Federico Binda

Research

Research interest: Arithmetic and algebraic geometry. In particular: algebraic K-theory, p-adic cohomologies, (stable and motivic) homotopy theory, derived algebraic geometry.

Papers

• A motivic approach to rational p-adic cohomologies (with Alberto Vezzani). To appear in Regulators V, Contemporary Mathematics. arXiv:2508.16196 [math.AG] (28 pages, 2025).
• Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square (with Tommy Lundemo, Alberto Merici, and Doosung Park). To appear in Transactions of the AMS. arXiv:2408.15627 [math.AG] (22 pages, revised 2025).
• Logarithmic motivic homotopy theory (with Doosung Park and Paul Arne Østvaer). To appear in Memoirs of the AMS (130 pages, revised July 2025). arXiv:2303.02729 [math.AG].
• On the p-adic weight-monodromy conjecture for complete intersections in toric varieties (with Hiroki Kato and Alberto Vezzani). To appear in Inventiones Math. arXiv:2207.00369 [math.AG] (36 pages, revised 2025). An Oberwolfach report on this result is available here.
• On the logarithmic slice filtration (with Doosung Park and Paul Arne Østvaer). To appear in Geometry & Topology (G&T). arXiv:2403.03056 [math.AG] (32 pages, 2024).
• Motivic monodromy and p-adic cohomology theories (with Martin Gallauer and Alberto Vezzani). To appear in J. Eur. Math. Soc. (JEMS). arXiv:2306.05099 [math.AG] (47 pages, 2023).
• A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology (with Tommy Lundemo, Doosung Park and Paul Arne Østvaer). Advances in Math. Volume 435, Part A, (2023). Preprint version | Published version.
• Logarithmic prismatic cohomology via logarithmic THH (with Tommy Lundemo, Doosung Park and Paul Arne Østvaer). Int. Math. Res. Not. IMRN. Volume 2023, Issue 22, November 2023, Pages 19641–19696. Preprint version | Published version.
• Derived log Albanese sheaves (with Alberto Merici and Shuji Saito). Advances in Math. Volume 417 (2023). Preprint version | Published version.
• Suslin homology via cycles with modulus and applications (with Amalendu Krishna). Transactions of the AMS. Volume 376, Number 2, (February 2023), pp. 1445–1473. Preprint version | Published version.
• On the cohomology of reciprocity sheaves (with Kay Rülling and Shuji Saito). Forum of Mathematics, Sigma, 10, E72. (2022). Preprint version | Published version.
• Motives and homotopy theory in logarithmic geometry (with Doosung Park and Paul Arne Østvaer). Comptes Rendus Mathématique. Volume 360 (2022), pp. 717-727. Published version.
• Zero cycle groups on algebraic varieties (with Amalendu Krishna). J. de l'École Polytechnique – Mathématiques. Vol. 9 (2022), pp. 281-325. Preprint version | Published version.
• Triangulated categories of logarithmic motives over a field (with Doosung Park and Paul Arne Østvaer). Astérisque. Tome 433, pp. 280, (2022). Preprint version | Published version.
• Bloch's formula for 0-cycles with modulus and higher dimensional Class Field Theory (with Amalendu Krishna and Shuji Saito). J. Algebraic Geom. 32 (2023), 323-384. Preprint version | Published version.
• Connectivity and purity for logarithmic motives (with Alberto Merici). J. of the Inst. Math. Jussieu. Volume 22, Issue 1, January 2023, pp. 335 – 381. Preprint version (a small erratum is avaliable, ArXiv version updated accordingly) | Published version.
• Rigidity for relative 0-cycles (with Amalendu Krishna). Ann. Sc. Norm. Sup. Pisa Cl. Sci. (5) Vol. XXII (2021), 241-267. Preprint version | Published version.
• A motivic homotopy theory without A^1-invariance. Math. Zeitschrift, Volume 295, pages 1475–1519 (2020). Preprint version | Published version.
• Algebraic cycles with moduli and regulator maps (with Shuji Saito). J. of the Inst. of Math. Jussieu, Volume 18, Issue 6, November 2019, Pages 1233-1293. Preprint version | Published version.
• A cycle class map for zero cycles with modulus to higher relative K-groups. Documenta Math, Volume 23, Pages 407-444, May 2018. Preprint version | Published version.
• Torsion zero cycles with modulus on affine varieties. J. of Pure and App. Algebra, Volume 222, Issue 1, January 2018, Pages 61-74. Preprint version | Published version.
• Zero cycles with modulus and zero cycles on singular varieties (with Amalendu Krishna). Compositio Math., Volume 154, 1, January 2018, Pages 120-187. Preprint version | Published version.
• Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus (with Jin Cao, Wataru Kai and Rin Sugiyama). J. of Algebra, Volume 469, 1 January 2017, Pages 437–463. Preprint version | Published version.

Preprints

• On the p-adic deformation problem for the K-theory of semistable schemes (with Tommy Lundemo, Alberto Merici, and Doosung Park). arXiv:2601.14146 [math.AG] (22 pages, 2026).
• Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems (with Tommy Lundemo, Alberto Merici, and Doosung Park). arXiv:2312.13129 [math.AG] (51 pages, 2024).
• Descent problems for derived Azumaya algebras (with Mauro Porta). arXiv:2107.03914 [math.AG] (33 pages, Major revision 2023). Submitted.

Editorial Work

• Regulators V. Procdeedings of the Conference Regulators V, Pisa 2024. (with José Ignacio Burgos Gil, James Lewis, Deepam Patel, and Gregory Pearlstein). Contemporary Mathematics, American Mathematical Society, To appear (2026).
• Motivic homotopy theory and refined enumerative geometry. Proceedings of the Conference MREG at the University of Duisburg-Essen in 2018. Volume 745 of Contemporary Mathematics, American Mathematical Society. F. Binda, M. Levine, M. T. Nguyen, O. Röndigs editors. April 2020.