Results 1 to 1 of 1

Thread: Exciting Research Areas...

  1. #1
    TTB is offline
    Junior Member
    Aug 2009
    Hi guys & girls,

    I was wondering if any of you could please help me?

    Now that I am reaching the end of my masters in mathematics I need to start thinking about what I might do a PhD in. I absolutely love analysis! Particularly classical analysis - I could sit differentiating, integrating & looking at infinite series & limits until the cows come home! :-D

    I also have a great fondness for topology. :-)

    I was wondering if anyone could please shed some light on some specific exciting research areas that they think might "light my fire" so to speak? :-D

    Many thanks x

    PS - I'm also really into physics - especially of the theoretical variety. I've done courses on quantum, S & G relativity, and Newtonian, Lagrangian & Hamiltonian mechanics whilst at uni, as well as ones in topology, analysis, complex analysis, elliptic functions, algebraic topology, differential geometry, etc. Are there any research areas that would also incorporate these too? One of my friends said Algebraic Geometry & Morse Theory might be worth looking into...? Some one else said that there are links between algebraic topology & quantum-y stuff....? Another said I wont really encounter any classical analysis unless I do research analytic number theory - is that true?

    Many thanks again - I eagerly await any advice or ideas you may have! :-) x

    PPS - I am also FASCINATED by rigor and logic - I have always been far more interested in the proofs than I have the actual results!

    I've always wanted to really understand how all of maths and physics works.

    But sadly I've been unable to do any logic or set theory courses at my uni as an undergraduate. :-( x

    PPPS - David Hilbert is my biggest source of inspiration - "physics is too hard for physicists!" :-D x
    Last edited by mr fantastic; Aug 22nd 2009 at 05:44 AM. Reason: Merged posts
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Research Help
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 31st 2011, 12:51 AM
  2. Research
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 30th 2011, 03:49 AM
  3. Operations Research
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: Feb 19th 2010, 07:52 AM
  4. Just Research...........
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: Jun 5th 2008, 04:29 AM
  5. Exciting puzzles !!!
    Posted in the Math Challenge Problems Forum
    Replies: 4
    Last Post: Oct 25th 2006, 01:55 PM

Search Tags

/mathhelpforum @mathhelpforum