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pitmonticone/README.md

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Current Selected Projects

Libraries

  • LeanBlueprint: Python library to write blueprints for formalisation projects in the Lean proof assistant.
  • Mathlib: Lean library of formalised mathematics.

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.

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.

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.

Mathematical Physics

  • HepLean: Formalising high energy physics in the Lean 4 proof assistant.

Talks

2023

2024

Pinned Loading

  1. leanprover-community/mathlib4 leanprover-community/mathlib4 Public

    The math library of Lean 4

    Lean 1.4k 314

  2. PatrickMassot/leanblueprint PatrickMassot/leanblueprint Public

    plasTeX plugin to build formalization blueprints.

    Python 157 25

  3. teorth/equational_theories teorth/equational_theories Public

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

    Lean 112 29

  4. JuliaGraphs/MultilayerGraphs.jl JuliaGraphs/MultilayerGraphs.jl Public

    A Julia package for the creation, manipulation and analysis of the structure, dynamics and functions of multilayer graphs.

    Julia 117 3

  5. JuliaGraphs/Graphs.jl JuliaGraphs/Graphs.jl Public

    An optimized graphs package for the Julia programming language

    Julia 459 91

  6. JuliaDynamics/Agents.jl JuliaDynamics/Agents.jl Public

    Agent-based modeling framework in Julia

    Julia 735 119