ℝolliℵg M∀th Thr∑a∂

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i know there are at least a couple mathematicians in the building. do mathematicians have anything cool to talk about? would be fun to hear about what research ppl are doing, or did in past lives, what courses people are taking or teaching, books we're reading, problems we're stuck on etc

i'm in my last year of undergrad program in pure math right now, currently taking general & alebraic topology (with a total madman who looks like this http://upload.wikimedia.org/wikipedia/commons/thumb/2/25/Daniel_Wise.jpg/220px-Daniel_Wise.jpg), real/functional analysis, and probability. kind of toying with the idea of pursuing grad school. i've taken a couple grad courses so far & they've gone down pretty smoothly, and there are a lot of opportunities to teach math at CEGEP (2 year mandatory pre-university program) and a masters degree is the only requirement. buuuut idk. currently applying for funding to do some research in geometry & topology with a postdoc this upcoming summer. will be spending this weekend trying to understand automorphism groups of covering spaces ^_^

flopson, Friday, 8 November 2013 18:39 (six years ago) link

We could discuss whether there is a satisfying proof for the Nilsson Conjecture.

Aimless, Friday, 8 November 2013 18:43 (six years ago) link

my own contribution: why does well-being look like this?

durianlychee (imago), Friday, 8 November 2013 18:44 (six years ago) link

xp never heard of it!

flopson, Friday, 8 November 2013 18:44 (six years ago) link

viz 1 is the loneliest number

Aimless, Friday, 8 November 2013 18:46 (six years ago) link

oh lol -_-

flopson, Friday, 8 November 2013 18:47 (six years ago) link

exactly

Aimless, Friday, 8 November 2013 18:50 (six years ago) link

i am a dormant mathematician

ciderpress, Friday, 8 November 2013 18:54 (six years ago) link

xp now you have ammunition for chatting up a mathematrix at your next conference

Aimless, Friday, 8 November 2013 18:54 (six years ago) link

i teach math

the late great, Friday, 8 November 2013 20:42 (six years ago) link

cool! how is it?

flopson, Friday, 8 November 2013 20:43 (six years ago) link

high school?

flopson, Friday, 8 November 2013 20:44 (six years ago) link

yes. prealgebra through AP calculus. it never fails to surprise me how much easier it is to teach "hard math" than it is to teach "easy math"

the late great, Friday, 8 November 2013 20:55 (six years ago) link

i'm teaching logic right now, to the least academically prepared students i've ever taught (it's not a huge difference, but it's significant), and that seems to be otm.

the extra complement of math that people generally take to get into a university, even if it stops right at or just before calculus, does seem to make a huge difference in terms of experience, comfort, confidence, mastery of working with forms and symbols.

j., Friday, 8 November 2013 20:58 (six years ago) link

How are we supposed to search for this thread title?

Somebody pointed out recently that the Notices of the AMS are online and free which is great for people like me who are not in academia anymore and don't get a paper copy. Been meaning to read through the article on Beethoven's Metronome: http://www.ams.org/notices/201309/rnoti-p1146.pdf

Also recently bought a copy of Best Writing on Mathematics 2012 which is very nice and pitched at a similar level, the article on Math and Music was very interesting, written by a guy who is both a practicing musician and research mathematician.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:07 (six years ago) link

mathematical dorks should be able to remember 98225

Nilmar (Nilmar Honorato da Silva), Saturday, 9 November 2013 21:08 (six years ago) link

thats an elegant number

Nilmar (Nilmar Honorato da Silva), Saturday, 9 November 2013 21:09 (six years ago) link

Yes!
225 is square of 15. (Which you can remember as fact in itself or as exemplar of (10 + x)^2 = 100 + 20x + x^2.
98 is multiple of 7 and figures in the decimal expansion of 1/7 if you think about it.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:13 (six years ago) link

you are ridic

bored of Canada (Stevie D(eux)), Saturday, 9 November 2013 21:15 (six years ago) link

Let's see if I can do this:
100 = 2 mod 7 so 100^3 = 8 mod 7, 100^3 =10^6 = 1 mod 7 so 7 should repeat with 6 digits
1/7 = 7/49 = 14/98 = .14 * 100/98 = .14 * 1 /(1.0 - 0.02) = .14 * ( 1.0 + .02 + .0004 + ...) = .14285(6+1)..

