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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor degree in Physics (Ecole Polytechnique, Palaiseau, 1999), bachelor degree in Electrical Engineering (UTFPR, Curitiba,1998), master degree in Physics (Ecole Polytechnique, 2000), PhD in Mathematical Physics (ETHZ, Max Planck Institute and University of Leipzig, 2005), habilitation in Analysis ("Juniorprofessur", University of Mainz, 2009) and habilitation in Mathematical Physiscs (University of São Paulo, 2014). Full professor at the Institute of Mathematical and Computer Sciences of the University of São Paulo. Is an external scientific member of the Basque Center for Applied Mathematics (BCAM, Bilbao) and member of the mathematical physics commission of the International Union of Pure and Applied Physics (IUPAP). Works in the domain of Mathematical Phsysics on the following subjects: contructive methods for interacting fermions, applications of operator algebra theory to quantum statistical mechanics, theory of superconductors, microscopic foundations of linear transport. (Source: Lattes Curriculum)
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The algebraic formulation of quantum mechanics, based on the theory of C*- and von Neumann algebras, is a very fruitful mathematical framework for the study of quantum many-body problems. In this context, by considering interacting fermion systems on lattices, our aim is to prove the physical conjecture saying that interparticle interaction is one of the causes of resistivity. To achieve …
Electrical resistance in conducting media is related to heat (or, equivalently, entropy) production in presence of electric fields. From a microscopic point of view, such a resistance is due to the presence of disorder or interaction between charge carriers. Our aim is to use a notion of relative entropy for the states of infinite quantum systems in order to mathematically define and ana…
We know from everyday experience that thermodynamic equilibrium is stable in the sense that systems in equilibrium spontaneously return to it after suffering small disturbances. This phenomenological aspect is so common that it makes up the postulates of thermodynamics. In fact, the "zero law" of thermodynamics refers precisely to the return to equilibrium. However, from the point of view…
[1] studies fermions on the lattice with long-range interactions and shows that, exactly as in the case of short-range interactions [2, 3], equilibrium states can be properly defined by minimization of a free-energy density functional on a convenient locally convex space. Here, the term long-range interaction refers to the presence of mean-field components in the interaction. Equilibrium …
We aim to derive macroscopic universal behavior of cold matter from first principles for interacting many fermion systems, in a mathematically rigorous way. [1] contains first results in this direction for the case of the electric conductivity and states that the linear charge transport of interacting lattice fermions in disordered media with non-vanishing short-range interparticle intera…
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| 1 / 1 | Ongoing scholarships in Brazil |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 5 / 5 | All research grants and scholarships |
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