The group conducts research in algebraic geometry, complex analysis and geometry, mathematical models and differential equations, and differential geometry and mathematical physics.

## What are we researching?

Facts about our research.

Algebraic geometry is a part of mathematics that is classically devoted to the study of the solution sets of polynomial equations in several variables, so-called algebraic varieties.

Complex analysis focuses on the study of calculus involving complex numbers, with applications in complex geometry and harmonic analysis.

Differential equations are important within mathematical models that are used to gain insight into mechanisms within transport and reaction processes.

Mathematical physics can be interpreted as the application of rigorous mathematical methods to problems in physics, in areas such as cosmology, relativity, geometry, quantum mechanics, supersymmetry and string theory.

## Geometry

In the period 2024-2030, the research group hosts the project "Fano manifolds, wall structures and torus fibrations".

The group has received NOK 12 million by the Research Council of Norway to investigate and classify the mathematical concept of Fano manifolds.

From 2014-2018 the group hosted the project "Knipper på abelian varieties", also this funded by the Research Council and the University of Stavanger.

The group also has an ongoing ISP project called "Geometry" (2022-2024), with the following activities:

- Visit from Carles Bivia-Ausina from Valenica, 22.-27. April, 2024
- Nordic Strings meeting, December 2023
- Conference Algebraic Geometry in the Daylight, August 2023
- «Talent-in-residence»: Sabrina Pauli (Düsseldorf), August 2023
- International conference: "String geometry in Stavanger" 10-12/8 2022, https://indico.uis.no/event/20/
- Talent-in-residence, November 2022: Ida Zadeh (Mainz)
- National mini-workshop: "Stavanger Geometry Christmas meeting" 20/12 2022, https://indico.uis.no/event/27/
- Weekly seminar activity: A joint project in homologous mirror symmetry

## Guest lectures

These researchers have given lectures for us.

- Markus Upmeier (University of Aberdeen), 24th November 2022: Calibrated geometry, gauge theory, and categorifications of Atiyah-Singer index theory
- Sebastien Picard (University of British Columbia), 5th January 2023: Non-Kahler Transitions of Calabi-Yau Threefolds
- Alessio Corti (Imperial College London), 23rd February 2023: Cluster algebras and toric degenerations of Fano varieties
- Knut Bjarte Haus (previously NTNU), 16th May 2023: Geometric Hodge filtered complex cobordism
- Fabian Ruhle (Northeastern), 26th May 2023: Laplacian eigenmodes, level crossing, and attractors
- Charles Strickland-Constable (University of Hertfordshire), June 2023
- Sabrina Pauli (University of Düsseldorf August 2023): A new way to count algebraic plane curves over arbitrary fields
- Michel van Garrel (University of Birmingham), 8th February 2024: LSD in GEMS
- Sabrina Pauli (University of Düsseldorf April 2024): Applications of Grothendieck-Witt rings to enumerative geometry

## Algebraic geometry

Department of Mathematics and Physics

Department of Mathematics and Physics

Department of Mathematics and Physics

## Differential equations

Department of Energy and Petroleum Engineering

## Complex geometry and analysis

Department of Mathematics and Physics

Department of Mathematics and Physics

Department of Mathematics and Physics

## Differential geometry and mathematical physics

Department of Mathematics and Physics

Department of Mathematics and Physics

Department of Mathematics and Physics