Courses in the area "Geometry and Topology"

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

Lecture courses from core modules

WS 22/23 SoSe 23 WS 23/24 SoSe 24 WS 24/25 SoSe 25 WS 25/26 SoSe 26
Analysis 3 (Bachelor) A. Cap G. Hörmann R. Donninger N.N.

Analysis on manifolds M. Eichmair A. Cap M. Eichmair N.N.

Riemannian geometry M. Kunzinger M. Eichmair M. Kunzinger N.N.

Algebraic topology A. Mellit V. Vertesi A. Mellit N.N.

Lie groups A. Cap M. Kunzinger A. Cap N.N.

	WS 22/23	SoSe 23	WS 23/24	SoSe 24	WS 24/25	SoSe 25	WS 25/26	SoSe 26
Analysis 3 (Bachelor)		A. Cap		G. Hörmann		R. Donninger		N.N.
Analysis on manifolds		M. Eichmair		A. Cap		M. Eichmair		N.N.
Riemannian geometry	M. Kunzinger		M. Eichmair		M. Kunzinger		N.N.
Algebraic topology		A. Mellit		V. Vertesi		A. Mellit		N.N.
Lie groups	A. Cap		M. Kunzinger		A. Cap		N.N.

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 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
	V. Vertesi: VO Differential topology
	A. Cap: Spinors and Dirac Operators
SoSe 24:	M. Kunzinger: VO Principal Fiber Bundles, 4 WSt., 6 ECTS
	A. Cap, R. Donninger: SE Black holes, 2 WSt. 4 ECTS
WS 24/25:	M. Kunzinger, G. Hörmann: VO Gauge Theory, Lagrangians, and Symmetry, 4 WSt. 6 ECTS
	V. Vertesi: VO Algebraic topology 2
	D. Burde: VO Lie Algebras and Representation Theory, 4 WSt., 6 ECTS