The George Washington University
Department of Mathematics
Washington, DC
SUMMER PROGRAM FOR WOMEN IN MATHEMATICS
June 25- July 31, 2011
PROCEEDINGS
Program Directors:
Professor Murli M. Gupta, The George Washington University
Professor Katharine Gurski, The George Washington University
Professor E. Arthur Robinson, Jr., The George Washington University
Program Faculty:
Professor Angela Gallegos (SPWM 1998), Occidental College, Los Angeles, CA
Professor Alissa Crans, Loyola Marymount University, Los Angeles, CA
Professor Veronika Furst, Fort Lewis College, Durango, CO
Professor Lyn Miller, Slippery Rock University, Slippery Rock, PA
Graduate Teaching Assistants:
Diane Holcomb (SPWM 2007), Univ. of Wisconsin-Madison, WI
Marina Skyers (SPWM 2006), Lehigh University, Bethlehem, PA
Participants:
· Amanda Clemm, Scripps College, Claremont, CA
· Amanda Snedegar, Concord University, Athens, WV
· Amy Baker, Indiana University, Bloomington, IN
· Caitlin Hult, Hamilton College, Clinton, NY
· Cynthia Wu, Gonzaga University, Spokane, WA
· Elizabeth Bolduc, College of the Holy Cross, Worcester, MA
· Erin Compaan, University of North Florida, Jacksonville, FL
· Hyesu Kim, Manhattan College, Riverdale, NY
· Isabel Fulcher, McGill University, Montreal, Canada
· Jennetta George, William Paterson University, Wayne, NJ
· Katherine Sember, Buffalo State College, Buffalo, NY
· Kimberly Kesting, Fairfield University, Fairfield, CT
· Lindsey Scoppetta, Bard College, Annandale-on-Hudson, NY
· Michelle Zajac, Alfred University, Alfred, NY
· Renee Russell, Seattle University, Seattle, WA
· Terika Harris, Jacksonville University, Jacksonville, FL
Program Assistant: Denise Kokinis, GWU
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Course 1: Good Things Come to Those who Wait: An Introduction to Delay Differential Equations
Professor Angela Gallegos (SPWM 1998), Occidental College, Los Angeles, CA (angela@oxy.edu)
TA: Marina Skyers (SPWM 2006), Lehigh University, Bethlehem, PA(marinaskyers@gmail.com)
Three weeks: 3 weeks: June 27- July 15, 2011
Student Presentations
July 15, 2011
Cindy Wu, Hyesu Kim, Michelle Zajac, Amanda Clemm
Leukemia: A Mathematical Model
Katie Sember, Liz Bolduc, Jenna George, Kim Kesting
Respiration: Using Delay Differential Equations to Model Regulation of Ventilation
Terika Harris, Caitlin Hult, Lindsey Scopetta, Amanda Snedegar
Modeling HIV Infection of T- Cells
Renee Russell, Amy Baker, Isabel (Izzie) Fulcher, Erin Compaan
Respiration: Using Delay Differential
Equations to Model Regulation of Ventilation
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Course 2: And Then There Were Four: Normed Division Algebras
Professor Alissa Crans, Loyola Marymount University, Los Angeles, CA (acrans@lmu.edu)
TA: Diane Holcomb (SPWM 2007), University of Wisconsin, Madison (Holcomb.diane@gmail.com)
Two Weeks: June 27- July 8, 2011
Student Presentations
July 8, 2011
Consequences of Rouche’s Theorem
Amy Baker, Jenna George, Amanda Snedegar
Caitlin Hult, Kimberly Kesting, Renee Russell
Lagrange’s Four Square Theorem
Erin Compaan, Cindy Wu
Elizabeth Bolduc, Terika Harris
Amanda Clemm, Lindsey Scopetta, Katie Sember
Hyesu Kim, Isabel (Izzie) Fulcher, and Michelle Zajac
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Course 3: Bases, Frames, and Operators
Professor Veronika Furst, Fort Lewis College, Durango, CO (Furst_V@fortlewis.edu)
TA: Diane Holcomb (SPWM 2007), University of Wisconsin, Madison (Holcomb.diane@gmail.com)
Three Weeks, July 10- July 29, 2011
Student Presentations
July 29, 2011
An Introduction to Signal
Processing
Caitlin Hult, Hyesu Kim, Kimberly Kesting, Renee Russell
Amanda Clemm, Jenneta George, Elizabeth Bolduc, Terika Harris
Cynthia Wu, Erin
Compaan, Lindsey Scopetta, Michelle Zajac
Error
Correcting Codes and Frames with Erasures
Amanda Snedegar, Amy Baker, Isabel (Izzie) Fulcher, Katherine Sember
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Course 4: Introduction to Groebner Bases
Professor Lyn Miller, Slippery Rock University, PA (lyn.miller@sru.edu)
TA: Marina Skyers (SPWM 2006), Lehigh University, Bethlehem, PA (marinaskyers@gmail.com)
Two Weeks, July 18- July 29, 2011
Student Presentations
July 29, 2011
Term Order via Matrices
Lindsey Scopetta, Hyesu Kim, Elizabeth Bolduc
Systems
of Equations
Amanda Snedegar, Katherine Sember, Caitlin Hult, Jenneta George
Arithmetic
of Ideals
Erin Compaan, Terika Harris, Michelle Zajac
Minimal Polynomials of Algebraic Elements
Isabel (Izzie) Fulcher, Amanda Clemm, Renee Russell
Cynthia
Wu, Kimberly Kesting, Amy Baker