Experienced Math PhD and University Instructor

Sam F.

I hold a PhD in Mathematics from Brown University, where I specialized in areas such as geometry, topology, and dynamical systems. My dissertation focused on translation surfaces and Teichmüller dynamics. I am currently a postdoctoral researcher at the University of Chicago, where I continue to develop my expertise in these and related mathematical fields.

I have over ten years of teaching and tutoring experience, including working as a mathematics instructor at the university level. My teaching methods emphasize building a deep understanding of foundational concepts, which is particularly helpful for complex topics. I aim to make abstract concepts accessible by breaking down difficult ideas into manageable steps, often using visual aids, real-world analogies, and problem-based learning. My experience also includes mentoring undergraduate and graduate students one-on-one in advanced mathematics.

I have taught students ranging from high school through graduate levels, with experience in both classroom and individual settings. During my postdoc, I have taught in a formal classroom three times a week, with additional office hours to assist students individually. My tutoring experience has been both professional and volunteer-based, allowing me to work with students across diverse backgrounds and skill levels. My approach is adaptable to the needs of each student, whether they are preparing for exams, working on specific projects, or aiming to advance their understanding of mathematical theory.