Long MENG

# Long MENG

I am a postdoctoral researcher in mathematical quantum physics at Cermics, the laboratory of mathematics of the École des ponts, in the team of Éric Cancès. You can email me on long.meng@enpc.fr.

My main research interests are relativistic and non-relativistic mathematical quantum mechanics, functional analysis, harmonic analysis, Strichartz estimate, numerical analysis and spectral theory.

## Position

• Mar. 2022 - Now: postdoc at Cermics, École des ponts, in the team of Éric Cancès.

• Feb. 2021 - Jan. 2022: postdoc in Department of Mathematics, University of Padua, Italy, in the team of Federico Cacciafesta.

## Education

• 2017 - 2020 : PhD in mathematical physics at the University Paris-Dauphine, with Éric Séré

• 2016 - 2017 : Master's degree in mathematics, University Paris-Dauphine, Paris

• 2012 - 2016 : Bechelor's degree in Mathematics, University of Tongji, Shanghai

## Teaching

• 2020-2021: Numerical methods: matrix algebra and function of a real variable, L2, University Paris-Dauphine

## Publications

[1] Strichartz estimates for the Dirac equation on asymptotically flat manifolds, with A. S. de Suzzoni and L. Meng, submitted.

[2] Large time well posedness for a Dirac-Klein Gordon system, with A.S. de Suzzoni, L. Meng and J. Sok, submitted.

[3] Existence of minimizers for Dirac-Kohn-Sham models in quantum chemistry, submitted

[4] Regularity of many-body Schrödinger evolution equation and its application to numerical analysis, submitted

[5] A note about the mixed regularity of Schrödinger Coulomb system, submitted

## Conference

• QM 2D Moiré Scale mini-workshop, IPAM, May 18-20, 2022

• PDEs and Relativistic Quantum Mechanics, University of Côte d'Azur, May 11-13, 2022

• The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters, CIRM, October 21-25 2019

• Nonlinear Dirac equations and related problems, Bielefeld University, May 28-30, 2018

• Arizona School of Analysis and Mathematical Physics, University of Arizona, March 5-9, 2018