University of Notre Dame

EVENTS CALENDAR

Tue Feb 9, 2016

Wed Feb 10, 2016

Where Quantitative Skills Can Take You After ND

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Location:

In this “Ask the Actuaries” seminar, Andrew Karl ‘08 offers an independent contractor’s perspective on where quantitative skills can take you after graduation from Notre Dame.

Refreshments will be served.

Sponsored by the Delahanty Family Endowment for Excellence in Mathematics, the Department of Applied and Computational Mathematics and Statistics, and the Actuarial Science Club

Mon Feb 15, 2016

Tue Feb 16, 2016

Wed Feb 17, 2016

Fri Feb 19, 2016

Tue Feb 23, 2016

Thu Feb 25, 2016

Math For Everyone: The Prime Numbers and Statistics

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Location: 101 Jordan Hall

In a letter from 1849 Gauss wrote that as a young boy he wanted to count the prime numbers, which he could do if he pretended the prime numbers are distributed randomly among the integers. Gauss also wrote down, for the first time, a formula for the probability that an integer number is prime. Seventy years later Hardy and Littlewood remarked that this statement is more philosophical than mathematical, but the statistical point of view on how prime numbers behave has revolutionized number theory from the celebrated (not yet proven) Riemann hypothesis to cryptography. We will look at a number of different statistical models governing the behavior of prime numbers and statistically predict potential theorems, which include Euclid’s twin prime conjecture, as well as an estimate on how many primes numbers are good for cryptography. There is no hope that statistics can ever prove such theorems about prime numbers, but nevertheless having precise expectations for how prime numbers are distributed can be of enormous value in research.…

Tue Mar 1, 2016