MathSciNet is the AMS database providing access to abstracts, reviews and links to original journal articles, conference proceedings, and books.
You can search MathSciNet using traditional search terms: journals, authors, publications and citations.
You can also search by MSC2020 - Mathematics Subject Classification System, updated in 2020. MSC is a math-specific classification scheme to allow searching for topics in mathematical literature as precisely as possible.
One of the Free Tools in MathSciNet allows you to specifically search by the Classification number. Additionally, you can search Current Publications by Classification to keep up-to-date with all recently published articles.
Likewise, Authors are uniquely identified (by their MR Author ID), enabling a search for publications by individual author rather than by name string. For Example, Hilbert, D* or 85745