Emily Yang ’21

The Unsolved Additivity of Knot Crossings

I researched unsolved problems on knot theory and topology at a six-week math camp called Euclid's Lab. Through daily meetings over Google Meet, I worked with four other high schoolers and three graduate students, along with my lead mentor, Dr. Nick Castro. Although we could not crack the century-old questions, it was extremely rewarding to present my findings and hear about fascinating research on new topics such as the Mersenne Prime and Collatz Conjecture. In the end, we collaborated and wrote a 30-page research paper using LaTeX.

Most importantly, I learned the beauty of communicating mathematics at an advanced level by collaborating with my peers and mentors.Emily Yang '21