Welcome to my homepage! I am a last year PhD student in mathematics at Stockholm University under the supervision of Professor Boris Shapiro.

My main interest is the dynamics of multivalued maps on the Riemann sphere or in the complex plane. Currently I mainly study the dynamics of holomorphic correspondences on the Riemann Sphere.

Contact

Feel free to contact me at nils DOT hemmingsson AT math DOT su DOT se.

Papers/preprints

1. (w. P. Alexandersson, D. Novikov, B. Shapiro and G. Tahar) Linear first order differential operators and their Hutchinson Invariant sets, Journal of Differential Equations 391 (2024), 265-320.

2. Equidistribution of iterations of holomorphic correspondences and Hutchinson invariant sets, Conform. Geom. Dyn. 28 (2024), 97-114.

3. (w. P. Alexandersson, D. Novikov, B. Shapiro and G. Tahar) On boundary points of minimal continuously Hutchinson invariant sets, preprint, https://arxiv.org/abs/2406.10963

4. (w. X. Li and Z. Li) Conformal measures of (anti)holomorphic correspondences, preprint, https://arxiv.org/abs/2409.01361

5. (w. P. Alexandersson and B. Shapiro) \textit{An inverse problem in Pólya--Schur theory II. Exactly solvable operators and complex dynamics}, preprint, https://arxiv.org/abs/2412.01643