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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 15, 2025

Mentoring Program

Call for applications for the SSC Fellows Program 2025

Deadline: June 15, 2025

20.05.2025 - 21.05.2025
09:00 - 17:00
Key Competences
Make an Impact: Networking and Self-Marketing Skills for Scientists
Compact Courses

Speaker: Guido Molina (Impulsplus)
Location: Präsenz in Heidelberg
Registration: Please register on the event website
Organizer: Graduate Academy
ECTS: 1
This course is part of the course program of the Graduate Academy. Please note that this course will be held in English.

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 hgs@iwr.uni-heidelberg.de.

Objectives:
How can I make an impact in professional contexts such as small-talk situations at conferences? What can help me in situations where I face an international crowd and how can I connect to an interdisciplinary audience? The workshop Make an Impact! offers the opportunity to enhance overall effective communication (verbal and non-verbal), as well as interpersonal settings, in order to improve networking and self-promotion opportunities.

Description:
Throughout the workshop, participants will be guided through interactive exercises to improve their communication, as well as focus on the quality of their language content and physical expression. The aim is to develop strategies to make a lasting and positive impact on groups, colleagues, and significant contact persons (networking). 
Trainer input will provide the opportunity to gain new insights in effective communication and learn how to present themselves more effectively and to make the best impression and strongest impact.

Contents:
• Self-marketing: effectively promoting oneself (verbal business cards)
• Spontaneous small talk: informal chatting with a purpose
• Developing awareness skills
• Concise and effective introductions: make an impact!
• Body language focus

Methods:
• Theoretical sessions to highlight key aspects and strategies
• Role-play scenarios
• Hands-on exercises for practicing
• Both group and individual feedback
 
21.05.2025 - 23.05.2025
10:00 - 15:00
Theory & Methods
Compact Course “Introduction to Ito Processes: Theory and Simulations with Applications”
Compact Courses

Speaker: Assoc. Prof. Sanae Rujivan • Walailak University
Location: Mathematikon • Seminar Room 12, 5th floor • Im Neuenheimer Feld 205, 69120 Heidelberg
Registration: Please register here
Organizer: HGS MathComp
ECTS: 1
We are pleased to announce the compact course "Introduction to Ito Processes: Theory and Simulations with Applications," which will take place from May 21–23, 2025. This course consists of six lectures and includes practical exercises, coding sessions, and homework assignments. The classes will be held from 10:00 to 12:00 and 13:00 to 15:00.

Students enrolling in this course should have a solid background in the following mathematical topics:
• Mathematical Analysis
• Probability Theory
• Ordinary and Partial Differential Equations (ODEs & PDEs) - Note: the content will be made accessible for non-maths participants who do not have a strong background in ODEs/PDEs
• Numerical Methods for ODEs

Familiarity with at least one of the following programming languages is also required:
• Python
• MATLAB
• MATHEMATICA

This course introduces Ito processes, a fundamental class of continuous-time stochastic processes widely used in quantitative finance to model stock price dynamics. The course will cover two key methodologies for pricing financial derivatives:
1. Monte Carlo simulations, a probabilistic approach to estimating derivative prices.
2. The partial differential equation (PDE) approach, including applications of the Feynman-Kac theorem in pricing futures and options.
The course will focus on the Black-Scholes model and the Heston stochastic volatility model, which are essential for understanding modern financial markets.

Course Topics
• Introduction to Ito processes and their applications
• Stochastic differential equations (SDEs)
• Numerical methods for solving SDEs
• Monte Carlo (MC) simulations for financial modeling
• The Black-Scholes and Heston stochastic volatility models
• Computing futures and option prices using MC simulations
• Pricing derivatives using the PDE approach and the Feynman-Kac theorem
• Comparison of Monte Carlo simulations and the PDE approach
This course provides both theoretical foundations and practical implementations, making it ideal for students interested in stochastic processes, numerical methods, and financial mathematics.
 
22.05.2025
16:15
Theory & Methods
Science, Fiction: Uncovering Research Misconduct Without Eroding Trust
IWR Colloquium

Speaker: Jackson Ryan • Journalist in Residence 2025 at the Heidelberg Institute for Theoretical Studies (HITS)
Location: Mathematikon • Conference Room, Room 5/104, 5th Floor • Im Neuenheimer 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.

From accusations of plagiarism against Harvard's former president to the case of Stanford's Marc Tessier-Lavigne and over to the horrific case of Paolo Macchiarini's plastic windpipes -- scientific misconduct has exploded into the public eye in recent years. How can scientists and journalists cover such cases without undermining trust in the scientific process and our research institutions? Over the past five years, Jackson Ryan, HITS Journalist in Residence 2025, has been investigating cases of research misconduct at Australian universities, coming face to face with the problems in managing and investigating breaches. Along the way, he's learned some hard lessons about trust, transparency and the critical role watchdog journalists play in improving scientific practice.