Young Mathematicians Learn About the World of Work

Felix Klein Center for Mathematics organizes Math Talent School 2025

What does the professional world of a mathematician look like, and what exactly is applied mathematics? Interested students from MINT-EC schools will find out at our institute from November 3 to 7, 2025. Our Math Talent School is organized by the Felix Klein Center for Mathematics. 

The 22 young people in the eleventh and twelfth grades will work in teams throughout the week on various problems using mathematical modeling and computer simulation. Before they started, they were allowed to choose one of the four projects they would most like to work on, after which mathematics decided which project they would end up in. The choices were:

  1. Fidgety little particles – from “random walk” to diffusion
  2. How can fraud in healthcare be detected?
  3. Smart city traffic: mathematical optimization of bus routes and rail networks
  4. New construction of the Otterbach rescue station: where is the best location?

The results of the work are processed in teams and presented and discussed together at the end of the Math Talent School. In addition, participants will gain various insights into our institute and the Department of Mathematics at the Rhineland-Palatinate Technical University of Kaiserslautern-Landau (RPTU). There, they will learn about studying mathematics, for example.

On this page, we collect impressions and statements about the Math Talent School 2025.

Project Groups

The four project topics are as diverse as they are fascinating – and the best part is that each one ties directly into current research areas in Applied Mathematics!

Fidgety Little Particles – From »Random Walk« to Diffusion

Math Talent School Group »Fidgety Little Particles«
© Fraunhofer ITWM
Math Talent School Group »Fidgety Little Particles«

Ecosystems consist of living  and non-living components whose populations form a community. But what laws govern the dynamics of these fascinating systems? And how do predator and prey species interact with each other?

Simulation of Populations

In this project, students explore mathematical models that describe how populations develop. Starting with intuitive growth models for a single species and progressing to the interactions within predator–prey systems, they work to describe, understand, and simulate these relationships using computer models.

The group is supervised by Dr. Torben Fattler and Nathalie Steil from the »Functional Analysis and Stochastic Analysis« research group in the Department of Mathematics at RPTU.

You can find more information about the »Functional Analysis and Stochastic Analysis« research group here.

How Can Fraud in Healthcare Be Detected?

Math Talent School Group »Healthcare«
© Fraunhofer ITWM
Math Talent School Group »Healthcare«

Detecting fraud in the healthcare sector is often a lengthy and complex process – especially because many documents are handwritten, making case investigations particularly challenging.

In this project, participants aim to automatically extract information from scanned forms. They then apply mathematical rules to identify suspicious patterns and uncover potential irregularities. The key questions include:

  • Can AI help simplify the work of investigators?
  • What clues might indicate possible forgeries?
  • Is it possible to reduce human error when a machine automatically flags suspicious details?

The group is supervised by Indira Dhar from the »Analytics and Computing« division at Fraunhofer ITWM.

Find out more about our division here

Smart City Transportation: Mathematical Optimization of Bus Routes and Rail Networks

Math Talent School Group »Smart City Transportation«
© Fraunhofer ITWM
Math Talent School Group »Smart City Transportation«

Why does the bus sometimes take forever to arrive – only for three to show up at once? In this project, participants set out to uncover the mysteries of public transportation and become true traffic detectives.

Synthetic Images for Defect Analysis

Participants develop mathematical models to understand and improve transportation networks. Using graph theory and optimization methods, they analyze how stops and routes can be represented as nodes and edges. In Python, they program their own algorithms to find the optimal balance between cost, passenger satisfaction, and network coverage.

The goal is to design solutions that are both efficient and realistic – demonstrating how mathematics can transform chaos into structure.

The group is supervised by Michael Rihlmann from the »Mathematics for Vehicles, Systems, and Plants« department at Fraunhofer ITWM.

Find more about our division here.

New Construction of the Otterbach Rescue Station: Where Is the Best Location?

Math Talent School Group »Otterbach Rescue Station«
© Fraunhofer ITWM
Math Talent School Group »Otterbach Rescue Station«

In an emergency, every minute counts – because lives are at stake. But how can we ensure that emergency responders reach the scene as quickly as possible without putting themselves at unnecessary risk?

In this project, participants focus on the mathematical planning of emergency station locations. Using the example of the Otterbach rescue station, which no longer meets current requirements, they investigate whether rebuilding at the same site makes sense – or if there’s a strategically better location.

To do this, they learn to use the geographic information system QGIS, which allows them to visualize and analyze real-world geographic data. Based on emergency response data from 2023, they calculate different scenarios, compare travel times, and determine which location would provide the best possible coverage for emergencies.

The group is supervised by Sabrina Thielen from the Optimization research group in the Department of Mathematics at RPTU.

The group is supervised by Sabrina Thielen from the »Optimization« working group of the »Mathematics« department at RPTU.

More information about the RPTU's »Optimization« working group can be found here.

