Welcome to my user page! As a Wikipedia editor, I focus on pages about mathematics, my primary area of technical knowledge. Wikipedia has helped me learn about many mathematical subjects and I hope to pay back this generous gift by sharing my own knowledge, especially the subjects I study as a working mathematician.
Why should mathematicians edit Wikipedia?[edit]
Fellow mathematicians: Wikipedia
- Reaches more people than you can. Consistently ranked among the top-ten most-visited websites, Wikipedia is the first place (or second, after a search engine) where we go to look up a new idea. This makes the potential impact of your expository work here much greater than any blog, technical article, textbook, or lecture. (Though such work can feed into Wikipedia articles.)
- Complements other communication methods. We have many ways to communicate mathematical knowledge, among them research articles, textooks, scientific journals, lectures, and personal discussions. Wikipedia is none of these things. I hope to convince you that nonetheless there is a place for Wikipedia in mathematical discourse.
- Organizes the literature. The mathematical literature is massive and has a long shelf-life. Sites like MathSciNet and zbMATH are an invaluable tool for searching this literature, but they do little to organize it systematically. As a tertiary source whose scope is the sum of human knowledge, Wikipedia aims for systematic organization of the research literature.
- Encourages collaboration. Mathematicians understand the benefits of lumping our efforts together, from a humble pair of coauthors to a Bourbaki group or Stacks project. Wikipedia fits solidly in this collaborative tradition.
- Aggregates information. This point is subtly different from the previous one. Although excellent summary and overview articles do exist, it is rare for all the important facts about a topic to be collected in one place. Wikipedia can be such a place, though not at a technical level.
- Allows edits. Knowledge evolves over time. Published mathematical literature is static, a trait that aids in record keeping but not in tracking this evolution of knowledge. Wikipedia is much more flexible and can change with the times.
- Needs your help. Many mathematics articles, especially on topics beyond the undergraduate curriculum, are shallow or nonexistent. Only those of us with technical knowledge can write them.
Articles[edit]
Here is a list of articles I hope to create or polish.
Reductive groups[edit]
- Levi subgroup (currently redirects to Levi decomposition)
- quasi-split group
- relative root system
list of irreducible Tits indices- Chevalley involution
- Table of nilpotent orbits
p-adic groups and their representations[edit]
- p-adic group (currently redirects to p-adic number)
- idempotented algebra
- locally profinite group
Moy-Prasad filtration- Bernstein decomposition
- Langlands classification (currently only covers the real case)
- supercuspidal representation
- affine root system
- Steinberg representation
Langlands program[edit]
This user is a mathematician. |
This user thinks you can learn a lot by editing an Encyclopedia. |