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, Non-existence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices. Journal of Algebra and its Applications (2022). doi, arXiv
Talks
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An introduction to ample groupoids and their homology.
VII CAECE-UBA Algebra Meeting, Buenos Aires, Argentina, November 2024. -
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. 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).