Research
Research
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I study knot theory and other phenomena in low-dimensional topology, and I am particularly interested in questions regarding smooth knot concordance and homology cobordism. I search for (and sometimes even find!) answers to these questions in the frameworks of Heegaard Floer homology and its refinements.
my (current) favorite pattern: the Mazur pattern
Here is a link to my recent preprint:
"Homology cobordism, smooth concordance, and the figure eight knot"
Here is a link to my recent preprint:
"Homology cobordism, smooth concordance, and the figure eight knot"
Above is the slide from my 5 minute talk for the SLMath/MSRI Fall 2022 program, which summarizes my result in (mostly) pictures.
Above is the slide from my 5 minute talk for the SLMath/MSRI Fall 2022 program, which summarizes my result in (mostly) pictures.
Below is more math of varying quality that I have drawn for various purposes. I change them out fairly regularly & don't promise any level of accuracy or import.
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