Christian Dahlhausen


	Mathematisches Institut Universität Heidelberg	Deutsch English Français Italiano

Christian Dahlhausen
Mathematisches Institut
Im Neuenheimer Feld 205
69120 Heidelberg
Germany

email: c {no space} surname }at{ mathi.uni-heidelberg.de (PGP key)
phone: +49 6221 54 14216
office: 03.324
office hour: by appointment

About me

I am a postdoc in the working group of Alexander Schmidt at the Mathematical Institute at the Faculty of Mathematics and Computer Science at the University of Heidelberg. Furthermore, I am a member of CRC326 - GAUS: "Geometry and Arithmetic of Uniformizing Structures". My research areas are K-theory and Nonarchimdedean Geometry.

During the academic year 2019/20 I was a postdoc in the working group of Andrew Kresch at the Institute of Mathematics at the University of Zurich and financed by the Swiss National Science Foundation. Until September 2019 I was a PhD student at the Faculty of Mathematics at the University of Regensburg. My PhD thesis is about continuous K-theory and its relation to the cohomology of rigid spaces. My advisors were Moritz Kerz and Georg Tamme. I was a member of the DFG GRK 1692 “Curvature, Cycles, and Cohomology” and I was partially supported by the DFG SFB 1085 “Higher Invariants”.

I wrote my master's thesis “Milnor K-theory of integers of p-adic local fields” and my bachelor's thesis “Serres Problem und der Satz von Quillen-Suslin” (Serre's problem and the Quillen-Suslin theorem) both with Moritz Kerz.

Publications and Preprints

K-Theory of admissible Zariski-Riemann spaces, to appear in Annals of K-Theory. (Link to Journal) (arXiv:2101.04131)
Continuous K-Theory and Cohomology of Rigid Spaces, to appear in Manuscripta Mathematica, (Link to Journal) (arXiv:1910.10437).
On continuous K-theory and cohomology of rigid spaces, PhD thesis, University of Regensburg (2019). (Link)
Milnor K-theory of complete discrete valuation rings with finite residue fields, J. Pure Appl. Algebra 222 (2018), no. 6, 1355–1371. (Link to Journal) (arXiv:1509.01087)

Organised Events

09/2023: Fall School "Algebraic K-Theory and Redshift" (together with Lorenzo Mantovani and Georg Tamme)
02/2023: GAUS-workshop "Condensed Mathematics and K-Theory" (together with Georg Tamme)

Talks, Posters etc.

12/2020: Invited talk on K-theory of admissible Zariski-Riemann spaces at the University Freiburg.
06/2020: Invited talk on Continuous K-theory and K-theory of Zariski-Riemann spaces at the online conference Motives and What Not.
01/2020: Invited talk on Continuous K-theory and K-theory of Zariski-Riemann spaces at the University of Duisburg-Essen.
05/2019: Invited talk on Continuous K-theory and cohomology of rigid spaces at the University of Heidelberg.
05/2019: Invited talk on Continuous K-theory and cohomology of rigid spaces at the University Freiburg.
07/2018: Poster for the conference Berkovich spaces 30 years in Paris (pdf).
06/2018: Poster for the Homotopy Theory Summer in Berlin (pdf).
02/2018: Talk on Continuous K-theory and cohomology of analytic spaces at the conference K-theory, A1-homotopy and quadratic forms in Warwick.
05/2017-06/2017: Participant at the Hausdorff Trimester Program on K-theory and Related Fields in Bonn.
05/2017: Talk on Improved Milnor K-theory of valuation rings of local fields in Bonn (video).

Teaching (at University of Heidelberg)

WS 2022/23: Seminar on K-theory of the integers and the Kummer-Vandiver Conjecture (together with Alexander Schmidt).
WS 2022/23: Exercise sheets and example class for the course Algebraic Geometry 1 by Denis Vogel.
SS 2022: Exercise sheets and example class for the course Algebraic Number Theory 2 by Katharina Hübner.
SS 2022: Exercise sheets for the course Algebra 2 by Denis Vogel.
WS 2021/22: Seminar on Valuation Theory (together with Katharina Hübner).
SS 2021: Exercise sheets and example class for the course Algebra 2 by Alexander Schmidt.
WS 2020/21: Exercise sheets and example class for the course Algebraic Number Theory 2 by Denis Vogel.
WS 2020/21: Proseminar on p-adic numbers (together with Marius Leonhardt).

Teaching (at University of Zurich)

FS 2020: Course on Algebra and Topology (together with Lorenzo Mantovani).
HS 2019/20: Seminar on Categories, Sheaves, and Locales.
HS 2019/20: Seminar on Prismatic Cohomology (together with Lorenzo Mantovani).

Teaching (at University of Regensburg)

SS 2019: Assistance and exercise class for the course Perfectoid Spaces by Georg Tamme.
SS 2019: Higher Invariants Oberseminar on Resolution of Singularities in characteristic zero (together with Federico Binda and Johann Haas).
WS 2018-19: Seminar on Homotopical Methods (together with Denis-Charles Cisinski).
SS 2018: Seminar on Derived Categories and Sheaf Cohomology (together with Denis-Charles Cisinski).
WS 2014/15: Exercise class for the course Algebra by Patrick Forré.
SS 2014: Exercise class for the course Commutative Algebra by Uwe Jannsen.
WS 2013/14: Exercise class for the course Algebra by Guido Kings.
WS 2012/13: Exercise class for the course Linear Algebra I by Guido Kings.
SS 2012: Exercise corrector for the course “Einführung in die moderne Logik” (Introduction to modern logic) by Tim Kraft.
WS 2011/12: Exercise class for the course Linear Algebra II by Uwe Jannsen.
SS 2011: Exercise class for the course Linear Algebra I by Uwe Jannsen.

since 10/2020: Postdoc at University of Heidelberg.
10/2019-09/2020: Postdoc at University of Zurich.
07/2019: PhD (Dr. rer. nat) in Mathematics at University of Regensburg.
03/2015: Master of Science in Mathematics at University of Regensburg.
03/2013: Bachelor of Science in Mathematics at University of Regensburg.
06/2009: Final secondary exam at Staatliches Landschulheim Marquartstein.

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