Dr Reto Buzano
Reader in Pure Mathematics
Email: r.buzano@qmul.ac.ukTelephone: +44 (0)20 7882 5517Room Number: Mathematical Sciences Building, Room: MB-314Website: http://www.retobuzano.comOffice Hours: By e-mail appointment
Profile
Reto Buzano (born Reto Mueller) is a Reader in Pure Mathematics at QMUL as well as Associate Professor in Geometry at University of Torino. His research is in geometric analysis, nonlinear geometric partial differential equations and the calculus of variations with emphasis on geometric flows (Ricci Flow, Harmonic Ricci Flow, Mean Curvature Flow), minimal surfaces, and higher-dimensional conformal geometry. His research has been supported by several funding bodies including EPSRC and the London Mathematical Society.
Reto obtained his PhD in Mathematics from ETH Zurich in 2009. He has then held positions at the Scuola Normale Superiore di Pisa, the University of Warwick, and Imperial College London, before joining the School of Mathematical Sciences at Queen Mary University of London in 2013.
Research
Research Interests:
Geometric analysis, nonlinear geometric partial differential equations and the calculus of variations, in particular geometric flows (Ricci Flow, Harmonic Ricci Flow, Mean Curvature Flow), minimal surfaces, and higher-dimensional conformal geometry.
Examples of research funding:
- EPSRC Grant "Advances in Mean Curvature Flow: Theory and Applications" (£ 613,223), January 2019 - December 2021.
- EPSRC Grant "The Formation of Singularities in Ricci Flow and Harmonic Ricci Flow" (£ 100,521), February 2015 - April 2017.
Publications
- (2022), A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature Calculus of Variations and Partial Differential Equations $nameOfConference(2021), Geometric convergence results for closed minimal surfaces via bubbling analysis Calculus of Variations and Partial Differential Equations $nameOfConference(2021), Noncompact self-shrinkers for mean curvature flow with arbitrary genus $nameOfConference(2021), The moduli space of two-convex embedded spheres Journal of Differential Geometry $nameOfConference(2020), Gaussian upper bounds for the heat kernel on evolving manifolds $nameOfConference(2019), Bubbling analysis and geometric convergence results for free boundary minimal surfaces Journal de l'École polytechnique. Mathématiques $nameOfConference(2019), The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds Communications in Analysis and Geometry $nameOfConference(2019), The Higher-Dimensional Chern–Gauss–Bonnet Formula for Singular Conformally Flat Manifolds The Journal of Geometric Analysis $nameOfConference(2018), Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area Transactions of the American Mathematical Society $nameOfConference(2019), The Moduli Space of Two-Convex Embedded Tori International Mathematics Research Notices $nameOfConference(2017), Smooth long-time existence of Harmonic Ricci Flow on surfaces JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES $nameOfConference(2015), A note on the compactness theorem for 4d Ricci Shrinkers Proceedings of the American Mathematical Society $nameOfConference(2015), Perelman's entropy functional at Type i singularities of the Ricci flow Journal fur die Reine und Angewandte Mathematik $nameOfConference(2014), Dynamical stability and instability of Ricci-flat metrics Mathematische Annalen $nameOfConference(2012), Ricci flow coupled with harmonic map flow Annales Scientifiques de l'Ecole Normale Superieure $nameOfConference(2011), A Compactness Theorem for Complete Ricci Shrinkers Geometric and Functional Analysis $nameOfConference(2011), On Type-I singularities in Ricci flow Communications in Analysis and Geometry $nameOfConference(2010), Monotone volume formulas for geometric flows Journal fur die Reine und Angewandte Mathematik $nameOfConference(2006), Differential Harnack Inequalities and the Ricci Flow $nameOfConference
Supervision
Gianmichele Di Matteo