About me

I am a PhD student in mathematics at Universitat Autònoma de Barcelona, and I am mostly interested in geometric measure theory, as well as its applications to harmonic analysis and PDEs. I work under supervision of Xavier Tolsa.

Here is my CV.

Research

Papers:

  1. Two examples related to conical energies.  Preprint (2020). arXiv:2011.12717
  2. An α-number characterization of Lp spaces on uniformly rectifiable sets (with J. Azzam). Preprint (2020). arXiv:2009.10111
  3. Cones, rectifiability, and singular integral operators. Preprint (2020). arXiv:2006.14432
  4. Necessary condition for the L2 boundedness of the Riesz transform on Heisenberg groups (with M. Villa). Preprint (2020). arXiv:2004.01117
  5. Necessary condition for rectifiability involving Wasserstein distance W2. Preprint (2019). To appear in Int. Math. Res. Not. IMRN. arXiv:1904.11000
  6. Sufficient condition for rectifiability involving Wasserstein distance W2. Preprint (2019). arXiv:1904.11004
  7. Characterization of Sobolev-Slobodeckij spaces using curvature energies. Publ. Mat. 63 (2019), 663-677. arXiv:1710.00263

Slides:

  1. Cones, rectifiability and singular integral operators; slides, video – Analysis and PDE Working Summer Seminar, University of Minnesota, June 2020
  2. Cones, rectifiability and singular integral operators – Edinburgh, April 2020
  3. Cones and rectifiability – Warsaw, October 2019
  4. Rectifiability of measures via optimal transport – Barcelona,  June 2019
  5. Rectifiability of measures via optimal transport – Helsinki,  June 2019
  6. Rectifiability of measures via optimal transport – Toulouse, February 2019
  7. Rectifiability of measures via optimal transport – Barcelona, January 2019

Contact

ORCID iD icon orcid.org/0000-0003-4495-6090

E-mail: ddabrowski [at] mat.uab.cat

Mailing address:
Departament de Matemàtiques, Universitat Autònoma de Barcelona,
Edifici C Facultat de Ciències,
08193 Bellaterra (Barcelona), Spain

Office: C1/-166

About my surname: If you are wondering how to pronounce “Dąbrowski”, phonetically it is “dɔmˈbrɔfskʲi“, and an English approximation would be “Dombrofsky” or “Dombrosky”.
To write “Dąbrowski” in LaTeX, try “D{\k{a}}browski”.
Fun fact: the surname appears several times in the Polish national anthem.