SWiM 2018 Lectures

Colleen Robles

June 20 (Wednesday)

The Gauss-Bonnet Theorem

The Gauss-Bonnet Theorem is the "crown jewel" of surface geometry. I will explain this beautiful result, what makes it so remarkable, and how one can prove/verify it using calculus.

Rick Durrett

June 21 (Thursday)

TBA

To be added

Irina Kogan

June 22 (Friday)

A story of two postulates

“I have traversed this bottomless night, which extinguished all light and joy of my life. I entreat you, leave the science of parallel alone”, wrote a Hungarian mathematician Farkas Bolyai to his son János, horrified at the thought that his son is attracted by the problem of parallels. János was not deterred, however, and discovered, simultaneously with Lobachevski, a consistent geometry in which the Euclidean parallel postulate does not hold. We will zoom through the path of mathematical thought that took over 2000 years, noticing which results from a high school geometry text-book do not rely on the parallel postulate, and which are altered completely in hyperbolic geometry.

Jayce R. Getz

June 25 (Monday)

TBA

To be added

Katie Newhall

June 26 (Tuesday)

TBA

To be added

Alexander Kiselev

June 27 (Wednesday)

TBA

To be added

Tom Witelski

June 28 (Thursday)

TBA

To be added