Cavalcade – Mathematical Connections

About the Cavalcade The collection of sheets is very diverse, ranging from interesting and/or beautiful figures to amusing tidbits to “aha” visualizations and historical documents or insights; some of them honor a particular mathematician. There is no mathematical rhyme or reason to their order here: this is simply the order in which they were manufactured,Continue reading “Cavalcade – Mathematical Connections”

Garden – Mathematical Connections

The young chipmunks engage in play, sorting primes on a grid playground using acorns to explore factors, while holding clay tablets with Babylonian cuneiform numerals. They discover which numerals are prime and which are composite through brute force with their limited tools: for each number they count out exactly that many acorns and then seeContinue reading “Garden – Mathematical Connections”

Prime Play on a Prime Day 3/11/43×473 and 11 are prime, and while we are not in a prime year, 2021 is the product of two consecutive primes.

The Chipmunks Sorting Primes Vignette in a way expresses my path in mathematics which went from a blind acceptance of facts – here’s a formula, plug and chug, and it will work – to understanding that mathematics is a human endeavor, one where we can create the rules and see how it evolves.

Primes in the Garden

When people ask me what number theory (my research area) is, we invariably end up talking about primes. When they ask me what I like about my field, I tell them about how I love to see patterns and make connections–something I like about all of mathematics–and about how number theory in particular has problemsContinue reading “Primes in the Garden”