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  1. On the theorem of Gelfand–Mazur. New blog post on Freedom Math Dance

    I discuss several elementary proofs of this theorem that I learned by browsing at the online Bourbaki archives. They are due to Tornheim and Witt.

    freedommathdance.blogspot.com/

    #math #bourbaki #FreedomMathDance

  2. On the theorem of Gelfand–Mazur. New blog post on Freedom Math Dance

    I discuss several elementary proofs of this theorem that I learned by browsing at the online Bourbaki archives. They are due to Tornheim and Witt.

    freedommathdance.blogspot.com/

    #math #bourbaki #FreedomMathDance

  3. On the theorem of Gelfand–Mazur. New blog post on Freedom Math Dance

    I discuss several elementary proofs of this theorem that I learned by browsing at the online Bourbaki archives. They are due to Tornheim and Witt.

    freedommathdance.blogspot.com/

    #math #bourbaki #FreedomMathDance

  4. On the theorem of Gelfand–Mazur. New blog post on Freedom Math Dance

    I discuss several elementary proofs of this theorem that I learned by browsing at the online Bourbaki archives. They are due to Tornheim and Witt.

    freedommathdance.blogspot.com/

    #math #bourbaki #FreedomMathDance

  5. On the theorem of Gelfand–Mazur. New blog post on Freedom Math Dance

    I discuss several elementary proofs of this theorem that I learned by browsing at the online Bourbaki archives. They are due to Tornheim and Witt.

    freedommathdance.blogspot.com/

    #math #bourbaki #FreedomMathDance

  6. Heute vor 155 Jahren - Die abgekämpften und frierenden Reste einer geschlagenen Armee finden Aufnahme und Pflege in der Eidgenossenschaft. #bourbaki

  7. Heute vor 155 Jahren - Die abgekämpften und frierenden Reste einer geschlagenen Armee finden Aufnahme und Pflege in der Eidgenossenschaft. #bourbaki

  8. Heute vor 155 Jahren - Die abgekämpften und frierenden Reste einer geschlagenen Armee finden Aufnahme und Pflege in der Eidgenossenschaft.

  9. Heute vor 155 Jahren - Die abgekämpften und frierenden Reste einer geschlagenen Armee finden Aufnahme und Pflege in der Eidgenossenschaft. #bourbaki

  10. Ah, the *super-secret* cabal of number wizards, Bourbaki! 🤔 Instead of arcane rituals, they spend their days lost in the Google Books labyrinth, probably searching for the mystical "Book of Relevance." 📚🔍 Clearly, covert mathematicians can't escape the allure of aimless internet browsing. 😂
    books.google.com/books/about/B #Bourbaki #InternetBrowsing #NumberWizards #MathematicalHumor #GoogleBooks #HackerNews #ngated

  11. Ah, the *super-secret* cabal of number wizards, Bourbaki! 🤔 Instead of arcane rituals, they spend their days lost in the Google Books labyrinth, probably searching for the mystical "Book of Relevance." 📚🔍 Clearly, covert mathematicians can't escape the allure of aimless internet browsing. 😂
    books.google.com/books/about/B #Bourbaki #InternetBrowsing #NumberWizards #MathematicalHumor #GoogleBooks #HackerNews #ngated

  12. Ah, the *super-secret* cabal of number wizards, Bourbaki! 🤔 Instead of arcane rituals, they spend their days lost in the Google Books labyrinth, probably searching for the mystical "Book of Relevance." 📚🔍 Clearly, covert mathematicians can't escape the allure of aimless internet browsing. 😂
    books.google.com/books/about/B #Bourbaki #InternetBrowsing #NumberWizards #MathematicalHumor #GoogleBooks #HackerNews #ngated

  13. Ah, the *super-secret* cabal of number wizards, Bourbaki! 🤔 Instead of arcane rituals, they spend their days lost in the Google Books labyrinth, probably searching for the mystical "Book of Relevance." 📚🔍 Clearly, covert mathematicians can't escape the allure of aimless internet browsing. 😂
    books.google.com/books/about/B #Bourbaki #InternetBrowsing #NumberWizards #MathematicalHumor #GoogleBooks #HackerNews #ngated

  14. Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.

    Working hard to end up with elegant laziness.

    That's my humble take on how to do maths, as a jobbing quantitative social scientist.

    #mathematics #abstraction #Bourbaki #Grothendieck

  15. Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.

    Working hard to end up with elegant laziness.

    That's my humble take on how to do maths, as a jobbing quantitative social scientist.

    #mathematics #abstraction #Bourbaki #Grothendieck

  16. Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.

    Working hard to end up with elegant laziness.

    That's my humble take on how to do maths, as a jobbing quantitative social scientist.

    #mathematics #abstraction #Bourbaki #Grothendieck

  17. Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.

    Working hard to end up with elegant laziness.

    That's my humble take on how to do maths, as a jobbing quantitative social scientist.

    #mathematics #abstraction #Bourbaki #Grothendieck

  18. Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.

