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Amazing paper. The depth, the creativity, and making it rigorous to connect these ways of counting shapes into solving polynomials, but still also a sense that

Amazing paper. The depth, the creativity, and making it rigorous to connect these ways of counting shapes into solving polynomials, but still also a sense that it's not the final answer, that it's characterizing some fundamental patterns, but it's also a step on the way to more understanding. Really cool. One of the authors also has a YouTube channel: https://www.youtube.com/channel/UCXl0Zbk8_rvjyLwAR-Xh9pQ https://www.youtube.com/channel/UCXl0Zbk8_rvjyLwAR-Xh9pQ Also the same author has a blog, with a post about this paper: https://njwildberger.com/ https://njwildberger.com/ - blog also notes he's about to retire, too! Wow

green_bassel 2y ago
He retired from his teaching position but he still research math and present his findings on his channel. you can find a walkthrough of his article here Paper with Dean Rubine on Solving Polynomial Equations and the Geode (I) | N J Wildberger https://youtu.be/oIHd3zDDDCE?si=kdJnuRB1GYi_mg-5 https://youtu.be/oIHd3zDDDCE?si=kdJnuRB1GYi_mg-5 Subdigons and Solving Polynomial Equations and the Geode (with Dean Rubine) II | N J Wildberger https://youtu.be/Jl0TWMN85G0?si=1IzlrHBBT009lLKq https://youtu.be/Jl0TWMN85G0?si=1IzlrHBBT009lLKq The History behind Hyper-Catalan Series Solutions to Polynomial Equations -- with Dean Rubine https://youtu.be/nvH09WvvERY?si=Df4F9XeD5Yhgw0Xh https://youtu.be/nvH09WvvERY?si=Df4F9XeD5Yhgw0Xh
DeanR 2y ago
Coauthor here-- thanks for the kind words. NJW retired right before he started this project, in Feb 2021. On his WildEgg channel he said he was doing a series where he'd teach amateurs how to do math research, behind the members paywall. For the first problem, he said he'd solve the general polynomial. I thought it was a joke, because everybody 'knows' that we can't go beyond degree four. But no, 41 videos later, he had done it. Two years after that he still hadn't written it up, so I wrote a draft and sent it to him, which evolved into this paper.
- keepamovin 2y ago
  You're welcome. And that's a great story! For me one thing it highlights is how you need to be just as good at marketing your work as you do at doing the work - or, in NJW's case have a good friend who's good at it! :)

green_bassel 2y ago

He retired from his teaching position but he still research math and present his findings on his channel. you can find a walkthrough of his article here Paper with Dean Rubine on Solving Polynomial Equations and the Geode (I) | N J Wildberger https://youtu.be/oIHd3zDDDCE?si=kdJnuRB1GYi_mg-5 https://youtu.be/oIHd3zDDDCE?si=kdJnuRB1GYi_mg-5 Subdigons and Solving Polynomial Equations and the Geode (with Dean Rubine) II | N J Wildberger https://youtu.be/Jl0TWMN85G0?si=1IzlrHBBT009lLKq https://youtu.be/Jl0TWMN85G0?si=1IzlrHBBT009lLKq The History behind Hyper-Catalan Series Solutions to Polynomial Equations -- with Dean Rubine https://youtu.be/nvH09WvvERY?si=Df4F9XeD5Yhgw0Xh https://youtu.be/nvH09WvvERY?si=Df4F9XeD5Yhgw0Xh

DeanR 2y ago

Coauthor here-- thanks for the kind words. NJW retired right before he started this project, in Feb 2021. On his WildEgg channel he said he was doing a series where he'd teach amateurs how to do math research, behind the members paywall. For the first problem, he said he'd solve the general polynomial. I thought it was a joke, because everybody 'knows' that we can't go beyond degree four. But no, 41 videos later, he had done it. Two years after that he still hadn't written it up, so I wrote a draft and sent it to him, which evolved into this paper.

keepamovin 2y ago
You're welcome. And that's a great story! For me one thing it highlights is how you need to be just as good at marketing your work as you do at doing the work - or, in NJW's case have a good friend who's good at it! :)