Lecture Notes & Notes

Course lecture notes, technical notes, and PhD thesis. Most items link to a PDF; the random-matrix and free-probability lecture notes are also on arXiv.

Lecture Notes

• Advanced Probability Theory
  Binghamton, MATH 571, Spring 2026.
• Advanced Linear Algebra
  Binghamton, MATH 404, Spring 2024.
• Linear Algebra for Statisticians
  Binghamton, MATH 530, Fall 2022.
• Life Contingency Models I
  Binghamton, Fall 2017.
• Life Contingency Models II
  Binghamton, Spring 2017.
• Intro to Probability
  Binghamton, MATH 447, Spring 2022.
• Lecture Notes on Random Matrices
  (joint with E. Yudovina)
  Lecture notes for a U. of Cambridge Part III course, Michaelmas 2011.
  arXiv: 1305.2153
• Lecture Notes on Free Probability
  Lecture notes for a graduate course at Stanford University, Spring 2009.
  arXiv: 1305.2611

Technical notes

• Quaternion Orthogonal Polynomials
  February 2018.
  A brief summary of properties of quaternion orthogonal polynomials.

PhD thesis

• Thesis (2008)
  PhD thesis in mathematics.
  Technically speaking, it is published by ProQuest Dissertation Publishing.