Student Projects Supervision

I am undertaking  supervision/ co-supervision of BSc- and MSc-projects in Algebraic Geometry, Differential Geometry, Mathematical Physics and  Algebraic Number Theory under the UGRI/SURE-scheme, as well as after direct arrangement, but then only in coordination with one of the academic staff members of SoMaS.  Please do not hesitate to send inquiries, at least a month before the desired starting date. I only supervise one student at a time.

Project Proposals: 

Most projects can be adjusted to the student's background, however subjects 1,2,3 are quite hard ab initio.

1. Dessin d'enfant and Belyi's Theorem. (Algebraic Geometry with views towards Arithmetic) [for 3rd/4th Year]

2. Weyl Groups as Galois Groups. (Representation Theory, Lie Theory, Galois Theory and Geometry) [for 4th Year]

3. Galois Groups as Fundamental Groups- Geometrisation of Number Theory (Number Theory and Geometry) [for 4th Year]

4. The Borel-Weil-Bott Theorem. (Representation Theory, Lie Theory)[for 3rd/4th Year]

5. D-Branes and Coherent Sheaves (Algebraic Geometry and Mathematical Physics-String Theory) [for 3rd/4th Year]

6. Axiomatic Conformal Field Theory (Algebra and Mathematical Physics) [for 2nd/3rd/4th Year]

7. Knot Invariants ( and their relations to Number Theory or Physics )(Geometry, Number Theory and Mathematical Physics)  [for 2nd/3rd/4th Year]

8. From Differential Equations to D-Modules (Algebra and Geometry)  [for 2nd/3rd/4th Year]

9. Cartan-Klein Geometries (Differential Geometry and Lie Theory) [for 3rd/4th Year]

10. Hyperbolic Groups in Geometric Group Theory (Differential Geometry and Group Theory)  [for 2nd/3rd/4th Year]

11. p-Adic Analysis on Locally Compact Groups (Number Theory and Analysis)[for 2nd/3rd/4th Year]

12. Artin-Wedderburn Theorem and Brauer Groups (Representation Theory and Algebra) [for 2nd/3rd Year]

13. The Symplectic Geometry of Analytical Theoretical Mechanics (Geometry and Mathematical Physics) [2nd/3rd/4th Year]

14. Supersymmetric Quantum Mechanics- SUSY in 1D  (Geometry and Mathematical Physics) [3rd/4th Year]

Students (since Autumn 2021):

• Yiwei Wang- MSc Project - Number Theory w/ E.Shinder ( Graduated Winter 2022)