Research Projects & Creative Pursuits

Computational Modeling of FUS enabled Blood Brain Barrier Opening - UEIL Lab Columbia University

Computational modeling of pulse propagation across the cranium to enable therapeutic delivery via FUS (Focused Ultrasound) mediated blood-brain-barrier opening.

SHARP - PAM - UEIL lab Columbia University

Developed SHARP-PAM, a novel convolutional neural network for acceleration of Passive Acoustic Mapping via super-resolution for significant cost reduction and higher accuracy beamforming feasibility (eg. ERCB).

Quadratic Mesh expansion of Boundary Layer - Musculoskeletal Biomechanics Lab (Columbia University )

Expanding boundary layer functionality in finite element simulation software FEBio to quadratic meshes. Developed a generalizable mathematical approach to extending boundary layer generation to higher order meshes.

Chebyshev's Polynomials & Polar Coordinates

I worked with Prof.Dresden of W&L University on fun math research like this work on Chebyshev's polynomials and another problem on polar coordinates which was published in the Math Horizons magazine (Feb '25) edition.

PAM Refinement - UEIL Columbia

Developed a mathematical refinement algorithm for Passive Acoustic Mapping maps in order to improve physical accuracy of the output.

3D Random Terrain Mapping Generator Using Gaussian curves

In 9th grade, I worked on a project to create random 3D terrains using multivariate Gaussian curves coding in Unity/C#.

Euler's Circle Analytics Combinatorics Talk

I gave a talk on Analytics Combinatorics (Singularity Analytics) to an audience of over 100 students as part of Euler's Circle. The talk was based on an expository paper I had written.

PDE Simulation Project

For a class project in my AT Computer Science class, I decided to code and show PDE simulations of waves, heat and fluids.

"RoboDawg"

As part of the SHAPE program at Columbia University, I designed and built a fun Robotic dog which won the 1st place in a speed contest.

Soccer Shooter Sports

When I was in 7th grade I was obsessed with soccer so much that I self taught C# and Unity game design and created Soccer Shooter Sports - a 3D Multiplayer FPS game where players shoot at the soccer ball to score goals. I published my game in itch.io. I eventually started a game design company Nascent Game Design LLC.