Introductory Lecture — September 5, 2026, Saturday • PSET Lecture — September 12, 2026, Saturday
Introductory techniques and substitutions; domain archetypes; pointwise traps; Cauchy, inequality, divisibility, and non-standard FEs.
M2: Global Methods B
Introductory Lecture — September 19, 2026, Saturday • PSET Lecture — September 26, 2026, Saturday
Double-counting; pigeonhole; expectation and linearity; probabilistic methods; local-global philosophy; distributions, colourings, algebraic methods, and big-picture intuition.
M3: Synthetic Geometry B
Introductory Lecture — October 3, 2026, Saturday • PSET Lecture — October 10, 2026, Saturday
Angle chasing; power of a point and radical axis; spiral similarity; homothety; introductory inversion; constructions; phantom points; conjuring versus specialisation; adding versus removing points.
M4: Exponents in NT B
Introductory Lecture — October 17, 2026, Saturday • PSET Lecture — October 24, 2026, Saturday
LTE; orders; primitive roots; Diophantine applications; p-adic valuations for gcd/lcm and combinatorial analysis; valuations of integer polynomials.
M5: Real Sequences B
Introductory Lecture — October 31, 2026, Saturday • PSET Lecture — November 7, 2026, Saturday
Sums; generating functions; limits and series; induction and bounding; sequence-specific techniques; inequalities and integer bounds; combinatorial analysis of sequences.
M6: Rigid Combinatorics B
Introductory Lecture — November 14, 2026, Saturday • PSET Lecture — November 21, 2026, Saturday
Deterministic processes; invariants; small cases; experimentation; structural intuition and key claims.
M7: Complex Bashing B
Introductory Lecture — November 28, 2026, Saturday • PSET Lecture — December 5, 2026, Saturday
Complex-number geometry; standard formulas and theory; Vieta and similarity tricks; hidden symmetric-polynomial tricks.
M8: Size in NT B
Introductory Lecture — December 12, 2026, Saturday • PSET Lecture — December 19, 2026, Saturday
