 Edwin Rogers, Ph.D.
Professor of Mathematics
Roger Bacon Hall 444
(518) 7832392
rogers@siena.edu

Student Research Experiences
At Siena College, students majoring in mathematics have the opportunity to work oneonone with faculty on cuttingedge research. During these research experiences, the student and faculty member set ambitious goals, wrestle with complex ideas, and learn to ask and answer difficult questions.
Our research students...
 Explore new ideas and mathematical objects;
 Look for patterns and use those patterns to predict the behavior of complex systems;
 Wrestle with proving theorems;
 Generalize their work to find new uses for the tools and techniques they have developed;
 Scour the mathematical literature to find recent articles relating to their own work; and
 Communicate their work to other students and faculty either by presenting their work in the Siena Math Colloquium or at a regional or national research conference, or by publishing their work in a mathematics journal.
During a research experience, students learn to communicate complex ideas and manage longterm projects. These skills are highly soughtafter by employers and graduate institutions.
Recent student research projects
 Matthew Farrelly, a 2007 Siena Summer Scholar, worked with Dr. Jon Bannon to analyze the structure of the Burnside group B(3,2) using the software package GAP, which can probe the complicated symmetries of groups. His paper, "The Burnside Group B(3,2) as a TwoRelator Quotient of C3*C3" was published in the RoseHulman Undergraduate Math Journal.
 Ryan Decker, a 2006 Siena Summer Scholar, worked with Dr. Jon Bannon on extending results in classical differential equations that incorporate the doubling operator. Ryan presented this work at the Hudson River Undergraduate Math Conference.
 Andrew Warner, a 2006 Siena Summer Scholar, worked with Dr. Jon Bannon.
 Nicholas Noblett, a 2010 Siena Summer Scholar, worked with Dr. Jon Bannon on a worstcase scenario for sofic onerelator groups, providing a boundary for an open question of Nate Brown from Penn State. The jointly authored paper, "A note on nonresidually solvable hyperlinear onerelator groups" was published in the journal Involve. Nick presented this work at the Hudson River Undergraduate Math Conference and MathFest.
 Lauren Peloso, a 2010 Siena Summer Scholar, worked with Dr. Kris Farwell on traffic optimization.
 Joseph D’Avanzo, a 2010 Siena Summer Scholar, worked with Dr. Nikolai Krylov. The jointly authored paper, " ζ(n) via hyperbolic functions" was published in the journal Involve.
 Lindsay Kulzer, a 2011 Siena Summer Scholar, worked with Dr. Nikolai Krylov. The jointly authored paper, "The Group of Primitive Almost Pythagorean Triples" will appear in the journal Involve. Lindsay presented her work at the Hudson River Undergraduate Math Conference.
 Maureen Jeffery, a 2010 Siena Summer Scholar, worked with Dr. Jon Bannon to study the Coone's Embedding Conjecture, a major open problem in Von Neumann algebras, using noncommutative polynomials. The jointly authored paper, "A note on moments in finite von Neumann algebras" was published in the journal Involve.
 Francesca Romano, a 2011 Siena Summer Scholar, worked with Dr. Jon Bannon to develop methods to study multivariable Euler and Bernoulli numbers. The jointly authored paper, "Explicit formulas for multivariable Euler and Bernoulli numbers", has been submitted to the journal, Integers, for publication. Francesca presented her work at the Union College Mathematics Conference.
What do our research students do after Siena?
 Matthew Farrelly (2008) is an engineer at Knolls Atomic Power Labs and currently finishing a Masters degree in Mechanical Engineering at Union College.
 Ryan Decker (2008) is a systems and network administrator at Siena College.
 Andrew Warner (2008) is finishing his Ph.D. in Mathematics at Rensselear Polytechnic Institute.
 Nicholas Noblett (2010) works for Apple and plans to go back to school for a degree in Human Resources Management.
 Lauren Peloso (2011) is completing a Ph.D. in Mathematics at the University of Colorado Denver.
 Joseph D’Avanzo (2011) is completing an MA in Nanoscale Engineering at SUNY College of Nanoscale Science and Engineering.
 Lindsay Kulzer (2012) is completing a Ph.D. in Computer Science at the University at Albany.
 Maureen Jeffery (2013) is applying for Ph.D. programs in Mathematics.
 Francesca Romano (2014) is making plans to attend graduate school in Mathematics.
