Schedule:

• Session 1: January 13, 12.30-16.15 in Room G5-112, Fredrik Bajers Vej 7G.
• Session 2: January 16, 12.30-16.15 in Room E3-109, Fredrik Bajers Vej 7E.
• Session 3: January 19, 12.30-16.15 in Room G5-112, Fredrik Bajers Vej 7G.
• Session 4: January 21, 12.30-16.15 in Room G5-112, Fredrik Bajers Vej 7G.
• Session 5: January 26, 12.30-16.15 in Room G5-112, Fredrik Bajers Vej 7G.

Abstracts

• Jakob Gulddahl Rasmussen: "Temporal Point Processes and the Conditional Intensity Function"
  
  Abstract: Times of events, such as earthquakes, can be modelled by temporal point processes. When modelling temporal point processes, the so-called conditional intensity function is a particularly useful tool. Roughly speaking, the conditional intensity function tells us if an event is going to happen now given we know the times of events in the past. Likelihood functions, simulation algorithms and model checking procedures can be constructed from the conditional intensity function. We will look at some of the theory behind temporal point processes and conditional intensity functions, and apply this theory to data.
  
  
• Olav Geil: "Applications of Gröbner Basis Theory to Problems in Information Theory"
  
  Abstract: Algebraic methods play a fundamental role in the theory of error-correcting codes. Different languages are applied such as algebraic geometry, function field theory, pure algebraic methods, and recently also Gröbner basis theory. This course gives an introduction to the use of Gröbner basis theory in algebraic coding theory and other information theoretical applications.
  
  
• Poul Svante Eriksen: "Introduction to Genetic Algorithms"
  
  Abstract: Genetic algorithms are designed to seek for solutions of a given optimality problem. The basic idea is inspired by population biology, where we consider a population of potential solutions. We randomly create new generations and adapt the darwinistic principle: survival of the fittest. Concepts like mutation, recombination and migration are included to allow drift against different solutions.
  
  
• Jon Johnsen: "Fourier Series and Partial Differential Equations"
  
  Abstract: First we shall give a short introduction to Fourier Series, and then proceed to the main subject: how Fourier Series can be applied in the solution of partial differential equations on simple domains. We shall focus on basic examples such as the heat equation, the wave equation and the Laplace equation. In the main we follow Chapter 8 in "Elementary differential equations with boundary value problems" af C. H. Edwards og D. E. Penney, Prentice-Hall 2000 (4th. ed.) We shall emphasize ideas rather than rigour, and therefore we shall combine lectures and exercises.
  
  
• Thomas Østergaard Sørensen: "Mathematics and Physics"
  
  Abstract: Historically, Mathematics and Physics have always been deeply connected. However, due to many Mathematics-students' dis-taste (!) for physics, this connection is most often ignored (to a large extent) in the Mathematics curriculum. We give an overview of the mathematical treatment of certain aspects/areas of physics. We briefly discuss what is called 'Classical Mechanics' (Newtonian, Lagrangian, Hamiltonian), and its relationship with dynamical systems and differential geometry. We then focus on Quantum Mechanics and its mathematical formulation. We survey some of the physical and mathematical questions, and the mathematical tools used to study them. We in particular focus on the Quantum Theory of atoms and molecules, as used also in (Quantum) Chemistry.

Supplementary material:

• Session 1: You can find more information on Jacob's homepage
• Session 2: Here are the slides (recycled from International School and Conference on Coding Theory). A paper describing the details can be found here
• Session 3: Here are the files mpg pdf CS
• Session 4: Notes can be found from this homepage
• Session 5: tbd

Participants:

• Christian Fischer Pedersen
• Torben Tvedebrink
• Casper Thomsen
• Ege Rubak
• Christian Robert Jacobsen
• Ann-Eva Christensen
• Martin Qvist