Dr. Bernadette Boyle started teaching at Sacred Heart University in 2012 after finishing her Ph.D. at the University of Notre Dame. Her research is in the area of Commutative Algebra and Algebraic Geometry, focusing on objects called Pure O-Sequences which have applications in algebra, geometry, combinatorics and coding. In the classroom, Dr. Boyle loves working with all of her students, exposing them to the beauty of mathematics while enabling them to break down problems and think critically. Dr. Boyle also enjoys giving mathmagic talks to local grade school students, showing them how math can be fun in order to increase their interest and appreciation of the subject. Outside of the classroom, Dr. Boyle enjoys running, sailing, and playing ultimate frisbee. Degrees: Ph.D, University of Notre Dame(2012); M.S., University of Notre Dame(2009); B.A., Providence College(2007). Teaching responsibilities: Precalculus, Calculus I, Calculus II, Calculus III, Statistics. Research interests: Algebraic Geometry and Commutative Algebra.
The Unimodality of Pure O-Sequences of Type Two in Four Variables, Mathematics Faculty Publications (2014)
Since the 1970's, great interest has been taken in the study of pure O-sequences, which,...
The Unimodality of Pure O-Sequences of Type Three in Three Variables, Mathematics Faculty Publications (2011)
We will give a positive answer for the unimodality of the Hilbert functions in the...