My work generally spans the areas of fractal geometry, ergodic theory and analysis, although I am also interested in connections to probability and combinatorics.
In particular, my recent work is concerned with:
- Geometric properties of (random and deterministic) fractals of dynamical, arithmetic and combinatorial origin. In particular, geometrical aspects of dynamical rigidity and smoothness of self-similar measures.
- Combinatorial problems in fractal geometry (distance sets, direction sets, Kakeya-type sets, projection theorems, etc).
- Applications of fractal geometry in ergodic theory and analysis.
- Self-affine sets and the subadditive thermodynamic formalism.
I was an enthusiastic participant in math olympics in Argentina during high school. I did my undergraduate degree at the Department of Mathematics of the University of Buenos Aires. I then moved to the University of Washington to complete my PhD under the supervision of Boris Solomyak.
Afterwards I held postdoc positions at the universities of Jyväskylä (Finland) and Manchester (UK) and was a research fellow at the University of Surrey (UK). I was also a member of MSRI for a semester in 2008, of ICERM in 2016 and of Mittag-Leffler institute in 2017.
I have returned to Argentina to join the Department of Mathematics and Statistics of Torcuato Di Tella University as an associate professor, from June 2013. I am also an independent researcher at CONICET.
I've given short courses at the University of Buenos Aires, Argentina (2010 and 2015), University of Oulu, Finland (2011), University of Mar del Plata, Argentina (2011), University of Jyväskylä, Finland (2015), CIRM, France (2019), and had research stays at IMPA, Microsoft Research, Chinese University of Hong Kong, University of Helsinki, and Hebrew University of Jerusalem, among others.
In July 2016 I received the UMALCA prize at the Vth Latin American Congress of Mathematicians in Barranquilla, Colombia. In July 2017 I was awaded the MCA prize at the Mathematical Congress of the Americas in Montréal, Canada. In August 2018 I had the great honor to receive the Bunge&Born Stimulus Prize, awarded in Mathematics for the first time.
You can download my full CV here (updated 12/2019).
Postal address: Av. Figueroa Alcorta 7350 (C1428BCW). Ciudad Autónoma de Buenos Aires. Argentina.
Phone number: (54 11) 5169 7000.
E-mail address: (first letter of first name)(last name)(at)utdt(dot)edu