Petar Orlić

Welcome

I am currently a teaching assistant at the Department of Mathematics, University of Zagreb. My field of interest is Number Theory, especially Arithmetic Geometry.

Contact

• Address: Department of Mathematics, University of Zagreb, Bijenička cesta 30, Zagreb, Croatia
• Office: 212
• Email: petar.orlic@math.hr

Teaching/Nastava

U akademskoj godini 2024/2025 držim vježbe iz ovih predmeta:

• Kombinatorna i diskretna matematika
• Osnove algoritama
• Teorija brojeva

Publications and Preprints

1. (with M. Derickx) Morphisms on the modular curve \(X_0(p)\) and degree 6 points
   Preprint

2. (with M. Derickx) Intermediate modular curves with infinitely many quartic points
   Preprint

3. (with M. Derickx, W. Hwang, and D. Jeon) Modular curves \(X_0(N)\) of density degree 5
   Preprint

4. Tetragonal intermediate modular curves
   Preprint, to appear in Acta. Arith

5. Tetragonal modular quotients \(X_0^{+d}(N)\)
   J. Number Theory 276 (2025), 98-114

6. Tetragonal modular quotients \(X_0^+(N)\)
   Acta Arith. 217 (2025), 261-275

7. (with M. Derickx) Modular curves \(X_0(N)\) with infinitely many quartic points
   Res. number theory 10, 42 (2024)

8. (with F. Najman) Gonality of the modular curve \(X_0(N)\)
   Math. Comp. 93 (2024), 863-886

PhD Thesis

Gonality of modular curves and their quotients [pdf]

Talks

1. Gonality of modular curves, 33emes Journées Arithmétiques, Luxembourg, July 2025
2. Tetragonal intermediate modular curves, Representation Theory XIX, Dubrovnik, June 2025
3. Gonality of the modular curve \(X_0(N)\) and its quotients, 8th Croatian Mathematical Congress, Osijek, July 2024
4. Gonality of the modular curve \(X_0(N)\), 2024 Algebra Camp, Yangpyeong, South Korea, February 2024
5. Gonality of modular curves and their quotients, 2024 Workshop on Number Theory and Algebra, Daejeon, South Korea, February 2024
6. Gonality of modular curves and their quotients, Modular curves and their arithmetic, Warwick, UK, December 2023
7. Modular curves \(X_0(N)\) with infinitely many quartic points, Modular curves and Galois representations, Zagreb, September 2023
8. Gonality of modular curves (short talk), Conference for Young Number Theorists in Bonn, Bonn, Germany, September 2023
9. Modular curves \(X_0(N)\) with infinitely many quartic points, Representation Theory XVIII, Dubrovnik, June 2023
10. Gonality of the modular curve \(X_0(N)\), Representation Theory XVII, Dubrovnik, October 2022