Nikola Kuzmanovski

Nikola Kuzmanovski

Kenna Postdoctoral Research Associate

Department: Department of Mathematics

Institution: University of Notre Dame

Office: 138 Hayes-Healy, Notre Dame, IN 46556, USA

Email: nkuzmano@nd.edu

About & Research Interests

My research explores the interplay between commutative algebra and combinatorics, with particular emphasis on generic initial ideals, Hilbert functions, graded Betti numbers, persistence theorems, hyperplane restrictions, Lefschetz properties, lex ideals, Macaulay posets and rings, and discrete isoperimetric problems.

Isoperimetric / Lexicographic Animation

Publications & Preprints

You can also find my preprints and papers listed directly on arXiv.

  1. Kuzmanovski, N. (Aug. 2026). "A Structural Property of Generic Initial Ideals". Preprint.
    arXiv: 2608.17281 [math.AC]
  2. Beall, P., Boyali, E., Chen, N., Chlachidze, E., Dao, T. T., Garvey, F., Johnson, M., Li, Y. O., Kuzmanovski, N., Ma, K., Mal, T., Mudiyanselage, R. M., Mayo, Q., Minsky-Primus, N., Seceleanu, A., & Veerapaneni, S. (2026). "Constructions of Macaulay Posets and Macaulay Rings". The Electronic Journal of Combinatorics, 33.2, P2.52.
    DOI: 10.37236/14245
  3. Beall, P., Kuzmanovski, N., Li, Y. O., & Seceleanu, A. (Oct. 2025). "The MacaulayPosets Package for Macaulay2". Journal of Software for Algebra and Geometry. Accepted.
    arXiv: 2510.22843 [math.AC]
  4. Kuzmanovski, N. (2025). "Towards a Complete Local-Global Principle". Order.
    DOI: 10.1007/s11083-025-09711-2
  5. Kuzmanovski, N. (2025). "Macaulay Posets and Rings". Journal of Algebraic Combinatorics, 62.4, 54.
    DOI: 10.1007/s10801-025-01472-w
  6. Kuzmanovski, N., & Radcliffe, J. (2024). "Reflect-Push Methods, Part I: Two-Dimensional Techniques". The Electronic Journal of Combinatorics, 31.1, P1.55.
    DOI: 10.37236/12043
  7. Bezrukov, S. L., Kuzmanovski, N., & Lim, J. (2023). "Pull-Push Method: A New Approach to Edge-Isoperimetric Problems". Discrete Mathematics, 346.12, 113632.
    DOI: 10.1016/j.disc.2023.113632
  8. Bezrukov, S., Bulatovic, P., & Kuzmanovski, N. (2018). "A New Infinite Family of Regular Edge-Isoperimetric Graphs". Theoretical Computer Science, 721, pp. 42–53.
    DOI: 10.1016/j.tcs.2017.12.036