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.
- 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:
Publications and Preprints
(with M. Derickx)
Morphisms on the modular curve \(X_0(p)\) and degree 6 points
Preprint
(with M. Derickx)
Intermediate modular curves with infinitely many quartic
points
Preprint
(with M. Derickx, W.
Hwang, and D. Jeon) Modular curves \(X_0(N)\) of density degree 5
Preprint
Tetragonal
intermediate modular curves
Preprint, to appear in Acta. Arith
Tetragonal
modular quotients \(X_0^{+d}(N)\)
J. Number Theory 276 (2025), 98-114
Tetragonal
modular quotients \(X_0^+(N)\)
Acta Arith. 217 (2025), 261-275
(with
M. Derickx) Modular curves \(X_0(N)\)
with infinitely many quartic points
Res. number theory 10, 42 (2024)
(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
- Gonality of modular curves, 33emes Journées
Arithmétiques, Luxembourg, July 2025
- Tetragonal intermediate modular curves, Representation
Theory XIX, Dubrovnik, June 2025
- Gonality of the modular curve \(X_0(N)\) and its quotients, 8th Croatian Mathematical
Congress, Osijek, July 2024
- Gonality of the modular curve \(X_0(N)\), 2024
Algebra Camp, Yangpyeong, South Korea, February 2024
- Gonality of modular curves and their quotients, 2024
Workshop on Number Theory and Algebra, Daejeon, South Korea,
February 2024
- Gonality of modular curves and their quotients, Modular
curves and their arithmetic, Warwick, UK, December 2023
- Modular curves \(X_0(N)\) with
infinitely many quartic points, Modular
curves and Galois representations, Zagreb, September 2023
- Gonality of modular curves (short talk), Conference for Young
Number Theorists in Bonn, Bonn, Germany, September 2023
- Modular curves \(X_0(N)\) with
infinitely many quartic points, Representation
Theory XVIII, Dubrovnik, June 2023
- Gonality of the modular curve \(X_0(N)\), Representation
Theory XVII, Dubrovnik, October 2022