![Me](photopetit.jpg) I'm a researcher (CR) at Inria Paris, in the [MATHERIALS](https://team.inria.fr/matherials/) project-team, located at [CERMICS](https://cermics-lab.enpc.fr/), Ecole des Ponts (bâtiment Coriolis, bureau B313). ## Research interests Development and analysis of numerical methods in quantum chemistry and materials science. ## Publications #### Submitted * A. Levitt, _Screening in the finite-temperature reduced Hartree-Fock model_, [arxiv](https://arxiv.org/abs/1810.03342) * É. Cancès, V. Ehrlacher, D. Gontier, A. Levitt, D. Lombardi, _Numerical quadrature in the Brillouin zone for periodic Schrodinger operators_, [arxiv](https://arxiv.org/abs/1805.07144) #### Published * D. Gontier, A. Levitt, S. Siraj-Dine, _Numerical construction of Wannier functions through homotopy_, Journal of Mathematical Physics (2019), [arxiv](https://arxiv.org/abs/1812.06746) * A. Damle, A. Levitt, L. Lin, _Variational formulation for Wannier functions with entangled band structure_, SIAM MMS (2019), [arxiv](https://arxiv.org/abs/1801.08572) * H. Cornean, D. Gontier, A. Levitt, D. Monaco, _Localised Wannier functions in metallic systems_, Annales Henri Poincaré (2019), [arxiv](https://arxiv.org/abs/1712.07954) * A. Levitt, C. Ortner, _Convergence and Cycling in Walker-type Saddle Search Algorithms_, SIAM Journal on Numerical Analysis (2017), [arxiv](http://arxiv.org/abs/1607.08875) * X. Antoine, A. Levitt, Q. Tang, _Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method_, Journal of Computational Physics 343 (2017), [arxiv](https://arxiv.org/abs/1611.02045) * É. Cancès, A. Levitt, G. Panati, G. Stoltz, _Robust determination of maximally-localized Wannier functions_, Phys. Rev. B, 95, 075114 (2017), [arxiv](http://arxiv.org/abs/1605.07201) * F. Aviat, A. Levitt, et. al., _Truncated Conjugate Gradient (TCG): an optimal strategy for the analytical evaluation of the many-body polarization energy and forces in molecular simulations_, J. Chem. Theory Comput., 13 (1), pp 180–190 (2017), [hal](https://hal.archives-ouvertes.fr/hal-01395833/) * X. Gonze, F. Jollet et al., _Recent developments in the ABINIT software package_. Computer Physics Communications, 205:106-131 (2016), [journal](http://www.sciencedirect.com/science/article/pii/S0010465516300923) * A. Levitt, M. Torrent, _Parallel eigensolvers in plane-wave Density Functional Theory_. Computer Physics Communications, 187:98–105 (2015), [arxiv](http://arxiv.org/abs/1406.4350) * A. Levitt, _Solutions of the multiconfiguration Dirac-Fock equations_. Reviews in Mathematical Physics, 26(07):1450014 (2014), [arxiv](http://arxiv.org/abs/1305.3739) * A. Levitt, _Best constants in Lieb-Thirring inequalities: a numerical investigation_. Journal of Spectral Theory 4.1 (2014), [arxiv](http://arxiv.org/abs/1206.1473) * A. Levitt, _Convergence of gradient-based algorithms for the Hartree-Fock equations_. ESAIM Math. Model. Numer. Anal. 46.06 (2012), [arxiv](http://arxiv.org/abs/1109.5473/) * G. James, A. Levitt, C. Ferreira, _Continuation of discrete breathers from infinity in a nonlinear model for DNA breathing_. Applicable Analysis 89.9 (2010), [arxiv](jlf.pdf) ## Teaching * 2016- [Analyse de Fourier](http://antoine.levitt.fr/fourier/) ## Misc links * My [resume](cv.pdf) * My [PhD thesis](https://hal.archives-ouvertes.fr/tel-00881031) and [master's thesis](master.pdf) * Computation of [Wannier functions](https://github.com/antoine-levitt/wannier) ## Contact antoine (dot) levitt (at) inria (dot) fr