European Doctorate School of Differential Geometry

Highly accomplished international mathematicians will deliver Plenary Talks and Mini-Courses on the latest topics of interest in the field of Differential Geometry.

• 

  Lucas Ambrozio

  Associate Researcher at IMPA since October 2020. He obtained his Ph.D. at IMPA under Fernando Codá’s supervision in March 2014. He also held post-doctoral roles at Imperial College and the University of Warwick. His research focuses on solving geometric problems, especially in Minimal Surfaces, and analyzing their properties within the underlying geometric space.

• 

  Gioacchino Antonelli

  Antonelli defended his PhD thesis at Scuola Normale Superiore di Pisa under the supervision of profs. L. Ambrosio and E. Le Donne. Currently, he is an Assistant Professor/Courant Instructor at the Courant Institute (NYU). He is mainly active in the fields of SubRiemannian geometry, Geometric Measure Theory, and Geometric Analysis. Recently, he has become interested in questions about Geometric Group Theory.

• 

  Gerárd Besson

  Director of Research at the C.N.R.S. He began his career under the supervision of M. Berger, working on questions about the spectrum of the Laplacian of Riemannian varieties. This led him to other aspects of Riemannian geometry, such as isoperimetric inequalities and ergodic geometry.

• 

  Alexander Bobenko

  Professor at the Institut für Mathematik (TU Berlin, Germany). His fields of interest include geometry, mathematical physics and applications - in particular differential geometry, discrete differential geometry, integrable systems, Riemann surfaces, and geometry processing.

• 

  Theodora Bourni

  Associate Professor at the University of Tennessee Knoxville. Her research is in the area of geometric analysis with particular interest in geometric flows and minimal surfaces.

• 

  Reto Buzano

  Associate Professor in the Differential and Complex Geometry group at the Università degli Studi di Torino (UniTo). Previously, he worked at Queen Mary University, Imperial College London, Warwick University, and the Scuola Normale Superiore di Pisa, after obtaining my PhD from ETH Zürich. His main research interest lies on geometric flows, minimal surfaces and higher dimensional conformal geometry.

• 

  Giada Franz

  Giada Franz started her PhD studies at ETH Zürich in September 2018 after having obtained her Laurea Specialistica in Mathematics from Università di Pisa. She successfully defended her thesis entitled Contributions to the theory of free boundary minimal surfaces in June 2022, before joining the faculty of MIT as CLE Moore Instructor.

• 

  Nicolaos Kapouleas

  Professor at Brown University. His research focuses on existence questions and the geometric properties of minimal surfaces and other geometric objects.

• 

  Daniel Ketover

  Assistant Professor at Rutgers (New Brunswick) working in geometric analysis. He obtained his PhD under the direction of Toby Colding at MIT in 2014.

• 

  Paul Laurain

  Paul Laurain is associate professor at the University of Paris and at the Ecole Normale Supérieure. He completed his thesis about CMC surfaces under the supervision of Olivier Druet. He is interested in various questions of geometric analysis, such as harmonic maps, Willmore surfaces or Yang-Mills connections.

• 

  Claude R. LeBrun

  Claude R. LeBrun holds the position of Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in complex and differential geometry. He is the namesake of the LeBrun manifolds, a family of self-dual manifolds that he discovered in 1989 and that was named after him by Michael Atiyah and Edward Witten.

• 

  Laurent Mazet

  Professor at University of Tours. His research interests deal with the geometry of submanifolds, minimal surface theory and the geometric PDEs associated to these studies.

• 

  Ana Menezes

  Assistant Professor at Princeton University. She obtained her PhD at IMPA under the supervision of Professor Harold Rosenberg in August 2013. She held a postdoctoral position at Université Marne-la-Vallée in Paris supervised by Laurent Hauswirth before joining Princeton University as an Instructor in 2014.

• 

  Vicente Miquel

  Professor of the Dept. of Geometry and Topology at the University of Valencia. His research has always been in the area of Riemannian Geometry, but in recent years he has focused on the study of topics related to extrinsic geometric flows, maintaining also an interest in isoperimetric problems and boundedness of the first eigenvalue of the Laplacian.

• 

  Connor Mooney

  Pr. Mooney is currently Associate Professor and Chancellor’s Fellow Department of Mathematics at UC Irvine. He obtained his Ph. D at Columbia University in 2015 with primary focus on geometric PDEs under the direction of O. Savin.

• 

  Romain Petrides

  Assistant professor at Université Paris Cité, his research focuses on variational aspects of spectral geometry, harmonic maps, minimal surfaces and analysis of PDEs related to conformal geometry.

• 

  Tristan Rivière

  Professor of Dept. Mathematics at ETH Zürich. His research interests include partial differential equations in physics and differential geometry. His work focuses in particular on non-linear phenomena, formation of vortices, energy quantization and regularity issues.

• 

  Antonio Ros

  Professor of the Dept. of Geometry and Topology at Universidad de Granada. His research in differential geometry focuses on the study of surfaces and problems associated with mean curvature (minimal and constant mean curvature surfaces, isoperimetric problem).

• 

  Felix Schulze

  Professor of the Mathematics Institute at University of Warwick. His work is in Differential Geometry, Partial Differential Equations and Geometric Analysis. He is especially interested in geometric flows, minimal surfaces and Willmore surfaces.

• 

  Andrea Seppi

  Andrea Seppi is a CNRS researcher at Université Grenoble Alpes. His research positions at the interface of differential geometry and geometric topology, focusing on the study of Riemannian and pseudo-Riemannian manifolds, and more generally geometric structures in the sense of Thurston, and relations with submanifolds theory.

• 

  Gabriella Tarantello

  Gabriella Tarantello is an Italian mathematician known for her work in partial differential equations, differential geometry, and gauge theory. She is currently a professor at the University of Rome Tor Vergata. Tarantello earned her Ph.D. at New York University and has held various academic positions both in the United States and Italy throughout her career.

• 

  Martin Traizet

  Martin Traizet is Maître de Conférences at the university of Tours. He is an expert in minimal and constant mean curvature surfaces, as well as in overdetermined elliptic problems.

• 

  Francisco Urbano

  Professor of the Dept. Geometry and Topology at University of Granada. His research has been focused in submanifold theory, mainly in problems related with the mean curvature and the stability operator.

• 

  Theodoros Vlachos

  Professor of the Department of Mathematics at the University of Ioannina in Greece. His research in Differential geometry focuses on rigidity and deformability of isometric immersions, minimal submanifolds and the investigation of relationship between geometry and topology of submanifolds.

• 

  David Wiygul

  David received his PhD from Brown University under the supervision of Nicos Kapouleas, and he is currently a researcher at the University of Trento. The majority of his work has focused on questions concerning existence, uniqueness, and the Morse index of closed minimal surfaces in the round 3-sphere and of free-boundary minimal surfaces in the Euclidean 3-ball.