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Meet the NextGen scholars: Tobias

16 April 2026
  • NextGen

Meet the Scholars – a blog series celebrating the talented students supported by G-Research scholarships. These awards form a key part of our NextGen initiative, which is dedicated to nurturing the next generation of researchers in STEM and AI/Machine learning (ML).

These stories spotlight the individuals driving the future of research: their academic journeys, areas of focus and what the opportunity means to them. In this edition, we meet Tobias, who has started his Mathematics PhD at the University of Oxford.

I'm studying for PhD in, in Oxford in mathematics. And last year I was also studying in Oxford for my master in Mathematical and computational finance. And before that I was doing my undergrad at the University of Heim in Germany. My research is concerned with the approximation of high dimensional functions and partially through differential equations in particular. And I'm basically trying to combine classical numerical methods with deep learning and hope to combine the advantages that both methods have and get the best out of both words. I've, um, always been interested in the theoretical foundations and concepts of mathematics on one hand and also practical applications on, on the other hand. And so when the opportunity opened up to study in an applied field of mathematics like machine learning, uh, also with possible applications in finance or physics, this was the perfect opportunity for me.
Open video transcript

Tobias’ journey so far

“My research focuses on the approximation of high-dimensional functions and partial differential equations.”

Tobias’ work is motivated by challenges that arise when mathematical models scale beyond a small number of dimensions – a common issue in real-world applications.

“In areas like finance, for example, option pricing often depends on several underlying assets and additional risk factors. Classical numerical methods struggle here because of the curse of dimensionality, where computational cost grows exponentially with each added dimension.”

While deep learning methods offer a potential way forward, Tobias is interested in addressing their limitations.

“Although neural networks can theoretically overcome the curse of dimensionality, they often require extensive tuning and can fail for difficult problems. My research looks at how we might combine the strengths of classical numerical methods – such as guaranteed convergence and interpretability – with the flexibility and expressivity of neural networks.”

From curiosity to contribution

At the core of Tobias’s PhD is the ambition to develop methods that are both mathematically sound and practically useful.

“One concept I’d like to explore in more depth is building hybrid systems that combine the rigorous guarantees of numerical methods with the power of neural networks. This would make the methods more explainable, without losing the flexibility that makes neural networks so effective.”

For Tobias, research impact sits at the intersection of theory and application.

“To me, impact means working on concepts that are mathematically well understood and explainable, but that also apply to real-world problems beyond academia.”

Looking ahead, Tobias hopes his work will provide lasting value to the wider research community.

“I’d consider it a success if my research contributes a reliable method to the community’s toolkit – something that other researchers and practitioners can confidently build on.”

Opening doors through NextGen

As a G-Research Scholar, Tobias is looking forward to being part of a broader research community and gaining insight into how theory is applied in practice.

“I’m particularly excited about connecting with other PhD students across the UK and learning about their work, as well as seeing how mathematics and machine learning are used in the rigorous, pragmatic way required in quantitative finance.”

What is G-Research NextGen?

With a mission to solve the world’s most complex challenges, we’re committed to shaping the future of research and innovation.

Through G-Research NextGen we will work with academic partners, educational organisations and charities to help support the next generation of STEM talent.

Learn more

Quickfire with Tobias

A concept in mathematics more people should know about?

The Central Limit Theorem and, importantly, its limitations. Understanding when its assumptions break down is crucial, especially in areas like finance.

Favourite way to unwind?

Playing badminton or the piano – depending on whether I need a physical or a creative outlet.

One word to describe your research philosophy?

Pragmatism.

What does research impact mean to you?

Developing methods that are mathematically sound, explainable, and useful for real-world problems.

What are you most looking forward to as a G-Research Scholar?

Learning from other PhD students and gaining exposure to how mathematics and machine learning are applied in practice.

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