School of Mathematics and Physics

Associate Professor Ramiro Lafuente

ARC Future Fellow
School of Mathematics and Physics
+61 7 336 57506
Building 69, Room 717
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Researcher biography

Ramiro grew up in Argentina and found an early passion for mathematics as a high school student by participating in the Maths and Programming Olympiads. He 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, he 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). He also spent three months at MSRI in Berkeley, California, in 2016. Since mid-2018, he has been working at the School of Maths and Physics at UQ.

Publications

Book Chapter (1)
Journal Articles (17)

Book Chapter

Böhm, C. and Lafuente, R. A. (2021). Real geometric invariant theory. Differential geometry in the large. (pp. 11-49) edited by Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley. Cambridge, United Kingdom: Cambridge University Press. doi: 10.1017/9781108884136.003

Journal Articles

Böhm, Christoph and Lafuente, Ramiro A. (2025). Non-compact Einstein manifolds with unimodular isometry group. Journal of the European Mathematical Society. doi: 10.4171/jems/1654
Lafuente, Ramiro A. and Stanfield, James (2024). Hermitian manifolds with flat Gauduchon connections. Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 25 (4), 2258-2258. doi: 10.2422/2036-2145.202210_005
Böhm, Christoph and Lafuente, Ramiro A. (2023). Non-compact Einstein manifolds with symmetry. Journal of the American Mathematical Society, 36 (3), 591-651. doi: 10.1090/jams/1022
Arroyo, Romina M. and Lafuente, Ramiro A. (2022). On the signature of the Ricci curvature on nilmanifolds. Transformation Groups, 29 (1), 1-15. doi: 10.1007/s00031-021-09686-5
Boehm, Christoph and Lafuente, Ramiro A. (2022). Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds. Geometry and Topology, 26 (2), 899-936. doi: 10.2140/gt.2022.26.899
Lafuente, Ramiro A., Pujia, Mattia and Vezzoni, Luigi (2020). Hermitian curvature flow on unimodular Lie groups and static invariant metrics. Transactions of the American Mathematical Society, 373 (6), 3967-3993. doi: 10.1090/tran/8068
Böhm, Christoph and Lafuente, Ramiro A. (2019). The Ricci flow on solvmanifolds of real type. Advances in Mathematics, 352, 516-540. doi: 10.1016/j.aim.2019.06.014
Arroyo, Romina M. and Lafuente, Ramiro A. (2019). The long-time behavior of the homogeneous pluriclosed flow. Proceedings of the London Mathematical Society, 119 (1), 266-289. doi: 10.1112/plms.12228
Böhm, Christoph, Lafuente, Ramiro and Simon, Miles (2017). Optimal curvature estimates for homogeneous Ricci flows. International Mathematics Research Notices, 2019 (14), 4431-4468. doi: 10.1093/imrn/rnx256
Böhm, Christoph and Lafuente, Ramiro A. (2017). Immortal homogeneous Ricci flows. Inventiones mathematicae, 212 (2), 461-529. doi: 10.1007/s00222-017-0771-z
Arroyo, Romina M. and Lafuente, Ramiro A. (2017). The Alekseevskii conjecture in low dimensions. Mathematische Annalen, 367 (1-2), 283-309. doi: 10.1007/s00208-016-1386-1
Lafuente, Ramiro A. (2014). On homogeneous warped product Einstein metrics. Bulletin of the London Mathematical Society, 47 (1), 118-126. doi: 10.1112/blms/bdu103
Lafuente, Ramiro and Lauret, Jorge (2014). Structure of homogeneous Ricci solitons and the Alekseevskii conjecture. Journal of Differential Geometry, 98 (2), 315-347. doi: 10.4310/jdg/1406552252
Lafuente, Ramiro A. (2014). Scalar Curvature Behavior of Homogeneous Ricci Flows. The Journal of Geometric Analysis, 25 (4), 2313-2322. doi: 10.1007/s12220-014-9514-1
Arroyo, Romina M. and Lafuente, Ramiro (2014). Homogeneous Ricci solitons in low dimensions. International Mathematics Research Notices, 2015 (13), 4901-4932. doi: 10.1093/imrn/rnu088
Lafuente, R. and Lauret, J. (2014). On homogeneous Ricci solitons. The Quarterly Journal of Mathematics, 65 (2), 399-419. doi: 10.1093/qmath/hat028
Lafuente, Ramiro A. (2013). Solvsolitons associated with graphs. Advances in Geometry, 13 (2), 255-275. doi: 10.1515/advgeom-2012-0032

Areas of research

Geometric and nonlinear analysis
Pure mathematics