A local Version of Kashiwara's Conjecture", AG-Seminar of prof. M. Kerz, University of Regensburg, June 2024
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"Brauer-variëteiten met een rationaal punt", Leids Bachelorseminarium, University of Leiden, May 2022
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"Groepencohomologie en twists van algebra's", Leids Bachelorseminarium, University of Leiden, March 2022
Where I have been
Where I will be
Seminars
Teaching
Miscellaneous
- My master's thesis written under the supervision of Moritz Kerz at the university of Regensburg.
- This cute note grew out of my bachelor's thesis. It was written under the supervision of Ronald van Luijk at the university of Leiden.
Summary: I defined the notion of a “base extension”, an abstract framework to axiomatize the notion of Galois descent in various contexts. I subsequently retrieved the well known principle that twisted forms of a k-object X are parametrized by the Galois cohomology set H1(k, Aut(Xs)) for practically all types of objects.
- Notes for a talk I gave on flat families for the seminar course Cohomology of Sheaves and Schemes at the university of Regensburg.
- Notes for a talk I gave on topological groups for the seminar course Fourier Analysis and Representation Theory at the university of Regensburg.
- At some point I wrote an exercise about the Brauer-Hasse-Noether Theorem for function fields for a course involving Galois cohomology.
- Notes for a talk I gave on smoothness for the seminar course Topics in algebraic Geometry at the university of Leiden.
- Notes for a talk I gave on flatness for the seminar course Topics in algebraic Geometry at the university of Leiden.
- Als student in Leiden heb ik ooit een aardig artikeltje over de stelling van Minkowski geschreven voor het vak SPC.