Research group in Nonlinear Algebra

Head:
Bernd Sturmfels

Contact: Email
Phone:
+49 (0) 341 - 9959 - 750

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Saskia Gutzschebauch
Email, Phone/Fax:
+49 (0) 341 - 9959
- 752
- 658

Institute publications of the group

M. Wrobel: Divisor class groups of rational trinomial varieties. Journal of algebra, 542 (2020), p. 43-64 Bibtex MIS-Preprint: 61/2018 [DOI] [ARXIV] Green Open Access

P. Breiding ; B. Sturmfels and S. Timme: 3264 conics in a second. Bibtex MIS-Preprint: 24/2019 [ARXIV] Green Open Access

L. Brustenga i Moncusí ; S. Timme and M. Weinstein: 96120 : The degree of the linear orbit of a cubic surface. Bibtex [ARXIV] Green Open Access

T. O. Celik: A Thomae-like formula : algebraic computations of theta constants. International mathematics research notices, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 11/2019 [ARXIV] Gold Open Access

E. C. Sertöz: A compactification of the moduli space of multiple-spin curves. Bibtex [ARXIV] Green Open Access

X. Liu: A counterexample to the extension space conjecture for realizable oriented matroids. The journal of the London Mathematical Society, Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Green Open Access

L. Venturello and H. Zheng: A new family of triangulations of \(\mathbb{R}P^d\). Bibtex MIS-Preprint: 95/2019 [ARXIV] Green Open Access

M. Michałek ; T. Seynnaeve and F. Verstraete: A tensor version of the quantum Wielandt theorem. SIAM journal on matrix analysis and applications, 40 (2019) 3, p. 1125-1130 Bibtex MIS-Preprint: 96/2018 [DOI] [ARXIV] Gold Open Access

M. Brandt and A. Geiger: A tropical count of binodal cubic surfaces. Bibtex [ARXIV] Green Open Access

S. Timme: Adaptive step size control for polynomial homotopy continuation methods. Bibtex MIS-Preprint: 23/2019 [ARXIV] Green Open Access

B. Sturmfels: Adventures in mentoring. Notices of the American Mathematical Society, 66 (2019) 8, p. 1300-1302 Bibtex [FREELINK] Gold Open Access

N. Kaihnsa: Algebraic methods for dynamical systems and optimisation. Dissertation, Univeristät Leipzig, 2019 Bibtex [FREELINK] Green Open Access

T. Gateva-Ivanova: Algebras defined by Lyndon words and Artin-Schelter regularity. Bibtex [ARXIV] Green Open Access

A. Heaton and I. Shankar: An SOS counterexample to an inequality of symmetric functions. Bibtex MIS-Preprint: 86/2019 [ARXIV] Green Open Access

M. Panizzut ; E. C. Sertöz and B. Sturmfels: An octanomial model for cubic surfaces. Bibtex [ARXIV] Green Open Access

A. Higashitani ; K. Jochemko and M. Michałek: Arithmetic aspects of symmetric edge polytopes. Mathematika : a journal of pure and applied mathematics, 65 (2019) 3, p. 763-784 Bibtex MIS-Preprint: 59/2018 [DOI] [ARXIV] Green Open Access

L. Lim ; M. Michałek and Y. Qi: Best k-layer neural network approximations. Bibtex MIS-Preprint: 55/2019 [ARXIV] Green Open Access

L. Bossinger: Birational sequences and the tropical Grassmannian. Bibtex [ARXIV] Green Open Access

B. Sturmfels ; C. Uhler and P. Zwiernik: Brownian motion tree models are toric. Bibtex MIS-Preprint: 26/2019 [ARXIV] Green Open Access

A. Agrachev ; K. Kozhasov and A. Uschmajew: Chebyshev polynomials and best rank-one approximation ratio. Bibtex MIS-Preprint: 34/2019 [ARXIV] Green Open Access