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:23 (six years ago) link

currently participating in a seminar on homotopy type theory and learning the rudiments of algebraic topology. been spending time with v/a Theory and Applications of Categories reprints.

lollercoaster of rove (s.clover), Saturday, 9 November 2013 21:27 (six years ago) link

Really? Where?

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:28 (six years ago) link

the seminar? at the cuny grad center http://nylogic.org/homotopy-type-theory-reading-group

didn't realize that someone else on the board would have an interest in this!

lollercoaster of rove (s.clover), Saturday, 9 November 2013 21:30 (six years ago) link

Are you enrolled in any kind of graduate program at CUNY or elsewhere? What about the other people in the seminar?

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:34 (six years ago) link

the seminar is open to the public, like lots of cuny things actually. i'd say its only about 30% people with any current relation to NYU, grad students included. v/a former students/phds, as well as just a cross-section of ppl currently just employed but with a math background, as well as maybe students at other campuses.

lollercoaster of rove (s.clover), Saturday, 9 November 2013 21:37 (six years ago) link

we're meeting in the eves biweekly to make it feasible for people who work

lollercoaster of rove (s.clover), Saturday, 9 November 2013 21:37 (six years ago) link

Thanks. By NYU I assume you mean CUNY or CCNY, although there are probably people from NYU there too.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:39 (six years ago) link

Also how long does it go for: two hours,

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 21:41 (six years ago) link

oh yes by nyu i meant cuny. goes about 1.5 hrs and then some people go off to the pub afterwards for however long. there's a google group too https://groups.google.com/forum/#!forum/hott-nyc

whats yr maths background and how does it bring you to HoTT?

lollercoaster of rove (s.clover), Saturday, 9 November 2013 22:12 (six years ago) link

'how did you first know christ?'

j., Saturday, 9 November 2013 22:20 (six years ago) link

pretty much

lollercoaster of rove (s.clover), Saturday, 9 November 2013 22:26 (six years ago) link

constructivism had that flavor

lollercoaster of rove (s.clover), Saturday, 9 November 2013 22:26 (six years ago) link

How are we supposed to search for this thread title?

yeah sorry, had that thought while making the thread but couldnt resist lol. bookmark it, i guess?

s clover we should def homotope it up itt, stoked. what books are you reading? my course is based on munkres (<3) but prof is doing some additional topics, so far i've only looked at hatcher... it's all very intense, though. i slayed point-set but algebraic topo makes me feel v dumb

flopson, Saturday, 9 November 2013 22:31 (six years ago) link

had some halfbaked thoughts while hi the other day about some group theoryish intepretation of (basic) music theory. trying to figure out how to make like, arpeggios/chords subgroups of keys/scales?? i don't know enough group theory tho

flopson, Saturday, 9 November 2013 22:37 (six years ago) link

Don't have much background in this area per se, but have some background in math in general, was on the math team in junior high and then at the Bronx High School of Science, undergrad degree in math at Yale and graduate degree from NYU. First professor I had Freshman year was topologist William S. Massey, at graduate school I took the topology course from Sylvain C, but it was kind of easy and I didn't really learnd too much and most of NYU is about applied math anyway. Actually guy who wrote that music and math paper did a post-doc in topology at NYU, now he is at Lehman College. Sort of curious about this topic but more importantly like the idea that it is free and of being on an equal footing with the other students, other people not currently in academia but presumably mathematically literate - have toyed with idea of going back to finish (start?) thesis and get PhD now that my advisor is the chair but don't really want to deal with have to crank out research-level material, plus I didn't always like the Eloi vs. Morlocks setup of formal grad school, as I recently discussed with former ilxor Casuistry.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 22:45 (six years ago) link

I don't know how much higher math you really use to understand music or music theory, the article I was talking about basically says that he thinks a lot of mathematical research on music is sort of bogus, drawing a picture or creating blinking lights that sort of looks like what music is doing. To him the most interesting thing seemed to be the way the similar processes of collaboration jazz improvisation and mathematical research.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 22:47 (six years ago) link

i teach high school math but im an econ undergraduate and yall are simply adding fuel to the fire that rages inside me that i shd not be teaching math

shiny trippy people holding bandz (m bison), Saturday, 9 November 2013 22:50 (six years ago) link

plus I didn't always like the Eloi vs. Morlocks setup of formal grad school,

what does this mean?

