diff --git a/content/posts/thorbjorsen-thomas-wilskow.md b/content/posts/thorbjorsen-thomas-wilskow.md new file mode 100644 index 0000000..101d1a1 --- /dev/null +++ b/content/posts/thorbjorsen-thomas-wilskow.md @@ -0,0 +1,22 @@ +--- +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]({{}}) + +**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. + + \ No newline at end of file diff --git a/content/posts/thrane-thomas-agung-dibpa-anandita.md b/content/posts/thrane-thomas-agung-dibpa-anandita.md new file mode 100644 index 0000000..56ffc30 --- /dev/null +++ b/content/posts/thrane-thomas-agung-dibpa-anandita.md @@ -0,0 +1,25 @@ +--- +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]({{}}) + +**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. + + \ No newline at end of file