Research

My research lies in algebraic geometry and number theory, focusing on families of curves in positive characteristic from both theoretical and computational perspectives.

Keywords: curves, abelian varieties, characteristic p, families, supersingular, finite fields, Newton polygon, Ekedahl-Oort type, p-rank, a-number.

Preprints

• D. Dragutinović, An identity relating n-nacci numbers, partitions, and products of binomial coefficients.
  Preprint: arxiv:2601.17401
• D. Dragutinović, Oort's conjecture and automorphisms of supersingular curves of genus four.
  Preprint: hal-04960982v1 (submitted)

Published articles

1. K. Chang, D. Dragutinović, S. Groen, Y. Lin, N. Pacheco-Tallaj, and D. Singhal, The p-rank stratification of the moduli space of double covers of a fixed elliptic curve.
   Accepted for publication in: Nagoya Mathematical Journal.
   Preprint: arxiv:2502.09540
2. D. Dragutinović, Ekedahl-Oort types of stable curves.
   Accepted for publication in: International Journal of Number Theory.
   Preprint: arxiv:2307.13445
3. D. Dragutinović, An unusual family of supersingular curves of genus five in characteristic two.
   Finite Fields and Their Applications, doi.org/10.1016/j.ffa.2025.102736, Volume 110, Issn: 1071-5797, Paper no. 102736, 2026.
   Preprint: arxiv:2507.03519
4. D. Dragutinović, Supersingular curves of genus four in characteristic two.
   Proceedings of the American Mathematical Society, doi.org/10.1090/proc/16792, Volume 152, Number 6, Pages 2333–2347, 2024.
   Preprint: arxiv:2301.12897
5. D. Dragutinović, Computing binary curves of genus five.
   Journal of Pure and Applied Algebra, Volume 228, Issue 4, Paper no. 107522, doi.org/10.1016/j.jpaa.2023.107522, 2024.
   Repository: github.com/DusanDragutinovic/MT_Curves; LMFDB: lmfdb.org/Variety/Abelian/Fq/Source
   Preprint: arxiv:2202.07809

Doctoral thesis

• D. Dragutinović, Families of curves in positive characteristic.
  [Doctoral thesis 1 (Research UU / Graduation UU), Universiteit Utrecht], Utrecht University, doi.org/10.33540/2959, ISBN: 978-90-393-7877-9, 172p, 2025.

Talks

• Seminar at University Duisburg-Essen, Essen, Germany (10 Sep 2025)
• 33èmes Journées Arithmétiques, Luxembourg, Luxembourg (01 Jul 2025)
• MI Seminar, Utrecht University, Utrecht, Netherlands (03 Jun 2025)
• LENT Seminar at Utrecht University, Utrecht, Netherlands (18 Nov 2024)
• Number Theory Seminar at Charles University, Prague, Czech Republic (20 Mar 2024)
• Arizona Winter School, Tucson AZ, USA (06 Mar 2024)
• Number Theory Lab at Colorado State University, Fort Collins, USA (17 Oct 2023)
• AG Seminar at Utrecht University, Utrecht, Netherlands (19 Sep 2023)
• Young Number Theorists in Bonn, Bonn, Germany (15 Sep 2023)
• Algebra Seminar of SU and KTH, Stockholm, Sweden (29 Mar 2023)
• Algebraic Geometry from an Algorithmic Point of View Session, The Applications of Computer Algebra - ACA2023, Warsaw, Poland (19 Jul 2023)
• Student Seminar of the Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia (24 Feb 2023)
• AG Seminar at Utrecht University, Utrecht, Netherlands (05 Oct 2022)
• Algebra Seminar at University of Groningen, Groningen, Netherlands (19 Apr 2022)
• Preprint Seminar at Utrecht University, Utrecht, Netherlands (21 Nov 2021)

Research collaboration

• Participant in the research group led by Prof. Dr. Eric Larson (studying the interpolation problem for higher normal bundles, with an emphasis on rational curves) at the Bootcamp for the 2025 Summer Research Institute in Algebraic Geometry, Fort Collins, CO, USA (08-12 July 2024).
• Participant in the research group led by Prof. Dr. Rachel Pries (studying families of double covers of a fixed elliptic curve and their p-rank stratification) at the Arizona Winter School, Tucson, AZ, USA (02-06 Mar 2024).
• Research visit at Colorado State University, Fort Collins, CO, USA - collaboration with Prof. Dr. Rachel Pries (03-30 Oct 2023)
• Research internship for students at the Mathematical Institute of the Serbian Academy of Sciences and Arts, Serbia - collaborating with Prof. Dr. Djordje Baralić on project Rigidity problem for neighborly polytopes in toric topology (Jul-Aug 2020)