Introduction
Welcome to an overview of my academic trajectory. My educational foundation is built on a BSc in Mechanical Engineering with a focus on Solid Mechanics, a BSc in Mathematics with a major in Pure Mathematics, and an MSc in Mathematics with a major in Fluid Mechanics. Additionally, I pursued PhD studies in Computational Fluid Dynamics. In this section, I’ve chosen to distill my diverse educational experiences into four core backgrounds: Engineering, Mathematics, Mathematical Modelling, and Programming & Computational Techniques. Each segment reflects not just my academic qualifications but also integral facets of my professional DNA. Let’s explore.
Engineering
Selected Courseworks Taken: Dynamics and Control Systems, Mechanical Vibrations, Fluid Mechanics, Computational Fluid Dynamics (CFD), Thermodynamics and Heat Transfer, Numerical Methods in Engineering.
Bachelor Thesis in Mechanical Engineering: My work revolved around the “Vibration Analysis of Functionally Graded Material (FGM) Beams Using The Third Order Shear Deformation Theory”, a deep dive into Elasticity and Shear Deformation Theory. A detailed summary is available here.
Mathematics
Honours: Silver Medalist, Mathematical Olympiad
Selected Courseworks Taken: Real Analysis, Measure Theory and integration, Complex Analysis, Functional Analysis, Operation Theory, Complex Fluids.
Mathematics Bachelor’s Thesis: My research focused on “Infinite Dimensional Banach Spaces” a subset of Functional Analysis within Banach Spaces.
UBC Harmonic Analysis Group Membership: I began my graduate studies within UBC’s Mathematics Department’s Harmonic Analysis Group, advancing my research in Banach Space Theory over a duration of nine months.
Mathematical Modelling
Mathematical Modelling Knowledge: I possess foundational knowledge in both solid and fluid mechanics.
Relevant Course: “Scientific Computing for Physicists” at the University of Toronto covered topics such as C++, modular programming, building tools, debugging, version control, I/O, random numbers, Monte Carlo methods, supercomputing, parallel programming, and GPU computing.
Mathematics Master’s Thesis at UBC: I focused on Fluid Dynamics and Chaotic Advection for my thesis, titled “Effect of Geometry on the Behavior of Steady Newtonian Fluid in a Multiply Connected Domain”. In my research, I utilized numerical techniques like Spectral Methods and Compact Finite Differences, and incorporated fluid dynamics concepts such as the Convection-Diffusion equation, Navier-Stokes equation, Biharmonic equation, and Vorticity equation. The official version of my thesis is available here, and the updated version can be accessed here.
PhD Program in CFD at the University of Toronto: My doctoral research focused on computational fluid dynamics. I leveraged C++ programming on high-performance computers to solve the Navier-Stokes PDEs. Additionally, my work involved research into extending the Volume of Fluid (VOF) method from 2D to 3D for the discretization of Navier-Stokes PDEs.
Programming and computational techniques
Language Proficiencies: Python, C++, Java, Matlab, Mathematica.
Proficient in Comprehensive Data Structures and Algorithmic Analysis: I have extensive expertise in data structures and algorithms, spanning from basic to advanced concepts. My understanding encompasses foundational topics like arrays, linked lists, stacks, queues, trees, and graphs, sorting, and searching. Additionally, I’m well-versed in advanced areas including hash tables, tries, heaps, dynamic programming, and advanced graph algorithms. I also excel in analyzing the time and space complexity of problems, ensuring solutions are efficient and effective.
Machine Learning Knowledge: Solid understanding of machine learning principles and techniques, including popular algorithms and methods such as supervised and unsupervised learning, regression, classification, clustering.
Concluding Remarks
As you’ve navigated through the details of my academic and professional background, it’s evident that my commitment to the intricate interplay of engineering, mathematics, and computational sciences goes beyond just formal education. It’s a true passion, honed over years of rigorous study and practical experience. Whether you’re thinking of using my services or considering a professional collaboration, rest assured that you’re engaging with someone deeply dedicated to excellence, innovation, and tangible outcomes. Thank you for exploring my credentials. I eagerly await the potential opportunity to collaborate.