Author Archives: Avery Carr

About Avery Carr

Avery Carr is a senior analyst and past senior editor for the American Mathematical Society Grad Blog. He and his wife, Alison, live in Olive Branch, MS.

The Lonely Runner Conjecture

The eminent mathematician Carl Friedrich Gauss once said, “Mathematics is the queen of the sciences.”   Considering this statement to be true, it is easy to see the span of her kingdom.  From the design of airplane wings to the ever increasing … Continue reading

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Ramanujan’s Taxicab Number

Mathematical discoveries are not always birthed in the delivery room of revolutionary thinking.  Often times, they are found in small interactions that emerge from casual conversations.  Throughout history, the frontiers of mathematics have been riddled with concepts protruding from the … Continue reading

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The Problem Of Brocard

Down through the river of time, rapids of mathematical imagination have emerged curving the path of linear thought.   Often times, problems arising from these rocky waters branch off into smaller streams and drift indefinitely avoiding the trappings of resolution.  One … Continue reading

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The Collatz Conjecture

Mathematical inquiry can lead down jagged paths hewed deeply in the landscape of abstract thought. The English cleric Charles Caleb Colton once said, “The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” This magnificence can … Continue reading

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Odd Perfect Numbers: Do They Exist?

Mathematical inquiry can often lead to a jungle of unique questions and problems.  In the field of Number Theory, there are a wide assortment of such mathematical creatures.  Although these problems are easy to state, they can remain dormant for … Continue reading

Posted in AMS, General, Math, Math in Pop Culture | 35 Comments