Sonja Mapes

Sonja Mapes-Szekelyhidi

Associate Professor of the Practice, Director of Undergraduate Studies

 

Columbia University:

  • Ph.D. in Mathematics, May 2009
  • M.Phil. in Mathematics, February 2006
  • M.A. in Mathematics, May 2004

University of Notre Dame:

  • B.S. in Mathematics, magna cum laude, May 2002

Email: smapes1@nd.edu
Office: 228 Hayes-Healy Bldg
Phone: (574) 631-7586
Fax: (574) 631-6579

Mailing Address:
255 Hurley Bldg
Notre Dame, IN  46556-4618

 

For additional information see Sonja Mapes-Szekelyhidi's Personal Page.

Research Interests

My main research interest is combinatorial commutative algebra with a focus on free resolutions of monomial ideals, and toric ideals. I am also interested in connections to algebraic geometry and tropical geometry.

Selected Publications

  • "Rigid monomial ideals", preprint, arXiv:1102.2243
  • "Finite atomic lattices and resolutions of monomial ideals", preprint, arXiv:1009.1430v1.
  • "Finite atomic lattices and their relationship to resolutions of monomial ideals", Ph.D. Thesis, Columbia University, May 2009.
  • "Constructing almost excellent unique factorization domains" (with John Bryk, Charles Samuels, Grace Wang), Communications in Algebra 2005 33 (5) 1321-1336.

Please direct questions and comments to: smapes1@nd.edu