Mircea Petrache

What's new:

(last updated: Mar 24, 2023)

Contact: Facultad de Matemáticas & Instituto de Ingeneria Matematica y Computacional, Avda. Vicuña Mackenna 4860, Macul, Santiago, 6904441, Chile

Email: mpetrache@mat.uc.cl Cellphone: +56 9 3686 3545  Office phone: 23544038 

Mathematics is there to interact with other sciences.

I'm actively searching new ways to apply it in real-world problems. I will not work on a topic unless I actually believe that the gained knowledge can later be applied outside of mathematics.

I was trained in PDEs, Calculus of Variations, Geometric Analysis and Geometric Measure Theory. Which I now use to study emergent behavior and structures, especially (but not only) for large point configurations and deep learning.


Since January 2018 I am Assistant Professor at PUC Chile.

September 2017-December 2017: visited FIM in Zürich and Vanderbilt University.

2015-17:  MIS Max Planck Institute in Leipzig and Max Planck Institute in Bonn. (Funding: European Post-Doc Institute. Mentors: B. Kirchheim, S. Müller)

2013-2015: Postdoc at Laboratoire Jacques-Louis Lions (Funding: Fondation de Sciences Mathèmatiques de Paris. Mentor: Sylvia Serfaty)

2013: Ph.D at ETH Zürich, (Thesis: "Weak bundle structures and a variational approach to Yang-Mills Lagrangians in supercritical dimensions". Advisor: Tristan Rivière).

2008: MSc Scuola Normale Superiore, (Thesis: "Differential Inclusions and the Euler equation". Advisor: Luigi Ambrosio)

Scientific themes I care about (storyline):

The nicest models of large point configurations we use, combine elegance & generality, with built-in exponential complexity.

But if we stick with these models, we might miss that the data itself is actually much better behaved !

A powerful principle is to quantify the group behavior of the points, through problem-specific structures, that in turn instruct low-complexity approximations. Examples of what maths to use:

What are we missing in order to understand this success? Some threads I'm following at the moment:

Links to some past events (for personal reference):