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HGS MathComp - Where Methods Meet Applications

The Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences (HGS MathComp) at Heidelberg University is one of the leading graduate schools in Germany focusing on the complex topic of Scientific Computing. Located in a vibrant research environment, the school offers a structured interdisciplinary education for PhD students. The program supports students in pursuing innovative PhD projects with a strong application-oriented focus, ranging from mathematics, computer science, bio/life-sciences, physics, and chemical engineering sciences to cultural heritage. A strong focus is put on the mathematical and computational foundations: the theoretical underpinnings and computational abstraction and conception.

HGS MathComp Principal Investigators are leading experts in their fields, working on projects that combine mathematical and computational methodology with topical research issues. Individual mentoring for PhD candidates and career development programs ensure that graduates are fully equipped to take up top positions in industry and academia.

Upcoming Events [see all...]

27.02.2024 - 29.02.2024
09:00 - 12:30
Key Competences
Compact Courses
Date & time:
27.02.2024 • 09:00 - 12:30
28.02.2024 • 09:00 - 12:30
29.02.2024 • 09:00 - 12:30

This course is part of the course program of the Graduate Academy.

The latest information and a registration link are available on the course website (log in with Uni-ID).

HGS MathComp fellows can get a reimbursement of the course fees. Please submit your proof of payment and certificate of participation to

Podcasts offer researchers diverse opportunities to participate actively and creatively in public debates and present their research. Whether in the form of a personal interview, a background report or an entertainingly moderated show, in podcasts listeners get to know the people behind the science.

What are the current trends on the worldwide podcast scene? How do you turn a good idea into a viable concept for a podcast? What do you need to produce your own podcast? What are the dos and don’ts of planning and implementation? And how do you cut a podcast?

The online podcast seminar introduces you to the world of podcast science communication. You will get tips, learn the tricks of using podcasts for your research topic and discover how to build a podcast step by step by means of practical exercises: from the initial concept through the production phase to subsequent marketing.

In addition to work during the seminar, the online sessions will be followed by two assignments that are a constituent part of the seminar to be done at home. Please allow some extra time for them.

Thematic focus

- (Science) Podcasts: what formats and trends are there?
- Planning and drawing up your own podcast
- Writing for the ear: how do you generate images in the mind?
- Step by step to your first podcast audio clip
- Sound and technology: how do you create a rich sound without a recording studio?
- Marketing: how do I reach listeners with my podcast?
18:00 - 22:00
HGS MathComp Board Game Evening
Location: Mathematikon • Common Room, 5th Floor • Im Neuenheimer Feld 205 • 69120 Heidelberg
Organizer: Michal Toth • HGS MathComp Fellow
Join the HGS MathComp board game evening! We play in Mathematikon Common Room from 18h till roughly 22-23h. Our collection of games is at your disposal, but bringing your game is welcome. We are always eager to learn new games. Do not forget to get something for dinner and snacks!

If you want more information, you may contact me at michal.toth (at)
07.03.2024 - 28.06.2024
Theory & Methods
4EU+ course: Quantum Information and Quantum Many-Body Theory (with short stay in Copenhagen)
Speaker: Various Speakers
Location: Online & Copenhagen
Registration: Please register on the course website (Deadline: March 1, 2024)
Organizer: 4EU+ European University Alliance
The 4EU+ course "Quantum Information and Quantum Many-Body Theory" is offered by the University of Copenhagen in collaboration with the University of Warsaw, the University of Milan, the University of Geneva, Heidelberg University, Sorbonne University, and Charles University.

The course is open to Master and PhD students in Math, Physics and Computer Science. It is structured into three phases, combining online and onsite learning:

- Phase 1: March 7 - May 2, 2024
Online lectures (approximately one two-hour lecture every other week, in total 7 lectures)
- Phase 2: May 2 - 31, 2024
Students work on assignments which will be presented at a poster session at the physical meeting.
- Phase 3: June 24 - 28, 2024
Physical Master Class in Copenhagen (approximately 24 hours of lectures plus 5 hours of exercises).

The course is worth 7.5 ECTS. Registration deadline: March 1, 2024

Please contact Angela Queisser for funding options through 4EU+ and HGS MathComp. For more information and to register, please visit the course page 4EU+: Quantum Information and Quantum Many-Body Theory – University of Copenhagen (

We are currently witnessing the second quantum revolution and with it the advent of quantum technological devices for information processing purposes. Understanding these systems and their capabilities as well as developing robust algorithms for them, requires a fundamental understanding of complex quantum many-body systems as well as ways to characterize their properties efficiently. Within this course, we will help the participants to obtain proficiency in all of these aspects of quantum theory. A tentative list of topics includes:

- Entanglement/Non-Locality
Lecture 1: States, Measurement, Tensor Product, Maximally Entangled State
Lecture 2: Tensor Product (contd.), Density Matrices, Reduced States, Entropy, Entanglement Entropy.
Lecture 3: Bell-inequalities, Bell’s Theorem, Non-local Games/Protocols.

- Quantum Spin-System
Lecture 1: Spin Hamiltonians, Spin-½ Heisenberg Model, SU(2), Ground States, Ground State Energy
Lecture 2: Free Energy, Thermodynamic Limit, Thermal State
Lecture 3: Symmetry Breaking, Mermin-Wagner
Lecture 4: AKLT, Matrix Product States

For each of these topics, we will provide introductory lectures to get students acquainted with the topics before entering into the in-person phase, where experts and practitioners of these fields will give further insight.

Learning Outcome:

The goal is to provide the students with a blended learning approach to the course content on the mathematics of quantum theory with special emphasis on complex quantum many-body systems and quantum information theory. The main intended learning outcomes include an overview of the latest developments in those fields. Furthermore, the course will help the participants to develop competencies to engage in self-organized cross-university and interdisciplinary collaborations via online group work as well as to give and receive peer-feedback on results. Inviting external experts in the field will also give young researchers in the field the opportunity to grow their professional network considerably.