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November 9th, 2009
southwest
 | 05:23 pm
Рекламируются постдокторовские позиции в Техасе с зарплатой 70 штук плюс 7 штук на научные расходы. Позиции именные, в честь бывшего математика, а ныне капиталистического кровопийцы Джима Саймонса. Преподавательская нагрузка: один класс в год.
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November 8th, 2009
forvrkate
 | 09:30 pm
WORK IN PROGRESS
I have found a job to apply for! This is exciting since I've read tons and tons of job postings and haven't felt like they're worth applying to.
The job is located in California. It's in the Los Angeles region which is quite a bit closer to my good pals living in San Diego than where we are right now!
Anyone have any good cover letter writing tips?
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mathematics
[forvrkate]
| 08:17 pm - Seeking Reference Material
Hi everyone,
I am seeking any reference material that eventually explains Hopf algebras. Really, I'd take anything that does a good job at explaining related topics starting with the definition of a module. I need something designed for a non-specialist.
Thanks in advance.
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November 7th, 2009
mathematics
[llyrfish]
 | 09:39 pm - Manifolds question-zilla!
All right, so normally I wouldn't be posting like three questions at the same time, but I had swine flu this week (make sure you get the vaccine if you haven't already, because I promise you don't want the swine flu, it sucks) and couldn't go to class or meet with people. So with no further ado:
1) We're supposed to show that a simple Lie group is linear. In the hint sheet the professor gave us, he says, let C_g be the map that is conjugation by g, and let Ad(g) = T_1 C_g, the differential of this map. (I think this is called the adjoint representation or something.) I have no idea where this hint is going, and I don't see anything extra special about simple Lie groups that helps us buy this result, except perhaps that they are connected (because the identity component of a Lie group is a normal subgroup).
2) Next thing I'd like to show is that the differential of the inversion map (call it inv) is negative the identity. The hint sheet says to use the fact that exp is a homomorphism from lines through the origin in the Lie algebra to the Lie group. Certainly it's the case that exp(-v) = inv(exp(v)), and I think this is probably what we want, but I don't know how to get T_1 inv in there.
3) Last one for now I promise. Why would the differential of the determinant be trace?
Thanks for your help. I'm going to go hang my head in manifolds-induced shame now.
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devilfish
 | 02:48 pm - Science Writing Finalist Will Now Angst About Competition
The finalists of the Scientific Blogging Competition were announced last Sunday. I was delighted to find my essay among them:
Autumn has arrived, bringing firework foliage, delicious squash, and, at least in the Pacific Northwest, an invasion of squid.
Humboldt or jumbo squid, sometimes mistakenly called giant squid, are grabbing fishing lures and washing up on beaches from Oregon to British Columbia. As a marine biologist fielding questions from reporters and citizens, my heart always sinks when I hear the inevitable query--delivered with a mixture of horror and fascination--"They eat people, right?" . . .
Yay! Honor and delight! Now, how are they going to select grand, second, and third prize winners from these thirty finalists? Public online voting.
Read my rambling thoughts about that . . .
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rizwank
 | 01:39 am - Welcome to Second Order Effect.
This is the third blog of Rizwan Kassim.
I had an incredibly well crafted message for here that was lost somewhere between my most recent drive, and getting Wordpress installed
The name for the blog – I’ve spent a lot of my life learning from the person I am and adjusting towards the person I’d like to be. Now, as I try to strip out the coping mechanisms and all the various things that we learn to do from childhood, I feel that I’m reaching the second order effects – the less than obvious consequences of various personal characteristics. So, it’s time to spend some effort on those.
I like noticing patterns and systems. I see a few data points and I want to make a rule to explain them. I’m happy to be wrong, but my mind naturally wants to see order. A lot of my writings are ideas or suppositions and a source of personal reflection, rather than serious, considered, complete works.
Other things likely to be included – random tech snippets, notes on creativity and personal goals, finances, code snippets, bits on my travel and photography, and pretty much anything else. I’ve got a personal blog (f-locked) for certain sorts of posts, and the rest are to be crossposted between the two.
Thanks to @colleenky for pointing me to On Doing Creative Work, by Merlin Mann, which reminded me that starting this blog was drastically more important that finding the exact right UI or skin for it.
Mirrored from The Second Order Effect.
