Research
Research
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I am broadly interested in commutative algebra and its connections to algebraic geometry, combinatorics, and representation theory. Right now I am studying the Lefschetz properties, in particular for modules.
I am broadly interested in commutative algebra and its connections to algebraic geometry, combinatorics, and representation theory. Right now I am studying the Lefschetz properties, in particular for modules.
For those who want to learn more, here are my (handwritten) notes for an talk I gave in Purdue's grad student colloquium introducing the Lefschetz properties to a general audience (but a better resource is this survey article by Juan Migliore and Uwe Nagel).
For those who want to learn more, here are my (handwritten) notes for an talk I gave in Purdue's grad student colloquium introducing the Lefschetz properties to a general audience (but a better resource is this survey article by Juan Migliore and Uwe Nagel).
I have written some code for Macaulay2 to test if a module has the weak or strong Lefschetz property. If you are interested, email me for the text.
I have written some code for Macaulay2 to test if a module has the weak or strong Lefschetz property. If you are interested, email me for the text.
Papers and preprints:
Papers and preprints:
The strong Lefschetz property for certain modules over Clements-Lindström rings, 2024 (Submitted). Available at https://arxiv.org/abs/2406.15919.
The strong Lefschetz property for certain modules over Clements-Lindström rings, 2024 (Submitted). Available at https://arxiv.org/abs/2406.15919.
The strong Lefschetz property for some almost complete intersections, 2024 (with Filip Jonsson Kling). In preparation.
The strong Lefschetz property for some almost complete intersections, 2024 (with Filip Jonsson Kling). In preparation.
Upcoming travel/talks:
Upcoming travel/talks:
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