flopson, Saturday, 9 November 2013 22:52 (six years ago) link

xp would u rather be teaching econ? my first major was in econ, then i was like ah fuck it and turned my math minor into a full major

flopson, Saturday, 9 November 2013 22:53 (six years ago) link

The few mathematical ideas I use to think about music are:
*Thinking about the twelve semitones as the Abelian group Z12. (supposed to be a subscript)
*Looking for least common multiples when counting out polyrhythms
*Realizing that the names of the intervals are Ordinal Numbers and
*Realizing that sometimes there are Fencepost Problems in either counting out beats or even in that the octave is the same as the one, which is why some people talk about a heptatonic scale

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 22:55 (six years ago) link

*Thinking about the twelve semitones as the Abelian group Z12. (supposed to be a subscript)

yeah this was basically the extent of my ruminations lol

flopson, Saturday, 9 November 2013 22:56 (six years ago) link

well hey you know

http://en.wikipedia.org/wiki/Set_theory_%28music%29

j., Saturday, 9 November 2013 22:58 (six years ago) link

Fully funded PhD student with good background (perhaps trained abroad) and famous advisor, who can sail through qualifyings, has good chance of helping advisor push out papers and securing post-doc and just generally burnishing his legacy = Eloi
Rest = Morlocks

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 22:58 (six years ago) link

hmm, in the humanities the 'fully funded' part of the distinction doesn't really apply anymore at lots of places, programs looking to trim, improve graduation rates/times etc. figured maybe they should only admit those who they could fund

the other part, though…

j., Saturday, 9 November 2013 23:00 (six years ago) link

Someone told me Hindemith was into group or set theory as it applies to music but I couldn't find a reference. Maybe that Wiki page will have.

Telling you, that Fencepost thing saved me some headaches.

Oh yeah, one more thing
*Thinking about musical entities as partitions- triads as partitioning into three (with the fourth being a "generalized, augmented third*), seventh chords as partitioned into four (with the second between the seventh and the octave as a *generalized, diminished third*)

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 23:02 (six years ago) link

homotopy type theory isn't exactly homotopy theory bear in mind -- its this wild new realization that homotopy theory is precisely isomorphic to that branch of logic known as martin-lof type theory, and this all works only in a constructivist setting. so you have math/logics ppl without much topology background (hi!) and topology people trying to understand type theoretic notation all sort of in the mix together. i have a coworker with some topology so he's good at explaining things like fibrations and fundamental groups etc. oh right and the other part of the hott project is now you have a setting in which the claim is you can do the foundation of _all maths_ as an alternative to set theory, so eventually (tho it may be 6 mos before we get there, if we can keep up the momentum) we'll stop just building up the theory and do applications and use it to do classic results in e.g. actual homotopy theory, set theory, category theory, analysis etc.

lollercoaster of rove (s.clover), Saturday, 9 November 2013 23:07 (six years ago) link

the hatcher book is very approachable but it does sort of require someone with a bit of background to explain what he means by certain things, since the geometrical intuitions aren't totally obvious without someone drawing things or waving their hands or etc. to illustrate movement.

lollercoaster of rove (s.clover), Saturday, 9 November 2013 23:08 (six years ago) link

sounds cool xp

flopson, Saturday, 9 November 2013 23:16 (six years ago) link

xp would u rather be teaching econ? my first major was in econ, then i was like ah fuck it and turned my math minor into a full major

― flopson, Saturday, November 9, 2013 4:53 PM (17 minutes ago) Bookmark Flag Post Permalink

there are many things for which i am better qualified to teach. don't get me wrong, i know the hs curricula v well, i just didnt take much advanced math and sometimes feel like i am training my kids for a sport ive never seen or played before. being the good economist, tho, i know my comparative advantage is in the high-need HS math field rather than the social studies or journalism positions i'd have an absolute advantage in.

shiny trippy people holding bandz (m bison), Saturday, 9 November 2013 23:19 (six years ago) link

Now I remember the problem with math, you have to beef up all this apparatus, before you can really understand or prove anything- except for trivial variations on the proofs in the book with slightly different initial conditions- let alone do a calculation, for what seems like an eternity.

I Wanna Be Blecch (James Redd and the Blecchs), Saturday, 9 November 2013 23:22 (six years ago) link

Really?

Whiney On The Moog (James Redd and the Blecchs), Wednesday, 21 March 2018 01:49 (two years ago) link

Seems like you “just” stick another sin and cos on the end and then “just” do your calculations

Whiney On The Moog (James Redd and the Blecchs), Wednesday, 21 March 2018 01:52 (two years ago) link

four months pass...

