Goel, KritiKritiGoelMukundan, VivekVivekMukundanRoy, SudeshnaSudeshnaRoyVerma, J. K.J. K.Verma2025-08-312025-08-312025-01-01[9781470472153]10.1090/conm/811/162402-s2.0-85218241130https://d8.irins.org/handle/IITG2025/28419This is an expository version of our paper [J. Softw. AlgebraGeom., 13 (2023), 1–12]. Our aim is to present recent Macaulay 2 algorithms for computation of mixed multiplicities of ideals in a Noetherian ring which is either local or a standard graded algebra over a field. These algorithms are based on computation of the equations of multi-Rees algebras of ideals that generalises a result of Cox, Lin and Sosa [Proc. Amer. Math. Soc. 147(2019), 4605–4616]. Using these equations we propose efficient algorithms for computation of mixed volumes of convex lattice polytopes and sectional Milnor numbers of hyper surfaces with an isolated singularity.falsemixed multiplicities | mixed volume | Multi-Rees algebras | sectional Milnor numbersConference Paper1098362793-11220250cpBook Series0