    Working hard to end up with elegant laziness.

    That's my humble take on how to do maths, as a jobbing quantitative social scientist.

    #mathematics #abstraction #Bourbaki #Grothendieck

  19. Exactly 90 years ago, on December 10th 1934, Weil, Delsarte, Cartan, Dieudonne, de Possel and Chevalley got together in 'A Capoulade' for the first (proto) #Bourbaki meeting.

  20. Exactly 90 years ago, on December 10th 1934, Weil, Delsarte, Cartan, Dieudonne, de Possel and Chevalley got together in 'A Capoulade' for the first (proto) #Bourbaki meeting.

  21. Exactly 90 years ago, on December 10th 1934, Weil, Delsarte, Cartan, Dieudonne, de Possel and Chevalley got together in 'A Capoulade' for the first (proto) #Bourbaki meeting.

  22. Exactly 90 years ago, on December 10th 1934, Weil, Delsarte, Cartan, Dieudonne, de Possel and Chevalley got together in 'A Capoulade' for the first (proto) #Bourbaki meeting.

  23. I've been on a longer hiatus from livestreaming than I originally intended, but you can see me give a seminar talk this evening at the The New York City Category Theory Seminar:

    sci.brooklyn.cuny.edu/~noson/S

    I'll be talking about the invariant theory part of my thesis (arxiv.org/abs/2402.18063) at 7PM, New York time. I'll discuss how I found that every (positive) property of finite structures can be checked by counting small* substructures.

    *Terms and conditions may apply. Small is constrained by the logical complexity of a property and may not conform to mundane notions of smallness in bad cases.

    #CategoryTheory #combinatorics #logic #Bourbaki #algebra #AbstractAlgebra

  24. I've been on a longer hiatus from livestreaming than I originally intended, but you can see me give a seminar talk this evening at the The New York City Category Theory Seminar:

    sci.brooklyn.cuny.edu/~noson/S

    I'll be talking about the invariant theory part of my thesis (arxiv.org/abs/2402.18063) at 7PM, New York time. I'll discuss how I found that every (positive) property of finite structures can be checked by counting small* substructures.

    *Terms and conditions may apply. Small is constrained by the logical complexity of a property and may not conform to mundane notions of smallness in bad cases.

    #CategoryTheory #combinatorics #logic #Bourbaki #algebra #AbstractAlgebra

  25. I've been on a longer hiatus from livestreaming than I originally intended, but you can see me give a seminar talk this evening at the The New York City Category Theory Seminar:

    sci.brooklyn.cuny.edu/~noson/S

    I'll be talking about the invariant theory part of my thesis (arxiv.org/abs/2402.18063) at 7PM, New York time. I'll discuss how I found that every (positive) property of finite structures can be checked by counting small* substructures.

    *Terms and conditions may apply. Small is constrained by the logical complexity of a property and may not conform to mundane notions of smallness in bad cases.

    #CategoryTheory #combinatorics #logic #Bourbaki #algebra #AbstractAlgebra

  26. I've been on a longer hiatus from livestreaming than I originally intended, but you can see me give a seminar talk this evening at the The New York City Category Theory Seminar:

    sci.brooklyn.cuny.edu/~noson/S

    I'll be talking about the invariant theory part of my thesis (arxiv.org/abs/2402.18063) at 7PM, New York time. I'll discuss how I found that every (positive) property of finite structures can be checked by counting small* substructures.

    *Terms and conditions may apply. Small is constrained by the logical complexity of a property and may not conform to mundane notions of smallness in bad cases.

    #CategoryTheory #combinatorics #logic #Bourbaki #algebra #AbstractAlgebra

  27. I've been on a longer hiatus from livestreaming than I originally intended, but you can see me give a seminar talk this evening at the The New York City Category Theory Seminar:

    sci.brooklyn.cuny.edu/~noson/S

    I'll be talking about the invariant theory part of my thesis (arxiv.org/abs/2402.18063) at 7PM, New York time. I'll discuss how I found that every (positive) property of finite structures can be checked by counting small* substructures.

    *Terms and conditions may apply. Small is constrained by the logical complexity of a property and may not conform to mundane notions of smallness in bad cases.

    #CategoryTheory #combinatorics #logic #Bourbaki #algebra #AbstractAlgebra

  28. Nicolas #Bourbaki is de bekendste wiskundige die nooit heeft bestaan. In 1939 voerde Bourbaki het symbool ⌀ in voor de verzameling die #NIETS bevat. Mijn stuk voor @nrc_nl
    nrc.nl/nieuws/2024/07/24/wisku

  29. Nicolas #Bourbaki is de bekendste wiskundige die nooit heeft bestaan. In 1939 voerde Bourbaki het symbool ⌀ in voor de verzameling die #NIETS bevat. Mijn stuk voor @nrc_nl
    nrc.nl/nieuws/2024/07/24/wisku

