I am a PhD student working on mathematical aspects of quantum transport phenomenon. My supervisors are Eric Cancès and Gabriel Stoltz. Before this, I was a quantitative researcher at Société Générale Paris in Lorenzo Bergomi's team from 2014 to 2016. I worked on Interest Rate/Equity/Hybrid derivatives modeling, as well as hedging strategies.

**Education:**

*Master's degree on Mathematics and Applications. Pierre and Marie Curie University (Paris VI). France. 2014.**Engineer's degree. Ecole Des Ponts et Chaussées. France. 2014**Bachelor's degrees on Applied Mathematics, with second major on Economics. Peking University. China. 2011.*

**Research Interests:**

I am interested in beautiful/simple/efficient mathematical models to describe/solve problems from both condensed matter physics and financial market. Quite contrary to common belief, I think problems from financial market are as much difficult as those from physics, maybe even harder, since the financial market involves humain behaviors. This leads to two major research areas which I'am interested in :

- Mathematical aspect of quantum transport. Hartree-Fock theory. Spectral analysis and perturbation theory.
- Mathematical finance.

- É Cancès, L. Cao, G. Stoltz.
*Removing a slab from the Fermi sea: the reduced Hartree-Fock model*.*Preprint*. 2018. - L. Cao, P. Henry-Labordère.
*Interest Rate Models Enhanced with Local Volatility*.*Risk Magazine*, 2016. Available on ssrn. - L. Cao, G. Stoltz, T. Lelièvre, M.C. Marinica, M. Athènes.
*Free energy calculations from adaptive molecular dynamics simulations with adiabatic reweighting*.*J Chem Phys*. 2014.

- XIX International Congress on Mathematical Physics, contributed talk in Young Researchers Symposium.
*Removing a slab from the Fermi sea: a mean-field model*, with slides. 20/07/2018. - Journée des doctorants.
*Hofstadter's butterfly and Quantum Hall effect: an encounter of spectral theory with quantum mechanics*, with pdf. 04/06/2018. - Séminaire des doctorants du Ceremade.
*The reduced Hartree-Fock (rHF) model for extended defects in a Fermi sea*, with slides. 08/03/2018. - Work shop on mathematical aspects of condensed matter physics.
*Relative index and quantum Hall effect*, with a summary note. 09/11/2017. - Séminaire des doctorants du CERMICS. 25/10/2017. Slides.
- Advanced in Financial Mathematics. Flash talk on
*Interest rate models enhanced with local volatilities*. 11/01/2017.

- Project for 1A Ecole des Ponts ParisTech. Project description.

Lingling CAO

CERMICS, École Nationale des Ponts et Chaussées

6 et 8, av. Blaise Pascal

Cité Descartes - Champs-sur-Marne

77455 Marne-la-Vallée cedex 2

France

E-mail: lingling.cao@enpc.fr