I am a postdoctoral researcher at the Department of Mathematics and Statistics at the University of Jyväskylä. I am mostly interested in geometric measure theory, as well as its applications to harmonic analysis and PDEs. I work in the Geometric Measure Theory and Harmonic Analysis group, led by Tuomas Orponen and Katrin Fässler.

I defended my PhD in February 2021 at the Universitat Autònoma de Barcelona, where I worked under supervision of Xavier Tolsa.

Here is my CV.

Interests

- quantitative rectifiability
- singular integral operators in non-doubling setting
- behaviour of measures under orthogonal projections
- Furstenberg sets

Education

PhD in Mathematics, 2021

Universitat Autònoma de Barcelona

MSc in Mathematics, 2017

University of Warsaw

BSc in in Mathematics, 2015

University of Warsaw

(2022).
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(2020).

Two examples related to conical energies.
Ann. Fenn. Math. 47, no. 1, 261–281.

(2022).
Cones, rectifiability, and singular integral operators.
Appeared online in Rev. Mat. Iberoam.

(2021).
Sufficient condition for rectifiability involving Wasserstein distance $W_2$.
J. Geom. Anal. 31, 8539–8606.

(2021).
An $\alpha$-number characterization of $L^{p}$ spaces on uniformly rectifiable sets.
To appear in Publ. Mat.

(2020).
Necessary condition for rectifiability involving Wasserstein distance $W_2$.
Int. Math. Res. Not. IMRN 2020, no. 22, 8936–8972.

(2020).
Characterization of Sobolev-Slobodeckij spaces using curvature energies.
Publ. Mat. 63, no. 2, 663–677.

(2019).
- damian.m.dabrowski [at] jyu.fi
- P.O. Box 35 (MaD), 40014 University of Jyväskylä, Finland
- Office: MaD 338.