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 […]

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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.)

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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 […]

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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 […]

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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 […]

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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.

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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 […]

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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 […]

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My Recent Talks on Itzkowitz’ Problem

On Friday May 18th, I gave the following presentation (here) at the Ottawa Mathematics Conference 2012. It was 25 minutes long and went over well. On Friday May 25th, I gave an expanded talk (here) at the Toronto Set Theory and Topology Seminar. The talk lasted about 55 minutes and afterwards I had some interest […]

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Erdös numbers

(This talk was given as part of the What We Talk About lecture series at No One Writes to the Colonel on May 17, 2012) Math is many things: beautiful, fundamental, universal, but ultimately, math is hard. So hard in fact that mathematicians often need to phone up their other mathematician friends for help. The […]

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