Past Teaching

At Harvard University

In Spring 2020, I was sole instructor for Math-123 (algebra II: rings and fields).
In Fall 2019, I was sole instructor for Math-155r (combinatorics) and Math-145a (set theory I).
In Spring 2019, I was a section instructor for Math-21b: linear algebra and differential equations.
In Fall 2018, I was sole instructor for Math-101 (sets, groups, and topology) and Math-141a (mathematical logic I).
In Spring 2018, I was sole instructor for Math-154 (probability theory) and Math-269X (model theory for abstract elementary classes).
In Fall 2017, I was a section instructor for Math-21a: multivariable calculus.

At Carnegie Mellon University

In Spring 2017, I was a teaching assistant for 21-127 Concept of Mathematics.
In Fall 2016, I was given a semester off teaching by the department.
In Spring 2016, I was a teaching assistant for 21-127 Concept of Mathematics.
I was not teaching from the beginning of Fall 2014 to the end of Fall 2015. I was supported by a Doc.Mobility fellowship from the Swiss National Science Foundation.
In Summer 2014 (session one), I was the instructor for 21-127 Concepts of Mathematics.
In Spring 2014, I was given a semester off teaching by the department.
In Fall 2013, I was also grading for 21-300 Basic Logic.
In Fall 2013, I was (once again) a teaching assistant for 21-120 Differential and Integral Calculus.
In Spring 2013, I was a teaching assistant for 21-127 Concepts of Mathematics.
In Fall 2012, I was a teaching assistant for 21-120 Differential and Integral Calculus.
In Spring 2012, I was the grader for 21-329 Set Theory.

Collected teaching notes

See the corresponding course websites for context and more information.

Lecture notes for Math-145a Set theory I, an undergraduate course (Fall 2019), 112 pages.
For Math-155r (combinatorics) (Fall 2019):
- Notes on Schur's theorem and Fermat's last theorem modulo a prime.
- Notes on the Erdős-Ko-Rado theorem.
For Math-141a (mathematical logic I) (Fall 2018):
- Notes on the Model theory of fields.
- Notes on Nonstandard analysis.
- Notes on Compactness and graph colorings.
- Notes on Arrow's impossibility theorem.
- Notes on Computability and arithmetic.
- Notes on the completeness theorem.
- Notes on Skolem's paradox.
- Notes on the infinite "prisonners and hats" puzzle.
For Math-101 (sets, groups, and topology), an introduction to proof class (Fall 2018):
- Supplementary notes on the real line.
- Quick reference sheet on the axioms, facts and theorems of the real line.
- The solution to the problem on the sum of interior angles of polygons discussed in class.
For Math-154 (probability theory) (Spring 2018):
- Notes on Stirling's formula.
- Notes on The limit theorems.
- Notes on The two envelopes problem.
- Notes on Building probability spaces.
- Notes on Solving linear difference equations.
- Notes on The probabilistic method and Ramsey's theorem.
- Notes on The "mad secretary".
- Notes on The Monty Hall problem.
- Notes on The birthday paradox.
Lecture notes for Math-269X Model theory for abstract elementary classes, a research course (Spring 2018), 80 pages.
Lecture notes for 21-127 Concepts of Mathematics, an introduction to proof-based math (Summer 2014), 96 pages. Also re-used as a secondary reference for the Fall 2018 Math-101.

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