Education
I am currently working on maintaining the Math 135 Resources page found here . Many of the resources found there I created while teaching Math 135 during my first term in 2015.
One of my biggest projects involved working on maintaining the Math Exam/Educational Resources wiki found here or the stand alone project found here . The project is geared to be an educational resource for students taking undergraduate mathematics classes (with a focus on courses offered at The University of British Columbia). Here we collected instructional videos, exam solutions, as well as study advice for students. Please do check it out if you haven't seen it yet!
You can find a copy of a preprint to our paper on the Math Exam Resources wiki here
In 2013, I worked on creating a syllabus for MATH 103, a course in integral calculus for life science students. The file can be accessed here. The file is freely available for download (and for alterations - it is licensed under CC-BY-SA) on this Github repository.
Here is a continuity application I made as a part of the TAAP accreditation program.
By request of Rich Dlin, I've included his Geogebra Applications made as a part of Math 137 and Math 138 at Waterloo.
Research
Below are some of the talks I have given on my research.
A copy of the talk I gave for CMS Winnipeg and for CNTA Ottawa can be found here.
A copy of the talk I gave for CMS Montreal in December of 2012 can be found here. The OEIS reference found in this file can be found here.
A copy of the graduate colloquium talk I gave on November 29th, 2012 can be found here
Here is a continuity application I made as a part of the TAAP accreditation program.
A copy of my Masters project on the Riemann-Roch Theorem for algebraic curves can be found here.
Assorted Files From The University of British Columbia
Comprehensive Exam
This is my Comprehensive Exam File. As a requirement for obtaining a Ph.D. in mathematics at UBC, one must write and pass a qualifying exam. To prepare for this, I tried to solve as many relevant questions as possible. Here is a copy of the document I created while solving these problems. I would like to thank Faisal al-Faisal and Vince Chan for their help with the problems and correcting the material. As a caveat, I must warn the reader that some solutions might be incorrect and that the file is incomplete. At the very least, this file can serve as a guide for solving problems and provide the statements of the relevant theorems needed to pass the exam.
Since posting this file, many other UBC students have been joining to help future students tackle this exam. One such student, Maxime Bergeron has given me his file to post here.
Lie Algebra Files
Below are some files I created for a Lie Algebra course I took in my second year.
Compute the determinant of the Killing form with respect of the standard basis for the Lie algebra sl(3,C) via brute force.
- MAPLE file.
- Text file.
Compute the determinant of the Killing form with respect of the standard basis for the Lie algebra sl(n,C). (Uses the fact that this is just 2nTr(xy) via an exercise from class).
- MAPLE file.
- Text file.
Compute the determinant of the Killing form with respect of the standard basis for the Lie algebra sl(n,C) quickly. (Left as an exercise to the reader to verify its correctness).
- MAPLE file.
- Text file
Also, see an updated entry in OEIS on the above.
Algorithms Seminar
In January-June 2014, I ran a graduate seminar in algorithms. Check us out on Piazza: course code MATH 701. Our course consisted of learning about Python culminating with Kivy and the creation of our first cell phone applet - Shugou .