Postgraduate courses for previous years are listed below (except for those given joint with undergraduate education).
2020/2021
- Singular Integral Equations
Examinator: Andreas Rosén
- Machine learning algorithms for inverse problems
Examinator: Larisa Beilina
- The Hardy Littlewood Circle Method.
Examinator: Kirsti Biggs
- Brownian motion
Examinator: Jeffrey Steif
- Introduction to Homogenization
Examinator: Irina Pettersson
2019/2020
- Harmonic analysis of measures, Q1-2
Examiner: Maria Roginskaya
- Topics in time-series analysis: old to new, Q1-2
Lecturer: Richard Davis (visiting professor)
Examiner: Holger Rootzen
- Introduction to inverse and ill-posed problems, begins Q2
Examiner: Larisa Beilina
- Finite element methods, Q3
Examiner: Axel Målqvist
- Algebraic topology, Q3
Examiner: Jan-Alve Svensson
- Singular integral equations, Q4
Examiner: Andreas Rosen
- Seminar course (mathematics), continuous
Examiner: Main supervisor of student
Contact: Peter Hegarty (Director of Studies)
- Seminar course I (mathematical statistics), continuous
Examiner: Main supervisor of student
Contact: Johan Tykesson (Director of Studies)
- Seminar course II (mathematical statistics), continuous
Examiner: Main supervisor of student
Contact: Johan Tykesson (Director of Studies)
2018/2019
- Analysis of Boolean functions, Q1
Examiner: Jeffrey Steif
- Fractals, Q2
Examiner: Julie Rowlett
- Lie Groups and Discrete Subgroups; Symmetric and Locally Symmetric Spaces, Q3
Examiner: Genkai Zhang
- Pseudo-differential Operators, Q 3-4
Examiner: Magnus Goffeng
- Markov Decision Processes, Q4
Examiner: Marina Axelson-Fisk
- Harmonic Analysis of Measures, Q4
Examiner: Maria Roginskaya
- Seminar Course I (mathematical statistics), year-round
Contact: Johan Tykesson
- Seminar Course II (mathematical statistics), year-round
Contact: Johan Tykesson
2017/2018
- Harmonic analysis on symmetric spaces, Q1
Examiners: Michael Björklund and Genkai Zhang
- Random partial differential equations, Q1
Examiner: Annika Lang
- Stochastic partial differential equations, Q2
Examiner: Annika Lang
- Probability theory, Q3
Examiner: Jeffrey Steif
- Approximate Bayesian computation, Q3
Lecturer: Magnus Röding
Examiner: Johan Tykesson
- Computational finance, Q4
Lecturer: Kristin Kirchner
Examiner: Stig Larsson
- Analysis of Boolean functions, Q4*
Examiner: Jeffrey Steif
- p-adic Methods in Number Theory, Q4
Lecturers: Dennis Eriksson, Sebastian Herrero, Anders Södergren
Examiner: Anders Södergren
2016/2017
- Descriptive Set Theory, Q1
Examiner: Maria Roginskaya
- Complex Analytic Varieties, Q 2-3
Examiner: Elizabeth Wulcan
- Advanced Finite Element Programming, Q 2-3
Examiner: Anders Logg
- Classical and Quantum Particle Systems, Q 3-4
Lecturers: Jakob Björnberg and Jules Lamers
Examiner: Jakob Björnberg
- Introductory K-theory, Q 3-4
Lecturers: Magnus Goffeng and Dennis Eriksson
Examiner: Magnus Goffeng
- The Ubiquitous Heat Kernel, Q4
Examiner: Julie Rowlett
- Introduction to Riemannian Geometry, Q4
Examiner: Genkai Zhang
- Computational Mathematical Modeling, Q4 + Summer
Examiner: Anders Logg
2015/2016
- Representation theory 1, Q 1-2
Examiner: Michael Björklund
- Mathematical methods for kinetic and fluid equations, Q 2-3
Examiner: Håkan Andreasson
Lecturers: HA + Simone Calogero
- Modular forms and generating series, Q 2-3
Examiner: Martin Westerholt-Raum
- Berkovich spaces, Q 3-4
Lecturer: Mattias Jonsson (guest professor from U Michigan)
Examiner and Local Contact: Dennis Eriksson
- Analysis of Boolean functions, Q 3-4
Examiner: Jeff Steif
- Finite element methods, Q 3
Examiner: Axel Målqvist
- Advanced Basics of Geometric Measure Theory, Q 3
Examiner: Maria Roginskaya
- Analytic Number Theory, Q 3-4
Lecturer: Julia Brandes
Examiner: Peter Hegarty
- Special Topics in Functional Analysis: The Spectrum of the Laplacian, Q 4
