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Research
I'm a Van Vleck Visiting Assistant Professor in the Department of Mathematics at University of Wisconsin -- Madison working in applied and computational algebraic geometry. Some of my interests, in no particular order, are as follows.
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- Galois theory in enumerative geometry
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- Toric varieties in applications
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- Numerical certification methods
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- Algebraic optimization
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- Algebraic statistics
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- Real algebraic geometry
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Below is a reverse chronological list of my publications and preprints.
- Activation thresholds and expressiveness of polynomial neural networks.
- Completions to Discrete Probability Distributions in Log-linear Models, to appear in Journal of Algebraic Statistics.
- Computing Galois groups of finite Fano problems, Journal of Symbolic Computation 119 (2023), 81-89.
- Real solutions to systems of polynomial equations in Macaulay2, Journal of Software for Algebra and Geometry Vol 14 (2024), 87-95.
- Galois Groups in Enumerative Geometry and Applications.
- Polyhedral Homotopies in Cox Coordinates, Journal of Algebra and its Applications.
- Decomposable Sparse Polynomial Systems, Journal of Software for Algebra and Geometry Vol. 11 (2021), 53-59.
- Solving Decomposable Sparse Systems, Numerical Algorithms 88, 453-474 (2021).
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