The institute participates in beginners' and service lectures, practical courses in programming, and teaches basic and advanced B.Sc. and B.A. courses in algebra and geometry for B.Sc. and B.A. students. In addition to conveying abstract theories, special emphasis is placed on an algorithmically oriented education in the field of theoretical mathematics. This includes the use, development and programming (mainly Julia) of appropriate software packages (CHEVIE, GAP, OSCAR). For M.Sc. students, we offer specialised projects in
The long-term planning can be found here. Please note that the institute's planning is subject to approval by the department.
B.Sc. and M.Sc. Mathematics
The IDSC offers the the B.Sc. track „Groups, Algorithms, Geometry and Applications“ which introduces algorithmic methods in algebra and geometry. It also builds the basis for M.Sc. specialisations in pure mathematics such as algebraic geometry and group theory.
| Year | Title | Supervisor |
|---|---|---|
| 2024 | Algebraic coding theory | Prof. Frederik Witt |
| 2023 | The Theorem of Riemann-Roch | Prof. Frederik Witt |
| 2022 | Sphere packings constructed by binary block cedy via of the construction A | Prof. Frederik Witt Priv. Doz. Dr. Anda Degeratu |
| 2022 | Topological data analysis with the Vietoris-Rips complex, two examples in polymake | Prof. Frederik Witt |
| 2021 | Desargues and Pappus Theorem in Projective Geometry | Prof. Frederik Witt |
| 2021 | Mathieu groups | Prof. Frederik Witt |
| 2020 | Gravitationswellen | Priv. Doz. Dr. Anda Degeratu |
| 2020 | Passierbare Schwarzschild-Wurmlöcher | Priv. Doz. Dr. Anda Degeratu |
| 2020 | Zusammenbruch eines Sterns und Entstehung von schwarzen Löchern | Priv. Doz. Dr. Anda Degeratu |
| 2020 | The tropical Grassmannian variety | Prof. Frederik Witt |
|
2019 |
Die Schwarzschild-Metrik | Priv. Doz. Dr. Anda Degeratu |
| 2019 | On the classification of complex surfaces | Prof. Frederik Witt |
| 2016 | Toric Ideals, Gröbner Bases and the Knapsack Problem | Prof. Frederik Witt |
| 2016 | Sylowzahlen | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Zum Satz von Schur - Zassenhaus | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Quadratsummen | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Irreduzible Polynome | Apl. Prof. Wolfgang Kimmerle |
| Year | Title | Supervisor |
|---|---|---|
| 2022 | Elliptic curves and Galois expansions of Q | Prof. Frederik Witt |
| 2022 | Protein Sequences and Tropical Geometry | Prof. Frederik Witt |
| 2021 | Toric Co-Higgs bundles and prevalued vector spaces | Prof. Frederik Witt |
| 2019 | Neural networks and Gröbner bases | Prof. Frederik Witt |
| 2019 | Gravitational Waves in the Presence of Cosmological Constant | Priv. Doz. Dr. Anda Degeratu |
| 2019 | Zum Beweis des F*-Theorems für ganzzahlige Gruppenringe | Apl. Prof. Wolfgang Kimmerle |
| 2018 | Gravitational Waves in the Presence of Cosmological Constant | Priv. Doz. Dr. Anda Degeratu |
| 2017 | Quotients of algebraic varieties | Prof. Frederik Witt |
| 2016 | Limiting configurations from a Hermitian point of view | Prof. Frederik Witt |
| 2016 | Hodge Theory on Noncompact Manifolds | Prof. Frederik Witt |
| 2014 | Multiplikative Jordanzerlegung in ganzzahligen Gruppenringen | Apl. Prof. Wolfgang Kimmerle |
B.A. Mathematics
The IDSC participates in the regular lectures on Algebra, Reading Course Algebra (for M. Ed. and revision B.A.) and Geometry, which build the theoretical core of teachers' training in mathematics. It also offers advanced lectures and seminars.
| Year | Title | Supervisor |
|---|---|---|
| 2021 | Die Sätze von Desargues und Pappus in der projektiven Geometrie | Prof. Frederik Witt |
| 2019 | Die Picard- und Jacobi-Varietät einer Riemannschen Fläche | Prof. Frederik Witt |
| 2020 | Platonische Körper in der Theorie und Praxis | Prof. Frederik Witt |
| 2017 | Verschiedene Beweise des Fundamentalsatzes der Algebra | Apl. Prof. Wolfgang Kimmerle |
| 2017 | Berechnung von Galoisgruppen bei Polynomen kleineren Grades | Apl. Prof. Wolfgang Kimmerle |
| 2017 | Zur Transzendenz von \pi | Apl. Prof. Wolfgang Kimmerle |
| 2017 | Restklassen und Kryptographie | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Über das Waringsche Problem | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Algebraische Behandlung klassischer Konstruktionsprobleme | Apl. Prof. Wolfgang Kimmerle |
| 2014 | RSA-Verfahren und Primzahltests | Apl. Prof. Wolfgang Kimmerle |
| Year | Title | Supervisor |
|---|---|---|
| 2019 | Neuronale Netze und Gröbnerbasen | Prof. Frederik Witt |
| 2017 | Charakterisierung transitiver Permutationsgruppen | Apl. Prof. Wolfgang Kimmerle |
| 2016 | Endliche projektive Inzidenzebenen | Apl. Prof. Wolfgang Kimmerle |
| 2015 | Kreisteilungskörper | Apl. Prof. Wolfgang Kimmerle |
STEM students
We run the DAMnIt-Seminar on mathematical foundations of cryptography in cooperation with SEC (department of computer sciences).
The institute also participates in the following LExMath courses:
Outreach activities
- Foundation and presentation of the lecture series „Mathe Macht!“: Maths in industrial applications (2019-22)
- Collection of mathematical models for educational and popularisation purposes
- participation in junior studies programme