Mathematical interests
- Differential equations — particularly stochastic and deterministic equations and their applications to real-world mathematical models.
- Financial modelling — using mathematical methods to describe and analyse problems arising in financial and economic settings.
- Complex analysis — with a particular interest in univalent functions, conformal mappings, and approximation theory.
- Probability and statistics — both as theoretical subjects and as practical tools for analysing data and quantifying uncertainty.
- Applied and computational mathematics — exploring connections between different areas of mathematics and applying theoretical ideas to practical problems.
Projects
- Gathering data on arbitrage trades in virtual items
- Market making for virtual items
- Developing this website
Hobbies
Outside of mathematics, I enjoy following and learning about equity and bond markets as well as financial derivatives. I also have a strong passion for cars and enjoy home renovation projects as a contrast to the theoretical nature of my work.
Latest
Blog post
A place for broader ideas
A flexible space for thoughts, projects, experiments, and works that do not quite belong in an article or set of notes.
Report
A chasing game between a dog and his owner
A report that was written as a part of the Mathematical modeling course which concerns pursuit curves and their numerical solving as well as analysing the time to collision in cases with given initial conditions.
Note
Functional Data Structures: Banker's Queue
PSA-2 — Amortized analysis under persistence
Article
Numeric Computations of Landau's constant
A 2025 paper presented at the SCORES 2025 conference at the Faculty of Computer and Information Science (FRI) on numeric computations of Landaus constant
Skills
Languages
- SlovenianNative
- EnglishC2
- GermanB2
Programming & tools
- Python
- Rust
- Ocaml
- Haskell
- Lean
- Matlab
- SQL
- Mathematica
- LaTeX
- HTML
- CSS
Analytical
- Analytical thinking
- Problem solving
- Attention to detail
- Digital literacy
Interpersonal
- Communication
- Teaching and tutoring
- Team work and leadership
- Reliability
Publications
Matija Derganc and Luka Urbanč. 2025. Numeric Computations of Landau's Constant. In Proceedings of the 11th Student Computing Research Symposium (SCORES'25), Ljubljana, Slovenia.
Cite · BibTeX
@inproceedings{urbanc2025landaus, author = {Matija Derganc and Luka Urbanč}, title = {{Numeric Computations of Landau's Constant}}, booktitle = {Proceedings of the 11th Student Computing Research Symposium (SCORES'25)}, year = {2025}, address = {Ljubljana, Slovenia}, publisher = {University of Ljubljana, Faculty of Computer and Information Science}, isbn = {978-961-7059-18-2}, doi = {10.51939/scores25}, url = {https://zalozba.fri.uni-lj.si/SCORES2025.pdf} }Luka Urbanč, Marko Grobelnik, Joao Pita Costa, and Luis Rei. 2024. Predicting Poverty Using Regression. In Information Society 2024 (IS 2024), SiKDD, Ljubljana, Slovenia.
DOI: 10.70314/is.2024.sikdd.20PDF
Cite · BibTeX
@inproceedings{urbanc2024predicting, author = {Urbanč, Luka and Grobelnik, Marko and Pita Costa, Joao and Rei, Luis}, title = {{Predicting Poverty Using Regression}}, booktitle = {Information Society 2024 (IS 2024), SiKDD}, year = {2024}, address = {Ljubljana, Slovenia}, doi = {10.70314/is.2024.sikdd.20} }Joao Pita Costa, Marko Grobelnik, Luka Urbanč, Jan Sturm, Matej Kovačič, Matej Senožetnik, John Shawe-Taylor, and Dunja Mladenič. 2024. An AI-driven Observatory Against Poverty. International Research Centre on Artificial Intelligence (IRCAI) under the auspices of UNESCO and Artificial Intelligence Lab, Jožef Stefan Institute. Scientific report, 4 October 2024.
Cite · BibTeX
@techreport{urbanc2024an, author = {Pita Costa, Joao and Grobelnik, Marko and Urbanč, Luka and Sturm, Jan and Kovačič, Matej and Senožetnik, Matej and Shawe-Taylor, John and Mladenič, Dunja}, title = {{An AI-driven Observatory Against Poverty}}, institution = {International Research Centre on Artificial Intelligence (IRCAI) under the auspices of UNESCO and Artificial Intelligence Lab, Jožef Stefan Institute}, year = {2024}, note = {Scientific report, 4 October 2024} }
Experience
Market Data Analyst
GEN-I
Mar 2025 – Oct 2025
- Developed and tested trading strategies for CEE day-ahead markets in collaboration with traders
- Developed graphical interfaces for data visualization
- Analysed trends in CEE day-ahead markets
Teaching Assistant
University of Ljubljana, Faculty of Mathematics and Physics
Feb 2025 – Jun 2025
- Led additional tutorials for lower-year students in the Physics I course
- Explained the use of mathematical tools for solving physics problems
- Helped prepare students and improves overall grades for the course
Artificial Intelligence Researcher
Jožef Stefan Institute
Jun 2024 – Oct 2024
- Applied various machine learning models to identify attributes associated with poverty indicators
- Authored and co-authored research papers on poverty and machine learning
- Introduced the use of transfer entropy at the Jožef Stefan Institute
Education
Bachelor's Degree in Mathematics
University of Ljubljana
Oct 2023 – Sept 2026
A Bachelor's Degree in Mathematics from the Faculty of Mathematics and Physics, completed with an exceptionally high overall average grade.
Matura
Gimnazija Ledina
Sept 2019 – May 2023
A well respected grammar school in Ljubljana, which ended in a national exam (Matura) where I scored 34/34 points and received numerous awards.
Other certificates
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Jan 2026
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