Arun Debray
@arunbassoon.bsky.social
I make puns. I can promise quantity, but not quality.
Assistant professor of mathematics at the University of Kentucky, working on algebraic topology ↦ mathematical physics. He/him.
Assistant professor of mathematics at the University of Kentucky, working on algebraic topology ↦ mathematical physics. He/him.
New paper online, joint with Matt Yu!
A great collaboration and a fun project, and we definitely plan to return to this subject in the future :)
A great collaboration and a fun project, and we definitely plan to return to this subject in the future :)
Arun Debray, Matthew Yu
Type IIA String Theory and tmf with Level Structure
https://arxiv.org/abs/2411.07299
Type IIA String Theory and tmf with Level Structure
https://arxiv.org/abs/2411.07299
November 15, 2024 at 2:27 PM
New paper online, joint with Matt Yu!
A great collaboration and a fun project, and we definitely plan to return to this subject in the future :)
A great collaboration and a fun project, and we definitely plan to return to this subject in the future :)
Pleased to announce a new project up on arXiv today, joint with Omar Antolín Camarena, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, and Luuk Stehouwer!
This is a piece of a longer-term goal to understand the "free-to-interacting map" on topological phases using algebraic topology.
This is a piece of a longer-term goal to understand the "free-to-interacting map" on topological phases using algebraic topology.
Omar Antol\'in Camarena, Arun Debray, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, Luuk Stehouwer
Weak topological phases in the presence of interactions
https://arxiv.org/abs/2410.10031
Weak topological phases in the presence of interactions
https://arxiv.org/abs/2410.10031
October 15, 2024 at 1:28 PM
Pleased to announce a new project up on arXiv today, joint with Omar Antolín Camarena, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, and Luuk Stehouwer!
This is a piece of a longer-term goal to understand the "free-to-interacting map" on topological phases using algebraic topology.
This is a piece of a longer-term goal to understand the "free-to-interacting map" on topological phases using algebraic topology.
New paper on arXiv this morning, joint with Cameron Krulewski!
In this project, we illustrate how to apply our previous work with Devalapurkar, Liu, Pacheco-Tallaj, and Thorngren to answer some questions in the literature.
In this project, we illustrate how to apply our previous work with Devalapurkar, Liu, Pacheco-Tallaj, and Thorngren to answer some questions in the literature.
Arun Debray, Cameron Krulewski
Smith homomorphisms and Spin$^h$ structures
https://arxiv.org/abs/2406.08237
Smith homomorphisms and Spin$^h$ structures
https://arxiv.org/abs/2406.08237
June 13, 2024 at 5:43 AM
New paper on arXiv this morning, joint with Cameron Krulewski!
In this project, we illustrate how to apply our previous work with Devalapurkar, Liu, Pacheco-Tallaj, and Thorngren to answer some questions in the literature.
In this project, we illustrate how to apply our previous work with Devalapurkar, Liu, Pacheco-Tallaj, and Thorngren to answer some questions in the literature.
"I can't believe I'm in the Moon's shadow," Tom said, taking umbrage.
April 9, 2024 at 3:57 AM
"I can't believe I'm in the Moon's shadow," Tom said, taking umbrage.
I wrote an article on differential cohomology for the Encyclopedia of Mathematical Physics (2nd ed)!
Many authors for this encyclopedia have posted their articles on arXiv (see arxiv.org/search/?quer...) and I highly recommend checking other articles out; I've really liked them!
Many authors for this encyclopedia have posted their articles on arXiv (see arxiv.org/search/?quer...) and I highly recommend checking other articles out; I've really liked them!
Differential cohomology (encyclopedia article)
We give an overview of differential cohomology from the point of view of algebraic topology. This includes a survey of several different definitions of differential cohomology groups, a discussion...
arxiv.org
December 25, 2023 at 4:09 AM
I wrote an article on differential cohomology for the Encyclopedia of Mathematical Physics (2nd ed)!
Many authors for this encyclopedia have posted their articles on arXiv (see arxiv.org/search/?quer...) and I highly recommend checking other articles out; I've really liked them!
Many authors for this encyclopedia have posted their articles on arXiv (see arxiv.org/search/?quer...) and I highly recommend checking other articles out; I've really liked them!
Excited to announce a new paper online, joint with
Weicheng Ye and Matthew Yu! I had a lot of fun in this collaboration and we got to think about some seriously cool math and physics ideas during this project (and solve some tricky extension problems!).
arxiv.org/abs/2312.13341
Weicheng Ye and Matthew Yu! I had a lot of fun in this collaboration and we got to think about some seriously cool math and physics ideas during this project (and solve some tricky extension problems!).
arxiv.org/abs/2312.13341
December 22, 2023 at 4:19 AM
Excited to announce a new paper online, joint with
Weicheng Ye and Matthew Yu! I had a lot of fun in this collaboration and we got to think about some seriously cool math and physics ideas during this project (and solve some tricky extension problems!).
arxiv.org/abs/2312.13341
Weicheng Ye and Matthew Yu! I had a lot of fun in this collaboration and we got to think about some seriously cool math and physics ideas during this project (and solve some tricky extension problems!).
arxiv.org/abs/2312.13341
New paper out today, joint with Ivano Basile, Matilda Delgado, and Miguel Montero! This was a fun project and I'm looking forward to chasing down some followup ideas :)
arxiv.org/abs/2310.06895
arxiv.org/abs/2310.06895
Global anomalies & bordism of non-supersymmetric strings
The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been shown to be fully...
arxiv.org
October 12, 2023 at 12:00 PM
New paper out today, joint with Ivano Basile, Matilda Delgado, and Miguel Montero! This was a fun project and I'm looking forward to chasing down some followup ideas :)
arxiv.org/abs/2310.06895
arxiv.org/abs/2310.06895
I'm excited to announce a new paper joint with Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu, Natalia Pacheco-Tallaj, and Ryan Thorngren! This was in progress for a while and I'm excited to see it online and proud of our team!
arxiv.org/abs/2309.16749
arxiv.org/abs/2309.16749
A Long Exact Sequence in Symmetry Breaking: order parameter...
We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at the cores of...
arxiv.org
October 2, 2023 at 3:17 AM
I'm excited to announce a new paper joint with Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu, Natalia Pacheco-Tallaj, and Ryan Thorngren! This was in progress for a while and I'm excited to see it online and proud of our team!
arxiv.org/abs/2309.16749
arxiv.org/abs/2309.16749