• Representability of the local motivic Brouwer degree 

      Quick, Gereon; Strand, Therese; Wilson, Glen Matthew (Peer reviewed; Journal article, 2022)
      We study which quadratic forms are representable as the local degree of a map f : An → An with an isolated zero at 0, following the work of Kass and Wickelgren who established the connection to the quadratic form of Eisenbud, ...
    • Representativity Results in Motivic Degree Theory 

      Strand, Therese (Master thesis, 2020)
      Denne masteroppgaven studerer en metode beskrevet av Kass og Wickelgren som tar et polynom med et isolert nullpunkt i origo og produserer et element i Grothendieck-Witt-ringen. Vi studerer først litt teori om bilineære ...
    • Simplicial Sheaves and Classification Problems 

      Andersen, Anders Alexander (Master thesis, 2021)
      Denne avhandlingen forsøker å utforske og å videreføre ideene fra [FH13]. For å oppnå dette, tar vi først for oss noen av forkunnskapene som trengs, inkludert tensorer, bunter, koblinger, og Chern-Weil-homomorfien. Etter ...
    • The slice spectral sequence for KR-theory 

      Hjelle, Eivind Otto (Master thesis, 2018)
      The slice filtration for equivariant spectra, and the accompanying slice spectral sequence, was developed by Hill, Hopkins, and Ravenel in their celebrated solution of the Kervaire invariant one problem. Using Hill, Hopkins, ...
    • Stability and Complexity in Multi-Parameter Persistence 

      Bjerkevik, Håvard Bakke (Doctoral theses at NTNU;2020:185, Doctoral thesis, 2020)
    • Topological Data Analysis with Applications to Neuroscience 

      Rybakken, Erik (Doctoral theses at NTNU;2020:20, Doctoral thesis, 2020)
    • Unstable splittings in Hodge filtered Brown-Peterson cohomology 

      Quick, Gereon (Journal article, 2018)
      We construct Hodge filtered function spaces associated to infinite loop spaces. For Brown–Peterson cohomology, we show that the corresponding Hodge filtered spaces satisfy an analog of Wilson’s unstable splitting. As a ...