Mathematical Physics

Consecutive Master's Programme (M.Sc.)

At a glace

Study Programme

Target degree:	Master of Science (M.Sc.)
Standard lenghts of programme:	4 Semester
Teaching language:	German
Start of study:	for the summer and winter semester

Admission/Application

Restricted Admission:	restricted admission
Aptitude Assessment:	Suitability Procedure

Studying in Würzburg

JMU: Study physics in Würzburg - rediscover the world!

Programme Content

In contrast to other mathematics degree programmes, the consecutive Bachelor's/Master's degree programme in Mathematical Physics focuses primarily on the interplay between the two key sciences of mathematics and physics. The two are inextricably linked: Mathematics is the universal language of physics and provides efficient methods for dealing with physical and technical issues. Physics, in turn, is one of the most important driving forces behind the development of new mathematical theories and is one of the main areas of application for mathematics.

The "Master of Science" programme prepares students for scientific activities in the field of mathematical physics and the "Master of Science" degree prepares students for a doctorate (Dr. rer. nat.).

Learning Objectives

The aim of the programme is to provide students with in-depth knowledge and insight into the internal interrelationships of various sub-areas of mathematics, physics and mathematical physics as well as insight into interdisciplinary relationships, the mathematical and theoretical foundations of mathematical physics and interdisciplinary contexts as well as a sound knowledge of the mathematical, theoretical and experimental methods for gaining new insights including the necessary capacity for abstraction, analytical thinking, a high level of problem-solving competence and the ability to structure complex interrelationships, so that they can work as responsible mathematical physicists in interdisciplinary and international teams of (natural) scientists in research, industry and the economy.

Study Structure and Organisation

Module Groups	Abbreviation	ECTS-Points
Mandatory Courses		20

Analysis and Geometry of Classical Systems	10-M=MP1	10
Algebra and Dynamics of Quantum Systems	10-M=MP2	10

Module Groups	Abbreviation	ECTS-Points
Electives Field		50

Mathematics		mind. 8
Applied Analysis	10-M=AAAN	10
Topics in Algebra	10-M=AALG	10
Differential Geometry	10-M=ADGM	10
Complex Analysis	10-M=AFTH	10
Geometric Structures	10-M=AGMS	10
Industrial Statistics 1	10-M=AIST	10
Lie Theory	10-M=ALTH	10
Numeric of Large Systems of Equations	10-M=ANGG	10
Basics in Optimization	10-M=AOPT	10
Control Theory	10-M=ARTH	10
Stochastic Models of Risk Management	10-M=ASMR	10
Stochastical Processes	10-M=ASTP	10
Topology	10-M=ATOP	10
Time Series Analysis	10-M=AZRA	10
Number Theory	10-M=AZTH	10
Giovanni Prodi Lecture (Master)	10-M=AGPCin	5
Algebraic Topology	10-M=VATP	10
Geometrical Mechanics	10-M=VGEM	10
Industrial Statistics 2	10-M=VIST	10
Field Arithmetics	10-M=VKAR	10
Numeric of Partial Differential Equations	10-M=VNPE	10
Mathematical Statistics	10-M=VSTA	10
Discrete Mathematics	10-M=VDIM	5
For further modules, please refer to the relevant degree Subject Description (SFB)

Physics		mind. 8
General Theoretical Physics
Quantum Mechanics II	11-QM2	8
Theoretical Quantum Optics	11-TQO	8
Theory of Relativity	11-RTT	6
Renormalization Group Methods in Field Theory	11-RMFT	8
Physics of Complex Systems	11-PKS	6
Advanced Theory of Quantum Computing and Quantum Information	11-QIC	6
Theoretical Solid State Physics
Theoretical Solid State Physics	11-TFK	8
Theoretical Solid State Physics 2	11-TFK2	8
Phenomenology and Theory of Superconductivity	11-PTS	6
Topological Effects in Solid State Physics	11-TEFK	8
Field Theory in Solid State Physics	11-FFK	8
Computational Materials Science (DFT)	11-CMS	8
Conformal Field Theory	11-KFT	6
Conformal Field Theory 2	11-KFT2	6
Particle Physics (Standard Model)	11-TPSM	8
Renormalization Group and Critical Phenomena	11-CRP	6
Bosonisation and Interactions in One Dimension	11-BWW	6
Introduction to Gauge/Gravity Duality	11-GGD	8
Astrophysics
Cosmology	11-AKM	6
Theoretical Astrophysics	11-AST	6
Introduction to Plasma Physics	11-EPP	6
High Energy Astrophysics	11-APL	6
Computational Astrophysics	11-NMA	6
Theoretical Elementary Particle Physics
Quantum Field Theory I	11-QFT1	8
Quantum Field Theory II	11-QFT2	8
Theoretical Elementary Particle Physics	11-TEP	8
String Theory 1	11-STRG1	8
String Theory 2	11-STRG2	6
Models Beyond the Standard Model of Elementary Particle Physics	11-BSM	6
For further modules, please refer to the relevant degree Subject Description (SFB)

Research in Groups		mind. 10
Research in Groups - Algebra	10-M=GALG	10
Research in Groups - Discrete Mathematics	10-M=GDIM	10
Research in Groups - Dynamical Systems and Control Theory	10-M=GDSC	10
Research in Groups - Complex Analysis	10-M=GCOA	10
Research in Groups - Geometry and Topology	10-M=GGMT	10
Research in Groups - Mathematics in Context	10-M=GMCX	10
Research in Groups - Mathematics in the Sciences	10-M=GMSC	10
Research in Groups - Measure and Integral	10-M=GMAI	10
Research in Groups - Numerical Mathematics and Applied Analysis	10-M=GNMA	10
Research in Groups - Robotics, Optimization and Control Theory	10-M=GROC	10
Research in Groups - Time Series Analysis	10-M=GTSA	10
Research in Groups - Statistics	10-M=GSTA	10
Research in Groups - Number Theory	10-M=GNTH	10
For further modules, please refer to the relevant degree Subject Description (SFB)

Modules	Abbreviation	ECTS-Points
Professional Specialization Mathematical Physics	11-FS-MP	10
Scientific Methods and Project Management Mathematical Physics	11-MP-MP	10
Master Thesis Mathematical Physics	11-MA-MP	30

The final section consists of the modules "Professional Specialisation in Mathematical Physics" and "Scientific Methods and Project Management Mathematical Physics" as well as the Master's thesis. The final year lasts one year and is usually completed in the 3rd and 4th semesters. The Master's thesis must be completed in 6 months. The modules "Professional Specialization" and "Scientific Methods and Project Management" are aligned with the Master's thesis in terms of content and should be successfully completed before the start of the Master's thesis.