你好，我是向柑潾（Ganlin Xiang），一名人民大学准大三的物理学本科生。我喜欢在物理的世界里知晓万物规律，也喜欢探索发现LLM的自我涌现机制，我还喜欢聊聊社会科学，哲学，社会现象。这是我的个人blog，每学期更新我的学习笔记。一起进步！
Hi, I’m Ganlin Xiang, a rising junior studying physics at Renmin University of China. I love learning how the universe works through physics, and I’m equally curious about the mechanisms behind emergent behavior in LLMs. I also enjoy conversations about the social sciences, philosophy, and the patterns we notice in society. This is my personal blog, where I update my study notes every semester. Let’s keep growing together.
A small map of what I keep circling around: matter, models, and the mathematics between them. Tap the labels or empty space.
Research interests are not a list of keywords, but a set of questions still taking shape.
I study the synthesis and characterization of two-dimensional materials, including the growth of transition-metal dichalcogenides such as MoS₂ inside optical fibers using all-liquid-phase precursors.
I explore deep learning, generative AI, and multimodal language models for scientific work, with a current interest in parameter-efficient fine-tuning and the emergence of model capabilities.
Recent entries from my personal knowledge base, organized during the Spring 2026 semester.
从轨道磁矩、Larmor 进动到 Stern–Gerlach 实验，建立角动量量子化的连贯图像。
为什么单态与三重态拥有相反的空间对称性，以及这件事如何决定原子光谱。
把矩阵本征值问题搬到函数空间，理解边界条件、正交性与广义 Fourier 展开。
Derivations, physical intuition, and the “why” that finally clicked.