Valeria Gutiérrez
Hello! I am a PhD student in Mathematics at Facultad de Matemática, Astronomía, Física y Computación (FAMAF), Universidad Nacional de Córdoba (UNC), since 2020. I work under the supervision of Dr. Jorge Lauret and my fellowship is supported by CONICET.
My research area is Differential Geometry and I am interested in the stability of Einstein homogeneous manifolds. Currently, I am studying the stability of the standard metric in some homogeneous spaces in which this metric is Einstein. To carry out my research I use tools from Lie Theory and Geometric Invariant Theory applied to geometry.
Here is my CV
valeria.gutierrez@unc.edu.ar
Articles
"Generalized Ricci flow on aligned homogeneous spaces", preprint (2024) arXiv
"Stability of standard Einstein metrics on homogeneous spaces of non-simple Lie groups", with Jorge Lauret. Collectanea Math. (2023). Article.
"On Ricci negative derivations", Advances in Geometry, vol. 22, no. 2, 2022, pp. 199-214. Article.
Talks videos and slides
Talk at Differential Geometry Seminar of Córdoba, FAMAF (Facultad de Matemática, Astronomía, Fisica y Computación) – UNC, Argentina. Title: “Stability of standard metric on some compacts homogeneous spaces”. October 2022.
Talk at Oberseminar Differential geometrie, Fachbereich Mathematik und Informatik - Universität Münster.
Title: “Stability of standard metric on Ledger-Obata spaces”. September 2022.Short communication and poster presentation at Mathematical Congress of the Americas . Title: "On Ricci negative derivations". July 2021. Video. pdf
Short communication at Monteiro´s Conference. Title: “On Ricci negative derivations” (Spanish). May 2021. Video
Short communication at Virtuma 2020 - Annual meeting of the Unión Matemática Argentina. . Title: “On Ricci negative derivations” (Spanish). September 2020.
Research visits
Visit to International Center for Theoretical Physics (ICTP) - Trieste, Italy. August 21st to September 18th, 2023. To do research as a student of Simons Associate, Dr. Jorge Lauret.
Short research visit at Fachbereich Mathematik und Informatik - Universität Münster. September 26- 30, 2022. Invited by Prof. Dr. Christoph Böhm.
Teaching
Teaching Assistant at FAMAF, UNC. From August 2022.
Teaching Assistant at FAMAF, UNC. From March 2021 to February 2022.
Undergraduate Teaching Assistant at FAMAF, UNC. From March 2019 to February 2020.
Undergraduate Teaching Assistant at Facultad de Ciencias Exactas y Tecnología, Universidad Nacional de Tucumán. From July 2015 to March 2017.
Graduate Courses
“Stability of homogeneous Einstein manifolds”– FAMAF - UNC 2022.
“Lie Groups and Lie Algebras” . FAMAF - UNC. Online 2021.
“Compact Lie Groups”. Universidad Nacional del Sur, Bahía Blanca. Online 2021.
“Riemannian Geometry”. FAMAF - UNC. Online 2021.
Some conferences I attended
9th HEIDELBERG LAUREATE FORUM 2022
Held in Heidelberg, Germany. September 18–23, 2022.
Selected from several hundred applicants through an international, scientific selection process.
CLAM VI 2021
Congreso Latinoamericano de Matemáticos- Uruguay, September 2021. Online.WORKSHOP ON COMPACT HOMOGENEOUS EINSTEIN MANIFOLDS.
September 2021, Online.G2 WORKSHOP
Universidad Nacional de Córdoba - Facultad de Matemática, Astronomía y Física. February 14th 2019.ANNUAL MEETING OF THE UNIÓN MATEMÁTICA ARGENTINA (UMA)
September of 2015, 2016 and 2018.
Fellowships and Awards
CONICET Fellowship for graduate studies. Since April 1st, 2020.
Estı́mulo a las Vocaciones Cientı́ficas (Consejo Interuniversitario Nacional) Fellowship, April 2019 to March 2020.
Premio Universidad con "Mención Especial", Universidad Nacional de Córdoba, December 2020.