Scientific Scope — ICAOTA'2026

Overview

Uniting modern mathematics across disciplines

The International Conference on Advances in Operator Theory and Applications (ICAOTA'2026) seeks to unite researchers across diverse areas of modern mathematics, including operator theory, partial differential equations, numerical analysis, and dynamical systems, with a particular focus on their applications to real-world problems.

A central theme of the conference will be exploring the connections between classical mathematical approaches and emerging interdisciplinary fields such as artificial intelligence and fractional modeling, fostering collaboration that bridges theoretical innovation with practical solutions.

By bringing together experts from both pure and applied mathematics, the event aims to highlight how advanced mathematical frameworks can address complex challenges in science, engineering, and technology.

Focus Areas

Classical Foundations

Spectral theory, C*-algebras, bounded and unbounded operators, fixed-point theory, and functional analytic frameworks with deep impacts on evolution equations.

Differential Equations

Classical and fractional PDEs, dynamical systems, and numerical analysis — shaping modern physics, biology, and engineering challenges.

AI & Emerging Methods

Machine learning foundations, neural network optimization, operator-theoretic perspectives applied to data science, physics-informed neural networks, and fractional modeling.

Fluid Dynamics

Mathematical treatment of turbulent flows, stability analysis, Navier–Stokes equations, and multiscale phenomena through rigorous mathematical investigation.

Computational Methods

Robust numerical methods, precision approximation theories, and scalable algorithms driving continuous and discrete system simulations.

Interdisciplinary Impact

Bridging theoretical mathematics with engineering, physics, biology, and computer science — demonstrating the transformative power of operator theory.