J. Jost and R. Mulas: Cheeger-like inequalities for the largest eigenvalue of the graph Laplace operator. Bibtex [ARXIV] Green Open Access

F. Galuppi: Collisions of fat points and applications to interpolation theory. Journal of algebra, 534 (2019), p. 100-128 Bibtex [DOI] [ARXIV] Green Open Access

Y. Qi ; M. Michałek and L. Lim: Complex best r-term approximations almost always exist in finite dimensions. Applied and computational harmonic analysis, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 79/2017 [DOI] [ARXIV] Green Open Access

E. C. Sertöz: Computing periods of hypersurfaces. Mathematics of computation, 88 (2019) 320, p. 2987-3022 Bibtex MIS-Preprint: 27/2018 [DOI] [ARXIV] Green Open Access

D. Agostini and L. Chua: Computing theta functions with Julia. Bibtex [ARXIV] Green Open Access

P. Görlach ; Y. Ren and L. Zhang: Computing zero-dimensional tropical varieties via projections. Bibtex MIS-Preprint: 79/2019 [ARXIV] Green Open Access

M. Sorea: Constructing separable Arnold snakes of morse polynomials. Bibtex MIS-Preprint: 37/2019 [ARXIV] Green Open Access

N. Kaihnsa ; Y. Ren ; M. Safey El Din and J. W. R. Martini: Cooperativity, absolute interaction, and algebraic optimization. Bibtex MIS-Preprint: 57/2019 [ARXIV] Green Open Access

H. Keneshlou: Cubic surfaces on the singular locus of the Eckardt hypersurface. Bibtex [ARXIV] Green Open Access

A. Sattelberger and B. Sturmfels: D-modules and holonomic functions. Bibtex [ARXIV] Green Open Access

Y. Ren ; J. W. R. Martini and J. Torres: Decoupled molecules with binding polynomials of bidegree \((n,2)\). Journal of mathematical biology, 78 (2019) 4, p. 879-898 Bibtex MIS-Preprint: 75/2017 [DOI] [ARXIV] Gold Open Access

D. Bunnett and H. Keneshlou: Determinantal representations of the cubic discriminant. Bibtex [ARXIV] Green Open Access

D. Agostini and C. Améndola: Discrete Gaussian distributions via theta functions. SIAM journal on applied algebra and geometry, 3 (2019) 1, p. 1-30 Bibtex [DOI] [ARXIV] Green Open Access

E. Duarte ; O. Marigliano and B. Sturmfels: Discrete statistical models with rational maximum likelihood estimator. Bibtex MIS-Preprint: 29/2019 [ARXIV] Green Open Access

C. Görgen and E. Duarte: Equations defining probability tree models. Journal of symbolic computation, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 21/2018 [DOI] [ARXIV] Green Open Access

B. Sturmfels ; S. Timme and P. Zwiernik: Estimating linear covariance models with numerical nonlinear algebra. Bibtex [ARXIV] Green Open Access

L. Bossinger: Full rank valuations and toric initial ideals. Bibtex [ARXIV] Green Open Access

S. Kališnik Verovšek ; C. Lehn and V. Limic: Geometric and probabilistic limit theorems in topological data analysis. Bibtex MIS-Preprint: 27/2019 [ARXIV] Green Open Access

E. Robeva ; B. Sturmfels and C. Uhler: Geometry of log-concave density estimation. Discrete and computational geometry, 61 (2019) 1, p. 136-160 Bibtex MIS-Preprint: 32/2017 [DOI] [ARXIV] Green Open Access

M. Lasoń ; T. Hibi ; K. Matsuda ; M. Michałek and M. Vodička: Gorenstein graphic matroids. Bibtex [ARXIV] Green Open Access

L. Ananiadi and E. Duarte: Gröbner bases for staged trees. Bibtex MIS-Preprint: 94/2019 [ARXIV] Green Open Access

J. Jost and R. Mulas: Hypergraph Laplace operators for chemical reaction networks. Advances in mathematics, 351 (2019), p. 870-896 Bibtex [DOI] [ARXIV] Green Open Access

