Presentation of degree projects in mathematics, Monday

Seminar

Date: Monday 8 December 2025

Time: 12.30 – 15.00

Location: Department of Mathematics, Albano building 1

On Monday 8 December, two degree projects in mathematics will be presented.

Maximilian Vranjes, Bachelor's thesis, K38

Date and time: Monday 8/12, 12:30
Place: Mittag-Leffler meeting room, Albano building 1
Student: Maximilian Vranjes
Supervisor: Anders Mörtberg
Title: "The Proofs of the Compactness Theorem of First Order Logic"

Abstract

The goal of this thesis will be to explore three areas of mathematics
through the lens of a single theorem - the compactness theorem. These areas
include filters and ultraproducts, Boolean algebras and topologies, and Henkin
constructions. The thesis will also be clear on the role of the axiom of choice in
each of these methods.

Simon Hanson, Bachelor's thesis, K35

Date and time: Monday 8/12, 14:00
Place: Cramér meeting room, Albano building 1
Student: Simon Hanson
Supervisor: Jonas Bergström
Title: "Hilbert's Invariance Theorem"

Abstract

In this thesis, we will work towards proving Hilbert’s Invariance Theorem. We
take invariance to mean how polynomials stay unchanged under group action
from a finite matrix group.
We will work through the concepts of Ascending Chain Condition, Symmetric
Polynomials, and the foundational Hilbert’s Basis Theorem to grasp the
concepts.

More presentations the same week

Zahra Alimoradzadeh, Master's thesis, M10

Date and time: Thursday 11/12, 8:30
Place: Cramér meeting room, Albano building 1
Student: Zahra Alimoradzadeh
Supervisor: Yishao Zhou
Title: "Asymptotic Analysis and Comparison of Model-Based and Model-Free Methods for the Linear Quadratic Regulator"

Andreas Karlsson, Bachelor's thesis, K36

Date and time: Thursday 11/12, 13:00
Place: Mittag-Leffler meeting room, Albano building 1
Student: Andreas Karlsson
Supervisor: Annemarie Luger
Title: "Machine Learning in Kreĭn Spaces: An Exposition to the Main Representer Theorems"

Anna Hall, Bachelor's thesis, K37

Date and time: Friday 12/12, 14:30
Place: Cramér meeting room, Albano building 1
Student: Anna Hall
Supervisor: Salvador Rodriguez Lopez
Title: "The Zeta function and The Prime Number Theorem"

For abstracts, see the department's calendar

Last updated: December 2, 2025

Source: Department of Mathematics

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