  30. Nicolas #Bourbaki is de bekendste wiskundige die nooit heeft bestaan. In 1939 voerde Bourbaki het symbool ⌀ in voor de verzameling die #NIETS bevat. Mijn stuk voor @nrc_nl
    nrc.nl/nieuws/2024/07/24/wisku

  31. Nicolas #Bourbaki is de bekendste wiskundige die nooit heeft bestaan. In 1939 voerde Bourbaki het symbool ⌀ in voor de verzameling die #NIETS bevat. Mijn stuk voor @nrc_nl
    nrc.nl/nieuws/2024/07/24/wisku

  32. Nicolas #Bourbaki is de bekendste wiskundige die nooit heeft bestaan. In 1939 voerde Bourbaki het symbool ⌀ in voor de verzameling die #NIETS bevat. Mijn stuk voor @nrc_nl
    nrc.nl/nieuws/2024/07/24/wisku

  33. I have a new(ish) preprint on the arXiv! You can find "Invariants of structures" at arxiv.org/abs/2402.18063. This is a somewhat embellished version of one half of my PhD thesis. A talk which I gave about this subject in the fall of 2022 is available at youtube.com/watch?v=5TeGZZ_mep.

    In this new version, I have finally added an explicit description of something I've been telling people for years: My main result shows that any first-order property of finite structures can be computed by counting small substructures. Perhaps surprisingly, this comes as a result of synthesizing a categorical treatment of Bourbaki's notion of mathematical structure with Hilbert's classical result on symmetric polynomials.

    #CategoryTheory #combinatorics #algebra #AbstractAlgebra #logic #Bourbaki

  34. I have a new(ish) preprint on the arXiv! You can find "Invariants of structures" at arxiv.org/abs/2402.18063. This is a somewhat embellished version of one half of my PhD thesis. A talk which I gave about this subject in the fall of 2022 is available at youtube.com/watch?v=5TeGZZ_mep.

    In this new version, I have finally added an explicit description of something I've been telling people for years: My main result shows that any first-order property of finite structures can be computed by counting small substructures. Perhaps surprisingly, this comes as a result of synthesizing a categorical treatment of Bourbaki's notion of mathematical structure with Hilbert's classical result on symmetric polynomials.

    #CategoryTheory #combinatorics #algebra #AbstractAlgebra #logic #Bourbaki

  35. I have a new(ish) preprint on the arXiv! You can find "Invariants of structures" at arxiv.org/abs/2402.18063. This is a somewhat embellished version of one half of my PhD thesis. A talk which I gave about this subject in the fall of 2022 is available at youtube.com/watch?v=5TeGZZ_mep.

    In this new version, I have finally added an explicit description of something I've been telling people for years: My main result shows that any first-order property of finite structures can be computed by counting small substructures. Perhaps surprisingly, this comes as a result of synthesizing a categorical treatment of Bourbaki's notion of mathematical structure with Hilbert's classical result on symmetric polynomials.

    #CategoryTheory #combinatorics #algebra #AbstractAlgebra #logic #Bourbaki

  36. I have a new(ish) preprint on the arXiv! You can find "Invariants of structures" at arxiv.org/abs/2402.18063. This is a somewhat embellished version of one half of my PhD thesis. A talk which I gave about this subject in the fall of 2022 is available at youtube.com/watch?v=5TeGZZ_mep.

    In this new version, I have finally added an explicit description of something I've been telling people for years: My main result shows that any first-order property of finite structures can be computed by counting small substructures. Perhaps surprisingly, this comes as a result of synthesizing a categorical treatment of Bourbaki's notion of mathematical structure with Hilbert's classical result on symmetric polynomials.

    #CategoryTheory #combinatorics #algebra #AbstractAlgebra #logic #Bourbaki

  37. I have a new(ish) preprint on the arXiv! You can find "Invariants of structures" at arxiv.org/abs/2402.18063. This is a somewhat embellished version of one half of my PhD thesis. A talk which I gave about this subject in the fall of 2022 is available at youtube.com/watch?v=5TeGZZ_mep.

    In this new version, I have finally added an explicit description of something I've been telling people for years: My main result shows that any first-order property of finite structures can be computed by counting small substructures. Perhaps surprisingly, this comes as a result of synthesizing a categorical treatment of Bourbaki's notion of mathematical structure with Hilbert's classical result on symmetric polynomials.

    #CategoryTheory #combinatorics #algebra #AbstractAlgebra #logic #Bourbaki

  38. On a related note, I'm heading back home a bit early this year. Apologies to anyone who wanted to stick around late on Saturday to see my talk on the #Bourbaki group. Perhaps I'll make a video at some point, but at the moment I am a little overextended and need to regroup. I hope everyone enjoys the rest of the conference! :)

  39. On a related note, I'm heading back home a bit early this year. Apologies to anyone who wanted to stick around late on Saturday to see my talk on the #Bourbaki group. Perhaps I'll make a video at some point, but at the moment I am a little overextended and need to regroup. I hope everyone enjoys the rest of the conference! :)