# Joint courses

KTH and SU offer courses in mathematics at the advanced level (Master level, second cycle of higher education) within many mathematical branches. For the 2024/25 academic year, the following courses will be offered within the program:

Code | Course title | Period(s) | Lecturer |
---|---|---|---|

SF2725 | The History of Mathematics | 1 | H. Hedenmalm (KTH) |

SF2956 | Topological Data Analysis | 1 | W. Chachólski (KTH) |

MM7024 | Linear Algebra and Learning from Data | 1 | Y. Zhou (SU) |

SF2741 | Enumerative Combinatorics | 1-2 |
K. Jochemko (KTH) |

SF2743 | Advanced Real Analysis I | 1-2 | K. Bjerklöv (KTH) P. Kurasov (SU) |

MM7020 | Mathematical Communication | 1-2 | B. Shapiro (SU) |

MM7033 | Advanced Algebra | 1-2 | G. Arone (SU) D. Rydh (KTH) |

MM7043 | Galois Theory | 1-2 | S. Tirabassi (SU) |

MM7052 | Topology | 1-2 | J. Bergström (SU) |

MM8040 | Function Theory of Several Complex Variables | 1-2 | A. Sola (SU) |

MM8043 | Reductive Algebraic Groups | 1-2 | W. Goldring (SU) |

MM7028 | Optimization | 2 | S. Rodriguez Lopez (SU) Y. Zhou (SU) |

MM7029 | Mathematics of Cryptography | 3 | R. Bögvad (SU) |

MM8036 | Type Theory | 3-4 | P. L. Lumsdaine (SU) |

SF2716 | Selected Topics in Mathematics I: Algebraic Geometry | 3-4 | D. Rydh (KTH) S. Tirabassi (SU) |

SF2704 | Selected Topics in Mathematics II: Algebraic Statistics | 3-4 | L. Solus (KTH) |

SF2720 | Chaotic Dynamical Systems | 3-4 | D. Damjanovic (KTH) M. Saprykina (KTH) |

SF2722 | Differential Geometry | 3-4 | K. Kröncke (KTH) |

MM8044 | Advanced Real Analysis II | 3-4 | H. Shahgholian (KTH) P. Kurasov (SU) |

MM7025 | Computer Algebra | 3-4 | S. Lundqvist (SU) |

AK2030 | 3 | T. Grüne-Yanoff (KTH) | |

SA2001 |
Sustainable development and research methodology in mathematics |
3 | M. Sandberg (KTH) G. Tibert (KTH) T. Bauer (KTH) |

For information about regularly given courses in these subjects at the advanced level at KTH and Stockholm University, Following the links below. *Note that for each course listed there is no guarantee that the course will be given during a given year. *

**Courses jointly organized by KTH&SU ***A course with the code SFXXXX is regularly given at KTH and that with the MMXXXX is regularly given at SU.*

Code | Course title | Fall (even years) | Spring (odd years) | Fall (odd years) | Spring (even years) |
---|---|---|---|---|---|

SF2743 MM7046 |
Advanced Real Analysis I | X | - | X | X |

MM7052 | Topology | X | - | X | - |

SF2740 | Graph Theory | - | - | X | - |

MM7020 | Mathematical Communication | X | - | X | - |

MM7053 | Partial Differential Equations | - | - | X | - |

SF2705 MM7044 |
Fourier Analysis | - | - | X | - |

SF2741 MM7031 |
Enumerative Combinatorics | - | - | X | - |

MM7022 | Logic II | - | - | X | - |

MM7043 | Galois Theory | X | - | - | - |

MM7024 | Linear Algebra and Learning from Data | X | - | X | - |

MM7028 | Optimization | X | - | X | - |

MM7033 | Advanced Algebra | X | - | X | - |

MM8040 | Function Theory of Several Complex Variables | X | - | - | - |

MM8043 | Reductive Algebraic Groups | X | - | - | - |

SF2744 MM8044 |
Advanced Real Analysis II | - | X | - | - |

SF2720 | Chaotic Dynamical Systems | - | X | - | - |

SF2722 MM7051 |
Differential Geometry | - | X | - | - |

AK2030+SA2001 | Theory of Science | - | X | - | X |

MM7050 | Representation Theory of Finite Groups | - | - | - | X |

SF???? | Algebraic Geometry | - | X | - | - |

SF3630 MM8042 |
Algebraic Topology | - | - | - | X |

SF2728 MM7049 |
Number Theory | - | - | - | X |

SF2745 | Advanced Complex Analysis | - | - | - | X |

MM7025 | Computer Algebra | - | X | - | - |

MM7027 | Dynamical Systems and Optimal Control Theory | - | - | - | X |

MM7029 | Mathematics of Cryptography | - | X | - | X |

MM7048 | Set Theory and Metamathematics | - | - | - | X |

MM8036 | Type Theory | - | X | - | - |

Every semester we will provide at least one extra topic within the joint master program. Below is a short list of such courses in the past

- Differential Topology
- Mathematical Problems from Industry
- Combinatorial Topology
- Introduction to Riemann Surfaces
- Topics in Combinatorics
- Methods of Modern Mathematical Physics
- Riemann-Hilbert Methods in Asymptotic Analysis
- Algebraic Combinatorics
- Spectral Theory
- Quantum Graphs
- Category Theory
- Computer Algebra
- Function Theory of Several Complex Variables
- Reductive Algebraic Groups

More courses can be found in the following links.

**Courses organized by KTH **

- Overview of courses in applied and computational mathematics
- Overview over courses in computer science

**Courses organized by SU **