Georgia Institute of Technology
Hello! I am a fourth year Mathematics Ph.D. student (he/him) at Georgia Tech advised by Josephine Yu. I am currently working on problems in weighted Ehrhart theory and algebraic combinatorics.
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Georgia Institute of TechnologySchool of Mathematics
Ph.D. StudentAug. 2022 - present -
Duke UniversityB.S. in Mathematics and Computer Science, Graduation with DistinctionAug. 2018 - May 2022
Experience
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Los Alamos National LaboratoryResearch InternJune 2023 - Sept. 2024
Honors & Awards
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2025 - present
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NC Math Scholar - Duke Full-Tuition Scholarship2018 - 2022
News
Selected Publications (view all )
Computing parametric weighted Ehrhart polynomial of smooth polytopes
Daniel Hwang, Juliet Whidden, Josephine Yu
Submitted to Formal Power Series and Algebraic Combinatorics (FPSAC) 2026 Spotlight
We show that when integral polytopes are deformed while keeping the same facet normal vectors, the coefficients of weighted Ehrhart and h* polynomials are piecewise polynomial functions in the ``right-hand sides" of the linear inequalities defining the polytopes. We give an algorithm and an implementation in SageMath for computing these polynomials for smooth polytopes, such as type A alcoved polytopes, using a weighted Euler-Maclaurin type formula by Khovanskii and Pukhlikov.
Computing parametric weighted Ehrhart polynomial of smooth polytopes
Daniel Hwang, Juliet Whidden, Josephine Yu
Submitted to Formal Power Series and Algebraic Combinatorics (FPSAC) 2026 Spotlight
We show that when integral polytopes are deformed while keeping the same facet normal vectors, the coefficients of weighted Ehrhart and h* polynomials are piecewise polynomial functions in the ``right-hand sides" of the linear inequalities defining the polytopes. We give an algorithm and an implementation in SageMath for computing these polynomials for smooth polytopes, such as type A alcoved polytopes, using a weighted Euler-Maclaurin type formula by Khovanskii and Pukhlikov.