Courses in the area "Geometry and Topology"
of the master program

Lecture courses from core modules

 WS 20/21SoSe 21WS 21/22SoSe 22WS 22/23SoSe 23WS 23/24SoSe 24
Analysis on manifolds A. Cap M. Kunzinger M. Eichmair N.N.
Riemannian geometryR. Steinbauer A. Cap M. Kunzinger M. Eichmair (?) 
Algebraic topologyV. Vertesi V. Vertesi  A. Mellit N.N. (?)
Lie groupsA. Cap M. Kunzinger A. Cap M. Kunzinger 

Seminars and topics courses

Remark: Topics courses on algebraic geometry and geometric group theory can be used for the area "Geometry and Topology". However, these courses are coordinated in the area "Arithmetics, algebra, and discrete mathematics", so future courses in these directions are only partially listed here.
WS 20/21:M. Kunzinger, G. Hörmann: VO Gauge Theory, 4 WSt. 6 ECTS
H. Hauser: Singularities VO 3 WSt. 5 ECTS + PS 1 WSt. 2 ECTS
R. Donninger, A. Cap: SE Black holes, 2 WSt. 4 ECTS
SoSe 21:R. Steinbauer: VO Lorentzian Geometry, 4 WSt., 6 ECTS
A. Mellit: Advanced algebraic geometry, VO 3WSt. 5 ECTS + PS 1 WSt. 2ECTS
D. Burde: VO Lie Algebras and Representation Theory, 4 WSt., 6 ECTS
V. Vertesi: VO Contact topology, 3 WSt. 5 ECTS
A. Mellit, V. Vertesi: SE Low Dimensional Topology, 2 WSt. 4 ECTS
WS 21/22:A. Cap: VO G-structures, 3 WSt. 5 ECTS
S. Dave: VO Introduction to large scale geometry, 2 WSt. 3 ECTS
A. Mellit: VO Advanced Topics in Algebraic Geometry, 2 WSt. 3 ECTS
M. Kunzinger: SE Optimal Transport and Riemannian Geometry, 2 WSt. 4 ECTS
SoSe 22:A. Cap, R. Donninger: SE Black holes 2 WSt. 4 ECTS
M. Eichmair: VO Topics in minimal surface theory 2 WSt. 3 ECTS
A. Mellit: VO Quantum invariants in low-dimensional topology 3 WSt. 5 ECTS
WS 22/23:V. Vertesi: VO Low Dimensional Topology, 3 WSt., 5 ECTS
A. Mellit: Introduction to moduli spaces, VO 3WSt. 5 ECTS
SoSe 23:M. Kunzinger: VO Lorentzian Geometry, 4 WSt., 6 ECTS
WS 23/24:R. Steinbauer: VO Metric Geometry, 4 WSt., 6 ECTS