So about those octonions

3-Way Tie (For James Last) (James Redd and the Blecchs), Sunday, 29 July 2018 01:17 (two years ago) link

they squirt ink and make you cry

adam the (abanana), Sunday, 29 July 2018 01:36 (two years ago) link

Lol

3-Way Tie (For James Last) (James Redd and the Blecchs), Sunday, 29 July 2018 02:03 (two years ago) link

PY DERE! Have a Jupyter notebook question that I may hit you with in a little bit

3-Way Tie (For James Last) (James Redd and the Blecchs), Monday, 30 July 2018 20:52 (two years ago) link

Okay, been trying to make slides using nbconvert. It ends up creating an html version but no slides.

3-Way Tie (For James Last) (James Redd and the Blecchs), Tuesday, 31 July 2018 13:43 (two years ago) link

Oh, looks like a copy of reveal.js is needed.

3-Way Tie (For James Last) (James Redd and the Blecchs), Tuesday, 31 July 2018 14:54 (two years ago) link

six months pass...

going to be learning random graph theory this spring, maybe some random matrix theory

flopson, Sunday, 24 February 2019 20:51 (one year ago) link

Cool.

Follow-up video to the prior one:
https://www.youtube.com/watch?v=ea7lJkEhytA

Only a Factory URL (James Redd and the Blecchs), Sunday, 24 February 2019 20:56 (one year ago) link

one month passes...

some figures missing from that version??

moose; squirrel (silby), Thursday, 28 March 2019 16:00 (one year ago) link

seven months pass...
two weeks pass...

I am now HS Geometry revisiting.

Irae Louvin (James Redd and the Blecchs), Saturday, 30 November 2019 23:38 (eight months ago) link

take a look at the second volume in felix klein's 'elementary mathematics from a higher standpoint', his course for teachers of school mathematics!

https://www.springer.com/de/book/9783662494400

j., Sunday, 1 December 2019 03:09 (eight months ago) link

really enjoyed relearning HS geom for the GRE

flopson, Sunday, 1 December 2019 06:06 (eight months ago) link

two months pass...

maybe ive just had the quadratics drilled into me very young, but his doesnt seem any more usable or memorable tbh

BSC Joan Baez (darraghmac), Thursday, 6 February 2020 09:11 (six months ago) link

nice

juntos pedemos (Euler), Thursday, 6 February 2020 12:25 (six months ago) link

smdh

it may be less useful for finding roots but it is also more useful for thinking about as a mental exercise, the sort in which considering an alternate solution to an established problem expands and sharpens one's mathematical reasoning skills.

djdirtbagstyle, Thursday, 6 February 2020 12:37 (six months ago) link

this goes quickly from "WHAT IS GOING ON THE WORLD IS BROKEN" to "oh i know this"

https://www.youtube.com/watch?v=HJ_PP5rqLg0

wasdnuos (abanana), Thursday, 6 February 2020 15:40 (six months ago) link

good old Johnny Ball. he used to do this stuff on the tv when i was a kid.

koogs, Friday, 7 February 2020 07:16 (six months ago) link

how does the crossing out the even numbers bit work?

Paperbag raita (ledge), Friday, 7 February 2020 12:15 (six months ago) link

the binary thing is how you'd do multiplication in z80 assembly language where the instruction set only had addition and shifting (shiting right === integer division by 2)

yes, even numbers thing is a bit odd. it will map to the binary representation, but i'm not sure how yet

koogs, Friday, 7 February 2020 12:31 (six months ago) link

ah, odd just means that you have a remainder when dividing by 2

so his 121 = odd, even, even, odd, odd, odd

or, reading from bottom up, 1111001 = 64 + 32 + 16 + 8 + 1 = 121

koogs, Friday, 7 February 2020 12:34 (six months ago) link

(i can imagine trying to explain who johnny ball is to my younger colleagues in terms of being zoe ball's dad, only to then have to explain who zoe ball is)

koogs, Friday, 7 February 2020 12:36 (six months ago) link

I'm fleeing America for the sole reason that we (now they) don't say "maths"

otm into winter (rip van wanko), Saturday, 8 February 2020 04:42 (six months ago) link

good riddance, pervert

j., Saturday, 8 February 2020 04:45 (six months ago) link

The biggest AmE/BrE mystery is why it’s “math” and “sports” vs “maths” and “sport”

