Short Research Summary: 

My research lies in mathematical analysis, with a focus on operator theory, complex analysis, and harmonic analysis. Specific topics of interest include:

• Spaces of analytic functions: classical Hardy, Bergman, and Dirichlet spaces, as well as model spaces and de Branges–Rovnyak spaces

• Polynomial approximation problems in the plane, particularly approximations by analytic polynomials in planar Lebesgue spaces

• Cyclicity problems in various spaces of analytic functions

• Problems related to the uncertainty principle in harmonic analysis

For more information, you may visit: https://malman.eu/website/.

Mentee Assessment: 

The assessment will be done over an online meeting.