Prof. Mathukumalli Vidyasagar FRS, SERB National Science Chair and Distinguished Professor of the Indian Institute of Technology Hyderabad gave a talk on 20th March, 2021 on “Ramanujan Graphs and the Matrix Completion Problem.” The slides of the talk can be found here. The full video of the talk is available
In this article we shall show that the characteristic polynomial of both and are the same, where and are matrices over , a ring with unity. Let denote the characteristic polynomial of . Thus, we intend to show, . We first take and specialize in this ring. By multiplicity of the determinant function,
Po-Shen Loh is an associate professor of mathematics at the Carnegie Mellon University. He specializes in probabilistic and extremal combinatorics. He is the founder of Expii which “is a free interactive website, focused on math and science, where students, teachers, tutors, and enthusiasts are encouraged to add their voices and
In this article we see that the automorphism group of biholomorphic functions of the upper half plane and the open unit ball in the complex plane is isomorphic to the second projective special linear group over the field of real numbers. [pdf-embedder url=”/content/images/wordpress/2016/05/automorphisms-upper-half.pdf”
The movie The Imitation Game ends with the quote : “His machine was never perfected, though it generated a whole field of research into what became known as ‘Turing Machines‘. Today we call them ‘computers.’ ” The his here refers to the protagonist of the movie. Benedict Cumberbatch, who is the main
Sir Michael Victor Berry is a professor of physics at the University of Bristol. He specializes in semi-classical optics (asymptotic physics and quantum chaos) applied to wave phenomena in quantum mechanics, and other areas such as optics. He is famous for the Berry phase, which is a geometric phase observed
Clock Problems are often seen in several aptitude test papers. The underlying principles are basic modular arithmetic although the questions may seem to be confusing at times. Some of the questions below keep coming in many different exams. We provide a list of basic facts needed to solve clock problems.
The ICTP Ramanujan Prize has been awarded since 2005 to mathematicians below the age of 45 from developing countries who have made a fundamental contribution to mathematics at an early age. It was originally instituted by ICTP, the Niels Henrik Abel Memorial Fund, and the International Mathematical Union (IMU). The