Research interests: Mathematical Physics, Quantum Many-Particle System, Condensed Matter Physics, Functional Analysis

Publications:

1. Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge, Rep. Math. Phys. 81, 177–184 (2018). DOI: 10.1016/S0034-4877(18)30035-1. arXiv:1605.02949.

2. (with T. Miura, G. Hosono, and H. Kodama) A Suggestion of Peripheral Curves on Hard Contact Lenses (in Japanese), Suurikagaku Jissenkenkyu Letter, LMSR 2018-1 (2018). DOI: 10.15083/00076803.

3. Binding of Atoms in Müller Theory, J. Math. Phys. 60, 041901 (2019). DOI: 10.1063/1.5087911. arXiv:1812.11754.

4. The Maximal Excess Charge in Reduced Hartree–Fock Molecule, Rev. Math. Phys. 33, 2150008 (2021). DOI:10.1142/S0129055X21500082. arXiv:2002.11864.

5. Born–Oppenheimer Potential Energy Surfaces for Kohn–Sham Models in the Local Density Approximation, Ann. Henri Poincaré 23, 1765–1790 (2022). DOI: 10.1007/s00023-021-01139-9. arXiv:2104.09057.

6. (with T. Koma) Spontaneous Mass Generation and Chiral Symmetry Breaking in a Lattice Nambu–Jona-Lasinio Model, Commun. Math. Phys. 404(3), 1463–1493 (2023). DOI: 10.1007/s00220-023-04858-8. arXiv:2209.06031.

7. (with T. Koma) Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries, J. Math. Phys. 65, 102301 (2024). DOI: 10.1063/5.0218555. arXiv:2310.15922.

8. (with T. Koma) Violation of Parity and Flavor Symmetries in a Nambu–Jona-Lasinio Model arXiv:2412.19244.

9. (with T. Koma) Antiferromagnetic Long-Range Order in a Lattice Fermion Model arXiv:2508.12421.

10. (with T. Koma and H. Yoshida) Superconductivity and Low Energy Excitations in an Attractive Hubbard Model arXiv:2509.19780.