Title: Uniform rectifiability via perimeter minimization
Lecturer: Tatiana Toro
L. C. Evans and R. F. Gariepy, Measure Theory and Fine Properties of Functions, Revised Edition. Textbooks in Mathematics. CRC Press, Boca Raton FL 2015.
F. Maggi, Sets of Finite Perimeter and Geometric Variational Problems, An introduction to geometric measure theory. Cambridge Studies in Advanced Mathematics, 135. Cambridge University Press, Cambridge 2012.
M. Spivak, Calculus on manifolds : a modern approach to classical theorems of advanced calculus. Westview Press, Boulder, 1998.
Title: Ancient solutions to Geometric Flows
Lecturer: Toti Daskalopoulos
L. Evans, Partial Differential Equations. Second Edition. Graduate Studies in Mathematics, 19. AMS, Providence RI 2010.
D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order. Reprint of the 1998 edition. Classics in Mathematics. Springer Verlag, 2001.
B. Chow and D. Knopf, The Ricci Flow: An Introduction. Mathematical Surveys and Monographs, 110. AMS, Providence RI 2004.
K. Ecker, Regularity Theory for Mean Curvature Flow. Progress in Nonlinear Differential Equations and their Applications, 57. Birkhauser Boston Inc., 2004.