| Position: | Senior Data Platform Engineer & Consultant (Xebia) / Independent Researcher |
| Research areas: | Computability, Computable Analysis, Topology, Numerical Linear Algebra, Representation Theory |
| Location: | Amsterdam, Netherlands |
| Degree: | Ph.D. Mathematics, University of Zagreb (2015) |
| Blog: | The Hitchhiker's Guide to Computable Mathematics |
| Email: | kburnik (at) gmail (dot) com |
| GitHub: | github.com/konradburnik |
| LinkedIn: | linkedin.com/in/konrad-burnik |
I am a Senior Data Engineer and Consultant at Xebia in Amsterdam, originally from Zagreb, Croatia. I hold a Ph.D. in Mathematics from the University of Zagreb, where my doctoral thesis studied the computability of non-compact 1-manifolds in computable metric spaces.
In my spare time I actively research questions at the intersection of computability theory, topology, and linear algebra. I'm currently interested in how finite group representations inform the computability of structured matrix problems, as well as extending computability results for metric bases. Previously I have worked at Amazon, Fourthline, ZOLA Electric, and Spil Games. I also follow developments in quantum computing, post-quantum cryptography, and AI, particularly where they intersect with mathematical foundations.
My research investigates the role of algebraic structure in numerical linear algebra, along two complementary lines. First, I study when algebraic structure renders non-computable problems in real computation computable, with my current focus on finite group representations and their connection to Type-2 computable analysis. Second, I am interested in how algebraic structure can be exploited to design faster numerical algorithms, as in the case of structure-preserving matrix factorizations. These two threads are connected: understanding why a structured algorithm works often reveals what makes the underlying problem computable in the first place. In parallel, my long-standing collaboration with Zvonko Iljazović continues to explore computability of topological objects — manifolds, rays, and metric bases — in computable metric spaces.
I continue to actively research in my spare time alongside my consulting work. In 2024, I presented joint work with Z. Iljazović and L. Validžić on Computability of One-point Metric Bases at the CCA 2024 conference in Swansea and attended the CiE 2024 conference in Amsterdam. In 2025, I attended the 60th Netherlands Mathematical Congress. My earlier work on structure-preserving QR factorizations for centrosymmetric matrices continues to inspire new results, most recently perturbation bounds studied by Farooq et al. (2025). Currently, I am exploring the computability of universal block-diagonalization for structured matrix classes arising as commutants of finite group representations, connecting representation theory with Type-2 computable analysis. If any of these topics overlap with your interests, I'd be glad to hear from you.
Full list on Google Scholar, ResearchGate, and ORCID.
The best way to reach me is by email: kburnik (at) gmail (dot) com. You can also find me on MathOverflow, GitHub, and LinkedIn.
Last updated: May 2026