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
• Friedhelm Waldhausen -- start
• 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
• /draft6 -- Friedhelm Waldhausen, right now just poorly Google translated version of the German Wikipedia article
• /draft7 -- rewrite of knot theory; one problem is that the current version does not follow WP:LEAD.