I intend to write some things about math, physics and my life, although I hesitate to call this a blog.

• The Gist of Algebraic Geometry

  Contents

  1. Intended Audience
  2. Algebra
  3. Geometry
  4. Algebraic Geometry
  5. Afterword: Irreducible and Reduced
• LLMs as a Search Interface for Mathematics Research

  Contents

  1. Searching for Evidence with Perplexity
  2. An Example
  3. Effective Usage Requires Expertise
  4. Limitations and Room for Improvement
  5. Hallucination Risks and Responsible Usage
  6. Conclusion
• Studying for Undergraduate Mathematics Exams

  Undergraduate mathematics is quite different from high school math, at least here in Canada. Study habits that give good grades in high school don’t translate well to university, especially for mathematics courses.