Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, July 21, 2015.

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      June 2015              July 2015             August 2015     
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Tuesday, July 21, 2015

12:00 pm in 343 Altgeld Hall,Tuesday, July 21, 2015

$e^{\pi \sqrt{163}} = 262\,537\,412\,640\,768\,743.999\,999\,999\,999\,25\ldots$

Nick Andersen (University of Illinois at Urbana-Champaign)

Abstract: It is not a coincidence that the irrational number in the title is extremely close to an integer. In my talk, I will attempt to explain this deep, beautiful fact which lies at the intersection of algebraic and analytic number theory. I will talk briefly about imaginary quadratic fields, Gauss' class number problem, the modular $j$-invariant, and singular moduli.