Welcome to Geometric Flows, Summer Graduate School 2020 : June 15 - June 26

This two week summer graduate school is a collaboration between MSRI and the IACM-FORTH Institute in Crete. The purpose of the school is to introduce graduate students to some of the most important geometric evolution equations.

This is an area of geometric analysis that lies at the interface of differential geometry and partial differential equations. The lectures will begin with an introduction to nonlinear diffusion equations and continue with classical results on the Ricci Flow, the Mean curvature flow and other fully non-linear extrinsic flows. The lectures will conclude with recent developments related to the study of singularities and ancient solutions. There will be ample time for problem and research discussions between participants of all levels.

Suggested Prerequisites

Students are expected to have a basic (advanced undergraduate or beginning graduate) background on elliptic and parabolic partial equations and Classical Riemannian Geometry. More precisely the students are expected to have the following background:

  • A basic course on Partial Differential Equations such as: L.C. Evans, Partial Differential Equations, Chapters 2 and 5-7

  • A basic course on Riemannian Geometry such as: Manfredo do Carmo, Riemannian Geometry, Chapters 1-8 or John Lee, Riemannian Manifolds.

Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI. This summer graduate school is supported by the Stavros Niarchos Foundation.


Nicholas Alikakos

Professor of Mathematics

National and Kapodistrian University of Athens (University of Athens)

Panagiota Daskalopoulos

Professor of Mathematics

Columbia University

Main lecturers

Simon Brendle

Professor of Mathematics

Columbia University

Panagiota Daskalopoulos

Professor of Mathematics

Columbia University

Gerhard Huisken

Professor of Mathematics

University of Tübingen

Guest lecturers - Research discussion coordinators

Richard Hamilton

Professor of Mathematics

Columbia University

Natasa Sesum

Professor of Mathematics

Rutgers University

Research and problem discussions

Theodora Bourni

Assistant Professor of Mathematics

University of Tennessee

Beomjun Choi

Postdoctoral Research Fellow of Mathematics

University of Toronto

Kyeongsu Choi

CLE Moore Instructor of Mathematics

Massachusetts Institute of Technology

Panagiotis Gianniotis

Assistant Professor of Mathematics

University of Athens

Applications for admittance to the School - Eligibility

  • Students from US Academic Institutions need to be nominated through MSRI, see http://www.msri.org/web/msri/scientific/workshops/summer-graduate-school

  • Students from European Institutions need to apply through IACM-FORTH, see Online Application

  • Students from Greek Institutions are especially encouraged to apply. While the school is aimed for graduate students, a few especially advanced undergraduate students from Greek Universities (only) will be considered as well.

  • Hotel accommodations and/or lunch at the Cultural Center will be provided to qualified applicants. Please indicate your interest.