Topics for bachelor and master degree thesis are available at SIS.
After personal communication other topics for bachelor/master thesis can be added.
Topics for doctoral thesis are consulted after personal comunication (it should concern at least partially Banach space theory or metric spaces). Interested students may have a look at topics suitable for a master thesis.
Below are student thesis, which I am currently leading, or which I have been leading in the past and which were defended. Defended thesis including reports can be found at the Digital repository of Charles University.
PhD thesis
Jan Bíma: Lipschitz structure of Banach spaces (2022-).
Master thesis
Tomáš Raunig: Lipschitz free spaces and actions of groups (2022-).
Ondřej Smetana: Ideals of Banach Spaces (defended 2023)
Jan Bíma: Lipschitz Free Spaces and Subsets of Finite-Dimensional Spaces (defended 2022).
Bachelor thesis
Daniel Vitner: Proofs of basic properties of Lp spaces (2023-).
Jonáš Havelka: Banach-Mazur distance between Banach spaces of continuous functions (defended 2023).
Johana Dvořáková: Proofs of Tychonoff's Theorem (defended 2022).
Tereza Kučerová: Ulam's problem (defended 2022).
David Kubíček: Basic properties of p-Banach spaces (defended 2022).
Tomáš Raunig: Lipschitz free p-spaces (defended 2022).
Ondřej Langr: Lipschitz-free spaces (defended 2018).
Mikuláš Zindulka: Finitely additive measures and their docompositions (defended 2018).