Research in Mathematics

In Graph Theory and REX Math, offered in both the Fall and Spring semesters, students learn formal proof techniques throughout the semester, and in the final two-three weeks of the semester, students engage in solving an open-ended Graph Theory problem.  They do this in collaborative groups and present their findings during finals week, along with submitting a final paper.

In our RMath semester course, students engage in solving open-ended research problems in collaborative groups over the series of weeks throughout the semester.  Along the way, students present their benchmark results and engage in rigorous problem-solving and proof technique throughout.  This is an application-based course.

In RMath Jterm, students focus all of their attention on one open-ended problem of their interest and engage in collaborative work throughout.  As a culminating project, students both present their findings to the class and write a formal paper to communicate their research.  There is no prerequisite for this opportunity.

In all of our research opportunities, students gain fluency in formal proof writing, developing and testing conjectures, and constructing logical arguments.

In our RMath semester course, students engage in solving open-ended research problems in collaborative groups over the series of weeks throughout the semester.  Along the way, students present their benchmark results and engage in rigorous problem-solving and proof technique throughout.  This is an application-based course.

Students in this program have a very strong interest in mathematics and focusing on one long-term, open-ended research problem.  Students also enjoy working collaboratively and exchanging thoughts and ideas with others.  They are interested in strengthening their skills in constructing logical arguments, communicating their thinking in various ways and developing and testing conjectures.  

• The Match Game

• A Game on Graphs

• 𝒕-tone 𝒌-colorings of a Graph

• Positive Triangle Game