4 papers
Stability phenomena in Deligne--Mumford compactifications via Morse theory
Changjie Chen
We study the rational homology of the Deligne--Mumford compactification of the moduli space of stable curves via a family of Morse functions, namely t…
Shortest k-Geodesics on Hyperbolic Surfaces
Changjie Chen
We study the relationship between the lengths of closed geodesics on hyperbolic surfaces and their topological complexity, measured by the self-intersection number. In particular,…
Enhancing Demand-Oriented Regionalization with Agentic AI and Local Heterogeneous Data for Adaptation Planning
Seyedeh Mobina Noorani, Shangde Gao, Changjie Chen +1
Conventional planning units or urban regions, such as census tracts, zip codes, or neighborhoods, often do not capture the specific demands of local communities and lack the flexib…
Index gap of the systole function
Changjie Chen
It is known that the systole function is topologically Morse on the moduli space and the functions are -Morse on the Deligne-Mumford compacti…