# Felipe A. Ramírez

### Assistant Professor of Mathematics

Exley Science Center, 619860-685-3100

BS Colorado St University

PHD University of Michigan

# Felipe A. Ramírez

Mathematics research: ergodic theory and dynamical systems, Diophantine approximation, and fractal geometry.

Lately, Ramirez's research has focused in a branch of number theory called Diophantine approximation. Here, the basic goal is to find out the extent to which one can use rational numbers (numbers that can be expressed as fractions) to approximate irrational numbers (numbers that cannot be expressed as fractions). Diophantine approximation has fascinating connections to dynamical systems, where one studies the time-evolution of geometric objects under certain processes. Fractal geometry also plays an important role. For example, sets of real numbers with prescribed approximation properties tend to have fractal dimension.

This interview for the Wesleyan Newsletter has a bit more.

### Academic Affiliations

### Office Hours

Tuesdays 9 to noon

### Courses

**Fall 2019**

MATH 255 - 01

Fundamentals of Analysis II

MATH 513 - 01

Analysis I

**Spring 2020**

MATH 122 - 02

Calculus I, Part II

MATH 225 - 02

Fundamentals of Analysis