Number theory and arithmetic geometry

 

  Project information
Research project no. HRZZ IP-2022-10-5008 funded by the Croatian Science Foundation (HRZZ)
Hosting organization: Faculty of Science (PMF), University of Zagreb
Project duration: 48 months (from December 31, 2023 to December 30, 2027)
Total amount of funding: 166022.97 EUR
 
  Project summary
The project coordinates and supports the research activities of the Croatian number theory and arithmetic geometry group. Research topics are: Arithmetic of modular curves, Diophantine D(n)-m-tuples, Diophantine approximations, Application of deep learning in number theory and Congruences for sporadic sequences and modular forms.
 
  Principal investigator
  • Filip Najman, professor, Department of Mathematics, Faculty of Science, University of Zagreb
  Team members
  • Nikola Adžaga, assistant professor, Faculty of Civil Engineering, University of Zagreb
  • Alen Andrašek, PhD student, Faculty of Civil Engineering, University of Zagreb
  • Marija Bliznac Trebješanin, assistant professor, Department of Mathematics, Faculty of Science, University of Split
  • Sanda Bujačić Babić, assistant professor, Faculty of Mathematics, University of Rijeka
  • Maarten Derickx, postdoc, Faculty of Science, University of Zagreb
  • Goran Dražić , postdoc, Faculty of Food Techology and Biotechonlogy, University of Zagreb
  • Andrej Dujella, professor, Faculty of Science, University of Zagreb
  • Alan Filipin, professor, Faculty of Civil Engineering, University of Zagreb
  • Zrinka Franušić, associate professor, Department of Mathematics, Faculty of Science, University of Zagreb
  • Mirela Jukić Bokun, associate professor, School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek
  • Ana Jurasić, assistant professor, Faculty of Mathematics, University of Rijeka, Croatia
  • Matija Kazalicki, professor, Department of Mathematics, Faculty of Science, University of Zagreb
  • Ivan Novak, PhD student, Department of Mathematics, Faculty of Science, University of Zagreb
  • Lukas Novak, PhD student, Department of Mathematics, Faculty of Science, University of Zagreb
  • Petar Orlić, PhD student, Department of Mathematics, Faculty of Science, University of Zagreb
  • Tomislav Pejković, assistant professor, Department of Mathematics, Faculty of Science, University of Zagreb
  • Pavao Radić, PhD student, Department of Mathematics, Faculty of Science, University of Split
  • Ivan Soldo, associate professor, School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek
  Research publications

  Completed in the 1st project year

  Doctoral dissertations

 

  Conference and seminar talks

  In the 1st project year

  • F. Najman, Q-curves, sporadic points, and Serre's uniformity conjecture, (invited confernece talk), 31.1.2024, 2024 Workshop on Number Theory and Algebra, Daejeon, South Korea
  • F. Najman, Quadratic points on modular curves, (invited confernece talk), 1.2.2024, 2024 Workshop on Number Theory and Algebra, Daejeon, South Korea
  • P. Orlić, Tetragonal modular quotients X^+_0(N), (confernece talk), 1.2.2024, 2024 Workshop on Number Theory and Algebra, Daejeon, South Korea
  • F. Najman, Elliptic curves, (invited confernece talk), 4.2.2024, 2024 Algebra Camp, Yangpyeong, South Korea
  • P. Orlić, Gonality of the modular curve X_0(N), (invited confernece talk), 4.2.2024, 2024 Algebra Camp, Yangpyeong, South Korea
  • F. Najman, Modular Curves, (invited confernece talk), 5.2.2024, 2024 Algebra Camp, Yangpyeong, South Korea
  • N. Adžaga, Low Degree Points on Modular Curves and Their Quotients, (confernece talk), 18.4.2024, The eighth mini symposium of the Roman Number Theroy Association, Rome, Italy
  • F. Najman, Hyperelliptic and trigonal modular curves, (confernece talk), 18.4.2024, The eighth mini symposium of the Roman Number Theroy Association, Rome, Italy
  Participation in summer schools, workshops, and conferences

  In the 1st project year

  Organization of workshops

  In the 1st project year

  Open positions

  Postdoc position 1 year, start date April or May 2024: Maarten Derickx joins us.

  Announcements
  December 31, 2023 Project started.