Research publications

Preprints

• Carleman approximation on Riemann surfaces without critical points, preprint, 2025, (arxiv)

Other publications

• Dvaintrideseto mednarodno tekmovanje študentov matematike, Obzornik Mat. Fiz., 72 (2025), no. 2, pp. 77--vii, (journal)

• Kvazikonformna kirurgija in Hermanovi kolobarji, Proceedings of Konferenca slovenskih matematikov 2023, (2024), pp. 89--90, (proceedings)

Talks

• Konferenca slovenskih matematikov, Koper, September 2025: Carleman approximation without critical points (slides)

• Topics in complex dynamics, Barcelona, June 2025: Carleman approximation without critical points (slides)

• KAUS, Reykjavík, May 2025: Carleman approximation without critical points (slides)

• Complex Analysis seminar, University of Ljubljana, April 2025: Carleman and Arakelyan approximation without critical points (slides, video)

• DAGGER seminar, Warwick University, February 2025: A beginner’s guide to quasiconformal folding (slides)

• HOLODYN seminar, University of Barcelona, November 2024: A beginner’s guide to quasiconformal folding 

• Reading group - Dessins d'Enfants on Riemann Surfaces, University of Ljubljana, May 2024: The extended Riemann mapping theorem (video)

• Complex Analysis seminar, University of Ljubljana, November 2023: On quasiconformal folding and Runge approximation

• Complex Analysis seminar, University of Ljubljana, November 2022: Quasiconformal surgery and Herman rings

Conferences and Summer / Winter schools

• Konferenca slovenskih matematikov 2025, 12.-13. 9. 2025, Koper, Slovenia

I was an organiser of the conference and I also gave a talk at the youth section.

• Complex Analysis, Geometry, and Dynamics VI, 16.-20. 6. 2025, Portorož, Slovenia

I attended the conference.

• Dynamical Developments: Degenerations of Flat Surfaces and Rational Map, 10.-13. 6. 2025, Toulouse, France

I attended the conference.

• Topics in complex dynamics 2025, 2.-6. 6. 2025, Barcelona, Spain

I gave a talk at the summer school.

• KAUS and NORDAN 2025, 22.-25. 5. 2025, Reykjavík and Hella, Iceland

I gave a talk at the youth conference KAUS and attended NORDAN.

• Complex Analysis, Geometry, and Dynamics III, 10.-14. 6. 2024, Portorož, Slovenia

I attended the conference.

• Parameter spaces in complex dynamics and related topics, 27.-31. 5. 2024, Pisa, Italy

I presented a poster at the conference. (poster)

• Konferenca slovenskih matematikov, 15.-16. 9. 2023, Bled, Slovenia

I presented a poster at the conference. (poster)

• Positivity XI, 10.-14. 7. 2023, Ljubljana, Slovenia

I helped the organizers with the conference. 

• Mathematics in Ljubljana, 2.-8. 7. 2023, Ljubljana, Slovenia

I attended the summer school.

• Topics in complex dynamics 2023, 19.-23. 6. 2023, Barcelona, Spain

I attended the summer school.

Activities

• I am currently the team leader for the International Mathematics competition (IMC) team of the University of Ljubljana.

• I coorganized the conference Konferenca slovenskih matematikov 2025, where I was in charge of the youth section.

• Since 2023 I am lecturing at summer and winter schools for high school students organized at the University of Ljubljana. Here is one of the most recent one.

Teaching

• Autumn Term 2024: Teaching assistant for Analysis 1 - Financial mathematics

Education

I completed my Bachelor's and Master's degrees (2019-2022 and 2022-2024 respectively) in mathematics at the Faculty of Mathematics and Physics at the University of Ljubljana in Slovenia. 

My Bachelor's thesis is titled Quasiconformal surgery and Herman rings. The thesis covers the construction of a rational map with a Herman ring using quasiconformal surgery. It received the faculty Prešeren award in the year 2022. (thesis)

My Master's thesis is titled To Runge approximation via quasiconformal folding. The thesis is on quasiconformal folding and how it can be used to show an improved version of the classical Runge approximation theorem, which gives additional control over critical values and critical points of the approximating polynomial. It received the faculty Prešeren award in the year 2024. (thesis)