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Dyck path Triangulation Binary tree Lodha Genius Programme

Cataland

One sequence — 1, 2, 5, 14, 42 — and the hundreds of objects it counts. Daily lectures and workshops.

Grades 11–12Daily 09:00–12:002026Archive Course page → Graduate topics

Combinatorics of Permutations

Permutation statistics and q-analogues on one side, pattern avoidance on the other.

GraduateStatistics & patternsCurrent Course page → ∅ MAT730

Combinatorial Representation Theory (2025)

Representations of the symmetric group, reached through Specht modules, tableaux and symmetric functions.

GraduateMon & FriMonsoon 2025Archive Course page → Open online course

Advanced q-analysis I

Integer partitions through the lens of q-series — Euler, Jacobi, Rogers and Ramanujan, then Bailey and Andrews.

OnlineWed & SunNo certificateArchive Course page → 8 6 4 3 1 6 4 2 1 3 1 1 MAT631

Algebraic Combinatorics (2025)

Tableau combinatorics and symmetric functions, by way of RSK and the hook-length formula.

GraduateTue & WedWinter 2025Archive Course page →