Hello! I am an Argentinian mathematician who recently completed my Ph.D. at Facultad de Matemática, Astronomía, Física y Computación (FAMAF), Universidad Nacional de Córdoba (UNC). I defended my thesis in March 2025 under the supervision of Dr. Jorge Lauret, with support from CONICET.
My research area is Differential Geometry and I am interested in the stability of Einstein homogeneous manifolds. 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
"Stability of non-diagonal Einstein metrics on homogeneous spaces H x H/ ΔK ", Differential Geometry and its Applications, vol. 101, 2025, 102295. Article
"Generalized Ricci flow on aligned homogeneous spaces", Proceedings of the Edinburgh Mathematical Society, vol 68 , Issue 1, 2025, pp. 226 - 246. Article
"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.
Short talk at the Special Session "Special Geometries and Gauge Theory" of the Mathematical Congress of the Americas 2025. Title: "Generalized Ricci flow on aligned homogeneous spaces." July 2025, Miami, United States.
Talk at the AmSul/AmSur Geometry Webinar. Title: "Stability of Einstein metrics on homogeneous spaces of non-simple Lie groups". April 25th, 2025.
Short talk at Joint Workshop Marburg-Cordoba, Lie Theory in Geometry, Algebra and Analysis. Title: "Generalized Ricci flow on aligned homogeneous spaces", March 2025, Córdoba, Argentina.
Talk at Encuentro Regional de Geometría, Title: "Estabilidad de métricas de Einstein en espacios homogéneos H × H / ΔK" (Spanish), December 2024, Rosario, Argentina.
Talk at Virtual Seminar on Geometry with Symmetries, Title: "Stability of (generalized) Einstein Metrics on aligned Homogeneous Spaces", September 2024. Online. video
Talk at Differential geometry seminar of Córdoba, FAMAF (Facultad de Matemática, Astronomía, Fisica y Computación) - UNC, Argentina. Title: "Flujo de Ricci generalizado en espacios homogéneos compactos" (Spanish) March 2024.
.Poster presentation at "Special Holonomy and Geometric Structures on Complex Manifolds" conference. Title: "Generalized Ricci flow on aligned homogeneous spaces". March 2024. IMPA - Río de Janeiro, Brazil.
Talk at Differential Geometry Seminar of Córdoba, FAMAF – UNC, Argentina. Title: “Estabilidad de la métrica estándar en ciertos espacios homogeneos compactos”. (Spanish) 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.
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 Assistant at FAMAF, UNC. From August 2022 to July 2024.
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.
“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.
"Joint Workshop Marburg-Cordoba, Lie Theory in Geometry, Algebra and Analysis", March 2025, FAMAF, Córdoba, Argentina.
"Encuentro Regional de Geometría", December 2024 - Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Rosario, Argentina.
"Special Holonomy and Geometric Structures on Complex Manifolds" conference.
March 2024. IMPA - Río de Janeiro, Brazil.
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.
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.