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November 6th, 2009
mathematics
[sans_galois]
 | 02:51 pm - math gre
I'm re-taking the Math GRE tomorrow morning (ugh), and I want to take a couple peppermints. Does anyone know if small things such as this are permitted? I can't seem to find an answer to this specific question...
Edit: Well, I definitely did better this time, that much is for sure. I still don't really understand why graduate schools care if I can do 3 hours worth of hero-level integration, though....
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wiloeleigh
 | 08:04 am - there aren't enough days in the weekend
1) which one is more irritating--being too hot or being too cold?
being too hot is much more irritating. you can always add clothes if it is too cold; it is much harder to subtract clothes when you are already down to a tanktop and skirt and still need to be out in public.
2) were you born in the winter or the summer?
what about spring and fall? they're feeling neglected. i was born in late fall.
3) what are your favourite foods to eat when you need to warm up and cool down?
to warm up, soups and casseroles. chili and mac'n'cheese. anything that cooks on the stove or in the oven for a long time, which warms the house up. to cool down, popsicles and cold pasta salads. fruit and cheese with a glass of wine. lighter foods that don't require much cooking time, or no cooking time at all.
4) which one are you more likely to suffer from--hayfever or flu--and does it run in your family?
much more likely to have the flu or a cold. i don't know if it runs in the family.
5) you are granted a day of perfect weather whenever you like. what day do you place it on and why?
christmas day, and it already happened a few years back. i was down in southern california for the holiday, and the weather that day was sunny and clear, with warm, dry breezes, big blue sky wisped with clouds. there was something really lovely about being able to take a morning walk around the decorated neighborhood in the bright sun. i only needed a t-shirt, jeans, and my flip-flops. the boy thought the weather was just weird. you may call me a blasphemer, but that was the perfect weather for christmas.
Current Mood: ![[mood icon]](http://l-stat.livejournal.com/img/mood/neko/kaokitty/cheerful.gif) friday!
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November 4th, 2009
wiloeleigh
 | 03:24 pm
carl sandburg: ( offering and rebuff )
Current Mood: ![[mood icon]](http://l-stat.livejournal.com/img/mood/neko/kaokitty/blah.gif) comme ci, comme ça
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southwest
 | 10:14 am
"Homeowners should be walking away from their mortgages in droves!" - says a Law Professor.
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jojobear99
 | 08:13 am
Well, I think we've nailed down (at least in the tentative sense) our wedding and reception venues which means we have a tentative date, looks like January 17 may end up being the big day :)
Its amazing sometimes to start thinking about all the costs that go into a wedding, even if you try and go on the cheaper side. There was at least two reception venues, like wineries, we talked to that start at about $10,000 for a reception. (No we didn't go with either of those). But even if you find an "inexpensive" venue, catering alone could break the bank. The wineries price list had $40/plate dinners they catered. Say you went with something significantly less expensive and had $10/person catering--if you have a 200 person wedding, that's already $2000, just for the food. When you start adding up all the different little things you'll need for the wedding and reception, wow, those numbers can start to grow fast.
I'm happy with the venue choices we were able to work out, VCC for the ceremony (my home church in Pleasanton) would have been one of my top choices. And being a winter wedding, we'll absolutely need an indoor reception venue because if you don't have an indoor venue, Murphy's law says it will be pouring rain that day. Paul and my mom drove around and looked at a bunch of venues over the weekend. Our top choice was the Pleasanton Senior Center. On the one hand that sounds kind of funny place to have events for non-seniors, but apparently they have a large banquet hall they rent out for events, and it's a beautiful site, and there's some gorgeous gardens outside that might make for some lovely photo opportunities, and compared to other local venues, fairly reasonably priced too... luckily it happened that one of the dates available at the church was available for the senior center too. At first we were slightly concerned about whether it would be an issue that on Sundays the senior center requires you to be out completely by 9, but the church has services all morning on Sunday, so it took a little thinking to figure out whether the timing would be too tight or not, but since it sounds like we can start setting up pretty much as soon as everyone's out of the sanctuary after second service, I think it'll work out fine.
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forvrkate
| 08:42 am
HAPPY BIRTHDAY
Sesame Street turns 40 today.
