UCLA Department of Mathematics

Los Angeles, CA, USA 90095-1555

Research | Teaching | About Me | Tutoring | Links

Additive combinatorics, particularly approximate groups. Applications of model theory to large-scale phenomena.

Here is my thesis on the classification of "continuous" approximate groups. (Technically, of open precompact approximate groups in locally compact groups.)

- Spring 2015: Math 3C (Probability for Life Sciences Students)

UCLA Math Circle, high school I group

We talked about complexity theory and the interplay of discrete and continuous in mathematics, with applications to simple dynamical systems and discrete geometry. - Winter 2015: UCLA Math Circle, high school I group

We talked about algorithms and the halting problem, and their larger significance in mathematics. Then we moved on to problem-solving techniques,

including invariants and extremes, and more invariants, and trying small cases.

At the final meeting we played and analyzed several different combinatorial games, including some famous ones. - Fall 2014: UCLA Math Circle, high school I group

We talked about bijections both finite and infinite, and later about Ramsey theory and the probabilistic method.

At the final meeting we had a little problem-solving competition.

- Summer 2015 session C: Math 32A (Multivariable Calculus) with Professor Denomme, and Math 95 (Introduction to Proofs) with Professor Pauwels
- Summer 2015 session A: Math 1 (Precalculus) with Professor Greene
- Spring 2014: Math 61 (Discrete Mathematics) with Professor Kwiatkowska, and Math 180 (Combinatorics) with Professor Pak
- Winter 2014: Math 180 (Combinatorics) with Professor Rothschild
- Fall 2013: Math 131A (Analysis) with Professor Schaeffer, and Math 246A (Graduate Complex Analysis) with Professor Bonk
- Spring 2012: Math 2 (Finite Mathematics) with Professor Greene
- Winter 2012: Math 2 (Finite Mathematics) with Professor Guerberoff
- Fall 2011: Math 3C (Probability for Life Sciences) with Professor Goldbring
- Summer 2011: Math 170A (Probability Theory) with Professor Barbaro
- Spring 2011: Math 182 (Algorithms) with Professor Roch
- Winter 2011: Math 115B (Linear Algebra) with Professor Antieau
- Fall 2010: Math 1 (Precalculus) with Professor Calahan

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I do not tutor students currently enrolled in my classes!

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- Seminar Links:
- Some math things I read on the web:

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