My main research area is low-dimensional topology, and specifically smooth 4-manfiolds, but I also ventured into the topology of moduli spaces. Some concepts I have been thinking about are immersed and embedded surfaces, slice knots, corks, exotic 4-manifolds, trisections, and moduli spaces of Higgs bundles. My current papers are below:
Bounding the minimum genus function in 4-manifolds (2025)
Ẽ₆, Ẽ₇, and Ẽ₈ nilpotent cones in 4-dimensional moduli spaces of Higgs bundles, joint with András Stipsicz and Szilárd Szabó, first part available as Part II of my PhD thesis (2023)
Constructing corks in non-simply connected 4-manifolds, joint with Danica Kosanović (2026)
Unknotting number 21 knots are slice in K3, joint with Marco Marengon, Math. Res. Lett. 32, 939-955 (2025)pp. 939-955olume (2025) Number
Small exotic 4-manifolds from lines and quadrics in CP^2, Acta Math. Hungar. 162, 584–603 (2020)
Alexander polynomial through millennia (in Serbian, 2016), expository work on Alexander polynomial with a view towards Knot Floer Homology