I completed my PhD in pure mathematics at the University of Oxford from 2021-2024, under the supervision of Vladimir Marković . Before Oxford, I recevied a BA and MMath from the University of Cambridge.
My research is broadly focused on harmonic maps and Teichmüller spaces. You can find a list of my papers below, and my thesis here, for an alternative exposition of the papers marked by an asterisk (*).
Publications and preprints
On Hitchin's equations for cyclic G-Higgs bundles (2024, with N. Sagman), submitted
Derivative of the Riemann-Hilbert map (2024, with V. Marković), to appear in Bulletin of the London Mathematical Society
Constant energy families of harmonic maps (2024), submitted
*Harmonic projections in negative curvature II: large convex sets (2023), Geometriae Dedicata DOI
*Non-strict plurisubharmonicity of energy on Teichmüller space (2023), International Mathematics Research Notices DOI
*The second variation of the Hodge norm and higher Prym representations (2021, with V. Marković), Journal of Topology DOI
*Harmonic projections in negative curvature (2022), Communications in Analysis and Geometry DOI
Confirming Brennan's conjecture numerically on a counterexample to Thurston's K=2 conjecture (2022), Experimental Mathematics DOI
Contact
E-mail address: ognjen(dot)tosic(at)gmail(dot)com