Presentations

I gave this presentation in the Algebra Seminar at the University of Arkansas. This was a chalk talk but my notes are here.

Abstract: The Hartshorne-Speiser-Lyubeznik number (HSL number) is a nilpotency index for modules with a Frobenius action. One important class of such modules is the class of local cohomology modules of a ring of positive characteristic. The HSL numbers of these local cohomology modules are closely connected to the class of F-nilpotent singularities, which is of interest in part due to its connection to other F-singularities. In this talk we present an explicit upper bound for the HSL numbers of the local cohomology modules of a positive characteristic pointed affine semigroup ring.

I gave this presentation in the Commutative Algebra Seminar at the University of Michigan. This was a chalk talk but my notes are here.

Abstract: The Hartshorne-Speiser-Lyubeznik (HSL) number is a degree of nilpotency for modules with a Frobenius action. One important class of such modules is the class of local cohomology modules of a ring of positive characteristic. For this class of modules HSL numbers can be connected to various F-singularities, such as F-nilpotency and F-rationality. In this talk we give an upper bound for the HSL numbers of the local cohomology modules of pointed affine semigroup rings. 

I gave this presentation in the Commutative Algebra Seminar at the University of Michigan. This was a chalk talk but my notes are here.

Abstract: The Hartshorne-Speiser-Lyubeznik number (HSL number) is a nilpotency index for modules with a Frobenius action. One important class of such modules is the local cohomology modules of a ring of positive characteristic. The HSL numbers of these local cohomology modules are closely connected to the class of F-nilpotent singularities, which is of interest in part due to its connection to other F-singularities. In this talk we present an explicit upper bound for the HSL numbers of the local cohomology modules of a positive characteristic pointed semigroup ring. 

I gave this presentation with Alex Bauman, Gary Hu, Sandra Nair, and Ying Wang at the Michigan Research Experience for Graduate Students (MREG) end of program conference. It describes our results from the MREG program, supervised by Takumi Murayama. Slides here.

I gave this presentation with Xiaomin Li at the 2021 Ottawa Math Conference. It describes our results from the 2019 FUSRP program and from my senior thesis at Harvey Mudd College. PDF here.

I gave this presentation with Xiaomin Li, at the 2019 FUSRP mini-conference. It describes our results from the program. Slides here, and a video recording of the presentation here. (To find the video: (1) in the "Browse by Month" section at the top select August 2019, (2) click "Show the Month's Videos", and (3) scroll down to "Project 2: Representation theory of Lie algebras and beyond".)

I gave this presentation with Meagan Kenney, at the 2018 Texas A&M REU Mini-Conference. It describes our results from the program. PDF here.

I gave this presentation with Chris Donnay, Kate O'Connor and Erin Wood, at the AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates and Students in Post-Baccalaureate Programs, IV, at JMM 2018. This presentation is based on our results from the 2017 WADE Into Research REU. PDF here.

I gave this presentation with Chris Donnay, Kate O'Connor and Erin Wood, at the Mock AMS Conference at the University of Georgia. It is based on our results from the 2017 WADE Into Research REU. PDF here.