Kenneth Cheng · Macau
From pattern formation and nonlinear mechanics to scientific institutions, reliability, and experimental design: reproducible computation, explicit assumptions, and honest limits turn models into testable research questions.
Latest writing
Every research article is manually written from verified private ScienceProject results and supported by approved figures, numerical checks, negative findings, claim boundaries, and references.
A controlled audit of when blur, pixel size, segmentation error, and finite windows make Arctic melt-pond images appear to cross a connectivity threshold that the latent surface did not.
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A mathematical-modeling study of how a quantum repeater should trade speed against decoherence when link generation and entanglement swapping are probabilistic.
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A cellular Potts study tests when differential adhesion produces sorting, engulfment, arrested mixtures, or misleadingly similar end states.
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Research is organized by questions and methods, not only by publication date.
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.
Selected research
Only projects with a clear question, reviewed figures, and visible assumptions and limitations appear here.
A controlled false-threshold audit of melt-pond connectivity under blur, downsampling, segmentation error, finite windows, and morphology shift.
A reproducible synthetic study of memory decay, cutoff scheduling, tail latency, and evidence-aware abstention in a four-link quantum repeater chain.
A reproducible obstacle-PDE study resolves the American put exercise boundary and audits price, Greeks, convergence, and complementarity across three numerical methods.
Teaching
Courses, interactive models, Python laboratories, and mentoring form a path from first assumptions to independent inquiry.
New local teaching resourceMacau School Mathematics Competition ArchiveJunior and Senior Divisions from 2019 to 2025/2026: 214 source-verified solutions, 46 diagrams, and expandable examples.Open the solution archive →Student research milestoneAI4Nature@AVSS 2026 · Paper ID 7A student team I mentored is listed with me as co-author for “From Pixels to Patrols,” scheduled in the workshop's oral programme on 31 August 2026.See the mentoring outcome and official record →