Research

Preprints 

1. The quantitative semi-classical limit of a large Fermi system at zero temperature
   arXiv, 30 pages (2025).

2. On the stability-instability transition in large Bose-Fermi mixtures
   (with J. K. Miller, D. Mitrouskas, N. Pavlović) arXiv, 50 pages (2025)

3. Commutator estimates and quantitative local Weyl's Law for Schödinger operators with non-smooth potentials
   (with L. Lafleche) arXiv, 50 pages (2025)

Publications 

1. Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases
   (with T. Chen) To appear in Journal of Statistical Physics (2025).  arXiv, 70 pages.

2. Radiative corrections to the dynamics of a tracer particle coupled to a Bose scalar field
   (with D. Mitrouskas) To appear in Ann. Henri Poincaré (2025). arXiv, 38 pages.

3. On the effective dynamics of Bose-Fermi mixtures
   (with J.K Miller and N. Pavlović) Ars Inveniendi Analytica (2025), Paper No. 5, 54 pp. arXiv, 55 pages. 

4. The renormalized Nelson model in the weak coupling limit
   (with D. Mitrouskas) J. Phys. A: Math. Theor. 58 175201 (2025). arXiv, 25 pages. 

5. Tunneling estimates for two-dimensional perturbed magnetic Dirac system
   (with B. Pavez and E. Stockmeyer). Ann. Henri Poincaré 26, 1821–1864 (2025). arXiv, 41 pages. 

6. Derivation of a Boltzmann equation with higher-order collisions from a generalized Kac model
   (with N. Pavlović and W. Warner). SIAM J. Math. Anal. (2024) 56:4, 5409-5444. arXiv, 29 pages. 

7. Norm convergence of confined fermionic systems at zero temperature
   Lett Math Phys (114), 38 (2024). arXiv, 21 pages.

8. Tracer particles coupled to an interacting boson gas
   J. Funct. Anal. 282 (8), 109403 (2022). arXiv, 36 pages.

9. On the asymptotic dynamics of 2-D magnetic quantum systems
   (with D. Hundertmark, E. Stockmeyer and S. Wugalter). Ann. Henri Poincaré 22 (2021) 415-445. arXiv, 29 pages. 

10. Spectral properties of Landau Hamiltonians with non-local potentials
    (with G. Raikov and I. Tejeda). Asympt. Anal. 120 (2020), 337-371. arXiv, 31 pages. 

11. Domain-wall dynamics for an in-plane magnetized thin film with a large perpendicular hard-axis anisotropy including the Dzyaloshinskii-Moriya interaction,
    (with M.C. Depassier). Phys. Rev. B 98 (13) (2018), 134429 . arXiv, 14 pages.