Mathematics Education

Ph.D. in Physics from the University of California, Davis
M.S. in Physics from the University of California, San Diego
B.A. in Mathematics from the University of California, Berkeley

UC Davis Courses
Course - Title - Professor - Text:

  • Math 251A - Lie Groups and Their Representations - Monica Vazirani - Representation Theory: A First Course by Fulton and Harris
  • Math 250C - Algebra - Albert Schwarz - Class Notes
  • Math 280 - Modern Mathematical Physics - Albert Schwarz - Class Notes
  • Math 265 - Mathematical Quantum Mechanics - Albert Schwarz - Quantum Mechanics for Mathematicians by Takhtajan
  • Math 266 - Statistical Mechanics and QFT - Andrew Waldron - Class Notes
  • Physics 223B - Group Theory of Elementary Particles - Joe Kiskis - Group Theory in Physics by Tung

UC San Diego Courses
Course - Title - Professor - Text:

  • Math 259A - Geometrical Physics - Mark Gross - Class Notes
  • Physics 201 - Mathematical Physics - Raj Pathria - Mathematical Methods for Physicists by Arfken & Weber
  • Physics 220 - Group Theory - Kenneth Intrilligator - Lie Algebras in Particle Physics by Georgi

UC Berkeley Courses
Course - Title - Professor - Text:

  • Math 53 – Multivariable Calculus – Rob Kirby – Multivariable Calculus by Stewart
  • Math 54 – Linear Algebra – Arthur Ogus – Elementary Linear Algebra by Hill
  • Math 110 – Linear Algebra – James Demmel – Linear Algebra by Friedberg/Insel/Spence
  • Math 113 – Abstract Algebra – Beth Samuels – Algebra by Artin
  • Math 104 – Real Analysis – Alexander Givental – Elementary Analysis: The Theory of Calculus by Ross
  • Math 185 – Complex Analysis – William Kahan – Complex Function Theory by Sarason
  • Math 125A – Mathematical Logic – Theodore Slaman – Class Notes
  • Math 140 – Differential Geometry – Craig Evans – Elements of Differential Geometry by Millman/Parker
  • Math 121A – Mathematical Methods for Physical Scientists – Shamgar Gurevich – Mathematical Methods in the Physical Sciences by Boas

Mathematics Awards and Test Scores:

  • 2007: 780 on GRE Quantitative Section
  • 2004: 5 on AP Calculus BC Exam
  • 2004: 3 on American Invitational Mathematics Examination (AIME)
  • 2003: 5 on AP Calculus AB Exam
  • 2003: 800 on SAT Quantitative Reasoning Section
  • 2003: 800 on SAT II Mathematics Exam
  • 2003: 2nd Place in Los Angeles County Academic Olympiad (Mathematics)
  • 2003: 114 on American Mathematics Competition 10 (AMC-10)