Advisor:  Dr. Chris Peterson Co-Advisor:Dr. Clayton ShonkwilerCommittee:  Dr. Renzo Cavalieri, Dr. Michael Kirby, Dr Louis-Noel PouchetTitle: Visualising geodesics along a GrassmannianAbstract: A Grassman is a set of points where each point represents avector space of the same dimension within a larger space. For instance,within the set of real vector spaces, Gr(2,4) is the set of2-dimensional […]

Title: Nanoscale Pattern Formation Produced by Ion Bombardment of Solid Surfaces Abstract: Bombarding a solid surface with a broad ion beam can produce a remarkable variety of nanoscale patterns.  Oblique-incidence bombardment, for example, can lead to the formation of surface ripples with wavelengths as short as 10 nanometers. The anisotropic Kuramoto-Sivashinsky (AKS) equation has traditionally been used […]

Take a break from Finals studying by playing some lawn games (Kubb, Spikeball, etc.) and petting friendly doggos! spring23awmposter

Speaker: Jeremy Booher, University of FloridaTitle: Towers of Curves, Motivic Class Groups, and EquicharacteristicL-FunctionsAbstract:  For a prime p, let K_n form a Z_p-tower of function fieldscorresponding to smooth projective curves C_n over a perfect field ofcharacteristic p. The genus is a well-understood invariant ofalgebraic curves, and the genus of C_n depends on n in a […]

Advisor:  Dr. Michael Kirby Co-Advisor:Dr. Margaret Cheney Committee:  Dr. Chris Peterson, Dr Nathaniel Blanchard Title: The Geometry and Topology of Learning Abstract: The /manifold hypothesis/ refers to the conjecture that high-dimensional data have low intrinsic dimension, meaning they can be expressed (without loss of information) with fewer parameters than the number of basis vectors that […]

Celebrating math major graduates