The paper proposes a new method, called the Fast Quadratic Transform (FQT), to solve the general indefinite two-variable quadratic equation in integers. The paper presents the new approach, discusses its properties, and ...

In this thesis, results from numerical simulations and experiments on drops squeezing through constricted capillaries are presented. The purpose is to understand how the capillary number changes how drops are deformed as ...

I discuss the strong link between the transmission line (TL) equation and the TL circuit model for the charging of an electrolyte-filled pore of finite length. In particular, I show how Robin and Neumann boundary conditions ...

I denne oppgaven skal vi studere traseringen til endelig-dimensjonale representasjoner av den ikke-kommutative k-algebraen k<x,y>, generert av to elementer. Vi skal se på traser til elementer i ringen generert av to generiske ...

An Elsevier Open Archive article. NOTICE: this is the author’s version of a work that was accepted for publication in Linear Algebra and its Applications. Changes resulting from the publishing process, such as peer ...

We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show ...

Since the early 2000s, tropical geometry has emerged as a field connecting combinatorics and algebraic geometry in novel ways. Matroids are combinatorial structures which capture and generalize multiple notions, such as ...

Certain polyhedral fans can be constructed from matroids, and these serve as the local model of tropical manifolds. Such matroidal fans satisfy a tropical version of Poincaré duality [JRS17]. In this thesis, we give ...