Research
Hi, I am Stefan and my main research topic is low-dimensional topology, and specifically smooth 4-manfiolds, but I lately also ventured into the topology of moduli spaces.
Some topics I have been thinking about are small exotic 4-manifolds, immersed surfaces, slice knots, trisections, corks, and moduli spaces of Higgs bundles. You can see my current papers below:
In preparation
Improving the genus function in 4-manifolds via multi-tubing, (2023)
E_6-tilde, E_7-tilde and E_8-tilde nilpotent cones in moduli spaces of meromorphic Higgs bundles over CP^1, first part available as Part II of my PhD thesis (2023)
Preprints
Unknotting number 21 knots are slice in K3, joint with Marco Marengon, submitted (2022)
Published papers
Small exotic 4-manifolds from lines and quadrics in CP^2, Acta Math. Hungar. 162, 584–603 (2020)
Ph.D. Thesis
Master's Thesis
Alexander polynomial through millennia (in Serbian, 2016), expository work on Alexander polynomial with a view towards Knot Floer Homology