PhD Student
Research group on Algebraic Topology
Department of Mathematics – University of Buenos Aires
Contact: abarreto at dm.uba.ar
Research interests: Topological group theory, combinatorics.
Publications
- (with E.G. Minian) Local indicability of groups with homology circle presentations.
To appear, Algebraic and Geometric Topology (2023). arXiv - (with J.A. Barmak) Smallest posets with given cyclic automorphism group.
Algebraic Combinatorics (2023). DOI: 10.5802/alco.372
Thesis
- Sobre los posets más chicos con grupo de automorfismo abeliano dado
Licentiate thesis, Departamento de Matemática, FCEyN-UBA, 2021. pdf
Talks
- Conferences and workshops
- Métodos combinatorios para estudiar la indicabilidad local de grupos
Annual reunion of the Argentine Mathematical Union, Catamarca, Argentina, September 2024. - Grupos localmente indicables que admiten presentaciones con la homología del círculo
Annual reunion of the Argentine Mathematical Union, Salta, Argentina, September 2023. - On the asphericity of some classes of LOTs of diameter 4
3rd International Meeting on Geometric Group Theory and Low Dimensional Topology. - Posets de tamaño mínimo con grupo de automorfismos dado
Annual reunion of the Argentine Mathematical Union, Neuquén, Argentina, September 2022.
- Métodos combinatorios para estudiar la indicabilidad local de grupos
- Seminars
- Inmersiones no-positivas
Topology Seminar at University of Buenos Aires, December 2024. - Asfericidad de LOTs y grupos localmente indicables
Topology Seminar at University of Buenos Aires, June 2023. - Posets de tamaño mínimo con grupo de automorfismos dado
Topology Seminar at University of Buenos Aires, April 2022.
- Inmersiones no-positivas
Teaching
- As a Jefe de Trabajos Prácticos
- Second semester 2024 - Topología.
- First semester 2024 - Análisis Funcional.
- Second semester 2023 - Elementos de cálculo numérico.
- First semester 2023 - Probabilidades y estadística.
- As a graduate teaching assistant
- First semester 2022 - Análisis funcional.
- Second semester 2022 - Taller de álgebra I.
- As an undergraduate teaching assistant
- First semester 2021 - Análisis funcional.
- Second semester 2021 - Álgebra III.
- First semester 2020 - Matemática I para biólogos.
- Second semester 2020 - Álgebra II.
- First semester 2019 - Cálculo numérico para biólogos.
- Second semester 2019 - Álgebra I.