Math Circles Instructors wanted! (Apply here -
new link will be up soon)
Math Circles at the Fields Institute is looking for new volunteers
to teach bright high school students interesting topics in
mathematics. The goal of Math Circles is to introduce different
topics in mathematics not necessarily taught in school, while
keeping things fun! In particular, we are looking for instructors
to do one of the following topics:
Introduction to Real Analysis
Introduction to Graph Theory
Introduction to Topology
Introduction to Groups and Rings
The Game of Go
Other topics are welcome!
Lectures are held at the Fields Institute on Saturday afternoons
from 1pm - 3pm.
Math Circles have been active in Toronto for several years.
While some of the students who attend simply like to work
on challenging problems, many others use the weekly circles
meetings to help them prepare for competitive mathematics
contests, either individually or as members of a team. Some
of the past participants in this program have gone on to represent
Canada at the International Mathematical Olympiad, the most
elite and prestigious of these competitions. Fields is committed
to supporting students to take part in competitions outside
The Fields Mathematics Circles sessions are open to high
school students (grade 9& 12) from throughout the Toronto
area. Math Circles is held at the Fields Institute on Saturday
afternoons. There are about 50 students participating on a
weekly basis. There will be 10 to 12 sessions in the fall
term (late September to early December) and another 10-12
in the winter spring term, ending by late May.
The Math Circles concept was developed in Moscow in the 1950's
as a way to maintain the interest of bright students in mathematics.
Challenging material from outside the regular curriculum,
as well as preparation for problem solving competitions were
seen as the key to maintaining this interest. A critical component
to the success of this concept was the active involvement
of some of the major figures of the Moscow mathematical community.
And, indeed, the Math Circles proved to be highly successful
with similar groups established throughout the Soviet Union
and beyond. The migration of former Soviet scientists to the
West at the end of the twentieth century carried the concept
to North America.
- Please note that there will be NO Match Circles on
Saturday, May 30, 2015! -- posted May 25, 2015.
Announcement from the organizer, Sarah Sun. -- posted
October 16, 2014
Hello Advanced Math Circles,
Sacha Mangerel will be teaching a series in Real Analysis
over the next three weeks for the Advanced Group. Since this
is a series, please try to make sure you do not skip any of
these lectures, or the next one will be harder! The topics
covered will include:
- Construction of real numbers
- Introduction to Cardinal arithmetic
- Sequences and continuous functions
- Derivatives and the Mean Value Theorem
- Theory of Riemann integration an Fundamental Theorem of
Each week, we will have the lecture posted online, and at
the end of each lecture there will be problem sets. You'll
want to review the lecture notes from the previous week going
into the lecture.
See you soon!
October 18, 2014 lecture notes from Sacha Mangerel : Hanout
--- (Posted October 22, 2014)
You can also download Sacha's notes from here: https://sites.google.com/site/amangerel/recreational-math/math-circles
--- NEW (Posted October 27, 2014)
Please be advised that we will have
a new registration page up soon. In mean time, you can register
when you arrive. Check this webpage for more updates.
WINTER/SPRING SCHEDULE FOR 2015-2016
September 26, 2015 - First day of Math Circles
October 3, 2015
October 10, 2015
October 17, 2015
October 24, 2015