Stockholm university
Department of Mathematics

Presentations of degree projects in mathematics, Friday

Seminar

Date: Friday 29 August 2025

Time: 09.00 – 15.30

Location: Campus Albano

On Friday 29 August, four bachelor's theses, one master's thesis and two degree projects for teachers in mathematics will be presented.

 

Yue Su, Independent projects for mathematics teachers, L15

Date and time: Friday 29/8, 9:00
Place: Cramér meeting room, Albano building 1
Student: Yue Su
Supervisor: Per Alexandersson
Title: "Avgörbara och oavgörbara problem-en analys utifrån strategiska spel"

Abstract

This paper presents the concepts of decidability and undecidability within the context of computability theory. The main aim is to provide a fundamental understanding
of these concepts by analyzing both mathematical problems and strategic games—namely Magic: The Gathering and Dominion. Central focus is placed on the notion of undecidability: the classical Halting Problem, and Turing machines are introduced. Furthermore, the case where Magic: The Gathering has been proven to be Turing-complete and undecidable is presented to deepen the conceptual understanding of undecidability. Finally, the significance of an undecidable game like Magic: The Gathering is discussed, along with how the employed proof technique
may inspire further investigation of the undecidability problem in Dominion.

 

Titti Westlin, Bachelor's thesis, K34

Date and time: Friday 29/8, 10:30
Place: Cramér meeting room, Albano building 1
Student: Titti Westlin
Supervisor: Per Alexandersson
Title: "Bevis av Lindström-Gessel-Viennots lemma samt några tillämpningar."

Abstract

We prove Lindström-Gessel-Viennot's lemma. This lemma provides a method to count numbers of non-intersecting $n$-tuples of paths in a graph via a determinant. The result has many practical applications, particularly in combinatorics regarding Young tableaux.

 

Erika Berger, Bachelor's thesis, K23

Date and time: Friday 29/8, 11:00
Place: Meeting room 25, Albano building 2
Student: Erika Berger
Supervisor: Wushi Goldring
Title: "From Abstraction to Action: Exploring Symmetry through Group and Representation Theory"

Abstract

This thesis examines the mathematical structure of symmetry found throughout group theory and representation theory. Using group theory as a foundation, it formalizes groups as abstract models of symmetry to develop key algebraic ideas. Representation theory is then introduced as a means of concretely realizing these symmetries through linear transformations on vector spaces. The final chapter synthesizes these ideas by defining symmetry as invariance under transformation and illustrating how representation theory gives form to the symmetries encoded in group theory. Throughout, the study emphasizes symmetry not only as a mathematical concept but as a unifying principle across algebraic structures

 

Minna Litzén, Bachelor's thesis, K27

Date and time: Friday 29/8, 13:00
Place: Cramér meeting room, Albano building 1
Student: Minna Litzén
Supervisor: Håkan Granath
Title: "Fibonacci modulo m"

Abstract

A periodic sequence arises when the elements of the Fibonacci sequence are taken modulo m. This thesis is about the period of the Fibonacci sequence modulo m, where we pay attention to its properties. Several theorems are shown with methods from number theory and algebra. We also address a conjecture that has been unproven for a longer amount of time. The problem of calculating the length of the period can be linked to the discrete logarithm problem, which has led to studies on the period having several possible areas of application. We will get familiar with the Legendre symbol and the law of quadratic reciprocity to calculate upper bounds on the period, we will also touch on the concept of a splitting field. At last, the properties of the period of the Fibonacci sequence are generalized to the period of a general second-order linear recurrence sequence.

 

Dennis Partanen, Bachelor's thesis, K29

Date and time: Friday 29/8, 13:00
Place: Meeting room 25, Albano building 2
Student: Dennis Partanen
Supervisor: Pavel Kurasov
Title: "Solving the Schrödinger equation by example"

Abstract

    In this bachlor diploma, the time-independent Schrödinger equation is derived and studied under the assumption of separable solutions and a real, time-independent potential function. We show that the resulting eigenvalues E are real and bounded below by the minimum of the potential. Furthermore, we examine how solutions to the time-independent equation relate to the full time-dependent Schrödinger equation.

    Two examples are treated: the harmonic oscillator, where explicit solutions and eigenvalues are obtained using the ladder operator method, and the finite potential well, where a transcendental equation is derived. Using monotonicity and the Intermediate Value Theorem, we show that this equation has a finite number of solutions depending on the parameter values, and that at least one solution always exists. Finally, the infinite potential well is discussed as a limiting case.

 

Jorge Martín, Master's thesis, M9

 

Date and time: Friday 29/8, 13:30
Place: Zoom
Student: Jorge Martín
Supervisor: Alexander Berglund
Title: "The Halperin conjecture"

Abstract

The Halperin conjecture is a long-standing open problem in algebraic topology, stating that the rational Serre spectral sequence of orientable fibrations whose fibre is a positively elliptic space degenerates at the $E_2$ page. In this thesis, we carry out a survey of the conjecture, studying its background, various alternative formulations and the current state of research. Concretely, we first review the basics of fibrations, spectral sequences and rational homotopy theory as a basis for the rest of the work. Then, we move on to state two re-phrasings of the conjecture and show their equivalence with the original one. Our main contribution is to give complete proofs of these equivalences, whose details had been partially omitted in the literature. Especially relevant is the algebraic formulation, which states that the cohomology algebra of a positively elliptic space does not admit non-zero derivations of negative degree. Later, we present a series of specific cases for which the conjecture has been proved and review the techniques used in the latest publications on the topic. We conclude with counterexamples showing that the statement of the conjecture is sharp.

