Dr Ramiro Lafuente

Senior Lecturer

Mathematics
Faculty of Science
r.lafuente@uq.edu.au
+61 7 336 57506

Overview

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.

Research Interests

  • 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.

Qualifications

  • Doctor in Mathematics, Universidad Nacional de Cordoba

Publications

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Grants

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Supervision

  • Doctor Philosophy

  • Master Philosophy

  • Doctor Philosophy

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Available Projects

  • 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.

  • 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.

View all Available Projects

Publications

Journal Article

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

Possible Research Projects

Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.

  • 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.

  • 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.