# Research

## Topics

- Mathematics of quantum mechanics
- Hamiltonian systems

## Publications

### Journal papers

- Mean-field dynamics for mixture condensates via Fock space methods [with A. Michelangeli] [Rev. Math. Phys. 31 (2019)] [arXiv]
- Quantitative derivation of the Gross-Pitaevskii equation [with N. Benedikter and B. Schlein] [Comm. Pure Appl. Math. 68, 1399-1482 (2015)] [arXiv]
- Quantum dynamics of a particle constrained to lie on a surface [J. Math. Phys. 55, 092106 (2014)] [arXiv]
- Asymptotics for Fermi curves with small magnetic potential [Rev. Math. Phys. 22, 881-961 (2010)] [arXiv]

### Dissertation

- Asymptotics for Fermi curves of electric and magnetic periodic fields, Doctoral dissertation, 2009 [cIRcle]

## Talk slides

## Conferences

### 2018

- Results in Contemporary Mathematical Physics
- Random Physical Systems
- ICM 2018 - Rio de Janeiro
- Topics in Mathematical Physics
- Modern Trends in Differential Geometry
- Encontro Mineiro de Equações Diferenciais