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= Why do I "math"?  =
 
= Why do I "math"?  =
  
I've come to recognize mathematics as both a game and an art form, much like professional musicians view their craft. Much the way that young musicians are inspired by previously established artists, I have my own mathematical "influences". My advisor, Edray Goins, is certain my greatest influence, but the two of us are both heavily influenced by Barry Mazur, whose enthusiastic approach to mathematics is downright infections. (See [http://video.google.com/videoplay?docid=8269328330690408516# this documentary] about the proof of Fermat's Last Theorem.) In his popular book ''Imagining Numbers: Particularly the Square Root of Minus Fifteen'', Mazur compares mathematicians to bees:
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I've come to recognize lately how much mathematics bear similarity to the music industry. Much in the same way that young musicians are inspired by previously established artists, I have my own mathematical "influences". My advisor, Edray Goins, is certain my greatest among these, but the two of us are both heavily influenced by Barry Mazur.
  
''Our gathering of the honey of the imaginative world is not immediate; it takes work. But though it requires traveling some distance, merging with something not of our species, communicating by dance to our fellow creatures what we've done and where we've been, and, finally, bringing back that single glistening drop, it is an activity we do without contortion. It is who we bees are.''
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Anyone who's met Mazur quickly realizes that his enthusiasm for doing mathematics is downright infectious. (c.f. [http://video.google.com/videoplay?docid=8269328330690408516# this documentary] about the proof of Fermat's Last Theorem.) In his popular book ''Imagining Numbers: Particularly the Square Root of Minus Fifteen'', Mazur compares mathematicians to bees:
  
While I immediately identified with these bees months ago I've found it even more relevant in the past two months. In that time I've traveled from West Lafayette, to Switzerland, to Boston, back to West Lafayette, to Berkeley and finally back to West Lafayette to wrap up what my friends have dubbed MathTour 2010. This certainly seems to constitute ''traveling some distance''.
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"''Our gathering of the honey of the imaginative world is not immediate; it takes work. But though it requires traveling some distance, merging with something not of our species, communicating by dance to our fellow creatures what we've done and where we've been, and, finally, bringing back that single glistening drop, it is an activity we do without contortion. It is who we bees are.''"
  
As for ''merging with something not of our species'', I've recently gotten involved with WIlliam Stein's project Sage, which has been compared by some to the ominous Borg from Star Trek. Reports of my assimilation are... likely accurate.  
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While I immediately identified with this passage when I read it in January, I've found it even more relevant in the past two months. In that time I've traveled from West Lafayette, to Switzerland, to Boston, back to West Lafayette, off to Berkeley and finally back to West Lafayette to wrap up what my friends have dubbed MathTour 2010. Surely this constitutes ''traveling some distance''.  
  
I'm presently communicating to you, my fellow creatures, what I have done and where I have been. Should be be stickler for details, I'm now officially using [http://www.webhamster.com/ dance]. :)
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As for ''merging with something not of our species'', I've recently gotten involved with WIlliam Stein's project, Sage, which has been compared by some to the ominous Borg from Star Trek. Reports of my assimilation are... likely accurate.  
  
Through all of this, I've spoken with several experts about my research, and I've returned to the hive with more than just a drop of honey. I have seen several beautiful ideas and techniques which I'm now ready to explore in much greater detail as I continue my studies in West Lafayette. Surely just as there is hard work behind me, there is hard work ahead of me, but as Mazur says, it is activity that we do without contortion. It is who we bees are.
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I'm presently communicating to you, ''my fellow creatures'', what I have done and where I have been. Should be be stickler for details, I'm now officially using [http://www.webhamster.com/ dance]. :)
  
During the brief time I was in West Lafayette between my stays at Harvard and Berkeley, I discussed with whimsical nomadic lifestyle with a friend. She was somewhat overwhelmed that she'd soon be leaving West Lafayette and traveling around intensely for the foreseeable future. In mild frustration she asked me, "why do we do this?" It was to this question that I gave my aforementioned 3 word response, "because it's awesome!"
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Through all of this, I've spoken with several experts about my research, attended over 40 lectures, and I've returned to the hive with more than just a drop of honey. I have acquired a clearer picture of the mathematical landscape in which I work. I'm now ready to explore in greater breadth and depth than I previously believe possible. Surely this will be quite a challenge. Just as there is hard work behind me, there is hard work ahead of me, but as Mazur says, it is activity that I will do without contortion. It is indeed who I am.
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And that, is why I "math".

