Peter Smillie

Office 3/321, 3rd floor
Mathematical Institute
Heidelberg University
Im Neuenheimer feld 205
69120 Heidelberg
Germany

Email: psmillie@mathi.uni-heidelberg.de

I am a Junior Professor at the Universität Heidelberg. Before that I was a Bateman instructor at Caltech.

My research is in differential geometry, Teichmüller theory, and geometric structures. I am also interested in general relativity and other connections to physics.

In fall 2022, I am teaching a seminar course on minimal surfaces at Heidelberg.

I am co-organizing Heidelberg's HEGL community seminar.

Publications and preprints

• Unstable minimal surfaces in symmetric spaces of non-compact type. (with N. Sagman).
• Completeness of convex entire surfaces in Minkowski 3-space. (with F. Bonsante and A. Seppi).
• Unstable minimal surfaces in R^n and in products of hyperbolic surfaces. (with V. Markovic and N. Sagman).
• Complete CMC hypersurfaces in Minkowski (n+1)-space. (with F. Bonsante and A. Seppi). To appear in Comm. Anal. Geom.
• Entire surfaces of constant curvature in Minkowski 3-space. (with F. Bonsante and A. Seppi). Math. Ann. 374 (2019), 1261-1309.
• On the bordification of outer space. (with K.-U. Bux, K. Vogtmann). J. London Math Soc. 98, Issue 1 (2018), 12-34.
• The number of convex triangulations of the sphere by triangles, squares, or hexagons. (with P. Engel). Geom. Topology. 22, No. 5 (2018), 2839-2864.

Recorded talks

• HITS Colloquium on counting Fullerenes (Youtube)

Teaching in Heidelberg

• Seminar on minimal surfaces

Teaching at Caltech

• Math 109c, Spring 2022
• Math 157b, Winter 2022
• Math 157a, Fall 2021
• Math 191c, Harmonic maps and integrable systems, Spring 2021
• Math 109b, Winter 2021
• Math 109a, Fall 2020
• Math 157a, Winter 2020
• Math 109b, Winter 2020
• Math 191c, Harmonic Maps, Fall 2019
• Math 157a, Winter 2019
• Math 157b, Spring 2019

Other links

• Yau student seminar archive
• My minor thesis, Volumes of arithmetic locally symmetric spaces (pdf)