Turn structural confusion into provable coherence.

Cohomology Systems helps research institutes, think tanks, and advanced organisations resolve deep structural conflicts in their portfolios, KPIs, and operating models — using graph-based optimisation, topological modelling, and AI-native decision intelligence.

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You don’t have a performance problem. You have a structure problem.

Most leadership teams already know:

  • You have smart people.
  • You have plenty of data.
  • You have dashboards, OKRs, and “alignment workshops.”

And yet:

  • Critical projects stall or cannibalise each other.
  • Different units fight over the same capacity and budget.
  • Every year, the same conflicts reappear with new names.

This is not a reporting issue. It is not a motivation issue.
It is a structural issue: the way goals, responsibilities, and constraints are wired together makes coherent execution extremely hard — or mathematically impossible.

Cohomology Systems exists to detect and resolve those structural impossibilities.


Three engines. One outcome: global organisational coherence.

1. Operational Optimisation (OR Engine)

Eliminate obvious overload and waste.

We use advanced operations research to:

  • Optimise staff and lab allocations across your project portfolio.
  • Improve throughput without burning out key people.
  • Surface bottlenecks, idle capacity, and misaligned workloads.

You get clear heatmaps, concrete allocation scenarios, and immediate wins on utilisation and delivery.


2. Structural Coherence (Topological Engine)

Prove where your model is impossible — and how to fix it.

We build a rigorous constraints model of your organisation and apply topological and algebraic tools to:

  • Identify loops of objectives and rules that cannot be satisfied simultaneously.
  • Distinguish fixable inefficiencies from hard structural impossibilities.
  • Design minimal, high-leverage changes to targets, mandates, and interfaces.

You get a board-level “coherence map” that shows exactly where your operating model is structurally self-contradictory, and what to change.


3. Adaptive Intelligence (Graph AI Engine)

Keep coherence as reality shifts.

We deploy graph-based machine learning to:

  • Continuously learn patterns of load, collaboration, and risk.
  • Detect emerging conflicts and incoherent patterns early.
  • Re-rank priorities and allocations as conditions change.

You get a living decision graph that updates as your environment, staffing, and strategy evolve — without rebuilding models from scratch every quarter.


Designed for organisations where complexity is the norm.

We are a specialised partner for institutions where:

  • Research portfolios span dozens to hundreds of active projects.
  • Multiple units share people, labs, and budgets.
  • Strategy, operations, and finance are tightly coupled but often misaligned.
  • Small structural mistakes quietly waste millions over a 3–5 year horizon.

Typical clients:

  • National research institutes
  • Policy research centres and think tanks
  • University research offices and graduate schools
  • Innovation and transformation units in large organisations

Start with a 60-minute structural clarity session.

In one working session with your leadership team, we:

  • Map the 3–5 “chronic” friction points in your current operating model.
  • Show you how they look in our structural framework.
  • Outline what a coherence audit would examine and deliver.

No slide theatre. No generic “best practices.”
Just a direct look at how your organisation is wired — and where that wiring may be forcing unnecessary pain.

Schedule a leadership session Download the service overview

Phone: 1800 123 000
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End-to-End OR Modelling

End-to-end OR modelling for institutes

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Dynamic Graph Prioritization

Dynamic GCN node scoring from your raw data

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Structural Coherence Diagnostics

Sheaf cohomology diagnostics for structural inconsistencies

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Full Explainability

No black-box: every model and recommendation is fully explained