Examiner: Julie Rowlett
2014/2015
- Multivectors, spinors and index theorems, Q1-2
Examiner: Andreas Rosén
- Arithmetic Combinatorics, Q 1-2
Examiners: Michael Björklund, Peter Hegarty and Maria Roginskaya
- Scheme Theory, Q 3-4
Examiners: Per Salberger, Amos Turchet and Dennis Eriksson
- Lie Groups and Discrete Subgroups, Q 4
Examiner: Genkai Zhang
- Algebraic topology, Q4
Examiner: Jan-Alve Svensson
Mathematical statistics
- Integration theory
- Statistical climatology (Petter Guttorp, to be confirmed)
2013/2014
- Singular integrals (part 2), Q1
Examiner: Peter Sjögren
- Topics in optimal transportation, Q 1-2
Examiner: Robert Berman
- Markov chains and mixing times, Q 3-4
Examiner: Jeff Steif
- Ergodic theory with connections to additive combinatorics, Q 3-4
Examiner: Michael Björklund
- Riemannian geometry, Q4
Examiner: Genkai Zhang
- Introduction to the theory, numerical methods and applications of ill-posed problems, Nov. 4-12
Lecturer: Anatoly Yagola (Moscow)
Contact: Larisa Beilina
- Inverse problems of vibrational spectroscopy, Nov. 4-12
Lecturer: Gulnara Kuramshina (Moscow)
Contact: Larisa Beilina
- Biomathematics, runs the whole year
Lecturers: Approximately 10 different invited lecturers
Contact: Torbjörn Lundh
Mathematical statistics
- FMVE100 Integration theory (Johan Jonasson)
- Weak convergence (Serik Sagitov)
- High-dimensional data analysis (Holger Rootzén, 10 p, Sept-Nov)
- Genetic Epidemiology (Staffan Nilsson)
- MSF100-MVE325 Statistical Inference Principles (Rebecka Jörnsten)
- Spatial Statistics (Aila Särkkä)
- Markov chains and mixing times (Jeff Steif)
- Markov random fields (Olle Häggström)
- MSF200-MVE330 Stochastic processes (Serik Sagitov)
2012/2013
- Perspectives on mathematics - concept formation and learning, Q 1-2
Examiners: Christian Bennet and Thomas Lingefjärd (IDPP)
- Singular Integrals, Q4
Examiner: Peter Sjögren
- Industrial perspectives on Systems Biology and Bioinformatics, Q4
Examiner: Marija Cvijovic
- Modular forms, Q4
Examiner: Stefan Lemurell
- Geometric Mechanics and Geometric Integration, Q4
Lecturers: Klas Modin, Robert McLachlan and Olivier Verdier
Contact: Stig Larsson
- Social Network Analysis, Q2
Organisers: Vilhelm Verendel, Anton Törnberg, Petter Törnberg
- Levy processes, Q2
Organiser: Adam Andersson
Mathematical statistics
- FMVE100 Integration theory (Johan Jonasson)
- Chaos expansion on Poisson spaces with some applications in stochastic geometry (Günter Last, Sergei Zuyev)
- Applied Bayesian Methods (Petter Mostad)
- Statistics of extremes (study group, Holger Rootzén)
- Experimental design. Reading course based on Box, Hunter, Hunter: Statistics for Experimenters (Petter Mostad)
- Brownian motion and diffusion (Mats Rudemo and Magnus Röding
- MSF200-MVE330 Stochastic Processes (Serik Sagitov)
- MSF400-MVE315 Martingale Theory (Anton Muratov, Serik Sagitov)
- Industrial perspectives on Systems Biology and Bioinformatics (Marija Cvijovic)
- External course: Extremes in Space and Time (Thomas Mikosch, University of Copenhagen)
2011/2012
- Stochastic homogenisation theory, Q1
Examiner: Nils Svanstedt
- Introduction to K-theory and its applications, Q1
Examiners: Alexander Stolin and Lyudmila Turowska
- Electromagnetic fields and waves: Mathematical models and numerical methods, Q 1-2
Examiner: Larisa Beilina
- Probabilistic methods in combinatorics, number theory and computer science, Q2
Examiners: Devdatt Dubhashi, Peter Hegarty and Jeff Steif
- Ornstein-Uhlenbeck theory in finite dimension, Q2
Examiner: Peter Sjögren
- Riemann surfaces, Q 2-3
Examiner: Bo Berndtsson
- Hilbert space methods for PDEs, Q 2-3 (start in december)
Examiner: Grigori Rozenblioum
- Basics of geometric measure theory, Q3
Examiner: Maria Roginskaya
- The mathematical theory of finite element methods, Q3
Examiner: Stig Larsson
