Over the past few days I did a simple calculation that led me to an unavoidable conclusion: I will never be able to cover more than a small fraction of mathematics. Writing a single entry takes a surprising amount of time. In the last four months I have published only seven new pages. Even when I already have enough material, each article goes through study, rewriting, fact-checking, and dozens of revisions before I feel it has the right balance of clarity, quality, and rigor.
In more than three years I have written just over 250 entries. It feels like an enormous amount of work, yet it is only a tiny fraction of what a mathematical knowledge base could contain. I don’t want to solve this by lowering the quality of the content. Instead, I’ve decided to narrow the scope and focus on what I believe matters most: the foundations of analysis, algebra, probability, and statistics, together with a selection of topics in physics and computer science.
This means that Algebrica will gradually shift its focus from adding as many pages as possible to making the existing ones deeper, more complete, and more useful. I’d rather have fewer entries that explore a topic thoroughly than thousands of pages that don’t reflect the standards or the vision I have for this project.
I know some of you would like to see Algebrica cover many more areas of mathematics, and I wish I could make that happen. I hope this choice will make the project more valuable in the long run: perhaps smaller than many would expect, but stronger, more consistent, and faithful to the idea that inspired it from the beginning.