Academic Projects

2D Wave Equation PDE Numerical Simulation and Animation

https://colab.research.google.com/drive/1zndu-ut47tIrc8q2dXaenndj-kVBVqz3

2D Heat Equation PDE Numerical Simulation and Animation

https://colab.research.google.com/drive/1aSe8oFztFpqpAThl31JvYXv0LFZfUnle

2D Cahn-Hilliard Equation Spinodal Decomposition Numerical Simulation and Animation

https://colab.research.google.com/drive/1BcGFLlHbkjFQXT4yfwq_I0il9Cvewrpq 

Video Lecture Series: Spin, Quantum Computing, and MRI

https://www.youtube.com/playlist?list=PLMkq0KtKTg88cPgNr6guj8C8dm78D5-sS 

CS&SS504/STAT504 Final Project: Quantile Regression Theory, Practice, and Simulation

Writeup: https://colab.research.google.com/drive/1VtM5jy4dnTlqCA_iBtKehqv6dQDFxyHC

Video: https://youtu.be/7SgLvihX8Tw

MKTG593 Project: Voting Returns in Smart Contracts: A Game Theoretic Model

https://colab.research.google.com/drive/1EykRLM6dbEWzvkPDdG4KTpLTFrftmyBW

MSE525 Materials Magic: Miraculously Marvelously Magnificent Math Modeling Methods

https://colab.research.google.com/drive/1sK2p2L2eLegynRn5C6zYRGW3L32nIy7e 

CHEM E 556 Interesting Problem: Derive Young-Dupre Equation using Caclulus of Variations

https://docs.google.com/document/d/1_CvwFwhJhUV1FaHiTuG_8-8fiM6OxauFAiF46PxVgwI/ 

CHEM587 Phascinating Physical Chemistry Compilation Particle Photoluminescence Problems and Parables 

https://colab.research.google.com/drive/1e54HPxQa4ixgg2kaxRSpSCJRFQDGRFgz 

EE596/STAT542 Final Project: Ising Model Parameter Estimation: Convolutional Neural Network versus Sufficient Statistics

https://docs.google.com/document/d/1Iblu3_Tpk54uBtOZU_BX22UqjefgoOLRlIxTiPez2nk/

EE546 Final Project: Pursuit Games Dynamical Systems Exploration

Video: https://youtu.be/hlEjR2Ka4Zo

Writeup: https://docs.google.com/document/d/1x_VP5BZEnSdFDJcINS-6X2uvQKdZn_CZynQgBzVkHSc/

STAT517 Final Project: Spatial Statistics in Computational Chemistry:

https://youtu.be/h_Q4XpebGOM

Optical Coherence Tomography: Detailed Physics and Mathematics

https://docs.google.com/document/d/1F7JPv0zkByIXSAPZlpscCIRA-9vSiiiELqmbViMTfYo/

Insight into Wavelets (and Signal Processing)

https://www.youtube.com/watch?v=IFB4nV2GmYA

Unconventional Least Squares Regression for 2-Dimensional Data

https://docs.google.com/document/d/1i8eGn-31szz-BTdOTWk8uSde7RoKFyk_0R2UrmFfhLk/

Electron Paramagnetic Resonance 

https://docs.google.com/document/d/1D_HRfuyH9eFeZeTbyv7D-p_ah2vHkMH2YzS9tCc5h9E/

Johnson Noise and Shot Noise

https://docs.google.com/document/d/1AAMfuh3zAlh_8BqK-Jcvz7Kdi2g2SI1NSwvbqB36iCc/

Thin-Film Quantum Tunneling

https://docs.google.com/document/d/18pycsNFbaQ9fepc8Ctf0RhC4Kd7LAacrxMD6FYynDWk/

Quantum Oscillations

https://docs.google.com/document/d/1G2u5B79ptjSexOlbn1lDYvrBXY19fRy0uLz11bJ4tRU/

Biostatistics Final Project: Statistical Conversion of Bopomofo to Hanyupinyin

Writeup: https://docs.google.com/document/d/1Za6QkVg8gS6nwBgMNF7OuIkLcT-slROrgJNVPu4Dmyk/

