Maxim Kontsevich’s Work Algorithms

A 300-case study reconstruction of Kontsevich’s mathematical workflow across intersection theory, moduli spaces, stable maps, Gromov-Witten theory, homological mirror symmetry, A∞ categories, deformation quantization, formality, operads, motives, noncommutative geometry, Donaldson-Thomas invariants, cluster transformations, and wall crossing. Each row is a lecture-style study lens, not a reproduction of the original text.

33 strategies300 study casesMirror symmetry · Formality · DT · MotivesUploaded-template compatible
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Reconstruction method

This page is a bibliographic and methodological reconstruction. It abstracts study moves from official bibliographic records, public papers, and programmatic lectures. Strategy tags overlap; percentages show case prevalence and do not sum to 100%.

4uploaded templates parsed
33Kontsevich strategies
12case families
300study lenses

Template parse

The uploaded pages share a stable pattern: hero, badge metadata, sticky sidebar, strategy cards, prevalence bars, 300-row corpus, source spine, and demonstrations. This page keeps that template and upgrades the content to Kontsevich.

Core thesis

Kontsevich’s method repeatedly converts hard geometry or physics into a controlling algebraic structure: a moduli compactification, a category, a deformation complex, a graph expansion, a motivic invariant, or an automorphism product.

How to use it

Read one family at a time. For each case, ask: what is the object, what controls its deformation, what invariant survives equivalence, and what explicit computation or dictionary makes it usable?

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The Kontsevich strategy engine

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Overlapping prevalence ranking

Bars show how often each strategy appears across the 300 study lenses. Since each case carries multiple tags, this is a method-frequency map rather than a probability distribution.

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Decision tree for reading Kontsevich as method

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300-case corpus

#YearCaseFamilyStudy moveResult typeStrategies
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Source spine as control system

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Worked demonstrations