E. Duarte and A. Seceleanu: Implicitization of tensor product surfaces via virtual projective resolutions. Bibtex MIS-Preprint: 65/2019 [ARXIV] Green Open Access

P. Görlach: Injection dimensions of projective varieties. Bibtex MIS-Preprint: 40/2019 [ARXIV] Green Open Access

J. Diehl and J. Reizenstein: Invariants of multidimensional time series based on their iterated-integral signature. Acta applicandae mathematicae, 164 (2019) 1, p. 83-122 Bibtex [DOI] [ARXIV] Gold Open Access

M. Pfeffer ; A. Seigal and B. Sturmfels: Learning paths from signature tensors. SIAM journal on matrix analysis and applications, 40 (2019) 2, p. 394-416 Bibtex MIS-Preprint: 78/2018 [DOI] [ARXIV] Green Open Access

A. D'Ali ; E. Delucchi and M. Michałek: Many faces of symmetric edge polytopes. Bibtex [ARXIV] Green Open Access

J. I. Coons ; O. Marigliano and M. Ruddy: Maximum likelihood degree of the small linear Gaussian covariance model. Bibtex [ARXIV] Green Open Access

M. Sorea: Measuring the local non-convexity of real algebraic curves. Bibtex MIS-Preprint: 56/2019 [ARXIV] Green Open Access

D. Agostini ; C. Améndola and K. Ranestad: Moment identifiability of homoscedastic Gaussian mixtures. Bibtex [ARXIV] Green Open Access

Y. Cid-Ruiz and V. Mukundan: Multiplicity of the saturated special fiber ring of height three Gorenstein ideals. Bibtex MIS-Preprint: 91/2019 [ARXIV] Green Open Access

Y. Cid-Ruiz: Noetherian operators, primary submodules and symbolic powers. Bibtex MIS-Preprint: 89/2019 [ARXIV] Green Open Access

E. Brugallé ; G. Mikhalkin ; J. Risler and K. Shaw: Nonexistence of torically maximal hypersurfaces. St. Petersburg mathematical journal, 30 (2019) 1, p. 15-23 Bibtex [DOI] [ARXIV] Green Open Access

A. Heaton: Nonlinear algebra via tensegrity structures. Bibtex MIS-Preprint: 85/2019 [ARXIV] Green Open Access

H. Movasati and E. C. Sertöz: On reconstructing subvarieties from their periods. Bibtex [ARXIV] Green Open Access

D. Agostini and L. Chua: On the Schottky problem for genus fiveJacobians with a vanishing theta null. Bibtex [ARXIV] Green Open Access

P. Breiding and N. Vannieuwenhoven: On the average condition number of tensor rank decompositions. IMA journal of numerical analysis, Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Green Open Access

M. Kummer: On the connectivity of the hyperbolicity region of irreducible polynomials. Advances in geometry, 19 (2019) 2, p. 231-233 Bibtex MIS-Preprint: 28/2017 [DOI] [ARXIV] Green Open Access

T. O. Celik ; F. Galuppi ; A. Kulkarni and M. Sorea: On the eigenpoints of cubic surfaces. Bibtex [ARXIV] Green Open Access

T. O. Celik ; A. Jamneshan ; G. Montúfar ; B. Sturmfels and L. Venturello: Optimal transport to a variety. Bibtex [ARXIV] [FREELINK] Green Open Access

C. Beltrán ; P. Breiding and N. Vannieuwenhoven: Pencil-based algorithms for tensor rank decomposition are not stable. SIAM journal on matrix analysis and applications, 40 (2019) 2, p. 739-773 Bibtex MIS-Preprint: 48/2018 [DOI] [ARXIV] Green Open Access

M. Sorea: Permutations encoding the local shape of level curves of real polynomials via generic projections. Bibtex MIS-Preprint: 98/2019 [ARXIV] Green Open Access

