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Update 0-introduction.tex
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pitmonticone committed Apr 20, 2024
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Expand Up @@ -2,13 +2,61 @@ \chapter{Introduction}
%\label{chap:intro}
%\addcontentsline{toc}{chapter}{Introduction}

% FORMAL MATHEMATICS RESOURCES

% Projects:
% - https://leanprover-community.github.io/sphere-eversion/
% - https://yaeldillies.github.io/LeanAPAP/
% - https://teorth.github.io/pfr/
% - https://alexkontorovich.github.io/PrimeNumberTheoremAnd/web/
% - https://leanprover-community.github.io/flt-regular/blueprint/

% Theses:
% - https://research.vu.nl/en/publications/formalizing-fundamental-algebraic-number-theory

% Slides:
% - https://florisvandoorn.com/talks/math_in_lean.pdf
% - https://florisvandoorn.com/talks/LeanInternals.pdf

% Books:
% - https://leanprover-community.github.io/mathematics_in_lean/
% - https://leanprover.github.io/logic_and_proof/
% - https://leanprover.github.io/theorem_proving_in_lean4/
% - https://hrmacbeth.github.io/math2001/
% - https://djvelleman.github.io/HTPIwL/
% - https://lean-lang.org/functional_programming_in_lean/
% - https://avigad.github.io/lamr/

% Papers:
% - https://www.imo.universite-paris-saclay.fr/~patrick.massot/files/exposition/why_formalize.pdf
% - https://ceur-ws.org/Vol-3377/natfom3.pdf
% - https://doi.org/10.48550/arXiv.2305.02329
% - https://cmartinez.web.wesleyan.edu/documents/FP.pdf
% - https://doi.org/10.1007/978-3-030-79876-5_37
% - http://dx.doi.org/10.1145/3573105.3575671

% FERMAT'S LAST THEOREM FOR EXPONENT 3

% Books:
% - http://dx.doi.org/10.1007/978-1-4471-2131-2

% Blog posts:
% - https://xenaproject.wordpress.com/2024/01/20/lean-in-2024/
% - https://davidlowryduda.com/flt3-at-lftcm2024/

% CHAPTERS (Tentative)
% – Introduction: Context, Motivation, Basic Definitions?
% – Third Cyclotomic Field & Preliminary Results
% – Fermat’s Last Theorem for Exponent 3: Case 1, Case 2, Conclusion
% – Acknowledgements / Contributions

% TO SUBMIT
% – Authors: Pietro Monticone
% – References: all technical and popular articles and books
% – Citations: everything (FLT3-Regular, FLT, Mathlib, MIL, formalization in general, etc.)
% – Introduction: all relevant links and references, main mathematical results, main mathematical methods, main structures, notation, synthesis on formalisation with main benefits, etc.
% – Motivation: enrich Mathlib, dependency of / used by FLT by Buzzard et al. (Al technical and popular articles)
% – My contributions: about 20 formalized proofs, all informalised proofs, all blueprint, PR to Mathlib (), Porting to Mathlib, see LaTeX comments
% – My contributions: about 20 formalized proofs, all informalised proofs, all blueprint, PR to Mathlib (), Porting to Mathlib, see LaTeX comments, talk, ...
% – Acknowledgements: supervision by Riccardo Brasca (let him see it before submitting), collaboration with my team (see blog post by David)

% TO PUBLISH
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