Sonia Mapes
Contact Information
Sonja MapesDirector of Undergraduate Studies, Department of Mathematics
228 Hayes Healy
574-631-7586
smapes1@nd.edu
https://www3.nd.edu/~smapes1/
Department/affiliation
MathematicsDegrees
Columbia University:
Ph.D. in Mathematics, May 2009
M.Phil. in Mathematics, February 2006
M.A. in Mathematics, May 2004
Advisor: David Bayer
Thesis title: Finite atomic lattices and their relationship to resolutions of monomial ideals
University of Notre Dame: B.S. in Mathematics, magna cum laude, May 2002
Research interests
My main research interest is combinatorial commutative algebra with a focus on free resolutions of monomial ideals, and toric ideals. More generally, I am interested in computational aspects of commutative algebra and algebraic geometry, and have been active in using and developing Macaulay2. I am also interested in connections to algebraic geometry and tropical geometry.
Bio
I finished my PhD at Columbia University under the direction of David Bayer in 2009. From 2009 until 2011, I was a postdoc at Duke University working with Ezra Miller. My research interests are computational commutative algebra and algebraic geometry. I am originally from Silver Spring, MD and I graduated from the University of Notre Dame in 2002.