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 ^_^

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

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

― durianlychee (imago), Friday, 8 November 2013 18:44 *(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

i teach math

― the late great, Friday, 8 November 2013 20:42 *(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.

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

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

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

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?

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

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

well hey you know

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…

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

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

I am now HS Geometry revisiting.

― Irae Louvin (James Redd and the Blecchs), Saturday, 30 November 2019 23:38 *(ten 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!

really enjoyed relearning HS geom for the GRE

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 *(eight months ago)* link

nice

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

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

how does the crossing out the even numbers bit work?

― Paperbag raita (ledge), Friday, 7 February 2020 12:15 *(eight 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

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

(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)

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 *(eight 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 *(eight months ago)* link

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

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 *(eight months ago)* link

j., idgi?

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

RIP, JHC.

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

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 months ago)* link

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

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

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

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

True in both cases...

Heh, now I'm intrigued.

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 months 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 months 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 months ago)* link

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

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

ILX - COVID-77

― Time Will Show Leo Weiser (James Redd and the Blecchs), Sunday, 2 August 2020 02:29 *(two months ago)* link

Woke up in the middle of the night and thought about R. L. Moore for a second. Ugh.

― Isinglass Ponys (James Redd and the Blecchs), Sunday, 16 August 2020 08:37 *(two months ago)* link

Now thinking about Paul Garabedian, a more pleasant memory.

― Isinglass Ponys (James Redd and the Blecchs), Sunday, 16 August 2020 09:01 *(two months ago)* link

what's wrong with Moore?

I had at least one undergrad prof who'd been a doctoral student of his. He told us a story of how, when Moore taught courses to engineers, he'd bring a loaded gun to class, and told the engineers that if any of them asked a question in class, he'd shoot them.

― Joey Corona (Euler), Sunday, 16 August 2020 11:52 *(two months ago)* link

Heard a similar story from that son of a Nobelist I mentioned. Applied mathematician is hired at UT Austin. Shows up for first semester of work, is greeted by R. L. Moore sitting there with a shotgun his lap. “What are you doing here, son?”

“I came to teach <insert applied math subject here>.”

“Oh no you aren’t.”

― Isinglass Ponys (James Redd and the Blecchs), Sunday, 16 August 2020 14:06 *(two months ago)* link

haha

― Joey Corona (Euler), Sunday, 16 August 2020 14:09 *(two months ago)* link

what's wrong with Moore?I had at least one undergrad prof who'd been a doctoral student of his. He told us a story of how, when Moore taught courses to engineers, he'd bring a loaded gun to class, and told the engineers that if any of them asked a question in class, he'd shoot them.

Posts Whose Second Paragraph Answers The Question Raised In Their First Paragraph

― Guayaquil (eephus!), Sunday, 16 August 2020 15:10 *(two months ago)* link

;)

― Joey Corona (Euler), Sunday, 16 August 2020 15:25 *(two months ago)* link

RFI: best way to express a half open range in a non-or-quasi-mathematical setting.

― Two Little Hit Parades (James Redd and the Blecchs), Monday, 31 August 2020 16:09 *(one month ago)* link

maybe...

integers: "x, x+1 ... y-1"

reals: "from x up to but not including y"

but if "quasi-mathematical" is like programmers or physicists then [x, y) is understood or quickly understandable for both integers and reals, and certainly a <= x < b is fine.

― 𝔠𝔞𝔢𝔨 (caek), Monday, 31 August 2020 16:31 *(one month ago)* link

not exactly what you're looking for but maybe useful

https://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/EWD831.html

― 𝔠𝔞𝔢𝔨 (caek), Monday, 31 August 2020 16:31 *(one month ago)* link

Thanks, already went with your last suggestion.

― Two Little Hit Parades (James Redd and the Blecchs), Monday, 31 August 2020 18:07 *(one month ago)* link

HI DERE!

― Erdős-szám 69 (James Redd and the Blecchs), Saturday, 26 September 2020 22:55 *(four weeks ago)* link

Does anyone read the Cantor’s Paradise section of Medium?

― Here Comes a Slightly Irregular (James Redd and the Blecchs), Saturday, 17 October 2020 12:57 *(one week ago)* link

never heard of it before, but just read this nice post on concentration bounds https://medium.com/cantors-paradise/concentration-of-measure-the-glorious-chernoff-bound-1e96777cc29d

The few things I’ve read have been pretty good so far.

― Here Comes a Slightly Irregular (James Redd and the Blecchs), Sunday, 18 October 2020 01:21 *(six days ago)* link

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