This image shows Thiago Carvalho Corso

Thiago Carvalho Corso

Dr.rer.nat

Postdoc, Research assistant
Institute of Applied Analysis and Numerical Simulation
Numerical Mathematics for High Performance Computing

Contact

+49 711 685 62013
 +49 711 685 65507

Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 7.154

  1. Corso, T. C., Kemlin, G., Melcher, C., & Stamm, B. (2026). Numerical Simulation of the Gross-Pitaevskii equation via vortex tracking. Mathematics of Computation, 95, 227–262. https://doi.org/10.1090/mcom/4071
  2. Corso, T. C., Weidl, T., & Zeng, Z. (2025). Lieb–Thirring inequalities for the shifted Coulomb Hamiltonian. Journal of Spectral Theory, 15, Article 3. https://doi.org/10.4171/JST/574
  3. Carvalho Corso, T. (2025). v-representability and Hohenberg-Kohn theorem for non-interacting Schrödinger operators with distributional potentials on the one-dimensional torus. Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/adc04c
  4. Corso, T. C., & Ried, T. (2025). On a Variational Problem Related to the Cwikel--Lieb--Rozenblum and Lieb--Thirring Inequalities. Communications in Mathematical Physics, 406, Article 3. https://doi.org/10.1007/s00220-024-05216-y
  5. Corso, T. C. (2025). A rigorous formulation of Density Functional Theory for spinless electrons in one dimension. https://arxiv.org/abs/2504.05501
  6. Corso, T. C. (2025). v-representability and Hohenberg-Kohn theorem for non-interacting Schrödinger operators with distributional potentials in the one-dimensional torus. https://arxiv.org/abs/2501.13513
  7. Corso, T. C., Kemlin, G., Melcher, C., & Stamm, B. (2025). Simulation of the magnetic Ginzburg-Landau equation via vortex tracking. https://arxiv.org/abs/2510.26334
  8. Corso, T. C., & Laestadius, A. (2025). A quantitative Hohenberg-Kohn theorem and the unexpected regularity of density functional theory in one spatial dimension. https://arxiv.org/abs/2512.04726
  9. Corso, T. C. (2025). A non-degeneracy theorem for interacting electrons in one dimension. https://arxiv.org/abs/2503.18440
  10. Corso, T. C. (2024). Two-Term Asymptotics of the Exchange Energy of the Electron Gas on Symmetric Polytopes in the High-Density Limit. Mathematical Physics, Analysis and Geometry, 27, Article 4. https://doi.org/10.1007/s11040-024-09485-w
  11. Corso, T. C., & Friesecke, G. (2024). Next-order correction to the Dirac exchange energy of the free electron gas in the thermodynamic limit and generalized gradient approximations. Journal of Mathematical Physics, 65, Article 8. https://doi.org/10.1063/5.0152359
  12. Carvalho Corso, T., Dupuy, M.-S., & Friesecke, G. (2024). The density–density response function in time-dependent density functional theory: Mathematical foundations and pole shifting. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. https://doi.org/10.4171/aihpc/116
  13. Corso, T. C. (2024). A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory. Nonlinearity, 37, Article 6. https://doi.org/10.1088/1361-6544/ad3a50
  14. Corso, T. C., Weidl, T., & Zeng, Z. (2024). Lieb-Thirring inequalities for the shifted Coulomb Hamiltonian. https://arxiv.org/abs/2409.01291
  15. Corso, T. C. (2024). A generalized three lines lemma in Hardy-like spaces. https://arxiv.org/abs/2407.10117
  16. Corso, T. C., & Ried, T. (2024). On a variational problem related to the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. https://arxiv.org/abs/2403.04347
  17. Corso, T. C., Hassan, M., Jha, A., & Stamm, B. (2024). Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks. https://arxiv.org/abs/2401.16344
  18. Corso, T. C., Kemlin, G., Melcher, C., & Stamm, B. (2024). Numerical simulation of the Gross-Pitaevskii equation via vortex tracking. https://arxiv.org/abs/2404.02133
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