About me: I finished my PhD in Mathematics at the Wrocław University of Science and Technology. My supervisor was Professor Mariusz Mirek. Currently, I am interested in discrete harmonic analysis and pointwise ergodic theorems.
Education:
2019-2023: PhD in Mathematics, Wrocław University of Science and Technology, Poland.
2019: M.Sc. in Mathematics, Wrocław University of Science and Technology, Poland.
Employment:
September 2023 - Present: Assistant Professor at the University of Wrocław (Poland) - currently on leave.
August 2024 - Present: Limited Term Assistant Professor at the University of Georgia (USA).
Published papers:
W. Słomian,
Transference of Lp bounds between symmetrized Jacobi expansions and Dunkl transform
Acta Math. Hungar. 162, 187–219 (2020).
W. Słomian,
Bootstrap methods in bounding discrete Radon operators
J. Funct. Anal. 283 (2022), 109650.
M. Mirek, W. Słomian, T. Z. Szarek,
Some remarks on oscillation inequalities
Ergodic Theory and Dynamical Systems 43(10), pp. 3383-3412 (2023).
W. Słomian,
Oscillation Estimates for Truncated Singular Radon Operators
J. Fourier Anal. Appl. 29, 4 (2023).
On the solution of Waring problem with a multiplicative error term: dimension-free estimates
Proc. Amer. Math. Soc. 151 (2023), 3365-3379
N. Mehlhop, W. Słomian,
Math. Ann. Volume 388, pages 2807–2842, (2024).
W. Słomian,
Oscillation inequalities for Carleson-Dunkl operator
Accepted in Rendiconti del Circolo Matematico di Palermo Series 2