Wujie Shen

collaborators

3 papers

math.CO2026

An exponential improvement for Ramsey lower bounds

Jie Ma, Wujie Shen, Shengjie Xie

We prove a new lower bound on the Ramsey number $r (ℓ, C ℓ)$ for any constant $C > 1$ and sufficiently large $ℓ$ , showing that there exists $ε = ε (C) > 0$ s…

math.GT2025

Closed geodesics on hyperbolic surfaces with few intersections

Wujie Shen

We prove that, if a closed geodesic $I^$ on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of $I^$ has an lower bound $2\log(5+2\sqrt6…

math.GT2025

Nonsimple closed geodesics with given intersection number on hyperbolic surfaces

Wujie Shen

We prove that the minimal length of a closed geodesic with self-intersection number $k$ on any finite-type hyperbolic surface is $2 cosh^{- 1} (1 + 2 k)$ for $k > 1750$ . This improves the…