Short Attention Span Math Seminars

Spring 2016

The Spring 2016 SASMS will be held on Tuesday, July 5 at 5:00 in MC 5501. If you would like to give a talk, you may do so by clicking "Sign Up" above.


Talk Title
Bryan Coutts
Intro to Quantum Computing
David Benjamin Urbanik
Nuking Mosquitoes
Pure Math Club
Ilia Chtcherbakov
Fusible Numbers
Taras Kolomatski
Stone-Weierstrass by Functional Analysis
Shelley Wu
The Robinson-Schensted-Knuth Correspondence
Linda Cook
Lenstra-Lenstra-Lovász Algorithm
Xinle Dai
What are modular forms?
Guo Xian Yau
Combinatorial Game Theory


Nuking Mosquitoes

When all you have is a hammer, everything looks like your thumb.


A hands-on investigation of monohedral disk tilings.

Fusible Numbers

An engineer recalls a lateral thinking puzzle he heard once, about measuring time with fuses, and tells it to his buddies, a physicist and a mathematician. The mathematician is stumped, but the physicist figures out the solution in like a minute. She gives a hint to the mathematician. After a moment's thought, his eyes suddenly widen and he scrambles to grab a piece of paper and something to write with, muttering something about order theory.

Stone-Weierstrass by Functional Analysis

Because proving it via the Weierstrass Approximation Theorem is sooooo PM351.

The Robinson-Schensted-Knuth Correspondence

In rep theory, the irreducible reps of $S_n$ are indexed by shapes with $n$ boxes. Moreover, the collection of a certain kind of labelling of those boxes, called Standard Young Tableaux, forms a basis of the irreducible reps. This gives rise to the identity $\sum_{\lambda \vdash n} f^{\lambda} = n!$. Originated from rep theory, this identity is combinatorially justified by the bijection between pairs of SYT, a combinatorial object, and permutations, established via the RSK correspondence.

Lenstra-Lenstra-Lovász Algorithm

A beautiful polynomial time algorithm for lattice basis reduction.

Combinatorial Game Theory

Some games are numbers, and some numbers are games. Given a game G, what does it mean for a game to be positive? Why do we care about representing numbers in terms of games? Come to the talk and you will see. (: If time permits I will talk about games that are NOT numbers, and how they are represented in modern geometry.