My core research area is Signal Processing and Pattern Recognition. Specially I am interested in
- Signal Processing, image and video processing, pattern recognition.
- Random matrices in Wireless communication, MIMO technology, channel capacity, .
- Mathematics of electrical engineering, Algebraic signal processing.
- Cryptography, Optimization.
- Partial differential equations, Hilber space of signals
- Machine learning, computer programming methods in electrical engineering.
- Hopf algebras, Weak Hopf algebras, Hopf algebroids.
- Homological algebra, Cyclic homology.
- Category theory, Monoidal categories.
- Representation theory
- Non-associative algebras, Hom-associative algebras, Alternative algebras.
- Lie algebras, Universal enveloping algebras, Lie algebra homology.
- Noncommutative geometry.
- Some of my articles in the arxiv.
- The Reviews that I wrote for AMS/MathReview MathSciNet.