Overview
Background
I was born in Argentina and found an early passion for mathematics as a high school student by participating in the Math and Programming Olympiads. I obtained an undergraduate degree from La Plata University in 2009, and a PhD in mathematics from Cordoba University under the supervision of Prof. Jorge Lauret in 2013. After that I was a postdoc in the Differential Geometry group at the University of Münster in Germany (first as a Humboldt fellow, and then as Prof. Wilking's assistant). I also spent three months at MSRI in Berkeley, California during 2016. Since mid 2018, I am a Lecturer at the School of Maths and Physics in UQ.
Availability
- Associate Professor Ramiro Lafuente is:
- Available for supervision
Fields of research
Qualifications
- Doctor of Philosophy, Universidad Nacional de Cordoba
Research interests
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Differential Geometry
I enjoy thinking about problems in Differential Geometry, especially those involving symmetry. These problems are usually connected with many other areas of mathematics which are also of my interest, such as geometric analysis, differential equations, Lie theory, and invariant theory.
Supervision
Availability
- Associate Professor Ramiro Lafuente is:
- Available for supervision
Before you email them, read our advice on how to contact a supervisor.
Available projects
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Geometric flows in Hermitian geometry
There are a number of challenging projects being offered in the area of complex geometry, with an emphasis in geometric evolution equations with symmetries. With the aim of generalising the Ricci flow to Hermitian, non-Kaehler geometries, these evolution equations have gained significant interest in recent years, and most basic questions about them are still unanswered.
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Riemannian geometry with symmetries
Despite the field's long history, many important questions in Riemannian geometry involving symmetry assumptions remain open to this day. An example is the long-standing Alexeevskii conjecture (1970's) on homogeneous Einstein spaces. With new tools having been developed in recent years by the supervisor and his collaborators, among others, this is an inviting time to tackle some of these problems.
Supervision history
Current supervision
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Master Philosophy
Special Riemannian manifolds with symmetry
Principal Advisor
Other advisors: Associate Professor Masoud Kamgarpour
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Doctor Philosophy
Geometric flows with symmetry
Principal Advisor
Other advisors: Professor Artem Pulemotov
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Doctor Philosophy
Geodesics on Homogeneous Spaces and connections to the Euler Fluid Equations
Associate Advisor
Other advisors: Professor Artem Pulemotov
Completed supervision
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2023
Doctor Philosophy
Curvature Problems in Hermitian Geometry
Principal Advisor
Other advisors: Professor Artem Pulemotov
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2025
Doctor Philosophy
A computational approach to 4-manifold topology
Associate Advisor
Other advisors: Professor Benjamin Burton
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2022
Master Philosophy
Arithmetic geometry of character stacks and their E-polynomials
Associate Advisor
Other advisors: Associate Professor Masoud Kamgarpour
Media
Enquiries
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