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UCLA · AI + MATHEMATICS

AnsatzEvery proof begins with an idea.

An AI workspace for mathematical research. Explore an approach, work with proving agents, and examine the evidence behind every result.

Decorative mathematical illustration of a curved surface and connected ideas.
UCLA Samueli Computer ScienceUCLA Samueli Computer ScienceUCLA College Physical Sciences MathematicsUCLA College Physical Sciences Mathematics

THE RESEARCH ATLAS / VOL. 03

14,754 ideas.
Find your next connection.

Explore an informal DAG across algebra, geometry, cohomology, and moduli. Follow real mathematical references, then connect useful research from an eligible model run.
14,754 source-linked nodes · 24 fields · shared research memory
THE MATHEMATICAL LANDSCAPE14,754 NODES ↗
Categories & FoundationsCommutative AlgebraSheaf CohomologySchemesVarieties & CurvesÉtale GeometryAlgebraic StacksModuli TheoryA preview of the landscape. Open the map to explore every node.

01 / THE SYSTEM

Built to show its work.

Ansatz keeps the question, the search process, and the resulting evidence together—so a promising answer is the start of inspection, not the end of it.

01

One proving workspace

Launch different reasoning engines from one console without losing the original problem or run context.

02

Inspect every trace

Move between pipeline and graph views to see where a proof developed, branched, or left a gap.

03

Preserve useful work

Keep proofs, artifacts, memory, skills, and tools attached to the work that produced them.

04

Continue, don’t restart

Add feedback to an existing run and continue from its workspace instead of rebuilding context.

05

Compare approaches

Try multiple engines and models while retaining a common view of progress, output, token use, and cost.

06

Configure your routes

Manage provider access in account settings and choose the model route that fits each run.

02 / WORKFLOW

From question to inspectable result.

  1. 01
    Describe the problem

    Paste a statement or choose an existing problem, then select a model and proving engine.

  2. 02
    Watch the work

    Follow live agent output in a structured pipeline or a free-form dependency map.

  3. 03
    Review the artifact

    Inspect the resulting proof, supporting files, verification output, and unresolved gaps.

03 / START HERE

Take a closer look.

Try the console in a browser-scoped guest session, sign in for durable account history, or read the main concepts first.