Revision as of 17:02, 20 July 2010

I'm Jamie Weigandt, I am graduate student in the department of mathematics specializing in Algorithmic Number Theory, Arithmetic Algebraic Geometry, and Arithmetic Statistics.

Note on this page

For the time being I will use LaTeX code freely when editing this page.

Random Thoughts About Rhea as I use it

  • Can we add LaTeX functionality with jsmath, at least for the pages relevant to mathematicians?
  • Can we add the option to "Open Poor editior in a new window"? The sidebar gets too big when I increase the font size to see in safari.

Musician of Number Theorist

This is game that my friend Beard and I invented. You go about describing someone, and then you ask if they are a musician or a number theorist. SPOILER: the one caveat of the game is that no matter how much the person sounds like a musician, they're always a number theorist. Clearly choosing Daniel Snaith or Noam Elkies is just cheating. :)


The Bigfoot Project

As a motivating project for learning a lot of background material I am engaged in what I consider a mythical quest to find an elliptic curve over $\Bbb Q$ with torsion subgroup $Z_2 \times Z_8$ and Mordell-Weil rank at least 4. Such a curve is affectionally referred to by my friends and I as "The Bigfoot." This nomenclature is somewhat misleading, such a curve, should it exist is not by any stretch of the imagination expected to be unique. I hope to expound on the status of this project at a later date.

For now I will be motivated in my development of this page by 3 facts:

  • My bank account is suffering from conference fatigue.
  • There is an essay contest for which I can win $100.
  • I'd like to stop eating at Taco Bell.

That being said I'll get right to this following section:

Why do I "math"?

I've come to recognize lately how much mathematics bear similarity to the music industry. Much in the same way that young musicians are inspired by previously established artists, I have my own mathematical "influences". My advisor, Edray Goins, is certain my greatest among these, but the two of us are both heavily influenced by Barry Mazur.

Anyone who's met Mazur quickly realizes that his enthusiasm for doing mathematics is downright infectious. (c.f. this documentary about the proof of Fermat's Last Theorem.) In his popular book Imagining Numbers: Particularly the Square Root of Minus Fifteen, Mazur compares mathematicians to bees:

"Our gathering of the honey of the imaginative world is not immediate; it takes work. But though it requires traveling some distance, merging with something not of our species, communicating by dance to our fellow creatures what we've done and where we've been, and, finally, bringing back that single glistening drop, it is an activity we do without contortion. It is who we bees are."

While I immediately identified with this passage when I read it in January, I've found it even more relevant in the past two months. In that time I've traveled from West Lafayette, to Switzerland, to Boston, back to West Lafayette, off to Berkeley and finally back to West Lafayette to wrap up what my friends have dubbed MathTour 2010. Surely this constitutes traveling some distance.

As for merging with something not of our species, I've recently gotten involved with WIlliam Stein's project, Sage, which has been compared by some to the ominous Borg from Star Trek. Reports of my assimilation are... likely accurate.

I'm presently communicating to you, my fellow creatures, what I have done and where I have been. Should be be stickler for details, I'm now officially using dance. :)

Through all of this, I've spoken with several experts about my research, attended over 40 lectures, and I've returned to the hive with more than just a drop of honey. I have acquired a clearer picture of the mathematical landscape in which I work. I'm now ready to explore in greater breadth and depth than I previously believe possible. Surely this will be quite a challenge. Just as there is hard work behind me, there is hard work ahead of me, but as Mazur says, it is activity that I will do without contortion. It is indeed who I am.

And that, is why I "math".

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett