Explore the scholarly works of the "Nonlinear Algebra" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.
Marie-Charlotte Brandenburg, Georg Loho, Guido Montúfar and Hanna Tseran
Separating points by pieceweise linear functions : the real tropical geometry of neural networks [In: Discrete geometry ; 21 January - 26 January 2024 ; report no. 3/2024]
Semimartingales with values in a (pre-)Frobenius manifolds [In: Mini-workshop : Combinatorial and algebraic structures in rough analysis and related fields ; 26 November - 2 December 2023 ; report no. 54/2023]
In: Oberwolfach reports, 20 (2023) 4, pp. 3080-3083
Tobias Boege, René Fritze, Christiane Görgen, Jeroen Hanselman, Dorothea Iglezakis, Lars Kastner, Thomas Koprucki, Tabea Krause, Christoph Lehrenfeld, Silvia Polla, Marco Reidelbach, Christian Riedel, Jens Saak, Björn Schembera, Karsten Tabelow and Marcus Weber
Research-data management planning in the German mathematical community
Correction to: 'Gaussoids are two-antecedental approximations of Gaussian conditional independence structures' [In: Annals of mathematics and artificial intelligence, 90 (2022) 6, p. 645-673]
In: Annals of mathematics and artificial intelligence, 90 (2022) 6, pp. 675-676
Max von Renesse, Tobias Lehmann, Alexander Sambale and André Uschmajew
On overrelaxation in the Sinkhorn algorithm [In: Applications of optimal transportation in the natural sciences ; 21 February - 27 February 2021 ; report no. 10/2021]
Verifying Terao's freeness conjecture for small arrangements in arbitrary characteristic [In: Logarithmic vector fields and freeness of divisors and arrangements : new perspectives and applications ; 24 January - 30 January 2021 ; 5/2021]
Martin Vodička, Laurent Manivel, Mateusz Michałek, Leonid Monin and Tim Seynnaeve
Complete quadrics and linear spaces of symmetric matrices [In: Lefschetz properties in algebra, geometry and combinatorics ; 27 September - 3 October 2020 ; report no. 31/2020]
In: Oberwolfach reports, 17 (2020) 4, pp. 1577-1579
Can local cohomology prevent injections? [In: Singularities and homological aspects of commutative algebra ; 10 February - 16 February 2019 ; report no. 6/2019]
Semistable reduction in characteristic zero [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2441-2442
Jose Alejandro Samper, Federico Castillo and Jeremy Martin
The Hopf monoid of ordered matroids and shuffles [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2408-2409
Hyperbolicity in higher codimension [In: Real algebraic geometry with a view toward moment problems and optimization ; 5 March - 11 March 2017 ; report no. 14/2017]
Reciprocal linear spaces and their Chow forms [In: Real algebraic geometry with a view toward moment problems and optimization ; 5 March - 11 March 2017 ; report no. 14/2017]
In: ISSAC '26 : 51st international symposium on symbolic and algebraic computation ; Oldenburg, Germany July 13 - 17, 2026 / Christoph Koutschan... (eds.) New York : Association for Computing Machinery, 2026. - pp. 388-396
In: Combinatorial, computational, and applied algebraic geometry : a tribute to Bernd Sturmfels / Serkan Hoşten... (eds.) Providence, RI : American Mathematical Society, 2025. (Proceedings of symposia in pure mathematics ; 111)
Computational complexity of polynomial subalgebras
In: ISSAC '25 : proceedings of the 2025 international symposium on symbolic and algebraic computation / Carlos D’Andrea... (eds.) New York, NY : ACM, 2025. - pp. 337 - 344
In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.) Cham : Springer, 2025. - pp. 473-491 (Algorithms and computation in mathematics ; 32)
In: Combinatorial, computational, and applied algebraic geometry : a tribute to Bernd Sturmfels / Serkan Hoşten... (eds.) Providence, RI : American Mathematical Society, 2025. (Proceedings of symposia in pure mathematics ; 111)
In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.) Cham : Springer, 2025. - pp. 139-164 (Algorithms and computation in mathematics ; 32)
In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.) Cham : Springer, 2025. - pp. 429-450 (Algorithms and computation in mathematics ; 32)
In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.) Cham : Springer, 2025. - pp. 3-17 (Algorithms and computation in mathematics ; 32)
Frederik Garbe, Daniel Král', Alexandru Malekshahian and Raúl Penaguiao
The dimension of the feasible region of pattern densities
In: Proceedings of the 12th European conference on combinatorics, graph theory and applications : EUROCOMB’23, Prague, August 28 - September 1, 2023 / Kráľ... (eds.) Brno : Masaryk University, 2023. - pp. 471-477