Marcus Ibrahim, Independent projects for mathematics teachers, L13

Date and time: Friday 29/8, 14:30
Place: Cramér meeting room, Albano building 1
Student: Marcus Ibrahim
Supervisor: Håkan Granath
Title: "Permutationsgrupper"

Abstract

The purpose of this project is to provide a thorough introduction to permutation groups, which are central to group theory, by gradually building up the theory of groups and permutations using concepts such as group action, orbits, stabilizers, blocks, and primitivity. The project combines theory with practical algorithms implemented in Python, which the reader has access to. This enables interactive learning and further exploration of the subject.

 

More presentations in August

You can find upcoming presentations in the calendar

The following projects will also be presented in August.

Sindre Becker, Bachelor's thesis, K22
Date and time: Tuesday 19/8, 9:00
Place: Meeting room 25, Albano building 2
Student: Sindre Becker
Supervisor: Jakob Reiffenstein
Title: "Primtals satsen genom Newmans Tauberiska sats för Laplace transformationen och Riemanns zetafunktion"

Ottilia Andersson, Bachelor's thesis, K21
Date and time: Wednesday 27/8, 9:00
Place: Cramér meeting room, Albano building 1
Student: Ottilia Andersson
Supervisor: Wushi Goldring
Title: "Outer automorphisms of S6"

Axel Olsson, Bachelor's thesis, K28
Date and time: Wednesday 27/8, 9:00
Place: Meeting room 25, Albano building 2
Student: Axel Olsson
Supervisor: Yishao Zhou
Title: "Convergence Analysis of Quasi Newton methods and on the relation to Conjugate Gradient"

David Sermoneta, Bachelor's thesis, K31
Date and time: Wednesday 27/8, 10:30
Place: Meeting room 25, Albano building 2
Student: David Sermoneta
Supervisor: Salvador Rodriguez-Lopez
Title: "A guided tour of Wavelet theory via the constructions of Multiresolution analyses"

Ludvig Fagrell, Master's thesis, M7
Date and time: Wednesday 27/8, 12:30
Place: Meeting room 25, Albano building 2
Student: Ludvig Fagrell
Supervisor: Annemarie Luger
Title: "Rational Herglotz-Nevanlinna functions of several variables"

Filip Ström, Bachelor's thesis, K32
Date and time: Wednesday 27/8, 14:00
Place: Meeting room 41, Albano building 2
Student: Filip Ström
Supervisor: Samuel Lundqvist
Title: "En experimentell studie av termreduktion med Gröbnerbaser och en alternativ algoritm"

Anya Hanson, Master's thesis, M8
Date and time: Wednesday 27/8, 14:00
Place: Meeting room 25, Albano building 2
Student: Anya Hanson
Supervisor: Salvador Rodriguez Lopez
Title: "Solvability of Dirichlet and Neumann Boundary Value Problems on C^{1,α} Domains"

Zacharias Veiksaar, Bachelor's thesis, K33
Date and time: Thursday 28/8, 8:30
Place: Cramér meeting room, Albano building 1
Student: Zacharias Veiksaar
Supervisor: Yishao Zhou
Title: "A Study of Portfolio Optimization in Discrete Time: From Markowitz to Reinforcement Learning"

Nikolina Bellon, Master's thesis, M5
Date and time: Thursday 28/8, 9:00
Place: Meeting room 25, Albano building 2
Student: Nikolina Bellon
Supervisor: Wushi Goldring
Title: "Semisimple Lie algebras and root systems"

Emre Kaplaner, Bachelor's thesis, K25
Date and time: Thursday 28/8, 10:00
Place: Cramér meeting room, Albano building 1
Student: Emre Kaplaner
Supervisor: Yishao Zhou
Title: "Dynamic Mean–Variance Portfolio Choice: Markowitz Foundations, Time Inconsistency, and Game-Theoretic Equilibria"

Johannes Erixon, Bachelor's thesis, K24
Date and time: Thursday 28/8, 10:30
Place: Meeting room 41, Albano building 2
Student: Johannes Erixon
Supervisor: Wushi Goldring
Title: "Jordan Normal Form"

Anton Christenson, Master's thesis, M6
Date and time: Thursday 28/8, 10:30
Place: Meeting room 25, Albano building 2
Student: Anton Christenson
Supervisor: Peter LeFanu Lumsdaine
Title: "Functorial Semantics for Fragments of First-Order Logic"

Lucas Dixon Leijon, Bachelor's thesis, K26
Date and time: Thursday 28/8, 12:30
Place: Meeting room 41, Albano building 2
Student: Lucas Dixon Leijon
Supervisor: Rikard Bögvad
Title: "Hyperbolic Groups"

Olli Pettersson, Independent projects for mathematics teachers, L14
Date and time: Thursday 28/8, 13:00
Place: Meeting room 9, Albano building 1
Student: Olli Pettersson
Supervisor: Per Alexandersson
Title: "The Geometry of a Good Cut: Moser, Pizza, and Beyond"

Rubina Parvin, Bachelor's thesis, K30
Date and time: Thursday 28/8, 14:00
Place: Meeting room 25, Albano building 2
Student: Rubina Parvin
Supervisor: Sofia Tirabassi
Title: "Generating functions and their applications to counting"

Last updated: August 14, 2025

Source: Department of Mathematics

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