Benedikt Petko, PhD
Quantitative Researcher
Trained mathematician with strong research and problem solving skills and two years of work experience as a quantitative researcher.
About
I work as a quantitative researcher at Quantica Capital, an investment manager based in Zürich, Switzerland. I started my full-time career in quantitative finance at Man AHL in London.
I completed my PhD in mathematics at Imperial College London in Spring 2024. In my research, I studied an intersection of probability theory, Riemannian and discrete geometry. During my PhD studies, I also completed a summer internship at G-Research in 2022.
Prior to that, I graduated with MSci degree in mathematics at Imperial College London in 2019.
Skills & Tools
Bio
I am a mathematician and quantitative researcher based in Zürich, Switzerland.
In spring 2024 I completed my PhD in mathematics at Imperial College London with my thesis titled 'Coarse Intrinsic and Extrinsic Curvature in Riemannian geometry', supervised by Prof Xue-Mei Li.
In 2019 I graduated with a First Class degree in mathematics (MSci) at Imperial College London with my thesis 'Whitney Extension Theorem for Regularity Structures' (see my academic work below), supervised by Prof Martin Hairer.
I grew up in a small village near Brno, Czech Republic. In 2015, upon graduating from a state grammar school in Brno, I received the competitive scholarship of the Bakala Foundation, which enabled me to move to London to attend Imperial College.
Academia
I completed my PhD in mathematics at Imperial College London in Spring 2024, working in the intersection of probability theory, Riemannian and discrete geometry. My thesis is titled 'Coarse Intrinsic and Extrinsic Curvature in Riemannian Geometry'.
Papers
- Coarse extrinsic curvature of Riemannian submanifolds
European Journal of Mathematics
The second article of my PhD, on the coarse extrinsic curvature of Riemannian submanifolds and point cloud approximations.
- Coarse Ricci curvature of weighted Riemannian manifolds
Transactions of the American Mathematical Society
The first article of my PhD, on the coarse Ricci curvature of weighted Riemannian manifolds and convergence of curvature of random geometric graphs.
- Coarse curvature by optimal transport
PDF
My Early Stage PhD report on coarse curvatures by optimal transport.
- Whitney Extension Theorem for Regularity Structures
PDF
My MSci thesis, supervised by Prof Martin Hairer. It extends Whitney's 1934 result, that a smooth function defined on a closed subset of a Euclidean space can be smoothly extended with a continuous extension operator, to modelled distributions in Hairer's theory of regularity structures.