In Fall 2021, I will be teaching Math 180A Introduction to Probability Theory at University of California, San Diego. I am available and currently working with graduate and undergraduate students on reading courses and research projects.
Reading groups
I am helping to organize the following reading groups for graduate students. If you are interested in joining, please email me at djekel@ucsd.edu.
- Free probability
- Von Neumann algebras and deformation/rigidity
- Non-commutative analytic functions and rational functions
Teaching Resources
Analysis
- Note on construction of decimal expansions for rational numbers.
- Review on the basics of complex numbers.
- Note on the Darboux integral.
- Note on uniform continuity and uniform convergence.
- Notes on compactness in metric spaces, including the Arzela-Ascoli theorem.
Linear Algebra
- Exercises on finding a basis for the kernel and image of matrix.
- Exercises about projections onto lines and similarity.
- Exercises on Gram-Schmidt algorithm.
- Exercises on eigenvalues and eigenvectors.
- Chart about equivalent statements in basic linear algebra.
- Notes on inner product, orthogonal projections, etc.
Teaching Experience
Teaching Assistant at UCLA (2015-2019)
- Math 33A Linear Algebra, Fall 2015 and Winter 2016.
- Math 33B Differential Equations, Winter 2018.
- Math 61 Discrete Structures, Fall 2017.
- Math 131A Analysis, Spring 2016.
- Math 131B Analysis, Fall 2016, Winter 2017, and Winter 2019.
- Math 131C Topics in Analysis, Spring 2019.
- Math 275A Probability (Graduate), Fall 2016.
Teaching Assistant at UW (2013-2015)
- Math 134/135/136 Honors Calculus (2013-2014).
- Math 334/335/336 Honors Advanced Calculus/Analysis (2014-2015).