Philosophy is written in this grand book the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and to read the alphabet in which it is composed. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures without which it is humanly impossible to understand a single word of it; without these, one wanders about in a dark labyrinth.

— Galileo Galilei

Hello! I am Zhijie Chen.

I am currently a junior undergraduate at the School of Artificial Intelligence, Shanghai Jiao Tong University. I have joined the Machine Vision and Intelligence Group (MVIG), advised by Prof. Cewu Lu (卢策吾) and Prof. Chuan Wen (汶川).

While my major is in artificial intelligence, I am enthusiastic about mathematics and theoretical computer science. I am particularly interested in the underlying structure of things — the rigor of logical reasoning, the ideas behind formal proofs, and the interconnections between theories. This persistent pursuit of clarity and precision often leads me toward abstract thinking and precise formalism, which I find both challenging and rewarding.

About This Website

As noted in the sidebar, this website hosts my thoughts on mathematics, theoretical computer science, and artificial intelligence. I decided to start this blog for two main reasons. The first is to share my knowledge and thoughts with those who may find them helpful. The second is to translate my abstract ideas into tangible outputs, thereby deepening my understanding in the process. Although it is really time-consuming, I consider the effort worthwhile.

As for the construction of this website, I might consider writing a separate post about it. Basically, I use Jekyll Chirpy with GitHub Pages and make several customizations, including changing the font to Charter and designing environments for theorems.

Study Interests and Focus

This section serves as both a self-introduction and a way to hold myself accountable. As you see, there is yet a long way ahead.

• Mathematics
  • Calculus and Real Analysis (finished reviewing)
  • Linear Algebra (finished reviewing)
  • Mathematical Logic
  • Measure Theory
  • Probability Theory
  • Stochastic Processes
  • General Topology
  • Differential Geometry
  • Combinatorics
• Computer Science and Artificial Intelligence
  • Data Structure
  • Algorithms and Complexity
  • Machine Learning
  • Deep Learning
  • Reinforcement Learning

Grades

Core average score: 94.84 (rank: 2/66).
16 major-related courses (out of a total of 19) were completed with scores $\ge$ 95.
Mathematical Analysis I & II (Honors) were both completed with scores of 100.