pre-REU 2023: Approximately Rational Numbers and Continued Fractions

application form (for University of Utah students)
(applications will begin being reviewed March 31, 2023, but remain open until positions are filled)

poster

when:

• July 10 (Monday) - August 4 (Friday), 2023
• 9:30am - 3:00pm Mountain Time on weekdays.

where:

• The University of Utah campus, exact room TBA

who:

• The program will accept University of Utah students who are enrolled in or considering a math-adjacent major. Students from histroically marginalized groups in mathematics are particularly encouraged to apply!
• The program content is targeted at students finishing their first or second year at the U who have completed at least Calculus II (or equivalent) and have not yet completed a foundations of analysis course.
• The mathematics in the program will uncover patterns in real numbers by considering approximations by rational ones.
• No programming experience is required.

what:

• You will be introduced to mathematical research, by considering fundamental questions about numbers from new perspectives. Topics may include, but are not limited to: Diophantine properties, continued fractions, and dynamics of circle rotations and interval exchanges.
• You will work closely with other students and program staff while solving interesting problems.
• You will develop skills, knowledge, and confidence for future success in mathematics in an inclusive, supportive, and enthusiastic environment.

stipend:

• Participants will be PAID a $2,000 stipend for their participation.
• Funding available for US citizens only. Exceptional international candidates may be considered for funding on an ad-hoc basis.

questions/contact:

• Please write to Kurt Vinhage at vinhage@math.utah.edu