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10/05/2021
Segre-Driven Radicality Testing
We present a probabilistic algorithm to test if a homogeneous polynomial...
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06/28/2021
Conormal Spaces and Whitney Stratifications
We describe a new algorithm for computing Whitney stratifications of com...
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01/26/2020
On the Uniqueness Problem for Quadrature Domains
We study questions of existence and uniqueness of quadrature domains usi...
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08/15/2019
Probabilistic Saturations and Alt's Problem
Alt's problem, formulated in 1923, is to count the number of four-bar li...
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07/09/2018
Multistationarity and Bistability for Fewnomial Chemical Reaction Networks
Bistability and multistationarity are properties of reaction networks li...
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07/09/2018
Multistationarity for Fewnomial Chemical Reaction Networks
We study chemical reaction networks with few chemical complexes. Under m...
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06/19/2018
Segre Class Computation and Practical Applications
Let X ⊂ Y be closed (possibly singular) subschemes of a smooth projectiv...
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06/19/2018
Effective Intersection Theory
Let X ⊂ Y be closed (possibly singular) subschemes of a smooth projectiv...
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07/24/2017
Complexity of Model Testing for Dynamical Systems with Toric Steady States
In this paper we investigate the complexity of model selection and model...
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07/24/2017
Euclidean Distance Degree for Chemical Reaction Networks
In this paper we investigate the complexity of model selection and model...
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03/21/2016
Nearest Points on Toric Varieties
We determine the Euclidean distance degree of a projective toric variety...
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08/16/2015