I am an enthusiastic user of statistics and algebra sofwtare systems, such as R, Macaulay2, 4ti2, PHCpack, ...
Here is some information related to the computational aspect of my research.

RandomMonomialIdeals A Macaulay2 package for computations with random algebraic objects: package overview and source code on GitHub.
Sampling graphs: restricted degeneracy Supplementary Material (R and Python code) for the paper `DERGMs: Degeneracy-restricted exponential random graph models', developed by Denis Bajic, is located on GitHub.
Sampling graphs: shell sequences Supplementary Material (R code) for the paper `Statistical models for cores decomposition of an undirected random graph' is located on GitHub.
Dynamic Markov bases Supplementary Materials webpage for "Goodness-of-fit for log-linear network models: Dynamic Markov bases using hypergraphs".
GraphicalModels A Macaulay2 package for computations with graphical models.
GraphicalModels.m2 is fully documented and has earned a Macaulay2 certification star. Read about the package and its functionality here; or see the published version here (JSAG).
PHCpack A Macaulay2 package that serves as an interface to PHCpack, a software for solving polynomial systems and performing calculations in numerical algebraic geometry.
PHCpack.m2 is fully documented and has earned a Macaulay2 certification star. Read about the package and its functionality here; or see the published version here (JSAG).
(The software PHCpack itself is available here).
FourTiTwo A Macaulay2 interface to 4ti2, with Mike Stillman and Josephine Yu.
FourTiTwo.m2 is a fully documented package.
(The software 4ti2 itself is available here.)
Mixtures in Singular Supplementary Materials webpage for "Identifiability of Two Tree Mixtures for Group-Based Models"

Macaulay2 website, google group, and wiki.
IMA A Macaulay2 workshop at the IMA, Minneapolis.
July 2011.
Co-organized with Anton Leykin.
Colorado A Macaulay2 workshop at Colorado College.
August 2010.
AIM A Macaulay2 workshop.
Oct 26-30 2009.
See the wiki for information on the Algebraic Statistics group.
Snowbird Macaulay2 workshop.
Oct 26-30 2009.
See the wiki for progress reports.