Preprints

1. Thomson decompositions of measures in the disk (2022) arXiv:2208.08810
2. Cyclic inner functions in growth classes and applications to approximation problems (2022) arXiv:2205.01778
3. Construction of some families of smooth Cauchy transforms, with Adem Limani (2022) arXiv:2111.14112
4. Inner functions, invariant subspaces and cyclicity in Pt(mu)-spaces, with Adem Limani (2021) arXiv:2108.08625
5. On the problem of smooth approximations in H(b) and connections to subnormal operators, with Adem Limani (2021) arXiv:2108.08629
6. Nearly invariant subspaces of de Branges spaces (2019) arXiv:1902.10450

Published articles

1. On model spaces and density of functions smooth on the boundary, with Adem Limani, accepted for publication in Revista Matemática Iberoamericana (2022) doi
2. An abstract approach to approximations in spaces of pseudocontinuable functions, with Adem Limani, Proceedings of the American Mathematical Society 150, No. 6, 2509-2519 (2022). doi
3. Generalized Cesàro operators: geometry of spectra and quasi-nilpotency, with Adem Limani, International Mathematics Research Notices 2021.23 (2021): 17695-17707. doi
4. Hilbert spaces of analytic functions with a contractive backward shift, with Alexandru Aleman, Journal of Functional Analysis 277.1 (2019): 157-199. doi
5. Spectra of Generalized Cesàro Operators Acting on Growth Spaces, Integral Equations and Operator Theory 90.3 (2018): 26. doi
6. Density of disk algebra functions in de Branges–Rovnyak spaces, with Alexandru Aleman, Comptes Rendus Mathematique 355.8 (2017): 871-875. doi

Doctoral thesis

• Operator theory on holomorphic function spaces, advisor Alexandru Aleman.

Master thesis

• Zero-divisors and idempotents in group rings , advisor Johan Öinert.