Research

  1. Families of polytopes with rational linear precision in higher dimensions Joint with Isobel Davies, Irem Portakal and Stefana Miruna Sorea. To appear in Foundations of Computational Mathematics.

  2. A new characterization of discrete decomposable models. Joint with Liam Solus. To appear in Proceedings of the AMS.

  3. Representation of Context-Specific Causal Models with Observational and Interventional Data. Joint with Liam Solus. Submitted.

  4. Algebraic geometry of discrete interventional models. Joint with Liam Solus. Submitted.

  5. Groebner bases for staged trees. Ananiadi, L. and Duarte, E., 2021. Algebraic Statistics, 12(1), pp.1-20.

  6. Implicitization of tensor product surfaces via virtual projective resolutions. Joint with Alexandra Seceleanu. Duarte, E. and Seceleanu, A., 2020. Mathematics of Computation, 89(326), pp.3023-3056.

  7. Global projections of the soil microbiome. Carlos Guerra, Manuel Delgado Baquerizo, Eliana Duarte, Fernando T. Maestre and Nico Eisenhauer. Guerra, C.A., Delgado‐Baquerizo, M., Duarte, E., Marigliano, O., Görgen, C., Maestre, F.T. and Eisenhauer, N., 2021. Global Ecology and Biogeography, 30(5), pp.987-999.

  8. Discrete statistical models with rational MLE. Joint with Orlando Marigliano and Bernd Sturmfels. Duarte, E., Marigliano, O. and Sturmfels, B., 2021. Bernoulli, 27(1), pp.135-154.

  9. Equations defining probability tree models. Joint with Christiane Gorgen. Duarte, E. and Görgen, C., 2020. Journal of Symbolic Computation, 99, pp.127-146.

  10. Implicitization of tensor product surfaces in the presence of a generic set of basepoints. Duarte, E., 2017. Journal of Algebra and Its Applications, 16(10), p.1750189.

  11. Polynomial GCDs by syzygies. Joint with Daniel Lichtblau. 2016 18th Interna- tional Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Timisoara, Romania. 2016, pp. 53-59.

  12. Tensor product surfaces and linear syzygies. Joint with Hal Schenck. Proceedings of the American Mathematical Society 144.1 (2016): 65-72. (Open Access)

  13. Stability of quasicrystal frameworks in 2D and 3D. Joint with George K. Francis. Proceedings of the First Conference Transformables, Seville, Spain, 2013.

Video Lectures

Algebraic Statistics Seminar Online Virtual Rigidity Seminar

Slides of selected talks

NASO. Rigidity Seminar. MathCore May 12.