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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...]

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.
Fireside Chat: Mathematics & Board Games
Speaker: Peter Schmähler, Podcast "Einzelspiel"
Location: Mathematikon • Common Room, 5th Floor • Im Neuenheimer Feld 205 • 69120 Heidelberg
Organizer: HGS MathComp
Peter Schmähler studied mathematics at TU Kaiserslautern and teaches mathematics in Hamburg. His podcast "Einzelspiel" is about single-player board games, but our fireside chat will of course be about games of all kinds. What interesting innovations are there? How does your view of games change when you review them? And of course: What interesting mathematical aspects are hidden in board games?
The fireside chat will be led by HGS MathComp members. Attendees are encouraged to participate in the discussion. Bring your favorite games, because after the fireside chat and a catering, we will conclude the evening with games.

This event is part of the HGS MathComp Year of Board Games 2024. Stay tuned for other events.
14.03.2024 - 15.03.2024
10:00 - 17:00
Key Competences
Writing Scientific Papers in English
Compact Courses
Date & time:
14.03.2024 • 10:00 - 17:00
15.03.2024 • 09:30 - 16:30

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

In the academic world, clear, concise, and well-written texts play an important role in convincing journal editors and conference organisers to accept a paper for review and publication, or to invite a researcher to present at a conference. This workshop supports PhD students and novice researchers who need to produce scientific papers in English. Providing participants with strategies to write short texts efficiently and effectively, it also focuses on standards of professional papers aimed at Anglo-Saxon or international research communities. It enables participants to organise ideas and structure texts effectively, to present their own and other researchers‘ findings and opinions appropriately, and to use correct terminology and vocabulary.

During the workshop, participants work with their own texts as well as with examples from their own disciplines that they bring along and consider to be particularly well written. They discuss features of good scientific papers and are equipped to use adequate language in different genres and for different audiences. In addition, they receive peer feedback on their own drafts. All exercises empower them to produce clearer, and more correct, concise, and reader-oriented papers.

The two-day workshop covers the following topics:

- taking inventory: participants‘ strengths and challenges in writing scientific papers in English
- a brief introduction to research and writing processes
- using text analysis to become a better writer
- reporting findings, ideas, and opinions professionally and adequately
- making yourself understood: principles of clear and concise writing
- structuring ideas, organising texts: transitions, connectives, & co.
- working effectively with co-authors and constructive text feedback
- useful online and offline resources