Education
What I’ve Learned
My education has not only provided the foundation for the rest of my experiences, but has also made me a lifelong learner who is eager to gain more skills and knowledge. Take a look at my academics below.
August 2014 - August 2019
Ph.D. in Applied Mathematics, University of Alabama at Birmingham (UAB)
An overview of my research can be described as follows. Many real-life problems can be analyzed quantitatively through a mathematical model, such as a regression model. Usually, a mathematical model would yield perfect (or stable) results when tested in an ideal (or hypothetical) situation, since it is formulated in a theoretical setting. However, when the model is implemented for real-life problems it encounters instabilities arising from the noise present in the real-life data. Such problems are known as ill-posed problems. A typical example for an ill-posed problem is an inverse problem, where for a given output (noisy data) one is interested in estimating the input (the parameters of the model) that might have caused the output. Such problems cannot be directly solved from a computational point of view. One needs to apply the so-called regularization theory to handle the instabilities or ill-posedness of such problems. In my Ph.D. thesis “Inverse Problems, Regularization, and Its Applications", I developed novel methods to handle the instabilities in mathematical models arising from noisy data. This has great applications in machine learning, data analysis, regression models, predictive modeling, etc. Feel free to dive into my research works/projects to get a better understanding of my works.
August 2014 - December 2015
M.S. in Mathematics, University of Alabama at Birmingham (UAB)
In this master's program, I build the background needed to pursue a Ph.D. in Applied Mathematics, particularly in the area of inverse problems, regularization theory and their applications in real-world problems. Some of the crucial courses taken while pursuing the degree are numerical linear algebra (advanced), measure theory, PDE and numerical PDE, stochastic processes, theory of distributions (generalized functions), chaos in differential equations etc.
August 2008 - May 2013
M.Sc. in Mathematical Science, National Institute of Science Education and Research (NISER), India
This was an integrated (B.Sc + M.Sc) master's program, with my major being mathematics and physics as minor. It's an intense and rigorous program where the contents covered, can sometimes be, equivalent to a Ph.D. program. In my master's thesis "A Mathematical Approach to Black-Scholes Formula" I worked in the area of quantitative finance, where I rigorously proved the mathematical derivation of the famous Black-Scholes-Merton formula for asset pricing.
Contact me for more information about my academic skills and experience. My Transcript is attached here.