13/2 ways of counting curves

2-frieze patterns and the cluster structure of the space of polygons

2-Nilpotent Real Section Conjecture

24 faces of the Borcherds modular form Phi_{12}

3-dimensional sundials

3-fold divisorial extremal neighborhoods over cE7 and cE6 Compound DuVal singularities

3-fold log flips according to V.V.Shokurov

3-fold symmetric products of curves as hyperbolic hypersurfaces in $\Proj^4$

3-nets realizing a group in a projective plane

3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}

3D shape matching and Teichmüller spaces of pointed Riemann surfaces

4-dimensional symplectic contractions

4-Manifolds without Einstein Metrics

5-th order differential equations related to Calabi-Yau differential equations

A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems

A baby step-giant step roadmap algorithm for general algebraic sets

A Babylonian tower theorem for principal bundles over projective spaces

A Barth-Lefschetz theorem for submanifolds of a product of projective spaces

A Barth-Lefschetz theorem for toric varieties

A base point free theorem for log canonical surfaces