Current research and learning
I'm working with a group on an REU supervised by Professor Thomas Sinclair titled "Notions of Positivity and Complexity in Quantum Information Theory". It's a mix of understanding Convex Euclidean Geometry and an application of the theory into code. I created a GitHub and detailed Guide for the project which are usually updated weekly. Together, we're developing an intricate algorithm to analyze positive linear mappings, determine patterns of extendable mappings, and plot their cones. This algorithm involves a blend of linear algebra, convex optimization, linear programming, and machine learning techniques, particularly Support Vector Machines (SVM). Everything is detailed in the guide if you're interested in learning more. Throughout this project, I've significantly enhanced my understanding of Linear Algebra and Python, leveraging libraries like NumPy, Matplotlib, and Scikit-learn. Additionally, I've gained proficiency in Git for version control. I gave a presentation on my research along with my group (presentation).
My learning is currently involving applied linear algebra, with some machine learning and data science techniques via programs and personal projects. I'm reading Introduction to Applied Linear Algebra by Stephen Boyd and Lieven Vandenberghe. Although I've been in theoretical math for most of my college career, I'm looking more into applied mathematics, especially in terms of research. My personal projects include a mix of probability theory, statistical analysis, and environmental & Atmospheric data analysis.
My learning is currently involving applied linear algebra, with some machine learning and data science techniques via programs and personal projects. I'm reading Introduction to Applied Linear Algebra by Stephen Boyd and Lieven Vandenberghe. Although I've been in theoretical math for most of my college career, I'm looking more into applied mathematics, especially in terms of research. My personal projects include a mix of probability theory, statistical analysis, and environmental & Atmospheric data analysis.
Personal Projects Showcase
Convex Optimization & Linear Algebra
In my current research position, I'm utilizing convex optimization and honing my linear algebra skills...
Relation to environmental projects
I'm working on environmental data science project to better my DS skills and get into the EDS field. I am developing mathematical models to simulate environmental processes such as carbon cycling, hydrological systems, atmospheric dynamics, etc.
This would also incorporate probability modeling and statistical analysis. I'm applying probability distributions to model environmental variables such as temperature and hypothesis testing and regression analysis to understand the significance of relationships between environmental variables.
This would also incorporate probability modeling and statistical analysis. I'm applying probability distributions to model environmental variables such as temperature and hypothesis testing and regression analysis to understand the significance of relationships between environmental variables.
Motivation & Mentors
On top of the Quote from the Prophet Muhammad, peace and blessings of God be upon him, I study math because I want to follow the footsteps of the previous generations of Muslims, who dedicated their time to study God's beautiful gifts, and I believe one of the best gifts is math. Moreover, I enjoy solving problems and the excitement that comes from process of solving. My favorite topic is Linear Algebra.
Among my many role models, Professor Sam Nariman is perhaps the most influential. His mentorship not only reignited my passion for math but also unveiled the beauty of the subject in a profound manner. Through his guidance in his LA II class, I discovered an affinity for linear algebra, a subject I once found daunting. Lubna of Córdoba stands as another significant influence, epitomizing excellence in math and intellectual leadership as a renowned mathematician of Andalusia and custodian of numerous libraries. Additionally, I draw inspiration from László Lempert, Roger Heath-Brown, and the legendary Maryam Mirzakhani, each enriching my journey with their remarkable achievements and unwavering dedication.
Among my many role models, Professor Sam Nariman is perhaps the most influential. His mentorship not only reignited my passion for math but also unveiled the beauty of the subject in a profound manner. Through his guidance in his LA II class, I discovered an affinity for linear algebra, a subject I once found daunting. Lubna of Córdoba stands as another significant influence, epitomizing excellence in math and intellectual leadership as a renowned mathematician of Andalusia and custodian of numerous libraries. Additionally, I draw inspiration from László Lempert, Roger Heath-Brown, and the legendary Maryam Mirzakhani, each enriching my journey with their remarkable achievements and unwavering dedication.