M. Michałek and E. Ventura: Phylogenetic complexity of the Kimura 3-parameter model. Advances in mathematics, 343 (2019), p. 640-680 Bibtex MIS-Preprint: 27/2017 [DOI] [ARXIV] Green Open Access

K. Kozhasov ; M. Michałek and B. Sturmfels: Positivity certificates via integral representations. Bibtex MIS-Preprint: 66/2019 [ARXIV] Green Open Access

P. Breiding ; H. Keneshlou and A. Lerario: Quantitative singularity theory for random polynomials. Bibtex [ARXIV] Green Open Access

M. Michałek and Y. Shitov: Quantum version of Wielandt's inequality revisited. IEEE transactions on information theory, 65 (2019) 8, p. 5239-5242 Bibtex MIS-Preprint: 79/2018 [DOI] [ARXIV] Green Open Access

A. Lerario and R. Mulas: Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit. Bibtex [ARXIV] Green Open Access

P. Görlach ; E. Hubert and T. Papadopoulo: Rational invariants of even ternary forms under the orthogonal group. Foundations of computational mathematics, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 45/2017 [DOI] [ARXIV] Green Open Access

E. Ventura: Real rank boundaries and loci of forms. Linear and multilinear algebra, 67 (2019) 7, p. 1404-1419 Bibtex [DOI] [ARXIV] Green Open Access

L. Chua ; M. Kummer and B. Sturmfels: Schottky algorithms : classical meets tropical. Mathematics of computation, 88 (2019) 319, p. 2541-2558 Bibtex MIS-Preprint: 42/2017 [DOI] [ARXIV] Green Open Access

M. A. Khadam ; M. Michałek and P. Zwiernik: Secant varieties of toric varieties arising from simplicial complexes. Bibtex MIS-Preprint: 81/2019 [ARXIV] Green Open Access

Y. Jiang and W. Han: Singularities and genus of the k-ellipse. Bibtex [ARXIV] Green Open Access

N. Kaihnsa ; M. Kummer ; D. Plaumann ; M. Sayyary Namin and B. Sturmfels: Sixty-four curves of degree six. Experimental mathematics, 28 (2019) 2, p. 132-150 Bibtex MIS-Preprint: 23/2017 [DOI] [ARXIV] Green Open Access

M. Beck ; C. Haase ; A. Higashitani ; J. Hofscheier ; K. Jochemko ; L. Katthaen and M. Michałek: Smooth centrally symmetric polytopes in dimension 3 are IDP. Annals of combinatorics, 23 (2019) 2, p. 255-262 Bibtex MIS-Preprint: 18/2018 [DOI] [ARXIV] Green Open Access

A. Kulkarni: Solving p-adic polynomial systems via iterative eigenvector algorithms. Bibtex MIS-Preprint: 54/2019 [ARXIV] Green Open Access

J. Jost ; R. Mulas and F. Münch: Spectral gap of the largest eigenvalue of the normalized graph Laplacian. Bibtex [ARXIV] Green Open Access

Y. El Maazouz and N. M. Tran: Statistics of Gaussians on local fields and their tropicalizations. Bibtex [ARXIV] Green Open Access

S. Kališnik Verovšek and D. Lešnik: Symmetric polynomials in tropical algebra semirings. Journal of symbolic computation, 93 (2019), p. 100-119 Bibtex [DOI] [ARXIV] Green Open Access

R. Dinu and T. Seynnaeve: The Hessian discriminant. Le Matematiche, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 88/2019 [ARXIV] Green Open Access

M. Joswig ; M. Panizzut and B. Sturmfels: The Schläfli fan. Bibtex MIS-Preprint: 41/2019 [ARXIV] Green Open Access

C. Beltrán ; P. Breiding and N. Vannieuwenhoven: The average condition number of most tensor rank decomposition problems is infinite. Bibtex MIS-Preprint: 30/2019 [ARXIV] Green Open Access

