Mathematics Colloquium Series

Mathematics Department Colloquium Series 

The Mathematics Department established the Mathematics Department Colloquium Series through a Faculty Development Grant in 1999 to provide a place to discuss new research in Mathematics. Speakers for the series come from both inside the UTC Department of Mathematics as well as guest speakers from other institutions. The Colloquium Series meets periodically throughout the year.

Upcoming Colloquium Talks

Mohandas Pillai

  • Date/Time: Fri., Sept. 18 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Near soliton dynamics for the critical, two-equivariant Schrodinger map problem
  • Abstract: I will talk about work in progress with Ioan Bejenaru (UCSD), Daniel Tataru (UC Berkeley) regarding the critical, 2-equivariant Schrödinger map problem into the two-sphere. I will start with a result we proved in 2024, regarding the global existence of topological degree 2 solutions with energy close to that of the ground state solitons, along with a stability result for a more regular set of initial data. This motivates the question of the existence of infinite time relaxation in addition to infinite time singularity forming solutions. I will speak about work in progress regarding those questions.

Brian Choi

  • Date/Time: Fri., Sept. 25 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Long-time continuum limits for twisted Schrodinger lattices
  • Abstract: This talk explores the long-time justification of Hamiltonian PDEs from a numerical analysis perspective, guided by complete integrability. Focusing on the discrete nonlinear Schrödinger equation with a phase twist, we synthesize Birkhoff coordinates and modified energies to establish polynomial-in-time bounds for the nonlinear approximation error, effectively bypassing the limitations of the Grönwall inequality.

Thien Le

  • Date/Time: Fri., Oct. 2 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Coming Soon
  • Abstract: High-resolution temporal network data provide an increasingly detailed picture of how interactions change over time. Yet translating this wealth of information into reliable models of spreading processes remains challenging. We investigate this challenge using empirical contact networks from diverse real-world settings and compare spreading processes across different temporal resolutions. Our results show that hourly resolution often produces dynamics comparable to finer-resolution data, while daily observations can substantially distort spreading behavior. These findings provide practical guidance on collecting dynamic network data to study spreading processes.

Ayca Cetinkaya

  • Date/Time: Fri., Oct. 23 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Coming Soon
  • Abstract: Coming Soon

TBD

  • Date/Time: Fri., Oct. 30 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Coming Soon
  • Abstract: Coming Soon

TBD

  • Date/Time: Fri., Nov. 6 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Coming Soon
  • Abstract: Coming Soon

Will Erickson

  • Date/Time: Fri., Nov. 13 at 3:30 p.m.
  • Location: Lupton 393
  • Title: Coming Soon
  • Abstract: Coming Soon

Mathematics

Mathematics