I began Ph.D.-level mathematics coursework at Kansas State University at 16, while in high school:

• Completed 17 courses in mathematics, physics, computer science, and statistics
• Earned A grades in all 17, including five Ph.D.-level mathematics courses
• Completed all coursework requirements for a B.S. in Mathematics by 18
• 125 credits against the 120 required for the degree
• 86 credits from K-State coursework
• 30 credits from AP exams, the maximum K-State accepts
• 9 credits transferred from other institutions
• Degree not conferred; enrolled at Stanford instead

Courses:

• Mathematics
• MATH 350: Linear Algebra and Differential Equations
• MATH 351: Multivariable Calculus and Differential Forms
• MATH 510: Discrete Mathematics
• MATH 633: Real Analysis
• MATH 715: Numerical Methods
• MATH 716: Functional Analysis
• MATH 723: Complex Analysis
• MATH 730: Groups and Rings
• MATH 731: Modules, Fields, and Galois Theory
• STAT 510: Probability and Statistics
• Physics
• PHYS 522: Lagrangian and Hamiltonian Mechanics
• PHYS 532: Electrostatics and Magnetostatics
• PHYS 662: Quantum Mechanics
• Computer science
• CIS 300: Data Structures
• CIS 301: Logic and Program Verification
• CIS 532: Deep Learning
• CIS 575: Algorithm Analysis

PhD coursework syllabi and exam archive