I am Ilia Kuk, an Applied Mathematics PhD Candidate and graduate researcher at The University of Arizona. My work focuses on nonlinear wave systems, inverse scattering, optical communications, and quantum-inspired acoustic computing.
I am currently affiliated with the New Frontiers of Sound Science and Technology Center (NewFoS), where I study topological acoustic platforms for phase-bit logic and analogs of quantum computation. In parallel, I work on inverse scattering methods for nonlinear optical communication systems, including affine-map formulations of the inverse scattering transform and low-rank operator approximations.
Research interests
- Nonlinear waves, integrable systems, and inverse scattering
- High-speed optical communications and signal recovery
- Quantum-inspired acoustic computing and phase-bit logic
- Data-driven and operator-learning methods for physical systems
Background
Before joining the University of Arizona, I was in the PhD program in Physics at Skoltech. I received an M.S. in Applied Mathematics from The University of Arizona and a Specialist Diploma in Infocommunication Technologies and Special Communication Systems from Ufa State Aviation Technical University.
I have also worked on Biosphere 2 modeling and AI-driven climate control, orbital angular momentum communication systems, and patented electrical engineering devices.
Teaching and outreach
I have served as a teaching assistant and recitation coordinator in mathematics at The University of Arizona, mentored student modeling projects at Biosphere 2, and participated in outreach activities including the Community College STEM Workshop Series and USA(J)MO host-site support.
Contact
- Email: ilyakuk@arizona.edu
- Google Scholar: profile
- ORCID: 0009-0006-7242-7291