In: Proceedings of the international congress of mathematicians 2022 July 6-14 : Volume 4 / Dmitry Beliaev... (eds.) Berlin : European Mathematical Society, 2023. - pp. 4820-4840
In: Essays in geometry : dedicated to Norbert A'Campo / Athanase Papadopoulos (ed.) Berlin : EMS Press, 2023. - pp. 761-780 (IRMA lectures in mathematics and theoretical physics ; 34)
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.) Cham : Springer, 2023. - pp. 455-464 (Lecture notes in computer science ; 14071)
Marc Härkönen, Markus Lange-Hegermann and Bogdan Raiţă
Gaussian process priors for systems of linear partial differential equations with constant coefficients
In: Proceedings of the 40th international conference on machine learning : , 23-29 July 2023, Honolulu, Hawaii, USA [s. l.] : PMLR, 2023. - pp. 12587-12615 (Proceedings of machine learning research ; 202)
Dominic Bunnett, Michael Joswig and Julian Pfeifle
Generalised cone complexes and tropical moduli in \(\texttt{polymake}\)
In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.) New York : ACM, 2023. - pp. 100-106
In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.) New York : ACM, 2023. - pp. 53-60
Poisson geometry of the statistical Frobenius manifold
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part II / Frank Nielsen... (eds.) Cham : Springer, 2023. - pp. 165-172 (Lecture notes in computer science ; 14072)
In: Integer programming and combinatorial optimization : 24th International Conference, IPCO 2023, Madison, WI, USA, June 21-23, 2023, proceedings / Alberto Del Pia... (eds.) Cham : Springer, 2023. - pp. 231-245 (Lecture notes in computer science ; 13904)
Eliana Duarte, Benjamin Hollering and Maximilian Wiesmann
Toric fiber products in geometric modeling
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.) Cham : Springer, 2023. - pp. 494-503 (Lecture notes in computer science ; 14071)
Algebraic properties of the information geometry's fourth Frobenius manifold
In: Advances in information and communication : proceedings of the 2022 future of information and communication conference (FICC), volume 1 / Kohei Arai (ed.) Cham : Springer, 2022. - pp. 356-370 (Lecture notes in networks and systems ; 438)
Amanda Cameron, Rodica Dinu, Mateusz Michałek and Tim Seynnaeve
Flag matroids : algebra and geometry
In: Interactions with lattice polytopes : Magdeburg, Germany, September 2017 / Alexander M. Kasprzyk... (eds.) Cham : Springer, 2022. - pp. 73-114 (Springer proceedings in mathematics and statistics ; 386)
In: ISSAC '22 proceedings of the international symposium on symbolic and algebraic computation ; Villeneuve-d'Ascq, France ; July 4 - 7, 2022 New York : ACM, 2022. - pp. 263-271
Daniele Agostini, Türkü Özlüm Celik and Demir Eken
Numerical reconstruction of curves from their Jacobians
In: Arithmetic, geometry, cryptography, and coding theory 2021 : 18th international conference ; May 31-June 4, 2021 Centre International de Rencontres Mathématiques, Marseille, France / Samuele Anni... (eds.) Providence, R.I. : American Mathematical Society, 2022. - pp. 1-12 (Contemporary mathematics ; 779)
Khazhgali Kozhasov, Mateusz Michałek and Bernd Sturmfels
Positivity certificates via integral representations
In: Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday ; Volume 2 / Paolo Aluffi... (eds.) Cambridge : Cambridge University Press, 2022. - pp. 84-114
Dessins for modular operads and the Grothendieck-Teichmüller group
In: Topology and geometry : a collection of essays dedicated to Vladimir G. Turaev / Athanase Papadopoulos (ed.) Berlin : European Mathematical Society, 2021. - pp. 537-560 (IRMA lectures in mathematics and theoretical physics ; 33)
Victoria Cantoral-Farfán, Alice Garbagnati, Cecilia Salgado, Antonela Trbović and Rosa Winter
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
In: Women in numbers Europe III : research directions in number theory / Alina Carmen Cojocaru... (eds.) Cham : Springer, 2021. - pp. 171-205 (Association for Women in Mathematics Series)
Frobenius statistical manifolds and geometric invariants
In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.) Cham : Springer, 2021. - pp. 565-573 (Lecture notes in computer science ; 12829)
In: Integrability, quantization, and geometry II. : Quantum theories and algebraic geometry ; dedicated to the memory of Boris Dubrovin 1950-2019 / Sergey Novikov... (eds.) Providence : American Mathematical Society, 2021. - pp. 101-109 (Proceedings of symposia in pure mathematics ; 103.2)
The braided group of a square-free solution of the Yang-Baxter equation and its group algebra
In: Advanced computing in industrial mathematics : 13th annual meeting of the Bulgarian section of SIAM, December 18-20, 2018, Sofia, Bulgaria, revised selected papers / Ivan Georgiev... (eds.) Cham : Springer, 2021. - pp. 182-197 (Studies in computational intelligence ; 961)
In: Art et mathématiques : modélisations mathématiques et transformations artistiques des données du réel / Yann Toma... (eds.) Paris : Editions Jannink, 2020. - pp. 80-87
Numerical equality tests for rational maps and signatures of curves
In: ISSAC '20 proceedings of the 45th international symposium on symbolic and algebraic computation ; Kalamata Greece, July 20-23, 2020 New York : ACM, 2020. - pp. 154-161
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams
Symmetric matrices, Catalan paths, and correlations
In: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4-8, 2016 Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - pp. 1135-1146 (DMTCS proceedings)
Seyedehsomayeh Hosseini, D. Russell Luke and André Uschmajew
Tangent and normal cones for low-rank matrices
In: Nonsmooth optimization and its applications : based on the workshop 'Nonsmooth optimization and its Applications', Bonn, Germany, May 15-19, 2017 / Seyedehsomayeh Hosseini... (eds.) Cham : Springer Birkhäuser, 2019. - pp. 45-53 (International series of numerical mathematics ; 170)
Jonathan Hauenstein, Avinash Kulkarni, Emre Can Sertöz and Samantha Sherman
Certifying reality of projections
In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.) Cham : Springer, 2018. - pp. 200-208 (Lecture notes in computer science ; 10931)
HomotopyContinuation.jl : a package for homotopy continuation in Julia
In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.) Cham : Springer, 2018. - pp. 458-465 (Lecture notes in computer science ; 10931)
Jarosław Buczyński, Mateusz Michałek and Elisa Postinghel
Introduction to 'Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume'
In: Schubert varieties, equivariant cohomology and characteristic classes : impanga 15 / Jarosław Buczyński... (eds.) Zürich : European Mathematical Society, 2018. - pp. 1-7 (EMS series of congress reports)
Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin and Bernd Sturmfels
Real space sextics and their tritangents
In: ISSAC '18 proceedings of the 43rd international symposium on symbolic and algebraic computation ; New York, USA, July 16-19, 2018 New York : ACM, 2018. - pp. 247-254
In: The 50th anniversary of Gröbner bases : proceedings of the 8th Mathematical Society of Japan Seasonal Institute (MSJ SI 2015) : July 1-10, 2015, at Hotel Nikko Osaka / Takayuki Hibi (ed.) Tokyo : Mathematical Society of Japan, 2018. - pp. 207-252 (Advanced studies in pure mathematics ; 77)
Lara Bossinger, Sara Lamboglia, Kalina Mincheva and Fatemeh Mohammadi
Computing toric degenerations of flag varieties
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 247-281 (Fields Institute communications ; 80)
Barbara Bolognese, Corey Harris and Joachim Jelisiejew
Equations and tropicalization of Enriques surfaces
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 181-200 (Fields Institute communications ; 80)
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 1-19 (Fields Institute communications ; 80)
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 21-45 (Fields Institute communications ; 80)
Madeline Brandt, Juliette Bruce, Taylor Brysiewicz, Robert Krone and Elina Robeva
The degree of \(\text{SO}(n, \mathbb{C})\)
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 229-246 (Fields Institute communications ; 80)
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 353-368 (Fields Institute communications ; 80)
Tritangent planes to space sextics : the algebraic and tropical stories
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.) New York : Springer, 2017. - pp. 47-63 (Fields Institute communications ; 80)
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg, Clara Briand, Veronica Calvo Cortes, Shelby Cox, Jesús A. De Loera, Danai Deligeorgaki, Hannah Friedman, Tim Gehrunger, Chiara Giardino, Stephen Griffeth, Baran Hashemi, Elena Hoster, Alexander Ivanov, Nupur Jain, Aryaman Jal, Leonie Kayser, Joris Koefler, Kevin Kühn, Mario Kummer, Felix Lotter, René Marczinzik, Victor S. Miller, Alejandro H. Morales, Greta Panova, Gianni Petrella, Nathan Pflueger, Lakshmi Ramesh, Nikolas Rieke, Carlos Rodriguez, Andrea Rosana, Flavio Salizzoni, Otto T. P. Schmidt, Sven Ulf Schmitz, Lina Maria Simbaqueba Marin, Luca Sodomaco, Christian Stump, Bernd Sturmfels, Alexander Taveira Blomenhofer, Simon Telen, Philipp Tuchel, Emil Verkama, Carl Felix Waller, Julian Weigert, Annette Werner, Nathan Williams and Claudius Zibrowius
Benchmarks in Leipzig : a collection of questions in research-level mathematics
The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations