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Some fun board drawings relating to my research:
Some fun board drawings relating to my research:
Annular Twists
Annular Twists
A schematic depicting the construction used in John Osoinach's Paper to show that there are knots which aren't characterized by their 0-surgeries using the annular twist method.
Essential Surfaces
Essential Surfaces
Some curves illustrated on a Seifert Surface for the Figure-8 connect sum its mirror.
Dual Knots
Dual Knots
A schematic illustrating John Berge's construction that dual knots to Berge knots are 0 or 1-bridge in their lens space surgeries.
Some R-Links
Some R-Links
A diagram used in showing that the figure-8 connect sum its mirror and its annular twists appear in R-links (original research).
When I'm not doing math, I like to practice film photography on my 1980 Nikon Fe! Some of my favorite shots so far:
Water Lilies
Water Lilies
Taken at the Como Park Conservatory in Minneapolis, Minnesota while on vacation
"A long road ahead"
"A long road ahead"
This is a picture of a Davis bikepath taken on a summer sunset. The usage of a wide angle lens has the effect of pushing the end of the path "out to infinity"--an effect I quite liked for this shot.
Lincoln Capital
Lincoln Capital
Taken in Lincoln Nebraska while I was at the 2024 Trisectors Conference
"Light show"
"Light show"
Sometimes the shutters on older cameras get stuck, leading to some interesting artifacts getting left on the film. This is one of those cases.
"First shot" of a Sunrise
"First shot" of a Sunrise
The title of the picture includes the phrase "first shot" in quotes because it was the first shot on the roll of film--leading to the distinct white and orange "burn" on the bottom of the image--the boundary of which matches the colors of the sunrise. The picture was also taken on my recent visit to Minnesota.
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