Damian Dąbrowski

Damian Dąbrowski

Postdoc in mathematics

University of Jyväskylä

About me

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 group, led by Katrin Fässler and Tuomas Orponen.

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

Publications

(2022). Integrability of orthogonal projections, and applications to Furstenberg sets. Adv. Math. 407, 108567.

Cite Article arXiv

(2022). Cones, rectifiability, and singular integral operators. Rev. Mat. Iberoam. 38, no. 4, 1287–1334.

Cite Article arXiv

(2022). Two examples related to conical energies. Ann. Fenn. Math. 47, no. 1, 261–281.

Cite Article arXiv

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

Cite Article arXiv

(2019). Characterization of Sobolev-Slobodeckij spaces using curvature energies. Publ. Mat. 63, no. 2, 663–677.

Cite Article arXiv

Contact