The Cayley Bacharach Theorem through the Ages

Bernadette Boyle, Ph.D.

Sacred Heart University

Algebraic Geometry is an area of mathematics which uses knowledge of both algebra and geometry to study mathematical concepts.  One classic theorem in algebraic geometry is the Cayley Bacharach Theorem which gives us information about the intersection points of simple curves.  In this talk we will learn about this theorem and see how it has developed and been generalized by mathematicians over hundreds of years – there will be plenty of pictures!

Dr. Bernadette Boyle graduated from Providence College in 2007 with a major in Mathematics (and minor in Theology).  She then continued her studies at the University of Notre Dame in South Bend IN.  She graduated with her Ph.D. in Mathematics with a specialty in Commutative Algebra and Algebraic Geometry in 2012.  She is now an Assistant Professor at Sacred Heart University in Fairfield CT.  Outside of math, she enjoys running, sailing, and ultimate frisbee.