A full day program centered around Bob's mathematical career and its influences in geometry.

**Blaine Lawson, Stony Brook**

*Reflections on the early mathematical life of Bob Osserman*

This talk will be a general exposition of some of Bob Osserman's seminal contributions to the theory of minimal surfaces. The presentation will be aimed at a wide mathematical audience, and early parts of the talk should be accessible to non-mathematicians as well.

Presentation notes: lawson.pdf

**Brian White, Stanford**

*Branch points and total curvature*

I will describe Osserman’s work on branch points and on finite total curvature, and some related subsequent developments.

Presentation notes: white.pdf

**Peter Sarnak, Princeton**

*Curvature and its impact on spectral geometry and geodesics after Osserman*

We review some of Bob's papers, insights and more recent developments connected with the topics of the title.

Presentation notes: sarnak.pdf

**Antonio Ros, Granada**

*Remarks on minimal surfaces*

The purpose of this talk is to review some results in classical minimal surface theory and to present a few mathematical problems on soap films, properly embedded minimal surfaces with finite topology and minimizing properties of periodic surfaces. These facts depend on relations between classic surface geometry, riemann surface theory, and geometric analysis.

Presentation notes: ros.pdf

**Persi Diaconis, Stanford**

*Bob Osserman and the volume of tubes*

As part of his work understanding higher curvatures, Bob encountered a little-known paper by the statistician Harold Hotelling on the volume of tubes. He asked me what statistics problems this relates to. His questions have led to an active development of a variety of extensions of weyl’s formulæ.

Presentation notes: diaconis.pdf