I am a math enthusiasta student a researchera product developera public speakeran author

Hello, I’m Aarav Mehta, a 17 year old residing at Mumbai, India, currently studying at Hill Spring International School.
 
From a young age, I found solace and inspiration in the pages of books, which sparked my love for storytelling. At 11 years old, I began crafting my own narratives, culminating in my debut storybook, Stuck in Space. Now at 17, I’m thrilled to share my latest work, Last Light of Valdor, a testament to my journey as an author.
 
Mathematics has always been a cornerstone of my intellectual interest. I revel in the challenge of solving complex problems and have won numerous awards in various math competitions nationally and internationally. To share my passion for mathematics, I curated Math Matters presenting narrative-style articles on intriguing applications of math.  My enthusiasm for numbers and patterns seamlessly transitioned into a broader interest in science. Driven by an unquenchable curiosity, I ventured into research, where I conducted various research under the guidance of my mentors. I worked on projects like the Smart Load Carrier, a QR code-enabled autonomous transport system, and Deftecht, which uses machine learning for fabric defect detection. Research into projectile motion with calculus has provided practical insights into complex physical phenomena.
 
Academically, I have consistently excelled throughout my school years. When I am not immersed in STEM or literary pursuits, you’ll find me actively engaging in chess, practice taekwondo, thrive in speech and drama and enjoy strumming guitar. I also stay active on tracks with athletics and cycling.
 
Thank you for visiting my page and joining me on this journey of exploration and discovery.

Exploring Flat Band Physics in Acoustic Metamaterials

TEAM MEMBER | HOFFMAN LAB
Mentor: Prof. Jennifer Hoffman
CO-AUTHOR

Created a new multi-cavity modelling design on Autodesk Fusion 360 that maximized the quality factor of transmitting sound and implemented it for the modelling of the Kagome-lattice of air cavities

Assisted in refining the extended-Kagome lattice model by analyzing the properties of cavity networks in-depth, addressing sound amplitude discrepancies between transducers, and the discrepancy in the usage of waveguides.

Optimizing the Parameters of Acoustic Metamaterials for Quantum Simulations.

RESEARCH INTERN | HOFFMAN LAB 
Mentor: Prof. Jennifer Hoffman | Harvard University

Simulated the coupling of acoustic waves in air cavities to mimic electron wave hopping through nuclei.

Minimised the FWHM value of the resonance peaks in an acoustic metamaterial by varying air cavity dimensions.

Created a 3D Kagome-lattice model with 198 optimized air cavities and deduced its acoustic band structure.

Employed the COMSOL Multiphysics software to simulate the acoustic band structure for analysing the flat bands and dispersion curves.

Generated accurate flat bands

Testing the Thermoelectric properties for a polyester-carbon fiber composite.

RESEARCH FELLOW | PHYSICS AND SURFACE ENGINEERING LAB
Mentor: Dr. Vaishali Bambole | Head of Department of Physics, Mumbai University.

Spearheaded the fabrication of a thermoelectric composite by extruding carbon fiber sheets layered with polypropylene using hot and cold presses.

Revolutionized thermoelectric efficiency by achieving high electrical conductivity with low thermal conductivity.

Orchestrated the performance testing by measuring the figure of merit (ZT), power factor (PF), and Seebeck coefficient, benchmarking results against standard materials.

An Analysis of Fabric Defect Detection techniques for Textile Industry Quality Control

Peer-reviewed and published in Institute of Electrical and Electronics Engineers (IEEE) Journal

Presented the paper in World Conference Communication and Computing (WCOF) 2023.

The paper identifies and categorizes fabric defects using machine-learning by using image processing and pixel segmentation mask for enhancing quality control efficiency and reducing waste in the textile industry.

Analytical solution on projectile motion in mid-air with quadratic resistance law using Taylor series method” published in IOSR Journal of Applied Physics.

D.Y.Patil International School
RESEARCH FELLOW | PHYSICS LAB
Mentor: Professor. Ashish John | Physics Faculty

Employed the Taylor series approximation to solve projectile motion equations with quadratic air resistance, providing a computationally efficient approach.

Analyzed projection angles and determined 45° as optimal for maximum range under air resistance.

Derived kinematic equations and utilized power series expansions to model projectile motion accurately.

Developed an efficient alternative to numerical integration for solving motion equations.

Generated trajectory plots to visually demonstrate accuracy across different projection angles.

Smart Load Carriers through IoT Integration: Revolutionizing Aid for the Downtrodden

Peer-reviewed in Springer Journal

Presenting the paper in 4th International Symposium on Electrical, Electronics and Information Engineering, (ISEEIE) 2024 Conference, University of Leicester, UK

Published in Institute of Electrical and Electronics Engineers (IEEE) Journal

This paper presents a solution for autonomous load handling by designing a QR code-driven carrier system utilizing image processing and machine learning for efficient navigation.

Last Light of Valdor

Author

Embark on an epic journey with Last Light of Valdor! Follow Oliver’s quest to reunite with his family amidst a ravaged land. With his father lost to the war and a brother’s enigmatic promise, Oliver and his friend Shawn face harsh realities and a perilous competition that propels them into the heart of conflict. As secrets unravel and the true cost of peace emerges, Oliver must navigate a world where victory is fraught with danger. Ready for a thrilling adventure? Dive into the world of Valdor and discover the story

Available At :

Stuck In Space

Author

Blast off on an interstellar adventure with Stuck in Space! Join Jake as he lands on the Moon, only to find himself thrust into an extraordinary journey filled with strange occurrences and enigmatic creatures. What begins as a triumphant arrival quickly turns into a quest for survival and discovery, pushing Jake to his limits. Uncover the secrets of space and experience the thrill of an adventure where every moment is a battle between wonder and peril. Ready for a cosmic adventure? Explore Jake’s Moon mission and dive into the excitement!

Available At :

Math Matters

Author and Founder

Authored magazine discussing narrative-style math articles and applications of math.

Also featuring biographies, puzzles, math activities, problem sets with detailed solutions.

Aim to simplify complex math concepts, especially for those who find the subject challenging.

Distributing to 18 NGOs, positively impacted over 900+ underprivilege students.