To constantly break through himself in the university, Guanzhong Yang embraces the new topics, faces the brand-new challenges, cooperates with ambitious colleagues, and pursues the life-long dreams.
Inspired by a conjecture relating to the lower bound on the chromatic number of a graph proposed by Wocjan and Elphick, Guanzhong Yang did further research to confirm its tightness with the help of matrix analysis, and successfully presented his work at the High School Poster Session of the 2025 International Congress of Basic Science in July 2025.
In January 2026, Guanzhong Yang presented his summary poster relating to the Euclidean Proof of the Infinitude of Primes in Arithmetics Sequences at Imperial College Directed Reading Programme Symposium. By utilizing the Galois group and the ring of algebraic integers, an integer-coefficient polynomial based on cyclotomic units is constructed. Through applying the Chinese Remainder Theorem to derive a contradiction, a Euclidean-style proof for the infinitude of primes in arithmetic progressions is then shown.
In April 2026, Guanzhong Yang and his teammates completed a summary poster on Bayesian inference and modern MCMC sampling, covering both the mathematical ideas and coding implementation behind methods such as Metropolis–Hastings, Hamiltonian Monte Carlo (HMC), and NUTS. As part of the project, they also explored the theory of posterior sampling, built computational visualisations, and implemented practical examples, including a real-world case study related to Bayesian trajectory control for a robotic manipulator.
Since May 2026, Guanzhong Yang has participated in the Statistics and Data Science (General Track) of MITx MicroMasters Programs, where he learned and applied graduate-level knowledge in probability, statistical inference, statistical modeling, and machine learning, covering Bayesian methods, regression, PCA, neural networks, reinforcement learning, time series, and Gaussian processes.
Each paper and conference record acts more than an academic entry. They mark moments where curiosity met rigor, and where solitary inquiry converged into shared insight.