Ahmet Kaan Aydin

I am a Ph.D. Candidate in Applied Mathematics at the University of Maryland, Baltimore County (UMBC). My current research interests include numerical analysis, scientific computing, uncertainty quantification, low-rank methods based on tensor decomposition, and the observer/controller design for partial differential equations.

You can explore my research, publications, and teaching on this website.

Research highlights

Animation of flow streamlines and pressure through a constricted channel

Low-Rank Stochastic Navier–Stokes Solvers

Unfiltered and ORFD beam animations with energy, sensor, and actuator gauges

Observability-Preserving Discretizations

Piezoelectric Beam Stabilization

Cropped three-dimensional border-cell cluster animation without the time label

Border Cell Migration in the Drosophila Egg Chamber

news

Sep 18, 2026	I delivered remarks as President of the UMBC Graduate Student Association at the 2026 Doctoral Candidacy Ceremony. Watch my remarks.
Aug 11, 2026	Our preprint, A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier–Stokes Equations, with Bedřich Sousedík is available on arXiv. It develops a low-rank solver for unsteady flow with uncertain viscosity. Learn more about the research.
Jul 01, 2026	I began serving as President of the UMBC Graduate Student Association on July 1, 2026.
May 08, 2026	I received UMBC’s Outstanding Graduate Teaching Assistant in the Field of Mathematics recognition.
Mar 25, 2026	I presented at the SIAM Conference on Uncertainty Quantification (UQ26) in Minneapolis, Minnesota.

selected publications

EECT

Robust Model Reductions for the Boundary Feedback Stabilization of Magnetizable Piezoelectric Beams

Ahmet Kaan Aydin, Ahmet Özkan Özer, and Jacob Walterman

Evolution Equations and Control Theory, 2026

DOI Bib

@article{aydin2026robust,
  title = {Robust Model Reductions for the Boundary Feedback Stabilization of Magnetizable Piezoelectric Beams},
  author = {Aydin, Ahmet Kaan and {\"O}zer, Ahmet {\"O}zkan and Walterman, Jacob},
  journal = {Evolution Equations and Control Theory},
  volume = {21},
  pages = {244--276},
  year = {2026},
  doi = {10.3934/eect.2026041},
}

IEEE TAC

Exponential Stability and Design of Sensor Feedback Amplifiers for Fast Stabilization of Magnetizable Piezoelectric Beam Equations

Ahmet Özkan Özer, Ahmet Kaan Aydin, and Rafi Emran

IEEE Transactions on Automatic Control, 2025

DOI Bib

@article{ozer2024exponential,
  title = {Exponential Stability and Design of Sensor Feedback Amplifiers for Fast Stabilization of Magnetizable Piezoelectric Beam Equations},
  author = {{\"O}zer, Ahmet {\"O}zkan and Aydin, Ahmet Kaan and Emran, Rafi},
  journal = {IEEE Transactions on Automatic Control},
  volume = {70},
  number = {2},
  pages = {1374--1379},
  year = {2025},
  publisher = {IEEE},
  doi = {10.1109/TAC.2024.3462917},
}

IEEE L-CSS

A Novel Finite Difference-Based Model Reduction and a Sensor Design for a Multilayer Smart Beam with Arbitrary Number of Layers

Ahmet Kaan Aydin, Ahmet Özkan Özer, and Jacob Walterman

IEEE Control Systems Letters, 2023

DOI Bib

@article{aydin2023novel,
  title = {A Novel Finite Difference-Based Model Reduction and a Sensor Design for a Multilayer Smart Beam with Arbitrary Number of Layers},
  author = {Aydin, Ahmet Kaan and {\"O}zer, Ahmet {\"O}zkan and Walterman, Jacob},
  journal = {IEEE Control Systems Letters},
  volume = {7},
  pages = {1548--1553},
  year = {2023},
  publisher = {IEEE},
  doi = {10.1109/LCSYS.2023.3274698},
}

arXiv

A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier–Stokes Equations

Ahmet Kaan Aydin and Bedřich Sousedík

2026

arXiv Bib HTML

@misc{aydin2026meaninformed,
  title = {A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier--Stokes Equations},
  author = {Aydin, Ahmet Kaan and Soused{\'i}k, Bed{\v r}ich},
  year = {2026},
}