Summer Undergraduate Mathematical Science Research Institute (SUMSRI)
Number Theory Research Seminar

• Home Page: http://www.math.purdue.edu/~egoins/
• Instant Messaging: edraygoins@aol.com
• E-Mail: egoins@math.purdue.edu

• Seminar Notes
• Final Presentation #1: Elliptic Curves: A Survey
  by Samuel Ivy, Brett Jefferson, and Michele Josey
• Final Presentation #2: Four-Covering Maps for Elliptic Curves
  by Cheryl Outing, Cliff Taylor, and Staci White
• Final Paper: 4-Covering Maps on Elliptic Curves with Torsion Subgroup $Z_2 \times Z_8$
  by Samuel Ivy, Brett Jefferson, Michele Josey, Cheryl Outing, Clifford Taylor, and Staci White
• AMS-MAA Joint Meetings Poster Presentation
• Ratpoints: Program Files | Data File
• Notes for Week #4: Research Outline | Focus Questions
• Final Presentation Outline: Group #1 | Group #2

• Seminar Notes
• Notes for Week #4: Instructions for RedHawk | Homework
• Final Presentation #1: Survey of the Mordell-Weil Groups of $y^2 = (1-x^2) \, (1-k^2 \, x^2)$
  by Jessica Flores and Kimberly Jones
• Final Presentation #2: A Statistical Analysis of 2-Selmer Groups for Elliptic Curves with Prescribed Torsion
  by Anne Rollick and James Weigandt
• Final Paper: A Statistical Analysis of 2-Selmer Groups for Elliptic Curves with Torsion Subgroup $Z_2 \times Z_8$
  by Jessica Flores, Kimberly Jones, Anne Rollick, and James Weigandt
• AMS-MAA Joint Meetings Poster Presentation
• Maple Codes: Worksheet | Text | Candidate Curves of Rank 3
• Windows Executable: Histogram Creator
• LaTeX Tutorial

• Seminar Notes
• Final Presentation: Elliptic Curves of Rank 4: Searching for a Needle in a Haystack
  by Terris D. Brooks, Elizabeth A. Fowler, Katherine C. Hastings, Danielle L. Hiance, and Matthew A. Zimmerman
• Final Paper: Elliptic Curves with Torsion Subgroup $Z_2 \times Z_8$: Does a Rank 4 Curve Exist?
  by Terris D. Brooks, Elizabeth A. Fowler, Katherine C. Hastings, Danielle L. Hiance, and Matthew A. Zimmerman
• AMS-MAA Joint Meetings Poster Presentation
• MAGMA Codes: Text
• LaTeX Tutorial

• Seminar Notes
• Final Presentation #1: Elliptic curves and their applications
  by Kathleen P. Ansaldi, Allison R. Ford, and Charles E. Phifer
• Final Presentation #2: Algorithms for finding high ranked elliptic curves
  by Allison R. Ford, Jennifer L. George, and Kevin M. Mugo
• Final Paper: In search of an 8: rank computations on a family of quartic curves
  by Kathleen P. Ansaldi, Allison R. Ford, Jennifer L. George, Kevin M. Mugo, and Charles E. Phifer
• AMS-MAA Joint Meetings Poster Presentation

• Seminar Notes
• Final Presentation: On Rational Points of the Third Degree Thue Equation
  by Jarrod A. Cunningham, Nancy Ho, Karen Lostritto, Jon A. Middleton, and Nikia T. Thomas
• Final Paper: On Large Rational Solutions of Cubic Thue Equations: What Thue Did to Pell
  by Jarrod A. Cunningham, Nancy Ho, Karen Lostritto, Jon A. Middleton, and Nikia T. Thomas
• AMS-MAA Joint Meetings Poster Presentation
• Publication: On Large Rational Solutions of Cubic Thue Equations: What Thue Did to Pell
  Rose Hulman Institute Undergraduate Mathematics Journal, Vol. 7-2 (2006)

• My Favorite Elliptic Curve: A Tale of Two Types of Triangles by Richard Guy
• The Not So Short Introduction to LaTeX 2e by Tobias Oetiker, Hubert Partl, Irene Hyna, and Elisabeth Schlegl
• Rank computations for the congruent number elliptic curves by Nicholas Rogers
• Ranks of elliptic curves by Karl Rubin and Alice Silverberg
• Elliptic Curves by John Stillwell
• List of Mathematical Symbols for LaTeX

• LaTeX for Mac OS X (TeXShop) | LaTeX for Windows (MiKTeX)
• LiDIA Home | LiDIA Download
• Cremona's mwrank Home | mwrank Download for Windows
• MAGMA Help Portal
• SUMSRI Home
• Dujella's Rank Records for E(Q)_tors = Z₂ x Z₈ page

Last updated on July 16, 2008.