Guido Arnone

1. G. Arnone, D. Mukherjee, T. Nikolaus, Bredon sheaf cohomology. Preprint (2026). arXiv

2. G. Arnone, G. Cortiñas, D. Mukherjee, Homology of Steinberg algebras. Journal of the London Mathematical Society (2026). doi, arXiv

3. G. Arnone, Graded homotopy classification of Leavitt path algebras. Revista Matemática Iberoamericana (2025). doi, arXiv

4. G. Arnone, Lifting morphisms between graded Grothendieck groups of Leavitt path algebras. Journal of Algebra (2023). doi, arXiv

5. G. Arnone, G. Cortiñas, Graded K-theory and Leavitt path algebras. Journal of Algebraic Combinatorics (2022). doi, arXiv

6. G. Arnone, G. Cortiñas, Non-existence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices. Journal of Algebra and its Applications (2022). doi, arXiv

Selected talks

• K-theory of étale groupoids.
  Oberseminar Topologie, Universität Münster, October 2025.

• ∞-categories and homological algebra.
  Preliminary minicourse for the CIMPA school K-theory and operator algebras, La Plata and Buenos Aires, Argentina, July 2025.

• Homology of groupoid algebras (in Spanish).
  Annual reunion of the Argentine Mathematical Union, Catamarca, Argentina, September 2024.

• Classification of Leavitt path algebras: bivariant K-theory techniques.
  CIMPA School Frontiers in Leavitt Path Algebras and related topics, July 2024.

• Graded bivariant K-theory and the classification of Leavitt path algebras.
  Oberwolfach Research Institute for Mathematics, Germany, March 2024.

• Towards a graded classification of Leavitt path algebras.
  Seminari Teoria d'Anells, Universitat Autònoma de Barcelona, January 2024.

• Graded homotopy classification of Leavitt path algebras.
  Research Center for Theoretical Physics, Philippines, December 2023.

• Graded K-theory and lifting of homomorphisms between Leavitt path algebras (in Spanish).
  Encuentro de K-teoría. Montevideo, April 2022.

• Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices.
  South Atlantic Noncommutative Geometry Seminar, August 2021. 

Teaching