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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.

News & Current Opportunities

Guest Program

Call for proposals for the Romberg Visiting Professor and Romberg Visiting Scholar 2026

Deadline: June 30, 2025

Read more

Upcoming Events [see all...]

30.06.2025 - 04.07.2025
09:00 - 17:00
Practicals & Schools
4EU+ Integrative Think Tank (ITT)
Workshop

Speaker: Various Speakers
Location: Mathematikon • SAP AppHaus, Heidelberg
Registration: Please register on the event website • Registration open until May 12, 2025
Organizer: Marie Curie doctoral network AIPHY • Flagship 3 of the 4EU+ European University Alliance
ECTS: 2
What is an Integrative Think Tank (ITT)?
The ITT is a 5-day challenge workshop with two industrial partners. Participants and experts from the companies work together to investigate R&D topics related to current developments at these companies. We adopted and adapted the concept from our colleagues at the University of Bath.

The goal of the event…
… is to formulate research topics as thesis project outlines (PhD or Master). After the event, the university and the partner companies join forces to convert the project outlines into actual research projects.

This year's industrial partners are INOVA+ and SAP.

For more information, please visit the event website.

Monday, June 30: Presentation of SAP challenges; group discussions
Tuesday, July 1: Presentation of INOVA+ challenges; group discussions
Wednesday, July 2: Group work - analyze the problems
Thursday, July 3: Group work - mathematical and computational tools
Friday, July 4: Presentation of project ideas with industry partners

The preliminary program is available here.
 
03.07.2025
15:45 - 16:15
HGS MathComp Mixer
Networking

Location: Mathematikon • Common Room, 5th Floor • Im Neuenheimer Feld 205 • 69120 Heidelberg
Organizer: HGS MathComp
ECTS: 0
Join us for an informal get-together of the HGS MathComp community just before the IWR Colloquium. Bring your colleagues, have some cake and beverages, and find out what's currently going on in the other research groups.
 
03.07.2025
16:15
Theory & Methods
Inference of Constitutive Relations From Data, With Application to Sea Ice Modeling
IWR Colloquium

Speaker: Prof. Georg Stadler • Courant Institute, New York University, USA • 2024 Romberg Visiting Scholar
Location: NeMathematikon • Lecture Hall, Ground Floor • Im uenheimer Feld 205 • 69120 Heidelberg
Registration: No registration required
Organizer: Interdisciplinary Center for Scientific Computing (IWR)
ECTS: 1 for 5
The IWR Colloquium serves as a platform for the interdisciplinary dialogue which characterizes the field of scientific computing. Every semester, members of the IWR and its affiliated institutions as well as renowned international experts are invited to present their latest scientific results and discuss the upcoming challenges in the field of scientific computing.

The IWR Colloquium will be held as an in-person event at the Mathematikon. In addition it will be streamed via Zoom. For more information please visit the website of the colloquium.

Sea ice is a fundamental component of the climate system and is typically treated as a continuum fluid. The most widely used sea-ice model today, proposed by Hibler in 1979, was developed from heuristic analytical arguments. Although reliable in regions of high ice concentration, it performs poorly elsewhere. In this talk, we present a general framework for inferring constitutive relations from data, and apply it to sea ice. The approach uses a characterization of isotropic constitutive laws as scalar functions of the principal invariants of the strain-rate tensor. These scalar functions are represented by neural networks trained on data generated by a Lagrangian discrete element model. By coupling PyTorch with the finite-element package Firedrake, we incorporate the governing PDE into the training process, which requires solving a PDE-constrained optimization problem for the network parameters.