I was born in 1988, in La Unión, Chile. I lived in La Unión until I finished high school in 2006.

In 2007 I moved to Concepción, Chile, to study mathematics at Universidad de Concepción, obtaining my PhD in 2010 under the supervision of Xavier Vidaux. The committee that reviewed my thesis was: Ricardo Baeza, Antonio Laface, Angus Macintyre, Thanases Pheidas, Thomas Scanlon and Xavier Vidaux.

In 2010 I moved to Kingston, ON, Canada, to study more mathematics at Queen's University, obtaining my PhD in 2014 under the supervision of Ram Murty. The committee that reviewed my thesis was: Selim Akl, Ernst Kani, Ram Murty and Joseph Silverman. I was awarded the 2014 General Governor of Canada's Academic Gold Medal and the 2015 Doctoral Prize of the Canadian Math. Soc. for my PhD thesis.

In 2014 I moved to Cambridge, MA, USA, to do mathematics at Harvard University as Benjamin Peirce Fellow. During the academic year 2015-2016, I was a member of the Institute for Advanced Study (Princeton, NJ). Starting in Fall 2016, I am back to Harvard.

In 2017, I was awarded the MCA Prize at the Mathematical Congress of the Americas held in Montreal, Canada.