Coursework
Mathematics & Statistics major. January 2028 graduate.
Mathematics
Real Analysis
Abstract Algebra (tentative) Groups, rings, fields.
Ordinary Differential Equations
Linear Algebra with Theory Proof-based: vector spaces, linear maps, eigenvalues.
Introduction to Number Theory Divisibility, primes, congruences, proof.
Discrete Mathematics Logic, proof, induction, counting, probability.
Fourier and Wavelet Analysis with Dynamical Systems Tutorial: Fourier and wavelet analysis; chaos, fractals, dynamical systems.
Stochastic and Deterministic Systems in Biology Tutorial: ODE/dynamical-systems and stochastic models in biology.
Senior Thesis (topic TBD)
Mathematics Seminar (Fractal Geometry, TBD, TBD)
Calculus I-III
Trigonometry
College Algebra & Precalculus
Statistics & Data
Statistical Learning (tutorial, tentative) Machine learning from a statistical perspective: prediction and inference, regularization, and model selection.
Applied Time Series Stationarity, ARIMA, spectral methods, and forecasting.
Linear Models Linear models and their extensions (polynomial regression, interactions) and generalized linear models (logistic, Poisson); theory and practice.
Probability I-II Probability theory: distributions, expectation, limit theorems.
Markov Chains (tutorial, tentative) Tutorial; Markov chains and stochastic processes.
Financial Markets Modeling with ML (tentative) Machine learning applied to financial-market data.
Data Structures (tentative) Core data structures and their algorithms.
Dealing with Data II (Elem. Stat. II equiv.) Regression and ANOVA in R.
Elementary Statistics
Computer Science
Reinforcement Learning Agents, policies, value functions.
Machine Learning Model training and evaluation.
AI: Deep Learning Neural networks and deep model training.
Algorithms Algorithm design and analysis.
Java Programming I Introduction to object-oriented programming.
Programming Concepts Introductory programming in Python.
Computer Information Systems
Natural Sciences
Introductory Chemistry (with lab)
Anatomy & Physiology I (with lab)
Philosophy
Intro to Eastern Philosophy
Intro to Philosophical Reasoning Logic and argumentation.
Intro to Philosophy
Humanities & Social Science
Introduction to Anthropology
Fundamentals of Speech Communication
US History to 1877
Human Development: Life Span
Written Communication I-II
General Psychology
American & Comparative Government
Languages
Elementary Spanish I-II (with labs)
Final essays & projects
Introduction to Anthropology
“From Potatoes to Politics to Lost in Translation”
Sociolinguistics and ethnolinguistics: how language shapes identity, culture, and social and political patterns.
Intro to Eastern Philosophy
“Limited Terms for Limitless Concepts: Eastern Insight into Duality”
Language divides reality into dualities; balancing control against acceptance, framed through yin and yang.
Fundamentals of Speech Communication
“Holism”
The whole exceeds the sum of its parts; isolating components loses information. Examples: the Rat Park experiment, the paradox of hedonism, cognitive distortions.
Dealing with Data II
“Predictors of happiness (GSS 2024)”
Across ~19 General Social Survey variables, perception-based factors (financial and job satisfaction, health) show the strongest association with happiness; structural factors the weakest.