Presentation Slides: https://docs.google.com/presentation/d/1aEaSzHeyP71pk-e9jMEqsV6OktV3xIB2K8C9FoSyP4I/

Physics Master's Thesis: The Physics of Josephson Parametric Amplifiers

Writeup: https://docs.google.com/document/d/1XSJQWX1fc-GaMxFWeF0HIvQnon9GSf_paYI5pRwLqlY/

Presentation Slides: https://docs.google.com/presentation/d/12KpIZLNGAFgjJGa5R1NRR-VwMqcQptEtVbEZVYwnpus/

Medical Imaging Final Project: Iso-Surface Meshing  and Template Feature Mapping Techniques

https://docs.google.com/presentation/d/1Le-WPJvdv_VIMsPl4cFO2xI7ZPDH4MQeLAUHZVE746U/

Wavelets Final Project: Hausdorff Measure and Cryptography of Wavelets

Writeup: https://docs.google.com/document/d/1ENvtaCHGymZJH7uZLMdCo6tozbt03kbpP4OW-hESWI0/

Presentation: https://docs.google.com/presentation/d/1MJnxpOeNifNq6EH4mMsi8WbKl4oOm91FId1LBoDnnIA/

Biological Physics Final Project: Brownian Motion and Random Walks

https://docs.google.com/document/d/1-LDFFYIw0ZGmoom7IeJSwP_0MtNekVsaYmpJozsHyMc/

Tricky Limit Representations of the "Nascent" Dirac Delta Function

https://www.youtube.com/watch?v=7XGnOXC2IBk

Interfacial Phenomena Fluid Physics Final Project: Water Droplet Problem: Numerical Optimization Methods

https://www.youtube.com/watch?v=qcqeecLBf9w

Overview of the Surprising Similarities between the French and German Languages, Linguistic Analysis of French and German Grammar

video: https://www.youtube.com/watch?v=H6ChBedReks

slides: https://docs.google.com/presentation/d/1EZco0WpZo2nva_d3eIiivQn0ijBhcm9Xb8edgNc0i1o

ECON518 Final Project Writeup: Information Theory and Information Economics

https://colab.research.google.com/drive/1XlsxIlQI6cvFHqi2KBTJ592tZRn5zfvi

ECON518 Contract Theory Presentations

Presentation 1: https://docs.google.com/presentation/d/1qEH1sl6uqwg-FKkLaV9Ux_zRdeMDd14uJC0FhZLEdLI 

Presentation 2: https://docs.google.com/presentation/d/1tggmyXvmauuZN2NBq3p0INrwphAY7ltWN49VkIe_BhE 

ECON593 Presentation: Mobile Money and Risk Sharing

https://docs.google.com/presentation/d/1eZsvInZEFIr4lF9BNEawy3J4cfrIuK7gLHlhaQadnOA/

BIOST579 Data Analysis Project: Mathematical-Methods-Markov-Martingale-Matrix-Stochastic-Modeling-Melodic-Music-Machine-Learning

shorturl.at/FVBJY

Time stamp: https://sites.google.com/alumni.brown.edu/markovmusic 

MSE525 Bilayer Diffusion Analytical Solution + Numerical Simulation

https://colab.research.google.com/drive/1gaHJyWoDJQ1TPRP0prC4G8LthtVVKI8m 

The Daily Deeds of Dayton the Data Scientist

https://sites.google.com/alumni.brown.edu/daytonthedatascientist/

Silly Numeric Bunny Animation 

https://colab.research.google.com/drive/14wF15koIXa3Q6152xXKloAgoudsZf4kx 

Elevator Routing Modeling + Optimization

https://arxiv.org/abs/2209.12401