Jake Lai

hello@jakelai.me | LinkedIn | National University of Singapore

• naivebayes.pdf
  • Presentation on naïve Bayes classification for BA2203 Statistical Modelling.
• ureca.pdf
  • AY2022/23 undergraduate research project titled Compositional Structures in Approximation Theory and Deep Learning.
• dirichletthm.pdf (WIP)
  • Write-up on Dirichlet's theorem on primes in arithmetic progressions based on Stein & Shakarchi, Fourier Analysis.
• diagnostician.pdf
  • A list of questions to help students better understand their mathematical interests.
• gtnfquiz.pdf
  • Biweekly quiz questions and solutions for reading course MH4920 Galois Theory & Number Fields.
• gtnfpres.pdf
  • Presentation slides on the Artin–Schreier theorem and Dirichlet's unit theorem, for reading course MH4920 Galois Theory & Number Fields.
• atishmwk.pdf (Coming soon!)
  • Weekly homework exercises and solutions for reading course MH4921 Algebraic Topology & Introduction to Sheaves.
• atisquiz.pdf (Coming soon!)
  • Weekly quiz questions and solutions for reading course MH4921 Algebraic Topology & Introduction to Sheaves.
• atispres.pdf (WIP)
  • Presentation slides on sheaf cohomology, Serre duality, and the Riemann–Roch theorem for Riemann surfaces, for reading course MH4921 Algebraic Topology & Introduction to Sheaves.
• dglpnotes.pdf
  • Presentation notes for a learning project introducing systolic geometry, proving Loewner's torus inequality against the backdrop of concepts from MH4601 Differential Geometry.
• (Mini-seminars held for friends. E.g., intro to representation theory, intro to Galois theory, intro to algebraic topology, calculus on manifolds. Coming soon!)