T. Gateva-Ivanova: The braided group of a square-free solution of the Yang-Baxter equation and its group algebra. Bibtex [ARXIV] Green Open Access

T. Boege ; A. D'Ali ; T. Kahle and B. Sturmfels: The geometry of Gaussoids. Foundations of computational mathematics, 19 (2019) 4, p. 775-812 Bibtex MIS-Preprint: 70/2017 [DOI] [ARXIV] Green Open Access

D. Cifuentes ; C. Harris and B. Sturmfels: The geometry of SDP-exactness in quadratic optimization. Mathematical programming, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 28/2018 [DOI] [ARXIV] Gold Open Access

J. I. Coons and S. Sullivant: The \(\mathscr h^*\)-polynomial of the order polytope of the zig-zag poset. Bibtex MIS-Preprint: 10/2019 [ARXIV] Green Open Access

A. Dahlqvist ; J. Diehl and B. Driver: The parabolic Anderson model on Riemann surfaces. Probability theory and related fields, 174 (2019) 1-2, p. 369-444 Bibtex [DOI] [ARXIV] Gold Open Access

C. Beltrán and K. Kozhasov: The real polynomial eigenvalue problem is well conditioned on the average. Foundations of computational mathematics, Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Gold Open Access

F. Galuppi: The rough Veronese variety. Linear algebra and its applications, 583 (2019), p. 282-299 Bibtex MIS-Preprint: 91/2018 [DOI] [ARXIV] Green Open Access

L. Colmenarejo ; F. Galuppi and M. Michałek: Toric geometry of path signature varieties. Bibtex MIS-Preprint: 28/2019 [ARXIV] Green Open Access

M. Donten-Bury ; P. Görlach and M. Wrobel: Towards classifying toric degenerations of cubic surfaces. Bibtex MIS-Preprint: 90/2019 [ARXIV] Green Open Access

T. O. Celik ; A. Kulkarni ; Y. Ren and M. Sayyary Namin: Tritangents and their space sextics. Journal of algebra, 538 (2019), p. 290-311 Bibtex MIS-Preprint: 39/2018 [DOI] [ARXIV] Green Open Access

S. Kališnik Verovšek: Tropical coordinates on the space of persistence barcodes. Foundations of computational mathematics, 19 (2019) 1, p. 101-129 Bibtex [DOI] [ARXIV] Gold Open Access

A. Czapliński ; M. Michałek and T. Seynnaeve: Uniform matrix product states from an algebraic geometer's point of view. Bibtex MIS-Preprint: 38/2019 [ARXIV] Green Open Access

C. Améndola ; P. Friz and B. Sturmfels: Varieties of signature tensors. Forum of mathematics / Sigma, 7 (2019), e10 Bibtex MIS-Preprint: 33/2018 [DOI] [ARXIV] Gold Open Access

O. Marigliano: Verlinde bundles of families of hypersurfaces and their jumping lines. Beiträge zur Algebra und Geometrie, 60 (2019) 3, p. 437-444 Bibtex MIS-Preprint: 34/2018 [DOI] [ARXIV] Gold Open Access

M. Brandt and M. Weinstein: Voronoi cells in metric algebraic geometry of plane curves. Bibtex MIS-Preprint: 44/2019 [ARXIV] Green Open Access

A. Kulkarni and A. Lerario: \(p\)-adic integral geometry. SIAM journal on applied algebra and geometry, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 84/2019 [ARXIV] Green Open Access

P. Breiding and N. Vannieuwenhoven: A Riemannian trust region method for the canonical tensor rank approximation problem. SIAM journal on optimization, 28 (2018) 3, p. 2435-2465 Bibtex [DOI] [ARXIV] Green Open Access

P. Lairez and E. C. Sertöz: A numerical transcendental method in algebraic geometry. SIAM journal on applied algebra and geometry, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 100/2018 [ARXIV] [FREELINK] Green Open Access

