R. Bezrukavnikov, P. Boixeda Alvarez, M. McBreen, Z. Yun; Affine Springer fiber and the small quantum group, arXiv:2604.11966

P. Boixeda Alvarez, C. Morton-Ferguson; Weight modules and gluing of sheaves on the flag variety, arXiv:2509.25156

R. Bezrukavnikov, P. Boixeda Alvarez, T. Feng, B. Le Hung; Appendix to: Mirror Symmetry and the Breuil-Mezard Conjecture, arXiv:2310.07006

R. Bezrukavnikov, P. Boixeda Alvarez, M. McBreen, Z. Yun; Non-abelian Hodge moduli spaces and homogeneous ane Springer fibers. arXiv:2209.14695, Pure and Applied Mathematics Quarterly, 21(1), 61-130. 

 R. Bezrukavnikov, P. Boixeda Alvarez, P. Shan, E. Vasserot; A geometric realization of the center of the small quantum group. arXiv:2205.05951, to appear in Journal of the Institute of Mathematics of Jussieu

P. Boixeda Alvarez, I. Losev; Affine Springer Fibers, Procesi bundles, and Cherednik algebras. arXiv:2104.09543, Duke Mathematical Journal (Volume 173, Issue 5, pages 807–872) 

P. Boixeda Alvarez, L. Ying, G, Yue; Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents. arXiv:2007.14501, To Appear in Representation theory

P. Boixeda Alvarez; Fixed points and components of equivalued affine Springer fibers. arXiv:1910.04780

P. Boixeda Alvarez; Toward partial Verma functors of U[r](g) and related results, arXiv:1911.07097

P. Boixeda Alvarez; Affine Springer fibers and the representation theory of small quantum groups and related algebras, MIT PhD thesis

Quantum Topobology Biennial (QTB), 2024: The center of the small quantum group and affine springer fibers, recording

IAS workshops, 2020, "The center of the small quantum group", recording

IAS post-doc talks, 2020, "Affine Springer fibers and the small quantum group", recording