Math Club hosted its first student lecture of the year, where senior Aarush Vailaya discussed his research on chromatic symmetric functions in math teacher Anu Aiyer’s room on Oct. 3.
Aarush first introduced club members to the concept of “coloring” in algebraic graph theory, which involves assigning different colors to the vertices of a graph. He presented two functions used to color graphs: the chromatic polynomial and the chromatic symmetric function, both of which he researched at the MIT PRIMES program this year.
“I want people to know that math research is totally doable for a high schooler,” Aarush said. “The idea is sometimes we just like exploring these more convoluted, complicated subjects: that’s what the flavor of non-high school math is. Not all math is a problem and a numerical solution.”
After discussing the technical aspects of his research, Aarush urged members to apply to math research programs outside of school and to pursue math research throughout the school year.
“I had no previous knowledge of these math research programs,” attendee Axel Szolusha (10) said. “It seems like a cool niche that’s very interesting. Although it sounds like a big time commitment for me, it’ll be something interesting to look into in the future.”
Math Club plans to continue offering student-led lectures, among other events and activities, to explore niche monthly mathematical topics.
“Each month we’ll have a different theme,” Director of Events Anika Rajaram (11) said. “So our lectures, games, and Problems of the Week are all relevant to the theme. This month our theme is graph theory and I thought Aarush’s unique lecture clearly explained the topic to our members who had not studied graphs before.”
Beyond lectures, Math Club members can also participate in math competitions. Each year, the Harker Math Team places high in nationwide rankings in AreteLabs, emerging as the champions, and also making deep playoff runs in the AreteLabs Math Madness competition.
Officers plan on leading preparation sessions to help students tune their skills before the AMC 10 and 12 on Nov. 6.