https://doi.org/10.4169/amer.math.monthly.122.6.567 https://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.567 We demonstrate how connections between graph ...

Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote the set of simultaneously ψ-approximable points lying on C. We show that C is of Khintchine type ...

Arithmetic geometry and Diophantine geometry lie at the confluence of number theory and algebraic geometry, exploring the deep connections between the arithmetic properties of numbers and the ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

Ciara Ottewill is a stickler for accuracy, so she is unhappy with the typical "close" approximations used for the value of numbers like pi. She wanted the numbers to be more accurate yet easy to ...