Hi. I'm John Huerta. I'm studying to be a mathematical physicist in the Department of Mathematics at UC Riverside. My advisor is John Baez. My research concerns the relationship of exceptional mathematics (like exceptional Lie groups and the octonions), to classical super-Yang-Mills theory, superstrings, and supergravity.
I received a bachelor of science with honors (magna cum laude) from Northern Arizona University, where I double majored in mathematics and physics.
On February 22nd, 2010 I gave a talk on addressing on fractals and IFS's in the Dynamical Systems Seminar.
On February 17th, 2010 I gave a talk on Jordan algebras and projective geometry in the mathematics graduate student seminar.
On January 22nd, 2010 I gave a talk titled "A crash course in simplicial methods" in Professor Julie Bergner's Cobordism Seminar. Notes coming soon!
On November 7th, 2009 I gave a short talk titled Division Algebras and Supermembranes at the Western Sectional AMS meeting, right here at UCR.
On October 23rd, 2009 I gave a talk on the interaction of quantum field theory and topology in Professor Julie Bergner's Cobordism Seminar. Notes available here.
On June 22nd, 2009 I gave a short talk on Supersymmetry and Division Algebras at the 2nd Mile High Conference in Nonassociative Mathematics.
On February 26th, 2009 I took my oral exam and advanced to PhD candidacy. My talk concerned Grand Unified Theories, just like this paper. You can find the slides here, and a more printer-friendly version here. I also gave this talk on February 5th in Professor Michel Lapidus's Mathematical Physics Seminar.
On November 13, 2008 I gave a talk on Grand Unified Theories in
Michel Lapidus's
On June 5th, 2008 I gave talk on Quantum Mechanics and Representation Theory in
Michel Lapidus's
On April 10th, 2008 I gave a talk on The Octonions in
Michel Lapidus's
In Spring 2008, I gave a series of lectures on grand unified theories in John
Baez's Quantum Gravity seminar.
I gave a talk in our departmental seminar on how to get started with LaTeX.
Check out my tips here.
During the 2008–2009 school year, John Baez taught a course on Lie theory
in his seminar. You can
find his notes for the Fall quarter here, and notes for the
Winter quarter below:
I have been a teaching assistant for the following courses at UC Riverside:
During the summer I have been the primary instructor for the Topology
Qualifying Exam Seminar, taught to help prepare graduate students for their
topology qualifier, and for Math 9C, the third quarter of calculus. For this
last course, you can read my evaluations here and my
student comments here.
Last year, I was one of the recipients of the Graduate Research Mentorship
Fellowship here at UC Riverside. This year, I am partially supported by a
grant
from the Foundational Questions Institue (FQXi).
I am grateful to both UCR and FQXi for their support.
Look here for my tips on getting started with
LaTeX.
Notes
Lie Theory Through Examples
Teaching
Math 4 - Precalculus
Math 5 - Precalculus
Math 8A - Introductory Calculus
Math 9ABC - Introductory Calculus
Math 10A - Vector Calculus
Math 22 - Business Calculus
Math 131 - Linear Algebra
Math 151C - Advanced Calculus
Math 165A - Complex Analysis
Math 171 - Abstract Algebra
Support
LaTeX for Beginners
© 2010 John Huerta
huerta at math dot ucr dot edu