Muhammad: East Orange tutor

Certified Tutor

Personal Statement
I am writing this personal letter to elaborate my qualifications and professional skills. I got master degree in applied mathematics from the department of mathematics at the Quaid-E-Azam University Islamabad, Pakistan. After completing master degree, I obtained two years pre-PhD (M. Phil) degree in which I completed one-year advance course work and one-year professional skill for research and professional writing skills. I wrote two research articles on pulsating stars using Gold model.
Before I started my PhD studies, I have been involved in research activities and obtained professional skills through my M. Phil and studied advance level courses of applied mathematics and physics which made me professionally skilled person in the field of theoretical physics and gravitation. It is an extra two-year advance qualification which gives me special advances among others.
Essentially, the courses of general relativity and cosmology and spinor formulation in relativity constituted the physical study of the entire universe, cosmology, application of spinors, structure of stars, physics of black holes' formation. Key topics include electricity and magnetism, space and time, thermodynamics, quantum physics, relativity, astronomy and geology, to name but a few. The First semester studies focused on the fundamentals of classical and modern physics, plus a whole lot of mathematic formulae. As I progressed through M. Phil degree, I was moved on to more complex mathematics, as well as more complex modern theorems such as quantum and general relativity.
These courses played a major role in identifying the natural laws and theories that inspire modern scientific understandings of the world.
Alongside my practical work and experimentation, my study also includes lots of theoretical learning and complex mathematics. Meanwhile I learn about the history of the profession and the physicists who paved the way for our modern understanding of the world.
My PhD studies consist of two folds. a) course work and b) research work.
The institute of theoretical physics has provided me with a broad training in astronomy and gravitation via advance level courses which enabling me to get started quickly with graduate research. The PhD study is a flexible program at the institute that allows me to complement their astronomy training with a selection of physics courses from other quantitative disciplines such as applied mathematics, statistics, computer science or engineering relevant to my research.
In my PhD study, my main focus area was the black hole thermodynamics and its microscopic origin, black hole entropy and thermodynamics properties of the Einstein field equations at horizons of space-time geometries. Black holes are made of spacetime itself and are the simplest, most elegant macroscopic objects in the universe. Not only do they exist in large numbers in the expanding universe, as the ultimate stage of the evolution of massive stars but they have become fundamental objects in theoretical /observational physics and will continue to play a central role in our future understanding of the quantum nature of spacetime. My research work initiated with the theory of classical black hole solutions in General Relativity. It covers the Laws of Black Hole physics which initiate a profound connection between gravity theory and laws of ordinary thermodynamics. This connection is only made firm by the use of semi-classical treatment of quantum field theory in the background of a black hole spacetime. By employing the celebrated result of Hawking that a black hole spontaneously emits particles at a temperature proportional to surface gravity at horizon known as the Hawking temperature and has an entropy proportional to the area of its event horizon, the Einstein equations are written in terms of the ordinary first law of thermodynamics. This development in the theory of quantum gravity will be directed by such queries;
1. What are the microstates that account for the entropy of a black hole?
2. What happens in the ultimate stages of black hole evaporation?