Search for dissertations about: "thesis about modules in mathematics"

Showing result 1 - 5 of 10 swedish dissertations containing the words thesis about modules in mathematics.

2. 1. Mathematical modelling in upper secondary mathematics education in Sweden

   Author : Jonas Bergman Ärlebäck; Christer Bergsten; Bharath Sriraman; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Abstract : The aim of this thesis is to investigate and enhance our understanding of the notions of mathematical models and modelling at the Swedish upper secondary school level. Focus is on how mathematical models and modelling are viewed by the different actors in the school system, and what characterises the collaborative process of a didactician and a group of teachers engaged in designing and developing, implementing and evaluating teaching modules (so called modelling modules) exposing students to mathematical modelling in line with the present mathematics curriculum. READ MORE

4. 2. Dualities, affine vertex operator algebras, and geometry of complex polynomials

   Author : Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

   Abstract : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. READ MORE

5. 3. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

   Author : Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

   Abstract : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. READ MORE

6. 4. Projective Links and Their Invariants

   Author : Maciej Mroczkowski; Oleg Viro; Jozef Przytycki; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Real projective space; skein modules; Homfly polynomial; Kauffman polynomial; descending link diagram; Algebra och geometri; Algebra and geometry; Algebra och geometri;

   Abstract : This thesis consists of two papers about knots and links in the real projective space RP3. We present an algorithm to unknot diagrammatically knots and links in RP3. We extend two classical polynomial invariants of links in R3 to links in RP3. READ MORE

7. 5. Invariants for Multidimensional Persistence

   Author : Martina Scolamiero; Wojciech Chacholski; Vin de Silva; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; computational topology; Matematik; Mathematics;

   Abstract : The amount of data that our digital society collects is unprecedented. This represents a valuable opportunity to improve our quality of life by gaining insights about complex problems related to neuroscience, medicine and biology among others. READ MORE