michigan math clubdept.math.lsa.umich.edu/mathclub/winter2019/041119.pdf · 2019. 4. 4. ·...

Michigan Math Club

Jellybean arbitrageand Smith normal form

John Wiltshire-Gordon (University of Wisconsin) • 11 April 2019

Is it better to buy avocados 3 for 5 dollars or 5 for 8 dollars? What if there are threecommodities (red, green, and blue jellybeans) instead of avocados and dollars?

In this talk, we spend jellybeans to make jellybeans, thanks to linear algebra overthe integers.

Michigan Math Club

1

Michigan Math Club

Jellybean arbitrageand Smith normal formJohn Wiltshire-Gordon (University of Wisconsin)

11 April 2019

Is it better to buy avocados 3 for 5 dollars or 5 for 8 dollars? What if there are threecommodities (red, green, and blue jellybeans) instead of avocados and dollars?

In this talk, we spend jellybeans to make jellybeans, thanks to linear algebra overthe integers.

Michigan Math Club

1

Michigan Math Club

Jellybean arbitrageand Smith normal formJohn Wiltshire-Gordon (University of Wisconsin)

11 April 2019

Is it better to buy avocados 3 for 5 dollars or 5 for 8 dollars?What if there are three commodities (red, green, and bluejellybeans) instead of avocados and dollars?

In this talk, we spend jellybeans to make jellybeans, thanksto linear algebra over the integers.

Michigan Math Club

1