User:Etmetalakret

I'm James Pagan, that WikiOgre math major at NYU. I use the AoPS Wiki to write notes and lesson plans — my articles benefit my audience as much as myself.

Nontrivial contributions

Below is a list of my nontrivial contributions. Although there are many articles I've tidied up, these are the ones I either created or rewrote entirely. My best articles are in bold to express personal satisfaction.

Algebra

• Algebra/Intermediate
• Polynomials
  • Polynomial Remainder Theorem, INCOMPLETE
  • Complex Conjugate Root Theorem
  • Rational root theorem
  • Vieta's formulas
• Sequences and series
  • Arithmetic sequence
  • Geometric sequence
  • Harmonic sequence
• Inequalities
  • Proofs of AM-GM, rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
  • AM-GM Inequality
  • Cauchy-Schwarz Inequality, very dissatisfied with this.

Combinatorics

• Combinatorics/Introduction
• Counting methods
  • Casework
  • Complementary counting
  • Constructive counting
• Pigeonhole principle, my best article

Geometry

• Geometry/Olympiad
• Synthetic geometry
  • Incenter/excenter lemma, my first article, a total unprofessional mess.
• Trigonometry
  • Trigonometry, might have to tinker with the grammar though
  • Trigonometric identities

Number theory

• Nothing major yet.

Miscellaneous

• 2020 IMO Problems

On the agenda

In May and June, I will overhaul the Intermediate Geometry and Number Theory sections of the AoPS Wiki — two areas that lack decent online resources. I'm eyeing the following articles:

Major Edits Needed

• Centroid
• Incenter
• Circumcenter
• Orthocenter
• Orthic triangle. WOW, this article looks terrible.
• Divisibility
• Euclidean Algorithm. Yall never heard of paragraph breaks??
• Bezout's Identity, which needs problems (also why the abstract algebra?).
• Modular arithmetic
  • Chinese Remainder Theorem
  • Euler's Theorem and Fermat's Little Theorem
  • Wilson's Theorem