What does your adviser think you should do? It sounds like you're ready to apply for PhD programs, and once you're in, you'll probably need to do some coursework, and you'll have opportunities to study both math and physics, so I think being in a "sponge-state" at the beginning would be okay.
I agree that you can't really say whether it will benefit you or disadvantage you because it might benefit you in some situations and disadvantage you in others. I agree it might actually be an advantage in getting hired. However, maybe (and only maybe) it might be a bit awkward sometimes...
You might find this website interesting:
http://www.whenwilliusemath.com/
It lists a lot of careers that people have done after studying mathematics, as well as the upper end of salaries available. (I guess they show the upper end to make it more enticing.) Lots of jobs will be an option...
Yes, I've experienced this. I'm living in Europe for my postdoc while my boyfriend is in Australia. I started my postdoc a year and a half ago, and despite some visits, it's been a really lonely time for me.
I'm confident that we'll continue our relationship, and I think it's possible but...
I use Kiva. I like to give to charity, but don't have that much to give, so this is cheaper way. I have about $130 in loans that I re-loan. I'm not entirely sold on the concept but I hope it helps some people.
I also like the website betterplace.org which has the same shopping-type feel...
To be honest, this doesn't really sound like what I think of as math anyway. You're learning how to describe the size of angles. It's part of the language people use to communicate mathematics. It's a barrier that you get through before you can start learning about connections between...
I don't really understand, so perhaps I commented out of context. I never repeated any courses. I always did okay, but there were always people doing better so I never overcame my sense of inferiority.
This strikes a chord for me in a way. But the funny thing is I still have trouble convincing me of its truth (is it true?). Even though I have a PhD in math I still worry that I can't actually be any good at it and I'll never be good at it because I didn't do those math competitions and stuff...
You might be pleased to know that the CSIRO's launched a program to do just that: http://austmaths.wordpress.com/2009/08/15/mathematicians-in-schools/
Or maybe you already knew?
I wish I was actually in physics, rather than mathematics, so I could answer your questions with specific names of Australian physicists who did both their undergraduate and postgraduate degrees in Australia. Unfortunately I am not, but I could think of one off the top of my head - that is...
There's a book called "Complexities: Women in Mathematics" by Bettye Anne Case and Anne M. Leggett that has lots of biographies of women mathematicians. It might be worth having a look at for inspiration. Also, the Association for Women in Mathematics:
http://www.awm-math.org/ has a mentoring...
I agree that it sounds like you're being really hard on yourself. You say you "can't" do a lot of things. But I think maybe when you try you spend the whole time thinking about how you can't do it. Your mind can only think so many things at once, and it sounds like you're focussing all its...
Thanks Morphism for all your advice.
Yes, I've been looking at Weibel's book. I went away for the summer and couldn't take it with me, but now I'm back home so I will try to read it again, and look at the book by Cartan and Eilenberg too, and the Chevalley and Eilenberg paper.
I suppose...
Also, the Max Planck Institute for Gravitational Physics in Germany might be worth looking at: http://www.aei.mpg.de/english/contemporaryIssues/home/index.php