E-mail: filip.rupniewski[at]impan[dot]edu[dot]pl
Personal website: filip-rupniewski.github.io
Linkedin profile: Filip Rupniewski
Homepage of Filip Rupniewski [Under Construction]
About me
I am a mathematician specializing in algebraic geometry. I completed a postdoctoral research position at the Institute of Mathematics, University of Bern (UniBe), where I was part of the Applied Algebraic Geometry Group led by Prof. Dr. Jan Draisma . Prior to that, I earned my PhD at the Institute of Mathematics of the Polish Academy of Sciences (IMPAN) and my master's degree at the Faculty of Mathematics, Computer Science, and Mechanics of the University of Warsaw (MIMUW), both under the supervision of Prof. Dr. Jarosław Buczyński . Although I am currently not holding a formal position at these institutions, I maintain collaborations with them.
My research is focused on tensors, their geometry and properties, with applications to complexity theory. In particular:
- tensor ranks (rank, border rank, asymptotic rank, etc.)
- Veronese, Segre and Segre-Veronese varieties
- Secant varieties
- Polynomial functors
Publications
For a complete list see here.
Teaching
Fall semester 2024/2024:
- Varieties and algebraic groups
- Mathematics für Naturwissenschaften
Spring semester 2023/2024:
- Seminar: Algebraic Statistics
- Mathematics für Naturwissenschaften
Fall semester 2022/2023:
- Linear Algebra 1
- Mathematics für Naturwissenschaften
Spring semester 2022/2023:
- Seminar: algebra and expander graphs
- Galois Theory
List of courses taught before:
Calculus, Discrete Mathematics, Mathematical Analysis, Linear Algebra
Selected attended conferences
- Poster presentation at Texas Algebraic Geometry Symposium, College Station, USA, 5-7 April, 2024.
- Invited talk at SIAM Conference on Applied Algebraic Geometry (AG23), Eindhoven, Netherlands, 10-14 June, 2023.
- Invited talk at Secant v. Cactus - workshop, Toulouse (France), 9-12 May, 2023.
- Participation at International Conference on Elliptic and Parabolic Problems Turin, Italy, 22-24 May, 2023.
- Invited talk at , "SIAM Conference on Applied Algebraic Geometry (AG23)" , Minisymposium in "Spectral analysis and homogenization of PDEs", Eindhoven (Netherlands), 10-14 July, 2023
Former and current collaborators
- Current research team: dr. Maciej Gałązka, dr. Tomasz Mańdziuk
- Collaborators: Prof. Dr. Jan Draisma, dr. Andreas Blatter, Benjamin Biaggi, prof. dr. Jarosław Buczyński, dr. Chia-Yu Chang, prof. Elisa Postinghel, dr. Maciej Gałązka, dr. Tomasz Mańdziuk
Miscellaneous - mainly computer programs or scripts:
- Python program that helps you learn vocabulary: link here.
- Python script that allows you to print a PDF file as a booklet on Linux: link here.
- Bunch of graphs and tables related to the used car market in Poland and Switzerland (2024): link here.
- my other website with: daily updated charts on the spread of the epidemic of COVID-19 in Poland caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The last update was in 2022.