Tobias Holck Colding

Tobias Holck Colding

Cecil and Ida Green Distinguished Professor of Mathematics

Pure Mathematics Committee Chair

Phone: (617) 253-3215

Office: 2-369


Differential Geometry, Partial Differential Equations


Tobias Colding joined the MIT mathematics faculty as professor in 2005. He completed the Ph.D. under Christopher Croke at the University of Pennsylvania in 1992. Prior to coming to MIT, he served on the faculty of the Courant Institute NYU. Professor Colding studies problems in differential geometry, geometric analysis, PDEs and low-dimensional topology. He is a foreign member of the Royal Danish Academy of Science and Letters, and received an honorary professorship at the University of Copenhagen in 2006. He was elected Fellow of the American Academy of Arts & Sciences in 2008. At the 2010 Joint Mathematics Meeting, Colding received the AMS Oswald Veblen Prize in Geometry, jointly with William Minicozzi, "for their profound work on minimal surfaces." He was selected by the Department as the next holder of the Norman Levinson Professorship, 2009-2014. He was appointed Senior Scholar of the Clay Mathematics Institute, 2011-2012. In 2013, he was recognized for his commitment, service and scholarship when appointed the Cecil and Ida B. Green Distinguished Professorship of Mathematics. In 2016, Colding received the Carlsberg Foundation Research Prize for ground-breaking research in differential geometry and geometric analysis. For 2015-16, he received a second Senior Scholar appointment by the Clay Mathematics Institute. In 2017, he received the Simons Fellowship in Mathematics. He gave an Invited Address at the International Congress of Mathematicians (ICM) 1998 (Differential Geometry and Global Analysis); and a Plenary Address at ICM2022.

In search of stable geometric structures
Tobias Holck Colding and William P. Minicozzi II
Notices of the AMS, December 2019

Level Set Method: For Motion by Mean Curvature
Tobias Holck Colding and William P. Minicozzi II
Notices of the AMS, November 2016

Shapes of embedded minimal surfaces
Tobias Holck Colding and William P. Minicozzi II
Proceedings of the National Academy of Sciences, 2006

Disks that are double spiral staircases
Tobias Holck Colding and William P. Minicozzi II
Notices of the AMS, March 2003

Spaces with Ricci curvature bounds.
Tobias Holck Colding
Proceedings of the International Congress of Mathematicians, 1998.

The slides of my 2022 ICM lecture can be found here.