I would like to introduce you to both my math blog and myself. Probably the least interesting between the two, I am Connor Davis, senior at BASIS Scottsdale, guitarist, baseball fan (go Dbacks!), debater, Redditor, aspiring mathematician, lover of puns and silly jokes, and, if nothing else, a man who doesn't know how to end his lists succinctly.
Officially starting in February, this blog will chronicle my math research at ASU with Dr. Julien Paupert in group theory, complex analysis, and my attempts to classify Mobius Transformations by symmetry. Additionally, I will work very closely with the amazing Mrs. Bailey of our very own BASIS Scottsdale in researching various concepts. Specifically, I will spend much time in ASU's libraries, computing examples trying to develop conjectures so I can subsequently try to prove them.
Already, I have been working with Mrs. Bailey for a few weeks, and I have discovered some relevant mathematical properties, for instance, that the Klein-4 group (D4 intersect A4) preserves the cross ratio for 4 element transpositions. Currently, I am trying to determine when, where, and how lines and circles in the complex plane are mapped to lines and circles on the Riemannian Sphere.
A link to my SRP proposal can be found by clicking on that link, but it is also on my side bar.
Finally, I was bored this last week and wrote a sonnet inspired by abstract math. Maybe I shouldn't have chosen math, and should have considered giving Shakespeare a run for his money...
Had I not searched for you like proofs untold,
Weren’t it one-to-one, where you’re for me,
Did you not make me feel like the manifold,
Then I’d be torsor and have no 'dentity.
My love for you is of an indeterminate size
And our love’s fundamental, set of closed loops,
As conjugating in C, you made me realize
That coming together we form abelian group.
I'll follow you always, the if to my then,
And h divide y, we both saw the sine
That's why I’ve for you a ring like Z mod n
Because we go together like Borel and Heine
They say that math’s a hunt for basic truth
QED, that’s why I love you.
They say that math’s a hunt for basic truth
QED, that’s why I love you.
See you in February,
Connor
I think it's great that you're attempting something that hasn't yet been proved. Good luck! (And I like the sonnet. Pictures are great too. I find abstract concepts difficult to understand.)
ReplyDeleteThat sonnet was beautiful. Looking forward to the rest of your posts. (And perhaps more poetry? :) )
ReplyDeleteI hope this project isn't closed in Euclidean space, because this project is very open and has unbounded potential! Bad math jokes aside, this project looks very intriguing, and I'd love to see some of your proofs as the weeks go on!
ReplyDeleteThis post was both informative and entertaining! Can't wait to see where this project goes. Before you go into your own research, I think it would also be useful to have a post explaining some of the background/history of the project you're working on.
ReplyDeleteThanks Navya, you're probably right. Check out my latest post.
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ReplyDeleteSounds like a great project.
ReplyDeleteIf you want to combine love poetry and math check out this link: http://www.neatorama.com/2006/08/10/finite-simple-group-of-order-two-a-mathematical-love-song-by-the-klein-four-group/
ReplyDeleteYou should major in math and minor in poetry.
ReplyDeleteSee you next Thursday!
I can't wait to start reading those Indra Pearls.
You should major in math and minor in poetry.
ReplyDeleteSee you next Thursday!
I can't wait to start reading those Indra Pearls.