Luka Marčič

Last updated: 17.6.2026

Bio

Hello, I am Luka Marčič, a first year PhD student and young researcher at the Faculty of Mathematics and Physics, University of Ljubljana in Slovenia. My areas of interest in mathematics are centered around low dimensional geometric topology, particularly knot and link theory and connections between link theory and the study of 3 and 4-dimensional manifolds. My PhD mentor is dr. Eva Horvat.

In my personal life, I enjoy rock climbing, playing DnD, cooking and listening to various genres of electronic music.

CV

• CV (English)
• CV (Slovenski)

Contact info

• Email: [email protected]
• Office (I am usually present every day between 8:30 and 17:30, minus meetings, teaching hours and a lunch break):
  • Monday - Wednesday: Faculty of Mathematics and Physics, J21 106
  • Thursday - Friday: Faculty of Education, P033

Mathematical research

No publications yet.

Preprints:

• The fundamental quandle of ribbon concordances (joint work with Eva Horvat) arXiv link

Theses:

• Master's thesis (mentor: dr. Eva Horvat): Milnorjeve invariante za splete (Milnor's link invariants)
• Bachelor's thesis (mentor: dr. Sašo Strle): Kvandli, algebraične vozelne invariante (Quandles, algebraic knot invariants)

Conference participation:

• Young topologists meeting, Copenhagen, June/July 2026 (poster: Ribbon concordance quandles )
• Geometry and topology in low dimensions, Budapest, June 2026 (poster: Ribbon concordance quandles )
• Khovanov and Floer homotopy, Nantes, May 2026
• Winter braids XV, Marseille, March 2026
• Konferenca slovenskih matematikov, Koper, September 2025, (Talk: How to measure linking)
• Knots & proteins, Bologna, May 2025, (Talk: Link homotopy and Milnor's invariants)
• Knots & proteins, Ljubljana, February 2024

Teaching

Academic year 25/26: TA for "Osnove linearne algebre" (Linear algebra course).