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Organizations

@NVIDIAGameWorks@JuliaGraphs@JuliaDynamics@leanprover-community@StatisticalRethinkingJulia@JuliaCommunity@InPhyT@JuliaHealth@DoriaLab@UniTo-SEPI@BayesianDataAnalysisJulia@NeuronalDynamicsJulia@JuliaEpi@JuliaTrustworthyAI@TidierOrg@FormalMathematicsLab

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pitmonticone/README.md

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Current Selected Projects

Libraries & Templates

  • LeanBlueprint: Python library to write blueprints for formalisation projects in the Lean proof assistant.
  • LeanProject: Template for blueprint-driven formalization projects in Lean.
  • Mathlib: Lean library of formalised mathematics.
  • PhysLib: Formalising high energy physics in the Lean 4 proof assistant.

Algebra

  • EquationalTheories: Mapping out and formalising the relations between different equational theories of magmas in the Lean proof assostant.

Analysis

  • BonnAnalysis: Collaborative formalisation seminars in Analysis at the University of Bonn.
  • Carleson: Formalising a generalised Carleson's Theorem in the Lean proof assistant.

Category Theory

  • InfinityCosmos: Formalising the Infinity Cosmos theory in the Lean proof assistant.

Dynamical Systems Theory

  • BET: Formalising Birkhoff's Ergodic Theorem in the Lean proof assistant.
  • TopologicalEntropy: Formalising topological entropy in the Lean proof assistant and integrating it into Mathlib.

Number Theory

  • FLT3: Formalising Fermat's Last Theorem for Exponent 3 in the Lean proof assistant.
  • FLT: Formalising Fermat's Last Theorem in the Lean proof assistant.
  • PFR: Formalising the Polynomial Freiman Ruzsa conjecture and related results in the Lean proof assistant.
  • PNT+: Formalising the Prime Number Theorem and more in the Lean proof assistant.
  • ABC-Exceptions: Formalising the exceptional set in the ABC conjecture in the Lean proof assistant.
  • SpherePacking: Formalising Maryna Viazovska's Fields Medal-winning solution to the sphere packing problem in dimension 8.

Open Problems

  • ErdosProblems: Solving and formalising Erdös problems with Aristotle in the Lean proof assistant.

Talks

2025

2024

2023

Pinned Loading

  1. leanprover-community/mathlib4leanprover-community/mathlib4Public

    The math library of Lean 4

    Lean 3.8k 1.6k

  2. PatrickMassot/leanblueprintPatrickMassot/leanblueprintPublic

    plasTeX plugin to build formalization blueprints.

    Python 366 62

  3. teorth/equational_theoriesteorth/equational_theoriesPublic

    A project to map out the relations between different equational theories of Magmas.

    Lean 546 102

  4. ImperialCollegeLondon/FLTImperialCollegeLondon/FLTPublic

    Ongoing Lean formalisation of the proof of Fermat's Last Theorem

    Lean 963 157

  5. AlexKontorovich/PrimeNumberTheoremAndAlexKontorovich/PrimeNumberTheoremAndPublic

    Blueprint for the PNT+ Project

    Lean 332 110

  6. fpvandoorn/carlesonfpvandoorn/carlesonPublic

    A formalized proof of Carleson's theorem in Lean

    Lean 105 41