Research publications

Preprints

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

Other publications

• Carleman approximation without critical points, Proceedings of Konferenca slovenskih matematikov 2025, (2025), pp. 16--19 (proceedings)

• 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.

Teaching

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

• Autumn Term 2023: Student assistant for Computer Laboratory and Mathematics 1 - Physics 

• Autumn Term 2022: Student assistant for Computer Laboratory

• Autumn Term 2021: Student assistant for Computer Laboratory

Recent activities

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

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

Past activities

• From 2020 to 2024, I was part of the tutoring program at the Faculty of Mathematics in Ljubljana. It's a voluntary program where senior students help their younger colleagues with any math or study-related problems they might have. I was also one of the co-leaders of the program in 2024.

• Since 2023, I have been lecturing at summer and winter schools for high school students organized by the University of Ljubljana.

• I helped out at the conference Positivity XI, which was held in Ljubljana, Slovenia in 2023.

• I was a guide at the 2023 European Girls' Mathematical Olympiad (EGMO), which was held in Portorož, Slovenia.

• Since 2022, I have been grading the national mathematics competition for high school students.

• I helped create the platforms e-Matura and e-Znanje. These are online platforms that Slovenian high school students can use to prepare for the national end-of-high school examination, the matura exam.

• Since 2018, I have been teaching LEGO robotics to elementary and high school students. I was also a coach for LEGO robotics competitions, such as FIRST LEGO League (FLL) or World Robot Olympiad (WRO). Nowadays, I act as a judge at national and international LEGO robotics competitions.

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)