Stockholm Mathematics Centre Prizes for Excellent Doctoral Dissertations and Master Theses 2023/2024

Excellent Master Theses

Johan Ericsson

Large Deviations and Weak Convergence of Measures, with applications to Monte Carlo Estimators
Advisor: Yishao Zhou

Johan Ericsson is awarded the SMC prize for his excellent master thesis which brings together results scattered throughout the literature to present a comprehensive theory of large deviations for vanilla Monte Carlo and importance sampling estimators. This is done with a high degree of generality, detailing results in both the weak topology and the 𝜏-topology, but in a very accessible manner, providing an excellent introduction to the field.

Marve Grönblad Vesterinen

Dual Elements in Posets and their Connection to the Homological Algebra of Vector Space Representations
Advisor: Wojciech Chacholski

Marve Grönblad Vesterinen is awarded the SMC prize for his excellent master thesis in algebraic topology. He introduces a duality notion between points in a poset. This original notion enables a clean explanation of a recently published duality result for one specific poset and, more importantly, provides a vast generalization. The results of this thesis have the potential for a bigger impact within algebraic topology and demonstrate high mathematical maturity.

Nell Jacobsson

Clark measures of bivariate inner functions
Advisor: Alan Sola

Nell Jacobsson is awarded the SMC prize for his excellent master thesis in the field of complex analysis. The thesis addresses so-called Clark measures, which form a link between inner functions, singular measures and operator theory. While Clark theory in one complex variable is a classical notion, it is only recently that progress has been made in extending this theory to the multivariate setting. Jacobsson’s thesis, starting with an accessible introduction and an overview of recent research in the field, provides several generalizations of these results to the multivariate setting.

Anna Lindeberg

The Structure of Primitive Edge-Colored Graphs: A Galled Tree Perspective
Advisor: Marc Hellmuth

Anna Lindeberg is awarded the SMC prize for his excellent master thesis. The thesis addresses a problem at the interface between discrete mathematics and data science, motivated by applications in evolutionary biology. Using advanced methods in graph theory, Lindeberg shows how properties of edge-colored graphs can be represented by galled trees. The thesis is well-written and provides a thorough introduction to the subject.

Excellent Doctoral Dissertations

Robin Stoll

Relative self-equivalences and graph complexes
Advisor: Alexander Berglund

Robin Stoll is awarded the SMC prize for his excellent doctoral dissertation, on the algebraic topology of automorphisms of manifolds. The thesis contains deep results on automorphisms of odd-dimensional manifolds, in particular their rational cohomology and relations to graph complexes.
Robin Stoll's doctoral dissertation on DiVA