# Research

## Topics

- Mathematics of quantum mechanics
- Hamiltonian systems

## Publications

### Preprints

- Mean-field dynamics and quantum fluctuations for mixture condensates (with A. Michelangeli)

### Journal papers

- Quantitative derivation of the Gross-Pitaevskii equation [Comm. Pure Appl. Math. 68, 1399-1482 (2015)] [arXiv] (with N. Benedikter and B. Schlein)
- Quantum dynamics of a particle constrained to lie on a surface [J. Math. Phys. 55, 092106 (2014)] [arXiv]
- Asymptotics for Fermi curves: 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]