- Financial mathematics, Q3
Examiner: Christer Borell
- Percolation theory, Q3
Examiner: Olle Häggström
- Classical mechanics, Q4
Examiner: Bernt Wennberg
- Riemannian geometry, Q4
Examiner: Genkai Zhang
- Probabilistic methods in combinatorics, number theory and computer science (part 2), Q4
Examiners: Devdatt Dubhashi, Peter Hegarty and Jeff Steif
- Stochastic control theory, March 19-23 and April 2-5
Lecturer: Boualem Djehiche (KTH)
Contact: Stig Larsson
- Introduction to computational geometry, Q4
Lecturer: Ömer Egecioglu (UC Santa Barbara)
Contact: Peter Hegarty
- Evolutionary game theory and mean-field games, May 21-25 and June 18-21
Lecturer (part 1): Sander van Doorn (Bern)
Lecturer (part 2). TBA. Someone from Université Dauphine, Paris
Contact: Bernt Wennberg
Mathematical statistics
- MSF300 Probabilities and Expectations (1st half, Torgny Lindvall)
- Probabilistic methods in combinatorics, number theory and computer science (2nd half, Devdatt Dubhashi, Peter Hegarty, Jeff Steif)
- Bootstrap and resampling methods (2nd half and 1st part of spring, reduced speed, Rebecka Jörnsten)
- Percolation Theory (1st half, Olle Häggström)
- MSF400/MVE315 Martingale Theory (1st half, Anton Muratov, Sergei Zuyev)
- MSF100 Statistical Inference Principles (1st half, Rebecka Jörnsten)
- Stochastic control theory (April-May, Boualem Djehiche)
- Introduction to R for biologists (April-May, Krzysztof Bartoszek)
- Statistical Inference and Supervised Learning (May, Mats Rudemo, Magnus Röding)
2010/2011
- Kinetic Theory of Gases, Q1
Examiner: Bernt Wennberg
- Financial Mathematics, Q2
Examiner: Christer Borell
- Asymptotical Methods in Analysis, Q2
Examiner: Grigori Rozenblioum
- Triumphs in Mathematics, Q3
Examiner: Johan Wästlund
- Lie Groups and Discrete Subgroups, Q4
Examiner: Genkai Zhang
- Interacting Particle Systems, Q4
Examiner: Jeff Steif
- Algebraic Topology, Q4
Examiner: Jan-Alve Svensson
Mathematical statistics
- MSF300 Probabilities and Expectations (1st half, Torgny Lindvall)
- Introduction to Statistical Genetics (September, Simon Tavaré, Olle Nerman
- Regression Models and Graphs (October, Nanny Wermuth)
- MCMC methods in Bayesian inference (2nd half, Petter Mostad)
- MSF400/MVE315 Martingale Theory (2nd half, Erik Broman)
- Interacting Particle Systems (2nd half, Jeff Steif)
For postgraduate courses in mathematics the years 2009/2010, 2008/2009 and 2007/2008, see the Swedish page
2009/2010
Mathematical statistics
- MSF300 Probabilities and Expectations (1st half, Torgny Lindvall)
- Noise sensitivity and sharp thresholds (Oct-Dec, Jeff Steif)
- Chaos Expansions, Finite Elements, and Randomly Forced Equations (Krzysztof Podgorski, Igor Rychlik)
- Introduction to Graphical Markov models (Oct-Dec, Nanny Wermuth)
- Weak Convergence (1st half, Sergei Zuyev)
- MSF100 Statistical Inference Principles (1st half, Rebecka Jörnstam)
- MSF200 Stochastic Processes (1st half, Patrik Albin)
- Gaussian Stationary Processes (2nd half, Anastassia Baxevani)
- Elements of Statistical Learning (2nd half, Jenny Jonasson, Mats Rudemo)
- Robust konstruktionsmetod för ökad tillförlitlighet (anm senast 29 jan 2010, Jacques de Mare)
- Size-biased random trees and limit theorems in branching processes (May, K. B. Athreya, Peter Jagers)
- ABC-techniques and Applications (June, Simon Tavaré, Olle Nerman)
2008/2009
Mathematical statistics
- Sannolikheter och väntevärden (Torgny Lindvall) 7,5 points
- Linear-fractional Galton-Watson processes (Serik Sagitov) 4,5 points
- N.s. konvergens (Torgny Lindvall) 7,5 points
- Forensic statistics (studiecirkel, Alexandra Jauhiainen, Petter Mostad och Jacques de Maré) 7,5 points
- Konvergenshastigheter för Markovkedjor (Johan Jonasson) 7,5 points
- Inferensteori (Rebecka Jörnsten) 7,5 points
- Stokastiska differentialekvationer (Patrik Albin) 7,5 points