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Lagt til thomas*2 #10

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22 changes: 22 additions & 0 deletions content/posts/thorbjorsen-thomas-wilskow.md
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---
title: "Thomas Wilskow Thorbjørsen"
date: 2021-05-01
draft: true
oppgavetype: ["Bacheloroppgave", "Matematikk"]
fagfelt: ["Algebra"]
tags: ["Triangulerte kategorier", "Homologisk algebra", "Kategoriteori", "Deriverte kategorier"]
veileder: ["Steffen Oppermann"]
math: true
summary: "An Introduction To Triangulated
Categories"
---

**Tittel:** An Introduction To Triangulated
Categories

**Veileder:** [Steffen Oppermann]({{<ref "/veileder/steffen-oppermann">}})

**Sammendrag:** This thesis aims to give an exposition to the theory on triangulated categories. The main
goals are to show that the Verdier quotient, the homotopy category, and the derived category are triangulated.

<iframe src="https://drive.google.com/file/d/1x1f5L6SedBj0QktJELDZq3gdeHzrq0-b/preview" width="700" height="980" allow="autoplay"></iframe>
25 changes: 25 additions & 0 deletions content/posts/thrane-thomas-agung-dibpa-anandita.md
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---
title: "Thomas Agung Dibpa Anandita Thrane"
date: 2022-05-01
draft: true
oppgavetype: ["Bacheloroppgave", "Matematikk"]
fagfelt: ["Analyse"]
tags: ["Elliptiske kurver", "Analytisk tallteori", "Kompleks analyse", "Tallteori"]
veileder: ["Kristian Seip"]
math: true
summary: "Modular forms and ∆"
---

**Tittel:** Modular forms and ∆

**Veileder:** [Kristian Seip]({{<ref "/veileder/kristian-seip">}})

**Sammendrag:** The theory of modular forms sits in the intersection of the mathematical branches: number theory, complex analysis, topology, algebraic geometry and group theory. For example, they play a part in the proof of Fermats last theorem by Andrew Wiles and
have surprising connections to the Monster simple group via the j-invariant and Richard
Brocherds' moonshine theory. In this bachelors project we investigate the simplest case
of a modular form, level 1 and integer weight, using undergraduate level complex analysis
with a sprinkle of group theory and linear algebra. We use the theory to prove that the
modular discrimant, a special modular form, has multiplicative Fourier coefficients - a
theorem conjectured by Ramanujan and proved by Mordell.

<iframe src="https://drive.google.com/file/d/1QMMNt6vFVRgY1_VDki1BEWseBRCDzTIw/preview" width="700" height="980" allow="autoplay"></iframe>