Connections Between Algebra Combinatorics and Geometry Commutative algebra combinatorics and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra Combinatorics and Geometry contains lecture notes along with exercises and solutions from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29 June 1 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra which was part of the CMS Summer Meeting at the University of Regina held June 2 3 2012 and the meeting Further Connections Between Algebra and Geometry which was held at the North Dakota State University February 23 2013. This volume highlights three mini courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra secant varieties and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra algebraic geometry combinatorics and the intricacies of their intersection. Preface Differential Graded Commutative Algebra Secant Varieties Fat Points and Symbolic Powers An Introduction to Stanley Reisner Rings Combinatorial Resolutions Geometric Properties of the Tor Algebra Structure for Trivariate Monomial Ideals Interactions Between Linear Algebra and Algebraic Geometry Fat Points Primary Decomposition of Certain Permanental Ideals