Swilling Ambergris, Esq. (silby), Saturday, 8 February 2020 06:41 (six months ago) link

if not for cricket we would be able to make progress on that mystery by looking into sabermetric

j., Saturday, 8 February 2020 06:44 (six months ago) link

in the video, he's solving using only the figures in the right column. what do you do with the left column? i missed it somehow

otm into winter (rip van wanko), Saturday, 8 February 2020 14:31 (six months ago) link

j., idgi?

otm into winter (rip van wanko), Saturday, 8 February 2020 14:31 (six months ago) link

lol i had the same moment rvw

i hope that hes referring to johnny ball

BSC Joan Baez (darraghmac), Saturday, 8 February 2020 14:40 (six months ago) link

frustrating that he uses the same numbers for his second example lol

otm into winter (rip van wanko), Saturday, 8 February 2020 14:42 (six months ago) link

and the left column will invariably resolve to 1... OH it's just used to produce even numbers so you can scratch out the corresponding number on the right, ok

otm into winter (rip van wanko), Saturday, 8 February 2020 14:44 (six months ago) link

two months pass...

RIP, JHC.

Three Hundred Pounds of Almond Joy (James Redd and the Blecchs), Sunday, 12 April 2020 13:17 (four months ago) link

three months pass...

Perhaps I shouldn't post about it, but Euler has a very impressive ancestor in his genealogy.

Time Will Show Leo Weiser (James Redd and the Blecchs), Tuesday, 28 July 2020 18:00 (two weeks ago) link

Do you mean me or my namesake? True in both cases...

Joey Corona (Euler), Tuesday, 28 July 2020 19:29 (two weeks ago) link

Ha, meant you, had almost forgotten about the original’s tutor.

Time Will Show Leo Weiser (James Redd and the Blecchs), Tuesday, 28 July 2020 20:06 (two weeks ago) link

My philosophy advisor's advisor was one of Trotsky's bodyguards!

Joey Corona (Euler), Wednesday, 29 July 2020 13:38 (two weeks ago) link

True in both cases...

Heh, now I'm intrigued.

pomenitul, Wednesday, 29 July 2020 14:02 (two weeks ago) link

On my math side you get to Tarski, Brentano, Copernicus, Regiomontanus, and Oresme.
On my philo side you get the aforementioned Trotsky bodyguard (that's van Heijenoort), Pólya, Hilbert , Weierstrass, Gauss, Lagrange, Euler (!!!), Malebranche, and Leibniz.

I'm my own grandpa

Joey Corona (Euler), Wednesday, 29 July 2020 14:23 (two weeks ago) link

In that case maybe you belong on this thread

Time Will Show Leo Weiser (James Redd and the Blecchs), Wednesday, 29 July 2020 14:45 (two weeks ago) link

Is there a button on the genealogy project to see the trunk of the tree going back? I am blind and did not see.

Time Will Show Leo Weiser (James Redd and the Blecchs), Wednesday, 29 July 2020 14:46 (two weeks ago) link

I don't know. I just follow the links back and back.

Joey Corona (Euler), Wednesday, 29 July 2020 14:47 (two weeks ago) link

I wasn't really cut out to be an academic- I went back to grad school later in life and wasn't really in quite the right subject. Upon reflection many of my cohort of mathletes didn't go on to become research mathematicians - with some notable exceptions of course! My advisor was a nice guy but didn't really push, although he did get most other people through to the PhD but not to any big jobs that I know of. Sometimes I slightly regret I didn't try to work with the one guy whose father won a Nobel Prize or the other guy with an Erdős number of one.

Time Will Show Leo Weiser (James Redd and the Blecchs), Wednesday, 29 July 2020 15:01 (two weeks ago) link

That's how it is for most people. I chose my grad institution knowing that it was really only good in the one area I wanted to study, so it's a good pedigree even if I'd studied, like, number theory it would have been a trash place to be. (Or any other discipline except philo & theology, it's not a very good place to do grad work in general, but it's a wealthy place so it worked out.) The big advantage of my well-established advisors was that they taught me, from my 2nd year on, how to talk to big shots, the senior faculty at other universities that I'd meet at conferences. I.e. networking, still the most important skill I learned aside from first-order "here's how you solve a problem" etc.

Joey Corona (Euler), Wednesday, 29 July 2020 15:06 (two weeks ago) link

ILX - COVID-77

Time Will Show Leo Weiser (James Redd and the Blecchs), Sunday, 2 August 2020 02:29 (one week ago) link


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