User:Chan-Ho Suh/todo
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[edit] To Do List
Roughly, higher priority stuff is at top.
- Heegaard Floer homology -- kill redirect and create separate article
- Andreas Floer - take a look at Notices article and see if there's stuff to add
- Mikhail Gromov - rewrote article, but still needs good overview of contributions such as pseudoholomorphic curves (can add refs to later uses by Floer, et al)
- Ricci flow -- expand: maximum principle, neckpinch, etc.
- Casson invariant -- start; create bio on Andrew Casson
- Make mention of minimal surface theory in 3-manifold theory. Meeks-Yau, Schoen-Yau, Freedman-Hass-Scott, Pitts-Rubinstein, etc.
- Negatively curved group--add more definitions. Mention some basic properties and so forth.
- knot diagram - currently redirects to knot theory; create own page with definitions and theorems about general position
- Mazur swindle - explain history, name, and basic trick as applied to knots and generalized Schoenflies theorem
- David Roth -- close up magician, known primarily for his coin magic
- random 3-manifold -- explain heuristic idea and some definitions
- Heegaard splitting -- need to cleanup entirely article to read better and have better organization and motivation. Also, add Freedman-Hass-Scott and Pitts-Rubinstein results.
- Margulis lemma - start, + Margulis constant
- Tait conjectures: flyping conjecture, writhe conjecture, minimize crossing number
- finite type invariants -- need to flesh out more
- Kontsevich integral -- start (see /draft2),maybe also universal finite type invariant
- John Bardeen: Bell Lab years, Nobel prize(s) work
- Max Dehn -- Dehn twist theorem
- Dehn-Nielsen Theorem -- start
- Smith conjecture-- explain major chunks of the proof and contributions by different groups
- Zassenhaus neighborhood -- start
- SnapPea -- explain censuses
- normal surface -- upload figures and explain some more
- Knot polynomial -- and related articles
- Alexander polynomial -- have expanded, but still could use a lot more; add relations to HF homology and higher order invariants?
- Jones polynomial -- now has both Jones and Kauffman formulations ;need more on R-matrix stuff and general cleanup
- 2-bridge knot
- tangle (mathematics) - redirect tangle theory
[edit] Images needed
- Topology -- better image of transformation from coffee mug to doughnut
- Alexander horned sphere -- need an image of it and perhaps a close-up of the iterative construction
- figure-eight knot (mathematics) -- add picture for gluing of two ideal tetrahedra
- RH Bing -- picture of Bing, and Pictures of House with Two Rooms, Dogbone space
- Alternating knot -- picture of a flype
- Handlebody - picture of a handlebody with spine
- Bing double -- need pics for the doubling processes; also create articles
- Whitehead double -- will probably need alternate pic of whitehead link also
[edit] Rough Drafts/Rewrites
- /PC proof - summarize proof by Grigori Perelman in a couple paragraphs to insert in Perelman article.
- /notability guide for mathematicians - not sure if this is a great idea or if I will get around to it any time soon
- /draft5 -- on the mathematics of the Circle Limit series of artwork by M. C. Escher.
- /draft4 -- rewrite of planar graph to make more understandable to wider audience
- /draft2 -- Kontsevich integral
- /draft3 -- knot diagram
