Since college, Guanzhong Yang has successfully demonstrated his talents in mathematics, and his passion for sharing mathematical beauties with others.
In February 2020, as the founder of PCT voluntary online lectures, Guanzhong Yang established the largest student-initiated academic sharing platform at the college. So far, he has collaborated with seven like-minded peers and produced over 80 videos, accompanied by 400-page handouts with exercises covering 10 subjects, which have accumulated over 14,000 views on Bilibili.
In October 2023, inspired by Noga Alon’s “algebraic technique” when solving additional number theory conjectures, Guanzhong used the Vandermonde determinant to transform invariants, providing a new way to prove the Erdős-Heilbornn Conjecture. Later, he was awarded the national second prize in S.-T. Yau High School Science Award, which is the first time in the history of his high school. The right-hand side picture records his dissertation.
Guanzhong participated in the 2024 International Congress of Basic Science. He was exposed to multidisciplinary research: learning quantum gravity through the concept of limit from Cumrun Vafa. He viewed different fields together: connecting number theory and elliptic curve from Shouwu Zhang.
At the 2024 International Congress of Basic Science, Guanzhong discussed dimensions of the universe before the Big Bang with Hirosi Ooguri, who later sent his book with his signature as a gift.
In December 2024, Guanzhong, as student representative, discussed with Po-Shen Loh, coach of the United States National Mathematical Olympiad Team, about math teaching. Guanzhong Yang was showing his journals and textbooks to professors at that time.
In February 2025, Guanzhong was invited as a peer assistant in a 5-day winter camp held by his college. Aiming for Y9 students, he explained arithmetic and geometric sequences with typical examples and funny historical stories, and also helped them to better interact with other foreign teachers, receiving great feedback from both students and teachers.
Since April 2025, Guanzhong Yang has been selected as the student ambassador of his college. During the JNFLS information sessions, he introduced the college and education system, led a guided tour at the college, and answered questions from students and parents promptly.
In May 2025, Guanzhong was invited by his primary school to share his experiences and learning skills with junior students. Guanzhong held a speech to all the Y5 students. During the speech, he divided the learning process into several parts: planning, previewing, absorbing, reviewing, and broadening the horizon. By showing his detailed and precise handwriting notes to juniors, Guanzhong also instructed all the Y5 students on how to work deeply and effectively.
As the student ambassador of his college, Guanzhong Yang has organised and participated in two public presentations, two public panels, and one online conference for potential applicants and their parents. His informative presentations and personalised suggestions relating to college life successfully inspired many potential students and their parents, and he also received plenty of positive feedback during this process.
In June 2025, Guanzhong graduated from high school. During the university application, he received unconditional offers from Imperial College London, the University of California, Los Angeles, the University of Hong Kong, and the University College London. Although some regret existed, as he was rejected after being pooled by Cambridge and the University of California, Berkeley, he still believes that he has greater potential that has not been discovered by others.
May the winds of freedom carry you through the landscapes of numbers, where mathematics becomes a journey, not a boundary, and where connections spark the greatest discoveries.