About me
I am a doctoral student at Universidad de Buenos Aires. My advisor is Guillermo Cortiñas.
My research interests are Leavitt path algebras and (bivariant, graded) algebraic $K$theory.
You can contact me at garnone at dm.uba.ar.
Publications and Preprints
 G. Arnone, Graded homotopy classification of Leavitt path algebras (2023). Accepted for publication at Revista Matemática Iberoamericana. arXiv
 G. Arnone, Lifting morphisms between graded Grothendieck groups of Leavitt path algebras. Journal of Algebra (2023). doi, arXiv
 G. Arnone, G. Cortiñas, Graded $K$theory and Leavitt path algebras. Journal of Algebraic Combinatorics (2022). doi, arXiv
 G. Arnone, G. Cortiñas, Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices. Journal of Algebra and its Applications (2022). doi, arXiv
Talks

Classification of Leavitt path algebras: bivariant $K$theory techniques
CIMPA School Frontiers in Leavitt Path Algebras and related topics, July 2024. Slides. 
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. Slides. 
Graded homotopy classification of Leavitt path algebras.
South Atlantic Noncommutative Geometry Seminar, October 2023. 
Towards a graded classification of Leavitt path algebras (in Spanish).
Annual reunion of the Argentine Mathematical Union, Salta, Argentina, September 2023. Slides. 
Bivariant $K$theory and the graded classification question for Leavitt path algebras (in Spanish).
Seminario de Álgebra homológica e hierbas afines (SAHHAS), Buenos Aires, April 2023. 
Lifting morphisms between graded Grothendieck groups of Leavitt path algebras (in Spanish).
Annual reunion of the Argentine Mathematical Union, Neuquén, Argentina, September 2022 
Graded $K$theory and lifting of homomorphisms between Leavitt path algebras (in Spanish).
Encuentro de $K$teoría. Montevideo, April 2022. 
Hermitian graded $K$theory (in Spanish).
XXVIII Encuentro Rioplatense de Álgebra y Geometría. La Plata, December 2021. 
Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices (in Spanish).
Annual reunion of the Argentine Mathematical Union, September 2021. 
Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices.
South Atlantic Noncommutative Geometry Seminar, August 2021. Slides. 
Leavitt path algebras and graded hermitian bivariant $K$theory (in Spanish).
XVI Congreso Dr. Antonio Monteiro, May 2021. 
Leavitt path algebras and graded hermitian bivariant $K$theory (in Spanish).
South Atlantic Noncommutative Geometry Seminar, April 2021.
Teaching
 Second semester 2024  Cálculo Avanzado.
 First semester 2024  Álgebra Lineal.
 Second semester 2023  Álgebra II.
 First semester 2023  Álgebra II.
 Second semester 2022  Topología.
 First semester 2022  Análisis Complejo.
 Second semester 2021  Topología.
 Second semester 2021  Álgebra I.
 First semester 2021  Taller de Álgebra I.
 Second semester 2020  Cálculo Avanzado.
 First semester 2020  Álgebra II.
 Second semester 2019  Topología.
 First semester 2019  Probabilidad y Estadística (C).