Software Engineer, Ph.D. in Mathematics

Welcome!

I'm a software engineer and a mathematician.

I worked as Junior Game Engine Programmer at Crytek.

In March 2022, I obtained my Ph.D. in Mathematics at the University
of Münster, where I did research in topology.

You can find my latest coding projects
below.

I'm interested in low latency techniques, computer graphics, functional
programming and low level stuff (I love peeking inside black boxes to
understand how they work).

I'm also into music, gaming, cinema and visual arts.

Projects

FSVF stands for Fast Small Vectors of Floats, and is (currently only a draft of) a SIMD library for single-precision 3D and 4D linear algebra, heavily optimized for desktop x86_64 CPUs.

An emulator/interpreter for Chip-8, written in Rust. The core library, Chip8-Core, is entirely platform-agnostic, while Chip8-Desktop is a full implementation for Linux and Windows.

A ray tracing renderer built from scratch in C++, aimed at rendering static glTF 2.0 scenes. The rendering algorithm is based on Monte Carlo path tracing and can currently handle arbitrary triangle meshes and several non-textured physically based reflective materials.

An AI engine for a highly branched variant of tic-tac-toe called "ultimate tic-tac-toe" (Wikipedia page), written in Haskell, with a minimalistic CLI to play against it. The AI is implemented using a reinforcement learning algorithm, Monte Carlo Tree Search (MCTS).

Papers

A paper where I extended to the homotopy coherent setting
a classical result in commutative algebra and used it to define a
homotopy coherent notion of logarithmic derivative.

Preprint (submitted).

A paper where I analyzed in depth the homotopy coherent analogue
of the ordinary notion of (co)chain complex. The main results give
comparisons with the notion of filtered objects in the stable case,
and a deformation-theoretic characterization (depending on a
result of
Achim Krause)
in terms of vanishing of higher Toda brackets. I also discuss
a bunch of nice relations with other homotopy-theoretic objects.

Preprint (submitted).