My Talks


I am available to give many different talks. These are my talks that I already gave somewhere and can resurrect upon request:

My talks can be adjusted for different audiences. If you would like to schedule me to speak to your group or to arrange a math party, please email me.


Integers and Sequences

This talk is targeted for undergraduate math students or advanced high school students. I assume the knowledge of binomial coefficients. I gave variations of this talk at BAE Systems, The Math Circle, UMA MIT, IAP MIT, Harvard Math Table, Princeton University Math Club, Girls' Angle, G4G8 (a short version), Wayne State University, Metroplex Math Circle, Shevah-Mofet, Tel-Aviv, ITA Software, UMass Lowell, WaM program at IAS 2010.

Abstract

Have you ever heard of "untouchable numbers"? How about "aspiring numbers"? I will tell you what they are.

I will explain how "perfect numbers" are connected to Mersenne primes. I will describe the biggest known prime number.

Have you ever wondered which is the most famous number sequence? Or which is the most versatile sequence? We will discuss that.

What is the largest amount of money in coins that you can have without being able to make change for a dollar? You can bring your answer to this seminar. What is so special about 1089? You will learn that, too. Is 42 (The Answer to Life, the Universe, and Everything) more famous than 47 (the secret Star Trek TNG number)? I promise you the answer to that.

I will also show you key Internet resources about numbers, so that you'll be able to discover new truths about your favorite numbers.


Baron Munchhausen's sequence, (joint work with Konstantin Knop and Alexey Radul)

This talk can be adjusted to high school students and undergraduate students. I gave this talk at UMA MIT 2010, IAP MIT 2010 (a short version), WaM program at IAS 2010.

Abstract

The Baron Munchhausen's coin problem appeared in a Russian Olympiad. We created a sequence out of this problem. I will completely describe the sequence. On the way, I will talk about decompositions of integers into triangular numbers and touch upon the Riemann hypothesis.


Invariants

This talk is targeted for people who are interested in problem solving. I gave this talk at UMass, Lowell.

Abstract

Invariants can produce beautiful solutions to many Olympiad style problems. I show two magic tricks during my talk. I gave this talk at UMass, Lowell.


Set Game Theory

This talk is targeted for high school students or any people who love the game of set. I gave this talk at The Math Circle, the program for Women and Mathematics in Princeton 2009.

Abstract

It is not set theory. It is not game theory. It is the theory of the game of set. I will teach you how to play the game, explain the game's theory and then show some bonus activities. I have only four sets of the game of set. If you have a set of the game, please bring it along.


Clifford Algebras and Graphs

This talk is targeted for undergraduate and graduate students. I gave this talk at MIT combinatorics seminar, Hebrew University, Bar-Ilan University.

Abstract

I will show how to associate a Clifford algebra to a graph. I will describe the structure of these Clifford graph algebras, with the help of a variety of examples and pictures. You'll learn which graphs correspond to isomorphic Clifford algebras and hear about other related sets of graphs. I'll even hint at how this construction can be used to build models of representations of simply-laced compact Lie groups.


Binary Numbers

This talk is targeted for middle-school children. I gave this talk at The Math Circle, Girls Angle, Metroplex Math Circle, MetroWest School of Mathematics.

Abstract

I'll teach binary numbers, show two magic tricks and then we'll play with binary dollars.


Divisibility

This talk is targeted for middle-school children. I gave this talk at MetroWest School of Mathematics.

Abstract

I will discuss the divisibility rules, teach you to play the flip-flop game and dazzle you with two magic tricks.


Topology and Art

This talk can be adjusted to different levels from middle-school to graduate school. I gave this talk at the program for Women and Mathematics in Princeton 2008.

Abstract

I'll use drawings of Anatoly Fomenko and YouTube movies to discuss topology.


Unique Tournaments and Radar Tracking

This talk is targeted for undergraduate or graduate math students. I gave this talk at MIT Combinatorics seminar, Tel-Aviv University Combinatorics seminar,

Abstract

I will talk about radar tracking rules and define tracking and non-tracking sequences. I will also discuss tournaments, score vectors and define unique tournaments. One of the non-tracking sequences is the same as the sequence counting unique tournaments. I will define a bijection between unique tournaments and binary strings.


Lottery Mathematics

This talk is targeted for a general audience. I gave this talk at BAE Systems, The Math Circle, UMA MIT, IAP MIT, Brandeis.

Abstract

If you analize the Mega Millions lottery game, the probability of winning and the expected value of the game depend on the Jackpot. How big should the Jackpot be in order that your expected return is bigger than your investment? Is Mega Millions ever worth playing?

Do you know how your chances change when you buy many tickets or when you pool money together with other people?

We'll look at other lotteries and learn about famous scams, as well as some clever, not-so-famous schemes for attempting to beat lotteries.


Double Trouble

This talk is targeted for curious programmers and advanced computer science students. Here are the PowerPoint slides of my Double Trouble talk. If you prefer to think about puzzles before reading their solutions, then watch this presentation as a slide show. I gave this talk at MIT.

Abstract

I have a large collection of the puzzling behaviors of Doubles in Java. First I'll explain the theory behind the doubles, and then I'll offer suggestions on how to handle the double's misbehavior and what to avoid. Doubles might be scary, but they are also fun.


Pi Day

This half-hour talk is targeted for a general audience of math lovers. I gave this talk at BAE Systems. PowerPoint Pi Day Talk Slides

Abstract

In a celebration of the Pi Day I will share with you fun facts about number Pi.


Math Party

This party is targeted for a general audience of math lovers starting from age 12. They are arranged in teams of at least four people and the fastest team wins. I conducted such a party at BAE systems and at the Program for Women and Mathematics in Princeton in 2008, WaM program at IAS 2010.

Abstract

I you will compete in fun hands-on math activities.


Modern Cryptography

This talk is targeted for non-mathematicians or beginner mathematicians interested in modern cryptography. I gave this talk at BAE Systems.

Abstract

Starting from classical cryptography and continuing into public-key cryptography, I discuss different aspects of modern cryptography.


The Odd One Out

This ten-minutes talk is targeted for a general audience. I gave this talk at G4G9.

Abstract

I have odd-one-out questions, that why I invented one.


Unrevealing Coin Weighings

A ten-minute talk for puzzle lovers. I gave this talk at G4G9.

Abstract

A coin weighing puzzle that first appeared at a Russian Olympiad has roots in cryptography.


Last revised April 2010