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Portfolio item number 1

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Portfolio item number 2

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Paper Title Number 1

Published in Journal 1, 2009

This paper is about the number 1. The number 2 is left for future work.

Recommended citation: Your Name, You. (2009). "Paper Title Number 1." Journal 1. 1(1).
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Paper Title Number 2

Published in Journal 1, 2010

This paper is about the number 2. The number 3 is left for future work.

Recommended citation: Your Name, You. (2010). "Paper Title Number 2." Journal 1. 1(2).
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Paper Title Number 3

Published in Journal 1, 2015

This paper is about the number 3. The number 4 is left for future work.

Recommended citation: Your Name, You. (2015). "Paper Title Number 3." Journal 1. 1(3).
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Paper Title Number 4

Published in GitHub Journal of Bugs, 2024

This paper is about fixing template issue #693.

Recommended citation: Your Name, You. (2024). "Paper Title Number 3." GitHub Journal of Bugs. 1(3).
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Paper Title Number 5, with math \(E=mc^2\)

Published in GitHub Journal of Bugs, 2024

This paper is about a famous math equation, \(E=mc^2\)

Recommended citation: Your Name, You. (2024). "Paper Title Number 3." GitHub Journal of Bugs. 1(3).
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Rectifications of homotopy interleaving distances

Published: April 25, 2025

Topological data analysis employs an `interleaving distance’ between persistence spaces as a means of measuring when two such objects are approximately isomorphic. By generalizing this notion to homotopy interleavings, one can instead measure when persistent spaces are approximately weakly equivalent. Michael Lesnick and Andrew Blumberg developed a universal homotopy interleaving distance and conjectured that it differed from the interleaving distance on a homotopy category by at most a multiplicative constant. The conjecture was later proved by Edoardo Lanari and Luis Scoccola. I gave motivation and proof of this conjecture, stating the homotopy interleaving distance on \(\textnormal{Fun}(\mathbb{Z},Spc)\) is within a multiplicative constant of the interleaving distance on \(\textnormal{Fun}(\mathbb{Z},\textnormal{Ho}(Spc))\). I also detailed the failure of this phenomenon for multi-persistent spaces.

Homological Stability of Automorphism Groups

Published: May 29, 2025

This talk was given as part of attendance in Talbot 2025, centered on the topic of homological stability. I gave motivation and set up the axiomatization of proving homological stability in a range for a given sequence of groups satisfying some properties. First, the general setting of braided monoidal groupoids were introduced followed by giving its `space of destabilizations’ needed to apply Quillen’s spectral sequence argument.

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.