# Category Archives: Presentation

## How to Read, Understand and Study Proofs

(This talk was given on March 31, 2014, at the University of Toronto to a class of mostly MAT 137 students. It was standing room only!) In my first year of undergrad I was bad at proofs. In my second year of undergrad I was terrible at proofs. In my third year I was okay […]

## Absolute Chaos is Impossible!

(This is a talk I presented for the Classroom Adventures lecture series on January 17, 2014, for high school teachers.) (Apparently the video of this talk will be made available online. I will link it when it is available.)

## Using Dushnik-Miller to prove that every sigma-compact group is ccc

(This is the write-up for a talk I gave in the Toronto Student Set Theory and Topology seminar on May 2, 2013.) A couple of weeks ago I gave a talk for the set-theoretic topology course I was in, on the topic of cardinal invariants of topological groups. While I was preparing that presentation I […]

## A Survey of Cardinal Invariants of Topological Groups

(This is a presentation I gave for Bill Weiss’ course Set-Theoretic Topology on April 19, 2013. In class we discussed some cardinal invariants and how they are related; here I will survey what happens when we look at the cardinal invariants of topological groups.) This review follows very closely the discussion in section 5.2 of Arhangel’skii […]

## Kangaroo Contest 2013 Talk about Cryptography

On Sunday March 24, 2013, I gave a talk on the History of Cryptography [PDF], at the University of Toronto (Scarborough) for the parents of students writing the Kangaroo Contest. I had many questions after my talk, so here are some answers to the questions I received.   Where did you get this information? Most […]

## My Presentation on T-sequences for the Toronto Set Theory Seminar

On February 15, 2013, I gave a talk entitled “A robust family of topological groups on $\Z$”. Here are my slides.

## Let’s Make Some T-sequences

(This was the basis for a talk I gave at the Toronto Student Set Theory and Topology seminar on January 15, 2013. The assumed knowledge is an undergraduate course in general topology. This is only a draft, and will be updated soon.) Introduction There are many questions in mathematics and sciences in general whose main […]

## Hindman’s Theorem write-up

It came to my attention that Leo Goldmakher had written up notes for a lecture I gave in August 2011 on the proof of Hindman’s Theorem via ultrafilters. The notes are quite nice so I thought I would share them. Here is a link to the notes (pdf) and here is Leo’s website. The lecture […]