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The Purdue Research in Mathematics Experience (PRiME) is a program intended to support and document various research projects by students in mathematics at Purdue. It also exposes students to new resources available to them, such as Rhea, and Sage.
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=PRiME=
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The Purdue Research in Mathematics Experience (PRiME) is a program intended to support and document various research projects by students in mathematics at Purdue. It also exposes students to new resources available to them, such as [[About_Rhea|Rhea]], and Sage.
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*PRiME 2012
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**[http://intranet.math.purdue.edu/news/2012/06/26/advance-prime-speaker-series-women-of-color-in-the-mathematical-sciences/ ADVANCE PRiME Speaker Series]
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**[[2012_Summer_Math_REU_Walther|PRiME with Prof. Walther]]
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*[[Prime2011|PRiME 2011]]
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*[[Prime2010|PRiME 2010]]
  
=Participants=
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==PRiME Resources and relevant links==
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*[[Why_do_I_math_-_Weigandt|"Why do I math?", by Jamie Weigandt]]
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*Could somebody (a student) please write an introduction to latex? It would be a good practice for a student following the tutorial.
  
Anyone affiliated with Purdue willing to document project in mathematics is welcome to participate in PRiME. If you want to be added to the official list of participants below, just add yourself. The emphasis of PRiME is to expose the excitement of doing mathematics.
 
 
* Matt Davis (Purdue 10' Alumnus)
 
* James Ryan (Undergraduate Student)
 
* Jamie Weigandt (Graduate Student)
 
 
= Schedule =
 
 
Monday, July 12, 2010
 
* 7:30 - 9:30 in MSEE 393: PRiME Kickoff with the [http://video.google.com/videoplay?docid=8269328330690408516# Nova Special on Fermat's Last Theorem]
 
 
Wednesday, July 14, 2010
 
* Discussed material from chapter 1 of Stein's Book.
 
 
Thursday, July 15, 2010
 
* Discussed euclidean algorithm
 
* Started sage tutorial
 
 
Friday, July 16, 2010
 
* James Ryan will present the main result which makes the euclidean algorithm work.
 
* Matt, James, and Jamie will begin discussing [http://www.ams.org/notices/200002/fea-mazur.pdf Mazur's notices article about the ABC conjecture].
 
* Start an article about [[ABC triples]]
 
 
Wednesday, July 21, 2010
 
*Continue discussing Mazur's article.
 
*Introduction of the [[Erdos-Woods Problem]]
 
 
=Research Focus Questions=
 
*Is there an algorithm for deciding the Erdos-Woods Problem?
 
*If so, is this algorithm practical?
 
*Can we find *bad* Erdos-Woods examples?
 
*Can we find *really bad* Erdos-Woods examples?
 
*Can you catch the Evil Wizard being REALLY EVIL?
 
* [Jamie] Does every *bad* Erdos-Woods example posses "extra" isogenies?
 
 
==Erdos-Woods "Algorithm"==
 
 
The following are ideas to keep in mind for some type of Erdos-Woods algorithm:
 
 
* SPOILER! The trick is to use elliptic curves. :)
 
* When constructing Frey curves, consider the simplest of $(n,n+1),$ $(n,n+2)$ and $(n+1,n+2).$
 
 
==Acknowledgements==
 
The computers used by the students participating in PRiME-Summer 2010 were acquired through the generous support of Intel.
 
 
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[[Graduate_Studies_in_Mathematics|Back to Math Grad Student Page]]
 
[[Graduate_Studies_in_Mathematics|Back to Math Grad Student Page]]
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[[Category:prime]]
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[[Category:math]]
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[[Category:research]]

Latest revision as of 06:09, 3 July 2012

PRiME

The Purdue Research in Mathematics Experience (PRiME) is a program intended to support and document various research projects by students in mathematics at Purdue. It also exposes students to new resources available to them, such as Rhea, and Sage.


PRiME Resources and relevant links


Back to Math Grad Student Page

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