Assistant Professor at IMPAN
E-mail: pachinger@impan.pl
Office 606
Instytut Matematyczny PAN
ul. Śniadeckich 8
00-656 Warszawa
Poland
I work in algebraic geometry, sometimes with a view on arithmetic geometry. I am especially interested in the topology and homotopy theory of algebraic varieties. Some of my more specific research interests are:
I got my PhD in Mathematics in 2015 from University of California, Berkeley under the guidance of Arthur Ogus. The first three years of my PhD were supported by an International Fulbright Science and Technology Fellowship. I spent the first two years after my PhD (2015-2017) as an EPDI postdoc at the Banach Center at IM PAN in Warsaw and at the IHES in Bures-sur-Yvette.
My thesis K(pi, 1) Spaces in Algebraic Geometry.
[CV]
Introductory course on rigid geometry at IM PAN and MIM UW. The course starts Oct 15. Taught via Zoom.
See course webpage.
We are planning to hire two PhD students to join our research group for four years. The deadline for applications is Jun 15, 2020.
See project webpage.
We are planning to hire a postdoc to join our research group for two years. The deadline for applications is Apr 10, 2020.
See project webpage.
The seminar is aimed at undergraduate and graduate students and postdocs interested in algebraic and arithmetic geometry. Every Thursday 2:15-3:45pm in room 1780 at MIMUW.
See seminar webpage.
The seminar is aimed at undergraduate and graduate students and postdocs interested in algebraic and arithmetic geometry. Every Thursday 2:15-3:45pm in room 1780 at MIMUW.
See seminar webpage.
A conference organized by Hélène Esnault, Javier Fresán, and myself.
See conference webpage.
See project webpage.
Together with Jarek Buczyński, Nathan Ilten, and Masha Vlasenko, we are organizing a topics semester on algebraic and arithmetic geometry titled Varieties: Arithmetic and Transformations. The activity is part of the Simons Semesters program at IMPAN.
More info on the event's website: Varieties: Arithmetic and TransformationsTogether with Adrian Langer and Masha Vlasenko, we are organizing a school on the arithmetic of differential equations in Łukęcin at the Baltic shore close to the German border. The school belongs to the cycle of September Algebraic Geometry Schools organized since 1973. This year's school is part of the Simons semester Varieties: Arithmetic and Transformations at IMPAN.
There will be lecture courses by Kiran Kedlaya and Fernando Rodriguez-Villegas.
More info on the event's website: Arithmetic of Differential EquationsSee project webpage.
One of the main goals of this seminar is to understand what $E_\infty$-algebras are and how one can do commutative algebra with them. We are mostly following Lurie's book Higher Algebra. The seminar is organized by Agnieszka Bodzenta, Bruno Stonek, and myself.
The group meets on Thursdays at 2:15-4pm in room 5050 at MIMUW.
I am one of the organizers of this school, which is part of the semester program Varieties: Arithmetic and Transformations. See more under News.
This is part one of the former preprint "Liftability of the Frobenius morphism and images of toric varieties" [arXiv], split off during the review process.
Resources: [video of my talk at BIRS in Oaxaca] [notes from that talk] [A photo]
This is part two of the former preprint "Liftability of the Frobenius morphism and images of toric varieties" [arXiv], split off during the review process.
The new version (v2) is a merger of the previous version Piotr Achinger A refinement of the Deligne–Illusie theorem with earlier unpublished results of Junecue Suh. The new Appendix A contains new results concerning $F$-split $(p+1)$-folds.