Faculty Area: Mathematics and Physical Sciences

Quantum materials under high pressure

This project aims to strengthen and consolidate quantum materials research in Qatar through a focused program on high-pressure studies. High pressure is a powerful tuning parameter that enables controlled modification…

Vector-valued free boundary problems

Free boundary problems (FBP) lie at the heart of mathematical models describing phase transitions, moving interfaces, and competitive dynamics in physics, biology, and economics. They typically involve phase transitions (such…

Qatar quantum materials

The research we perform is at the frontiers of science, in discovering, testing, and characterizing materials with novel quantum properties using the most powerful techniques available. Our long-term vision, based…

Enhancing the power of two-point boundary value problem solutions through hybrid machine learning and failure-aware numerical methods

Two-point boundary value problems (BVPs) are foundational to numerous applications in science and engineering. However, as systems become nonlinear, chaotic, or stochastic, traditional solvers face instability due to their sensitivity…

Geometric and qualitative analysis in free boundary problems

Several real-world problems across physics, industry, and biology involve partial differential equations that incorporate a priori unknown sets, termed ”free boundaries.” Such kind of problems (Free boundary problem ”FBP”) plays…

Structural and electronic properties of quantum magnets

Materials with correlated electronic properties may lead to completely novel technologies. As the 20th century computer technology was based on semiconductors that can be tuned between an insulating and a…

Multi-preference parking-functions, combinatorial statistics and their applications

One of the aims of the project is to extend results on matching statistics on partitions to more involved combinatorial structures such as labeled trees, parking functions and labeled graphs.…

Centrality measures on graphs

In studying networks (be they social networks, road networks, communication networks, etc.) one is often interested in measuring the relative importance of various nodes and arcs and identifying the most…

Mathematical modeling of hyperelastic materials undergoing swelling

(1) Boundary Value Problems in Non Linear Elasticity WHEN Solid Mechanics is Coupled with other effects; (2) Mathematical Modeling of Hyperelastic Materials Undergoing Swelling In standard nonlinear continuum mechanics it…

New mathematical models for the large strain swelling response of biological tissues: Applications to edema, inflammation, and pregnancy

Mathematical models that describe how soft biological tissue responds to mechanical stress are an essential part of basic biomechanics. There are many useful models that have been reasonably validated by…