This page is a code archive (Magma, Maple and Matlab) for projects focused on automorphisms of surfaces. There are links to the relevant paper and code files. The code files or scripts, as I call them, are stored on a Google Drive dedicated to this purpose. Typically, the results of a script are stored as a .log text file or a .pdf.

One dimensional equisymmetric strata in moduli space
Collaborators: Antonio F. Costa and Milagros Izquierdo
Link to paper: https://works.bepress.com/allen_broughton/99/
Purpose of scripts: determine the braid classes of generating quadruples

Scripts and log files : 1Dstrata – containing folder for the scripts and files below

• braidquadclassnew.mgm – Magma package with variable definitions, record structures, and functions for determining braid classes of quadruples
• braidclass1.mgm – braid classes for general groups and a specific G-signature
• braidclass2.mgm – all braid classes and strata for a prime cyclic group
• braidclass3.mgm – all braid classes and strata for a cyclic group
• numstrata.xlsx – table of number of strata for prime cyclic groups
• logfiles – folder for log files for the above scripts
• Nonmax.mgm – determine if a stratum is non-maximal