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November 3rd, 2009
forvrkate
| 01:07 pm
ANNOYING HABIT
I am currently typing up lecture notes for my prison class. We are covering topics related to geometry and right now I am writing about the Golden Ratio.
The problem is that I type "Gödel” far, far more often than I type “Golden.” This means I keep having to change a “Gödeln Ratio” to a “Golden Ratio.”
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southwest
 | 03:46 am
Чем питаемся в 2 часа ночи :)
( Крайние рёбрышки (short ribs) + 4 )
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mathematics
[dhilbert83]
 | 12:17 am - Places to look for postdoc jobs
Ok, so I'm pretty much finished with my PhD and have started to look for postdoc positions. So far I've looked at mathjobs.org and EIMS and will contact people in my field (harmonic analysis and operator theory) and ask them to inform me if any kind of postdoc jobs open up (this is for the departments that aren't advertising an open postdoc position, though I'll directly email people of interest who are in departments that are advertising, just to inform them that I'm applying.)
So the question is, where else should I look for postdoc jobs (or really just academic jobs in general) to apply to?
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November 2nd, 2009
southwest
 | 07:36 pm - Mrs. Logic
Ayn Rand never got into an argument she couldn’t win. She was proud, grouchy, vindictive, insulting, dismissive, and rash. (One former associate called her “the Evel Knievel of leaping to conclusions.”) But she was also idealistic, yearning, candid, worshipful, precise, and improbably charming. ... a real woman starring in her own propaganda film about a propagandist whose propaganda eventually takes over the world. [ link ]
I should probably read that book.
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mathematics
[chamcha]
 | 12:33 pm - Lp norms
I've seen the result all over the place, but no proof: The Lp-norm of a function f approaches the L-infty norm of f as p approaches infinity. Any illuminating clues?
EDIT: We assume f is in L^p and L^infty, so that it's in L^q for all q > p.
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November 1st, 2009
mathematics
[sans_galois]
| 10:44 pm - more analysis....
Two question:
1. Let B(H,K) denote the space of bounded linear operators H --> K. Show B(H,K) is complete under the operator norm ||T|| = sup{ ||Th|| : h in H and ||h||≤1 }.
I seem to really struggle with this operator norm guy. Obviously I want to start with a Cauchy sequence of operators and show that it converges to some operator in the space.... But I'm just not clear on how to do all that
2. Let g be in L^1(R). The operator L: L^2(R) --> L^2(R) defined by Lf(x) = ∫ g(x-y)f(y)dy is a bounded linear operator.
My initial thought is to try to realize g(x-y) as the kernel of some integral operator, but I'm not sure how to go about doing that exactly.
Any thoughts?
Thanks
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October 31st, 2009
mathematics
[wappcaplet]
| 12:54 pm - Safety Schools?
Hi folks. Long time lurker here, and today I have a question. What sort of graduate schools would fit as "safety schools" for me when applying to graduate school?
I'm currently an undergraduate in a school usually ranked in the top 25 so far as math departments go. I have an overall GPA over the last couple of years of 3.88 and a math GPA of 3.96. I haven't gotten my subject GRE scores back, but if I remember right I answered 55 questions on it and only remember feeling shaky about one of them, so my score will probably be somewhere around 800.
I've taken undergraduate courses in Advanced Calculus, Real Analysis, and Topology/Differential Geometry, I've taken a graduate course in Modern Algebra, and I'm currently taking graduate courses in Complex Analysis, Real Analysis, and Manifolds. I've made the Annual Deans List before and been given a "top junior in math" award. During the summer I participated in an REU program. Right now, I'm working as a TA. And I have my three recommendations lined up from good faculty.
The biggest deficiencies in my record are that I started out originally in community college, so my time at my current school will come to three years, and I have no time right now so I don't see a senior thesis on the horizon.
Maybe I'm being dense, but I don't feel comfortable judging which Ph.D. programs would be close to a sure thing when applying. University of North Carolina at Chapel Hill? Or Clemson University? What do you think?
Thanks in advance!
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October 30th, 2009
mathematics
[sans_galois]
| 07:45 pm - image of a compact operator...
Two posts in one day, sorry.
Is the image of a compact linear operator (say, from H to K) necessarily open or closed?
My instinct is that neither of these is necessarily true, but I'm having a tough time thinking of any counterexamples...
Any hints?
Thanks
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