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MSRI-UP 2008 Research Projects

MSRI-UP 2008: Experimental Mathematics

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This page lists the preliminary versions of technical reports written by the students who participated in the 2008 Mathematical Sciences Research Institute Undergraduate Program (MSRI-UP). MSRI-UP is a six-week mathematics undergraduate research program at the Mathematical Sciences Research Institute in Berkeley, California.

The seventeen students who participated in the 2008 MSRI-UP came from Universities in California, Georgia, Louisiana, Massachusetts, New York, Puerto Rico, Texas and Washington. They worked in groups of three or four students on research projects in the area of Experimental Mathematics. Their research was directed by Professor Victor H. Moll from Tulane University. Professor Moll was assisted by Luis A. Medina, a Postdoctoral Fellow at Rutgers University, Erin Beyerstedt, a graduate student at Tulane University, and Candice Price, a graduate student at the University of Iowa.

The 2008 MSRI-UP was funded by grants from the National Security Agency (NSA Grant H98230-08-1-0063), the National Science Foundation (NSF Grant 0754872), a donation from the Gauss Research Foundation in Puerto Rico and the Mathematical Sciences Research Institute (MSRI).

Technical Reports

Structure of p-adic valuations of Stirling numbers

Ana Berrizbeitia, University of Texas, Austin
Allexander Moll, Columbia University
Laine Noble, Tulane University

Landen transformations with cot(3t)

Cindy Enrigue, University of California, Berkeley
Gerard Koffi, University of Massachusetts, Boston
Loraine Torres, University of Puerto Rico, Rio Piedras

Analysis of the dynamics of the Landen transformations using cot(4t)

Richard Garcia, University of Puerto Rico, Rio Piedras
Aileen Nguyen, California State Polytechnic University
Ivan Ojeda, University of Puerto Rico, Rio Piedras
Bobby Wilson, Morehouse College

Exploring a rational Landen transformation of degree eight

Ricela Feliciano, University of Puerto Rico, Mayaguez
Marcos Ortiz, State University of New York, Bufalo
Jason Rosenberg, Tulane University
Kevin Wingfield, Morehouse College 

Numerical integration techniques with rational Landen transformations

Natasha Cayco, California Institute of Technology
Nathan Kallus, University of California, Berkeley
Jessica Stigile, Washington University