Insights Into the Math Talent School 2025

»The Math Talent School is the absolute best way to meet like-minded people who are also passionate about STEM.«

In our four teams, students from all across Germany have come together. What unites them is their shared enthusiasm for mathematics, physics, and computer science. In the following profiles, we’ll introduce one young talent from each team. Our student colleague, Isayas Haile, interviewed them:

Math Talent School 2025 Ana Interview
© Fraunhofer ITWM
Math Talent School 2025 Ana Interview

Ana: Logical Thinking and Teamwork – Shaping the Future with Math and Computer Science

Ana is 17 years old and a twelfth-grade student at Rupprecht-Gymnasium in Munich. Her enthusiasm for mathematics and computer science inspired her to apply to the Math Talent School. She’s especially fascinated by the combination of these two fields and hopes to study them later on. By taking part in the Math Talent School, Ana hopes to gain valuable insights into study programs and future career opportunities.

What she enjoys most about math is logical thinking and solving complex problems. For her, it’s not just about calculations, but rather »a way to develop creative solutions,« she said enthusiastically. During her week at the Fraunhofer ITWM, Ana learned that real-world applications involve far more than just number-crunching. Above all, working in a team showed her how exciting and varied mathematics can be.

A real highlight of the week for her was the project on the programming language Python. »We worked on optimizing traffic flow. I also really enjoyed exchanging ideas with others who share my interests, since I was able to make lots of new connections,« she said. The experience strengthened her desire to combine mathematics and computer science in her future studies.

Jakob: Mathematics, Python, and Aviation – From Theory to Practical Application

akob’s motivation to take part in the Math Talent School was mainly to learn more about mathematics and Python. By working on challenging projects and gaining new knowledge, he wanted to take his skills to the next level. In his motivation letter, he emphasized his interest in applying mathematics and computer science – especially in using programming languages to solve real-world problems.

For the 18-year-old, mathematics is particularly fascinating because it serves as a tool to understand and model complex systems. The week at the Math Talent School showed him how mathematics and computer science can be combined to tackle realistic questions. A highlight for him was the project on »Simulating the Motion of Particles in Water.« In his group, he not only learned a lot about the mathematics behind those movements but also how Python can be used to compute them.

»The Math Talent School is the absolute best way to meet like-minded people who are also interested in STEM. There are lots of projects and even games where you get to know each other even better,« Jakob said enthusiastically. 

Looking ahead, he is particularly interested in studying aerospace engineering and is considering pursuing his degree in Munich. 

Math Talent School 2025 Jakob Interview
© Fraunhofer ITWM
Math Talent School 2025 Jakob Interview
Math Talent School 2025 Mohamed Interview
© Fraunhofer ITWM
Math Talent School 2025 Mohamed Interview

Mohammad: Creative Problem-Solving with Math – From Functions to Emergency Stations

Mohammad, also called Mete, is 17 years old and comes from Erfurt. His enthusiasm for mathematics and the opportunity to combine it with computer science motivated him to participate in the Math Talent School. »With math, you can explain a lot; it’s your path to a solution. I enjoy functions and curve discussions the most,« he said.

For Mete, mathematics is not just a collection of formulas and rules, but a creative process that allows him to find new ways to solve complex problems. The Math Talent School opened his eyes to math not only as a theoretical subject but also as a practical tool for problem-solving. He found the game session particularly exciting, where he realized how closely math, strategy, and communication are connected.

During the week, Mete not only expanded his mathematical skills but also gained valuable insights into career opportunities at Fraunhofer ITWM. He found the project on determining the location for a new emergency station especially interesting, where math and programming played a central role. Regarding his future, he said: »I can well imagine studying mathematics and physics at RPTU in Kaiserslautern. I’ve heard a lot of good things about the scholarships and the professors, and I appreciate the open, collaborative atmosphere.«

Gracia: Mathematics in Practice – From Fraud Analysis to the STEM Community

»My name is Gracia, I’m from Würzburg, and I decided to participate in the Math Talent School because I’ve always had a strong interest in mathematics and computer science, and I’m currently on holiday. I’ve already taken part in other STEM camps, and those experiences have strengthened my enthusiasm for science subjects,« the 16-year-old explained. Gracia hopes to dive even deeper into these topics during this intensive week.

»There aren’t opportunities like this near where I live, and seeing it connected with Fraunhofer is very interesting and practical.« Gracia is especially fascinated by computer science because it offers a way to solve problems systematically and in a structured way. During her time at the institute, she was able to see how mathematics is applied in different professional fields, and she particularly enjoyed the hands-on workshops.

Beyond the academic content, Gracia emphasized: »The social activities were really exciting, like the mentoring course, the night hike, and the games we played together in the evenings. For the future, I plan to pursue a science- or math-related degree after finishing high school. I could well imagine studying at RPTU.« She found her project on analyzing fraud in the healthcare system especially engaging, saying, »It has a direct connection to the real world, and I really enjoy programming.«

Math Talent School 2025 Gracia Interview
© Fraunhofer ITWM
Math Talent School 2025 Gracia Interview

We wish all the talents the best of luck on their Abitur and hope to see them again in Kaiserslautern soon!