Introductory Lecture — September 6, 2026, Sunday • PSET Lecture — September 13, 2026, Sunday
Advanced, wrapped, and monster FEs; pathological solutions; domain-specific techniques; analytic methods and structures of R, Z, and R+; non-standard domains.
M2: Pairings and Matchings
Introductory Lecture — September 20, 2026, Sunday • PSET Lecture — September 27, 2026, Sunday
Bipartite graphs; colourings; Hall’s theorem; pairing complex objects; F₂/XOR linear algebra; pairing strategies in games.
M3: Synthetic Geometry A
Introductory Lecture — October 4, 2026, Sunday • PSET Lecture — October 11, 2026, Sunday
Inversion; spiral similarity; linear moving points and linearity; conjuring versus specialisation; ratio lemmas and trigonometric length chases; configuration deep-dives.
M4: Arithmetic Sequences and Polynomials A
Introductory Lecture — October 18, 2026, Sunday • PSET Lecture — October 25, 2026, Sunday
Integer sequences and polynomials; finite differences; divisibility of integer functions; size and analytic methods; irreducibility; reduction mod primes; Hensel lifting.
M5: Real Sequences A
Introductory Lecture — November 1, 2026, Sunday • PSET Lecture — November 8, 2026, Sunday
Analysis, size, asymptotics, and inequalities; chains and quivers; algebraic manipulations and substitutions; geometric interpretations.
M6: Courage A
Introductory Lecture — November 15, 2026, Sunday • PSET Lecture — November 22, 2026, Sunday
Bold structural claims in hard combinatorial problems, supported by induction, invariants, processes, small cases, and rigid intuition.
M7: Projective Geometry A
Introductory Lecture — November 29, 2026, Sunday • PSET Lecture — December 6, 2026, Sunday
Harmonics and cross-ratios; Pascal, Brianchon, and Desargues; homography; classical moving points (MMP); DDIT; conics and hyperbolas.
M8: Constructions in NT A
Introductory Lecture — December 13, 2026, Sunday • PSET Lecture — December 20, 2026, Sunday
CRT; p-adic numbers; Pell equations; descent; basics of elliptic curves; experimenting, restricting solution spaces, and handling apparently absent small cases.
