Jared Holshouser

@jaredholshouser.bsky.social

Market Conduct Analyst for the state of Vermont. Hobbyist mathematician - Set theoretic topology. Animal and food pic enjoyer. He/Him

I'm trying Hades again. I'm a little frustrated because I've full cleared silksong and hollow knight (including optional bosses), but I really struggle to stay alive in Hades. Some combination of my impatience and hard to parse graphics probably.

It's genuinely upsetting to see high level mathematicians be so un credulous at the motives of big tech. No ethical thoughts at all, seemingly. Just oh look this shiny toy they were "nice" enough to give me spat out a theorem.

I've got a new paper that I'm proud of: arxiv.org/abs/2507.17936. While teaching discrete math, we got some results about the topology of finite subsets, finite tuples, and compact subsets of a given space. I was teaching combinatorics, so I wondered about ordered compact subsets. This is the result

An Adaptation of the Vietoris Topology for Ordered Compact Sets

We introduce a natural topology on powers of a space that is inspired by the Vietoris topology on compact subsets. We then place this topology in context with other product topologies; specifically, w...

arxiv.org

AI companies are just like every other profiteer horning in on public education money. They aren't trying to fool educators, who know better. They're trying to fool politicians, who are stupid af and easily bought.

Today was my first day at a non academic job since I earned my PhD. Academia turned out to be a corrosive environment for me, but I hope to continue my research as a hobby now. I'm hopeful that I can thrive in my new work environment and also do some good for the world.

Have any of y'all ran a senior seminar/independent study in set theory before? I'm running one this fall with an interested, talented student who lacks any real set theory experience. Any advice you have is appreciated.