MathAcrossCampus is a quarterly colloquium series at the University of Washington to showcase applications of mathematics, with a special emphasis on the growing role of discrete methods in math applications. The goal of this seminar is to expose theoreticians to applied work, to create a community of mathematicians and users of mathematics at UW, and to serve as a guide to students and researchers looking for projects and jobs in math-related areas by offering exposure to ongoing math applications in the Seattle area.
How do we fit a three-dimensional world onto a two-dimensional canvas? Answering this question will change the way you look at the world, literally: we'll learn where to stand as we view a painting so it pops off that two-dimensional canvas seemingly out into our three-dimensional space. In this talk, we'll explore the mathematics behind perspective paintings, which starts with simple rules and will lead us into really lovely, really tricky puzzles. One of the surprising results of projective geometry is that it implies that every quadrangle (whether convex or not) is the perspective image of a square. We will describe implications of this result for computer vision, for photogrammetry, for applications of piece-wise planar cones, and of course for perspective art and projective geometry.
Don't you wish to be invisible some time? Science and mathematics may help you on the way. Just a little over a decade ago invisibility became a subject of science. The lecture explains how ideas from geometry and the latest advances in materials science have brought us a step closer to invisibility cloaking, although we are still far away from offering you an invisibility cloak at your nearest store of pure and applied magic.
MathAcrossCampus is also made possible by the efforts of UW Mathematics graduate students Clayton Barnes, Gerandy Brito Montes de Oca, Christopher Fowler, Avi Levy, Siddharth Mathur, Andrew Pryhuber, Harishchandra Ramadas, Jacob Richey, Amy Wiebe, and Yizhe Zhu.
The MathAcrossCampus website was designed and created by Nathaniel Blair-Stahn.
Additional support has been provided by: The NSF VIGRE grant at UW; the departments of Applied Mathematics and Economics; the Milliman Fund; and the NSF Research Training Group in Inverse Problems and PDEs.