Welcome to my website! Since September 2024, I am a postdoc in the Chair of Arithmetic Geometry in École Polytechnique Fédérale de Lausanne.
Until July 2024, I was a PhD student in Hausel Group in Institute of Science and Technology Austria.
Before that, I finished my Bachelor’s and Master’s in Mathematics at University of Warsaw, with Andrzej Weber as supervisor.
You can contact me under kamil{dot}rychlewicz{at}epfl{dot}ch.
I am interested in various aspects of algebraic geometry, algebraic topology and representation theory. This includes, but is not limited to topological invariants of algebraic varieties with group actions, generalized and equivariant cohomology theories, characteristic classes of singular spaces, toric varieties, geometry of flag, Schubert and quiver varieties.
You can find my research papers
below.
News
25 X 2024
The registration is open for the conference Torus Actions and Characteristic Classes in Będlewo, 1 – 7 June 2025. Renowned Speakers will talk about the newest developments in the area, from the point of view of algebraic geometry and topology. We have limited funding for accommodation for young participants, and a few slots for short talks by young speakers.
The deadline for registration with funding is 31 Jan 25, the general deadline for registration is 28 Feb 25.
K. Rychlewicz, Equivariant cohomology and rings of functions (PhD Thesis), June 2024.
T. Hausel and K. Rychlewicz, Spectrum of equivariant cohomology as a fixed point scheme, arXiv: 2212.11836, accepted.
K. Rychlewicz, The positivity of local equivariant Hirzebruch class for toric varieties, in Bull. London Math. Soc., 53 (2021), 560–574. Preprint.
K. Rychlewicz, A bound on degrees of primitive elements of toric graph ideals, in Multigraded Algebra and Applications, Springer Proceedings in Mathematics & Statistics, 2018. Preprint.
Other publications
K. Rychlewicz Wierzchołki, krawędzie, ściany i dalej (in Polish), Delta, 05.2020.
K. Rychlewicz and M. Skałba Najłatwiejsze zadanie? (in Polish), Delta, 05.2016.
Co-editor (with Szymon Kanonowicz) of the brochure Matematyka elementarna: twierdzenia i zadania w uczniowskim wykonaniu (in Polish), 2025.
Conferences and talks
Conference Torus Actions and Characteristic Classes, Będlewo conference center, Poland, 1 – 7 June 2025, co-organizer.
Workshop Modern Methods in Moduli, University of Luxembourg, 26 – 28 November 2024, speaker.
Summer School Interactions between Algebra, Equivariance, and Homotopy Theory, University of Regensburg, 24 – 28 June 2024, speaker.
Groups, Arithmetic & Algebraic Geometry Seminar, EPFL, Lausanne, Switzerland, 18 April 2024, speaker.
Workshop Singularity theory and hyperbolicity, University of Cambridge, UK, 18 – 22 March 2024, participant.
School Equivariant methods in geometry, University of Cambridge, UK, 8 – 12 January 2024, participant.
IMPANGA, Algebraic Geometry seminar of Institute of Mathematics of Polish Academy of Sciences, Warsaw, Poland, 15 December 2023, speaker.
Algebra and Geometry Seminar, Hong Kong University of Science and Technology, 6 November 2023, speaker.
Conference on Characteristic Classes and Singular Spaces, Kiel University, Germany, 18 – 22 September 2023, speaker.
Workshop Hodge and K-Theory meet Combinatorics, EPFL, Lausanne, Switzerland, 4 – 8 September 2023, speaker.
Workshop The Hitchin system, Langlands duality and mirror symmetry, ICMAT, Madrid, Spain 24 – 29 April 2023, participant.
Summer School Local Cohomology and related topics, KTH, Stockholm, Sweden, 1 – 5 August 2022, participant.
Summer School Representation theory and flag or quiver varieties, Université Paris Cité, Paris, France, 13 – 17 June 2022, participant.
Spring School Invariants in Algebraic Geometry, Institut de Mathématiques de Bourgogne, Dijon, France, 16 – 20 May 2022, participant.
40th Autumn School in Algebraic Geometry Binomial Ideals, Łukęcin, Poland, 3 – 9 September 2017, participant.
EMS Summer School on Multigraded Algebra and Applications, Moieciu de Sus, Romania, 17 – 24 August 2016, participant.
Other activities
Since 2014, I have been a member of the Main Committee and the Problem Selection Committee of
Polish Juniors' Mathematical Olympiad. From time to time, I take part in some activities around
Polish Mathematical Olympiad. I co-organized a few editions of
Náboj mathematical competition and
Náboj Junior in Warsaw and Łódź. I organized the online version of Czech-Austrian-Polish-Slovak Mathematical Competition in 2020, and together with my colleagues, I co-organized the competition in ISTA in years 2022-2024.
Address
EPFL FSB MATH ARG
Bat. MA, Station 8
1015 Lausanne
Switzerland
You can find me in the office MA B3 494, on the third floor of the Mathematics building.
