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

In the summer of 2015, 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: Evolution of Free Boundaries for the Nonlinear Fokker-Planck Equation
  • Christie M Campbell
    (Michigan State University, Michigan)
  • Luke T Andrejek
    (Indiana University at Bloomington, Indiana )
Topic: Analysis of Interfaces for the Nonlinear Double-Degenerate Reaction-Diffusion Equations
  • Chloe L Ondracek
    (Minot State University, North Dakota)
  • Suneil Parimoo
    (University of Pennsylvania, Pennsylvania)
Topic: State Constrained Optimal Control of the Stefan Type Free Boundary Problems
  • Curtis Earl
    (Florida Institute of Technology)
  • Chelsey Hoff
    (Florida Atlantic University, Florida)
  • Ryan Stees
    (James Madison University, Virginia)
Topic: Frechet Differentiability in Optimal Control of the Free Boundary Problems for the Second Order Parabolic PDEs
  • Jessica Pillow
    (Rhodes College, Tennessee)
  • Dylanger Pittman
    (Williams College, Massachusetts)
Topic: On the Fine Classification of Periodic Orbits of Continuous Endomorphisms on the Real Line and Universality in Chaos.
  • Muhammad Abdulla
    (Florida Institute of Technology)
  • Rashad Abdulla
    (University of Pennsylvania, Pennsylvania)
  • Alyssa Turnquist
    (Morningside College, Iowa)
Mentors:
  • Dr. Ugur Abdulla
  • Dr. Jian Du
Grad. Student Asst:
  • Adam Prinkey
  • Jonathan Goldfarb
Mentors:
  • Dr. Ugur Abdulla
  • Dr. Jim Jones
Grad. Student Asst:
  • Bruno Poggi
  • Jonathan Goldfarb
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 22, 2015; see the program at this link.

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