Florida Institute of Technology
Department of Mathematical Sciences
Research Experience for Undergraduates

In the summer of 2016, an excellent group of students completed research under Dr. Abdulla's REU program. The group was divided among three research topics: Inverse Stefan Problems (ISP), Nonlinear Partial Differential Equations (NPDE), and Dynamical Systems and Chaos Theory (DSCT). Each group learned a lot of necessary background, developed intuitional and rigorous proof skills, and made advances at the frontiers in their respective research topics.
Research Group Participants
NPDE ISP DSCT
Topic: Analysis of Free Boundaries for the Nonlinear Double-Degenerate Reaction-Diffusion Equations
  • Montie Avery
    (University of New Mexico, New Mexico)
  • Naba Mukhtar
    (Bucknell University, Pennsylvania)
Topic: Evolution of Free Boundaries for the Nonlinear Fokker-Planck Equation with Reaction
  • Robert Balkin
    (Colorado School of Mines, Colorado)
  • Elizabeth Schloss
    (University of Auburn, Alabama)
Topic: Frechet Differentiability in Optimal Control of the Stefan Problem
  • Rajendra Beekie
    (University of Minnesota, Minnesota)
  • Nadab Wubshet
    (Augustana University, North Dakota)
Topic: Numerical Analysis of the Inverse Free Boundary Problems for Parabolic PDEs via Gradient Type Methods in Besov-Sobolev Spaces
  • Carlos Seda
    (University of Puerto Rico, Puerto Rico)
  • Taylor Spino
    (North Central College, Illinois)
Topic: Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos
  • Muhammad Abdulla
    (Florida Institute of Technology)
  • Rashad Abdulla
    (University of Pennsylvania, Pennsylvania)
  • Emily Ribando-Gros
    (Louisiana State University, Louisiana)
Mentors:
  • Dr. Ugur Abdulla
  • Dr. Jian Du
Grad. Student Asst:
  • Adam Prinkey
  • Lamees Alzaki
Mentors:
  • Dr. Ugur Abdulla
  • Dr. Jim Jones
  • Dr. Vlad Bukshtynov
Grad. Student Asst:
  • Evans Cosgrove
  • Saleheh Seif
Mentors:
  • Dr. Ugur Abdulla
Grad. Student Asst:
  • Naveed Iqbal

The summative presentations completed as part of the REU program were delivered as an open symposium on Wednesday, July 26, 2016; see the program at this link.

As well as forthcoming published work, the REU students have presented (or will present) at the following: