👋🏽 Hello, and welcome to my website! My name is Pramana Saldin and I am a fourth-year undergraduate at the University of Wisconsin. I am a 2025 Barry Goldwater Scholar. This summer, I am conducting research for the SMALL REU (number theory and probability). I’m interested in algebra.

For the details of this site: I use Hugo with a modified Archie theme. This site is deployed through GitHub Pages.

If you want to reach out, you can contact me on my Mathstodon or by email: [lastname] [at] wisc [dot] edu.

A presheaf which is not a sheaf


What makes some presheaves so badly behaved?
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Can a machine learn mathematical structure?


A discussion of my research work last semester to use machine learning to answer questions in algebra
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Why homology is weaker than homotopy


How to come up with two spaces that have isomorphic homology groups, but not the same fundamental groups
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Understanding exact sequences


Through examples in groups and differential geometry
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My first CTF: HackMIT 2023's puzzle


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Visualizing prime spectrums with graphs


Applying my combinatorics knowledge to commutative algebra to help draw the prime spectrum of a ring.
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Visualizing horospheres on hyperbolic groups


My spring semester undergradute research project. Joint work with Noah Jillson, Katerina Stuopis, Daniel Levitin, and Tullia Dymarz.
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Weak solutions to dirichlet boundary problems


A (hopefully) light survey of Dirichlet boundary problems and weak solutions to PDEs.
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Group structures


Introductory methods I've gathered for studying the structure of finite groups.
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Graph ends and their purpose in geometric group theory


An introduction to "ends" in graph theory and their use in geometric group theory.
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