Projectivities in Simplicial Complexes and Colorings of Simple Polytopes

Promotion and cyclic sieving via webs

Promotion and Evacuation

Promotion and evacuation on standard Young tableaux of rectangle and staircase shape

Promotion and Rowmotion

Promotion operator on rigged configurations of type A

Proof of a Conjecture of Chan, Robbins, and Yuen

Proof of a conjecture of Hadwiger

Proof of a Conjecture of Helleseth: Maximal Linear Recursive Sequences of Period $2^{2^n}-1$ Never Have Three-Valued Cross-Correlation

Proof of a conjecture of Narayana on dominance refinements of the Smirnov two-sample test

Proof of a Conjecture of Segre and Bartocci on Monomial Hyperovals in Projective Planes

Proof of a Conjecture on the Slit Plane Problem

Proof of a conjecture on unimodality

Proof of a conjectured q,t-Schröder identity

Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten

Proof of a partition identity conjectured by Lassalle

Proof of Andrews' conjecture on a_4φ_3 summation

Proof of Conway's Lost Cosmological Theorem

Proof of Gal's conjecture for the D series of generalized associahedra

Proof of Han's Hook Expansion Conjecture