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. Necessary condition for rectifiability involving Wasserstein distance W2. Preprint (2019). arXiv:1904.11000
  2. Sufficient condition for rectifiability involving Wasserstein distance W2. Preprint (2019). arXiv:1904.11004
  3. Characterization of Sobolev-Slobodeckij spaces using curvature energies. Publ. Mat. 63 (2019), 663-677. arXiv:1710.00263

Slides:

  1. Cones and rectifiability – Warsaw, October 2019
  2. Rectifiability of measures via optimal transport – Barcelona,  June 2019
  3. Rectifiability of measures via optimal transport – Helsinki,  June 2019
  4. Rectifiability of measures via optimal transport – Toulouse, February 2019
  5. Rectifiability of measures via optimal transport – Barcelona, January 2019

Contact

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