Geometry Archives

The Hidden Geometry That Could Explain the Universe – New

Dr AF Saeed Dr AF Saeed 17th August 2025

How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This puzzle is the focus of recent research by mathematicians Claudia Fevola (Inria Saclay) and Read More

Education, Research & Positions

The shape of the universe revealed through algebraic geometry –

Dr AF Saeed Dr AF Saeed 13th August 2025

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the mathematicians Claudia Fevola Read More

Education, Research & Positions

Using geometry and physics to explain feature learning in deep

Dr AF Saeed Dr AF Saeed 10th August 2025

Deep neural networks (DNNs), the machine learning algorithms underpinning the functioning of large language models (LLMs) and other artificial intelligence (AI) models, learn to make accurate predictions by analyzing large amounts of data. These networks Read More

Education, Research & Positions

Mathematics Uncover Hidden Geometry of Imperfect Crystals – New Study

Dr AF Saeed Dr AF Saeed 18th July 2025

Researchers at the University of Osaka have developed new mathematical models that offer new insights into the behavior of crystal defects. Crystals are widely admired for their striking appearance and symmetry. However, beneath their polished Read More