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Numerical Algebraic Geometry - Publications

Explore the scholarly works of the "Numerical Algebraic Geometry" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.


inJournal
2025 Journal Open Access
Barbara Betti, Marta Panizzut and Simon Telen

Solving equations using Khovanskii bases

In: Journal of symbolic computation, 126 (2025), p. 102340
inJournal
2024 Repository Open Access
Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger and Simon Telen

Vector spaces of generalized Euler integrals

In: Communications in number theory and physics, 18 (2024) 2, pp. 327-370
Preprint
2024 Repository Open Access
Zaïneb Bel-Afia, Chiara Meroni and Simon Telen

Chebyshev varieties

Preprint
2024 Repository Open Access
Barbara Betti and Leonie Kayser

Mukai lifting of self-dual points in \(\mathbb{P}^6\)

Preprint
2024 Repository Open Access
Barbara Betti, Viktoriia Borovik and Simon Telen

Proudfoot-Speyer degenerations of scattering equations

Preprint
2024 Repository Open Access
Shounak De, Dmitrii Pavlov, Marcus Spradlin and Anastasia Volovich

From Feynman diagrams to the amplituhedron : a gentle review

inJournal
2024 Repository Open Access
Mareike Dressler, Marina Garrote-López, Guido Montúfar, Kemal Rose and Johannes Müller

Algebraic optimization of sequential decision problems

In: Journal of symbolic computation, 121 (2024), p. 102241
inJournal
2024 Repository Open Access
Timothy Duff, Simon Telen, Elise Walker and Thomas Yahl

Polyhedral homotopies in Cox coordinates

In: Journal of algebra and its applications, 23 (2024) 4, p. 2450073
inJournal
2024 Repository Open Access
Claudia Fevola, Sebastian Mizera and Simon Telen

Landau singularities revisited : computational algebraic geometry for Feynman integrals

In: Physical review letters, 132 (2024) 10, p. 101601
inJournal
2024 Repository Open Access
Claudia Fevola, Sebastian Mizera and Simon Telen

Principal Landau determinants

In: Computer physics communications, 303 (2024), p. 109278
Preprint
2024 Repository Open Access
Leonie Kayser, Andreas Kretschmer and Simon Telen

Logarithmic discriminants of hyperplane arrangements

inJournal
2024 Journal Open Access
Abhiram Kidambi, Masaki Okada and Taizan Watari

Notes on characterizations of 2d rational SCFTs : algebraicity, mirror symmetry, and complex multiplication

In: Fortschritte der Physik, (2024)
Preprint
2024 Repository Open Access
Elia Mazzucchelli, Dmitrii Pavlov and Kexin Wang

Hyperplane arrangements in the Grassmannian

inJournal
2024 Journal Open Access
Dmitrii Pavlov

Logarithmically sparse symmetric matrices

In: Beiträge zur Algebra und Geometrie, 65 (2024) 4, pp. 907-922
Academic
2024 Repository Open Access
Dmitrii Pavlov

Real algebraic geometry for physics and optimization

Dissertation, Universität Leipzig, 2024
Preprint
2024 Repository Open Access
Dmitrii Pavlov and Simon Telen

Santaló geometry of convex polytopes

Preprint
2024 Repository Open Access
Kristian Ranestad, Rainer Sinn and Simon Telen

Adjoints and canonical forms of tree amplituhedra

Academic
2024 Repository Open Access
Kemal Rose

Sparse polynomial system(s) in optimization

Dissertation, Universität Leipzig, 2024
Preprint
2024 Repository Open Access
Kemal Rose

The polyhedral type of a polynomial map on the plane

inJournal
2024 Repository Open Access
Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221
Preprint
2024 Repository Open Access
Simon Telen and Maximilian Wiesmann

Euler stratifications of hypersurface families

inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863
inJournal
2023 Repository Open Access
Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya and Kemal Rose

Lines on \(p\)-adic and real cubic surfaces

In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162
Preprint
2023 Repository Open Access
Barbara Betti, Alessio Moscariello, Francesco Romeo and Jyoti Singh

F-threshold of determinantal rings

inJournal
2023 Repository Open Access
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels and Simon Telen

Bayesian integrals on toric varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103
inJournal
2023 Repository Open Access
Paul Breiding, Kemal Rose and Sascha Timme

Certifying zeros of polynomial systems using interval arithmetic

In: ACM transactions on mathematical software, 49 (2023) 1, p. 11
inJournal
2023 Repository Open Access
Rob Claes, Karl Meerbergen and Simon Telen

Contour integration for eigenvector nonlinearities

In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1619-1644
Preprint
2023 Repository Open Access
Eliana Duarte, Dmitrii Pavlov and Maximilian Wiesmann

Algebraic geometry of quantum graphical models

Preprint
2023 Repository Open Access
Sebastian Falkensteiner, Dmitrii Pavlov and Rafael Sendra

On real and observable realizations of input-output equations

Preprint
2023 Repository Open Access
Fulvio Gesmundo, Leonie Kayser and Simon Telen

Hilbert functions of chopped ideals

Preprint
2023 Repository Open Access
Julia Lindberg, Leonid Monin and Kemal Rose

A polyhedral homotopy algorithm for computing critical points of polynomial programs

Preprint
2023 Repository Open Access
Julia Lindberg, Leonid Monin and Kemal Rose

The algebraic degree of sparse polynomial optimization

inJournal
2023 Journal Open Access
Yannik Mahlau, Leonie Kayser and Lukas Berg

[Re] On explainability of graph neural networks via subgraph explorations

In: ReScience C, 9 (2023) 2, p. 41
Preprint
2023 Repository Open Access
Yelena Mandelshtam, Dmitrii Pavlov and Elizabeth Pratt

Combinatorics of \(m=1\) Grasstopes

inJournal
2023 Journal Open Access
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera and Simon Telen

Four lectures on Euler integrals

In: SciPost physics lecture notes, 2023 (2023), p. 75
Preprint
2023 Repository Open Access
Saiei-Jaeyeong Matsubara-Heo and Simon Telen

Twisted cohomology and likelihood ideals

inJournal
2023 Journal Open Access
Dmitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)
Preprint
2023 Repository Open Access
Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited