Courses & masterclasses

Positive Geometry and Scattering Amplitudes

With Lara Bossinger, Marcus Spradlin, Anastasia Volovich and Simon Telen

This summer school introduced positive geometry through lecture series and problem sessions on positive Grassmannians, cluster algebras, scattering amplitudes and canonical forms.

It was organised by Gunnar Fløystad, Kristian Ranestad and Helge Ruddat, with Mathesis among the sponsors alongside the universities of Oslo and Stavanger and UiT. The programme welcomed doctoral students, advanced master’s students and early postdoctoral researchers with a background in algebra.

Sophus Lie Conference Centre, Nordfjordeid

TiME 2025: Invariant Theory from classics to modern developments

With Giorgio Ottaviani, Harm Derksen, Kristin DeVleming and Michael Walter

Four mini-courses traced invariant theory from its classical origins to computational methods, algebraic geometry and applications. The teaching covered classical, computational and geometric invariant theory, together with applications.

The Lie–Størmer Center summer school was organised by Kathlén Kohn, Alessandro Oneto, Pierpaola Santarsiero and Ettore Teixeira Turatti.

Lie-Størmer Center, UiT Tromsø

Combinatorial Hopf algebras and modern Lie theory with applications

With Claudia Malvenuto, Frédéric Patras and Christophe Reutenauer

An LSC summer school for advanced master’s and doctoral students, connecting combinatorial Hopf algebras, free Lie algebras and their applications. The three lecture series introduced the subject without requiring specialist knowledge.

The organising committee comprised Kurusch Ebrahimi-Fard, Gunnar Fløystad, Hans Munthe-Kaas, Frédéric Patras and Cordian Riener.

Sophus Lie Conference Centre, Nordfjordeid, Norway

Symmetries and computation

With Hans Munthe-Kaas and Cordian Riener

This LSC masterclass connected the representation theory of finite groups with computational Fourier analysis. Topics included the symmetric group, Fourier transforms and applications in numerical linear algebra.

Weekly online lectures were combined with two in-person meetings, at UiT and UiB, group projects and an oral examination. The published archive identifies the year, but does not give exact course dates.

Online, with meetings at UiT Tromsø and the University of Bergen

Geometric Combinatorics

With Cordian Riener, Fatemeh Mohammadi and Karin Baur

The 2022 LSC masterclass brought together geometric combinatorics with teaching by Cordian Riener, Fatemeh Mohammadi and Karin Baur. The center’s archive records the year and lecturers, without exact dates.

Representation Theory

With Cordian Riener

The 2021 LSC masterclass on representation theory was taught by Cordian Riener. It is listed in the center’s teaching archive; exact dates and a detailed programme are not recorded there.