Supervision

Current team

Master students

2023–2025: Eivind Xu Djurhuus
2023–2025: Martin Löcsei
2024–2025: Mikkel Elkjær Kårstein

PhD candidates

since 2020: Therese Strand
since 2022: Trygve Poppe Oldervoll
since 2022: Fredrik Bakke (as co-supervisor)
since 2023: Tallak Manum (as co-supervisor)

Finished projects

Mentoring of postdoctoral researchers

2018–2021: Dr. Glen Matthew Wilson
Dr. Wilson is now a Senior Lecturer at Arctic University in Tromsø.

PhD supervision

2020–2024: Eiolf Kaspersen
Thesis: On the Thom morphism for Lie groups
After the PhD, Dr. Kaspersen started a position as a lecturer at OsloMet.
2020–2024: William Hornslien (as co-supervisor)
Thesis: Topics in Motivic and Toric Homotopy Theory
After the PhD, Dr. Hornslien started a postdoc in Grenoble, France.
2020–2024: Erlend Bergtun (as co-supervisor)
Thesis: Algebraic Methods in Analysis and Topology
After the PhD, Dr. Bergtun started to work at Kongsberg Defence & Aerospace.
2020–2024: Louis Martini (as co-supervisor)
Thesis: Internal higher category theory
After the PhD, Dr. Martini started to work at Lifeware in Zurich.
2020–2022: Peter Marius Flydal
After writing a first research paper, Peter decided in 2022 to seek a new challenge.
He ended his PhD-position and became a researcher at a cybersecurity company.
2018–2022: Knut Bjarte Haus
Thesis: Geometric Hodge filtered complex cobordism
After the PhD, Dr. Haus started a job in an artificial intelligence start-up.
2016–2020: Håvard Bakke Bjerkevik
Thesis: Stability and Complexity in Multi-Parameter Persistence
After the PhD, Dr. Bjerkevik has held various research positions
and is now an assistant professor at NYU Albany.
2015–2020: Erik Rybakken (as co-supervisor)
Thesis: Topological Data Analysis with Applications to Neuroscience
After the PhD, Dr. Rybakken started a job as a data analyst.

Master theses

2021–2023: Elias Klakken Angelsen
Thesis: On differential cohomology and geometric Hodge-filtered K-theory
Elias was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a PhD-candidate at UiO.
2020–2022: Trygve Poppe Oldervoll
Thesis: Concerning some aspects of twisted generating functions
Trygve’s Master project was awarded funding by the project Pure Math in Norway for a two months visit at MIT with mentor Prof. Alvarez-Gavela. Trygve was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a PhD-candidate at NTNU.
2019–2021: Torgeir Aambø
Thesis: On formal DG-algebras
Torgeir is now a PhD-candidate at NTNU.
2019–2021: Anders Alexander Andersen
Thesis: Simplicial sheaves and classification problems
Anders is now a data scientist in Copenhagen.
2018–2020: Therese Strand (co-supervision with Glen Matthew Wilson)
Thesis: Representativity results in motivic degree theory
Therese is now a PhD-candidate at NTNU.
2018–2020: Eiolf Kaspersen
Thesis: Obstructions to the surjectivity of the Thom homomorphism
Eiolf is now a PhD-candidate at NTNU.
2018–2020: Viktor Balch Barth (co-supervision with Glen Matthew Wilson)
Thesis: Naive motivic homotopy classes of endomorphisms of the projective line
His Master thesis was supported by an Abel stipend.
Viktor is now a PhD-candidate at the University in Oslo.
2018–2020: William Hornslien (co-supervision with Glen Matthew Wilson)
Thesis: Computing motivic homotopy classes on the projective line by algebro- geometric methods
William is now a PhD-candidate at NTNU.
2019–2020: Eirik Hjelvik
Thesis: A detailed account of Behrens’ proof of Bott periodicity
2019–2020: Erlend Bergtun
Thesis: New cohomology groups for \(G_2\)-manifolds
He was awarded the Stubban Prize for the best Master student in Mathematics at NTNU.
Erlend is now a PhD-candidate at NTNU.
2018–2019: Jarl Gunnar Taxerås Flaten
Thesis: Fibrations of Categories
After his Masters Jarl got a PhD at the University of Western Ontario, London, CA, and is now a researcher at SINTEF.
2018–2019: Peter Marius Flydal
Thesis: A classifying space for principal G-bundles in the category of simplicial presheaves
After finishing his thesis, Peter passed the Part III of Mathematical Tripos at University of Cambridge.
Peter was awarded the Stubban Prize for the best Master student in Mathematics at NTNU.
He is now a researcher at mnemonic in Oslo.
2016–2018: Eivind Otto Hjelle
Thesis: The slice spectral sequence for \(KR\)-theory
His Master thesis was supported by an Abel stipend. Eivind was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. Eivind is now a PhD-candidate at Northwestern University.
2016–2017: Knut Bjarte Haus
Thesis: Differentiable Strutures on Spheres and the Kervaire Invariant
Knut continued as a PhD-candidate at NTNU.
2015–2016: Håvard Bakke Bjerkevik
Thesis: Stability of Persistence Modules
After his Master Håvard became a PhD-candidate at NTNU.
2015–2016: Magdalena Mayerhoffer
Thesis: Optimised point counting on elliptic curves over finite fields
After finishing her thesis, Magdalena worked for a brief period at an insurance company in Münster, Germany, before biking around the world and now runs a Youtube-channel on mathematics.
2015: Marte Lovise Nilsen (co-supervision with Richard Williamson)
Thesis: 2-Braids and a categorification of the Kauffman bracket polynomial
2014–2015: Saskia Stahl
Thesis: The local-global principle in arithmetic geometry
Saskia is now a System Architect working in Oslo.

StudForsk projects

2020: Anders Alexander Andersen
Project: Algebraic cell decompositions via torus actions

Bachelor theses

2022–2023: Eivind Xu Djurhuus
Thesis: Local Class Field Theory via Lubin- Tate formal groups
2022–2023: Martin Löcsei
Thesis: Abstract Homotopy Theory of Smooth Manifolds
2018–2019: Torgeir Aambø
Thesis: Naive homotopy theory for schemes
2018–2019: Sigurd Gaukstad
Thesis: Bott Periodicity and its applications to \(K\)-theory
2018–2019: Anders Alexander Andersen
Thesis: Cobordism Theory - An Introduction to Topological Pants
2010–2014: I have in addition supervised 9 Bachelor theses on various topics at the University of Münster, Germany.