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530 Church Street
Dept. of Mathematics
University of Michigan
Ann Arbor, MI 48109

Office: 5840 East Hall

Email: jmeyster@umich.edu

About Me

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This is a picture of me and my cat Leonidas. I am a 3rd year graduate student studying pure mathematics at the University of Michigan.

Mathematical Interests

I am currently researching Lie groups and algebraic groups with Professor Gopal Prasad. In particular, I am focusing on how techniques of algebraic number theory can be applied to answer geometric questions about Lie groups and locally symmetric spaces. I am also interested in algebraic topology, geometric topology and geometry, in particular where these areas intersect with physics.

Teaching Interests

Lesson Objectives: When planning a lesson, instructors are advised to begin by identifying their objectives for that lesson. To better understand how these objectives are understood by students at the end of the lesson, a colleague Matt Elsey and I analyzed several introductory mathematics classes at the University of Michigan. Our findings point to frequent discrepancies between the objectives of the teacher and the objectives perceived by the students. As such, I have been focusing on clearly and concisely conveying the major ideas of a given lesson.
Learning Objects: Despite the seemingly endless technological resources available to us, it is surprisingly hard to find such objects which are useful in a calculus reform-style course. Recently I have become involved in designing new online resources as well as repackaging existing ones for implementation in the introductory calculus courses at the University of Michigan. In collaboration with Michelle Lee, I have created an online learning object to help introductory precalculus and calculus students write mathematics. This site can be found here.