Plenary Speakers

Xiaodong Yan

Biography: Xiaodong Yan is a professor at the University of Connecticut. Her research is nonlinear partial differential equations with a focus on regularity issues in elliptic/parabolic systems and pattern formations. Her recent research focuses on nonlinear PDEs from materials science

Title: PDEs from materials science

Abstract: Materials science has been a rich source for PDE models. Many questions from solid-solid phase transitions in nonlinear elasticity, thin films and crystals can be formulated as a variational problem involving non-convex integrals and small parameters coming from approximation process or discretization arguments. The minimizers or stationary points of which correspond to the experimentally observed materials structure. In this talk, I will introduce some PDE problems originated from thin films and smectic liquid crystals and briefly explain recent progress on the analysis of those problems.

Lisa Naples

Biography: Lisa Naples is an Assistant Professor at Fairfield University. Her research interests lie in geometry of measures and metric analysis.  She earned her Ph.D. at the University of Connecticut before spending time as a visiting faculty member at Macalester College.

Title: Size and Structure

Abstract: Given a set, a basic question that one may ask is: “What is the size of the set?”  The way that we answer this question may be dependent on the structure of the set.  For example, if the set is a line or curve segment, we will likely calculate the length.  On the other hand, if the set is a polygonal region, we will calculate the area.  Of course, the structure of sets that we encounter in Euclidean space may be much more diverse than curves or polygons.  In this talk we will follow a line of questioning to build up relationships between size and structure that persist even when the sets are of less familiar shape.  Along the way, we will highlight some important concepts from calculus and real analysis that help us to answer our existing questions as well as develop new ones.

Schedule

Saturday, March 2nd, 2024
University of Connecticut, Storrs, CT

For the details please go to Abstracts. All times are in Eastern Time.

8:45-9:00 am	Check-in and opening remarks
9:00-10:00 am	Plenary Talk I (Monteith 104)	PDEs from materials science	Xiaodong Yan Moderator: Rachel Bailey
10:00-10:15 am	Coffee Break	Monteith 301
10:20-11:30 am	Parallel Talks I	Pure Math I: Algebra Ryan Schroeder in Monteith 313 10:20-10:50 am Pure Math II: Number Theory Dylan Costa in Monteith 313 11:00-11:30 am Moderator: Caylee Spivey	Applied Math I: Mathematical Modeling/Numerical Analysis Kim Savinon in Monteith 214 10:20-10:50 am Applied Math II: Calculus of Variations Alec Wendland in Monteith 214 11:00-11:30 am Moderator: Michael Gaiewski
11:30 am-12:00 pm	Lunch Break	Monteith 301
12:10-1:00 pm	Graduate School Panel	Monteith 104	Alex Furey, Yi Wu, Yeorgia Kafkoulis, Heidi Benham, Caylee Spivey Moderator: Corrie Ingall
1:05-2:15 pm	Parallel Talks II	Pure Math III: Graph Theory Swati Gaba in Monteith 313 1:05-1:35 pm Pure Math IV: Logic Andrew DeLapo in Monteith 313 1:45-2:15pm Moderator: Ben Oltsik	Applied Math III: Actuarial Science Yi Wu in Monteith 214 1:05-1:35 pm Applied Math IV: Analysis Surath Fernando in Monteith 214 1:45-2:15pm Moderator: Jake Brown
2:20-3:20 pm	Poster Session	Monteith 201
3:20-3:30 pm	Poster Session Award Presentation	Monteith 104
3:30-4:30 pm	Plenary Talk II (Monteith 104)	Size and Structure	Lisa Naples Moderator: Kim Savinon

Organizers: Corrie Ingall, Rachel Bailey, Kim Savinon, Swati Gaba.