X. Liu: A zonotope and a product of two simplices with disconnected flip graphs. Discrete and computational geometry, 59 (2018) 4, p. 810-842 Bibtex [DOI] [ARXIV] Gold Open Access

C. Améndola ; K. Ranestad and B. Sturmfels: Algebraic identifiability of Gaussian mixtures. International mathematics research notices, 2018 (2018) 21, p. 6556-6580 Bibtex MIS-Preprint: 76/2016 [DOI] [ARXIV] Green Open Access

F. Arici ; F. D'Andrea ; P. M. Hajac and M. Tobolski: An equivariant pullback structure of trimmable graph C*-algebras. Bibtex MIS-Preprint: 80/2018 [ARXIV] Green Open Access

F. Arici ; P. M. Hajac and M. Tobolski: Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces. Bibtex MIS-Preprint: 92/2018 [ARXIV] Green Open Access

N. Kaihnsa: Attainable regions of dynamical systems. Bibtex MIS-Preprint: 22/2018 [ARXIV] Green Open Access

J. Hauenstein ; A. Kulkarni ; E. C. Sertöz and S. Sherman: Certifying reality of projections. Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / J. Davenport... (eds.). Springer, 2018. - P. 200-208 (Lecture notes in computer science ; 10931) Bibtex MIS-Preprint: 31/2018 [DOI] [ARXIV] Green Open Access

R. A. Collazo ; C. Görgen and J. Q. Smith: Chain event graphs. CRC Press, 2018. - XX, 233 p. (Chapman and Hall/CRC computer science and data analysis) ISBN 978-1-4987-2960-4 Bibtex [DOI]

K. Kohn ; B. Sturmfels and M. Trager: Changing views on curves and surfaces. Acta mathematica Vietnamica, 43 (2018) 1, p. 1-29 Bibtex MIS-Preprint: 39/2017 [DOI] [ARXIV] Green Open Access

P. De Poi ; E. Mezzetti ; M. Michałek ; R. M. Miró-Roig and E. Nevo: Circulant matrices and Galois-Togliatti systems. Bibtex MIS-Preprint: 74/2018 [ARXIV] Green Open Access

L. Zhang: Computing convex hulls in the affine building of \(SL_d\). Bibtex MIS-Preprint: 99/2018 [ARXIV] Green Open Access

A. Löhne ; D. Ciripoi ; N. Kaihnsa and B. Sturmfels: Computing convex hulls of trajectories. Bibtex MIS-Preprint: 89/2018 [ARXIV] Green Open Access

C. Harris ; M. Michałek and E. C. Sertöz: Computing images of polynomial maps. Bibtex MIS-Preprint: 2/2018 [ARXIV] Green Open Access

T. Hofmann and Y. Ren: Computing tropical points and tropical links. Discrete and computational geometry, 60 (2018) 3, p. 627-645 Bibtex [DOI] [ARXIV] Gold Open Access

J. Chen ; S. Vemulapalli and L. Zhang: Computing unit groups of curves. Bibtex MIS-Preprint: 62/2018 [ARXIV] Green Open Access

P. Breiding and N. Vannieuwenhoven: Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number. Applied mathematics letters, 78 (2018), p. 42-50 Bibtex MIS-Preprint: 69/2017 [DOI] [ARXIV] Green Open Access

P. Dey ; P. Görlach and N. Kaihnsa: Coordinate-wise powers of algebraic varieties. Bibtex MIS-Preprint: 46/2018 [ARXIV] Green Open Access

P. Görlach ; Y. Ren and J. Sommars: Detecting tropical defects of polynomial equations. Bibtex [ARXIV] Green Open Access

C. Görgen ; A. M. Bigatti ; E. Riccomagno and J. Q. Smith: Discovery of statistical equivalence classes using computer algebra. International journal of approximate reasoning, 95 (2018), p. 167-184 Bibtex MIS-Preprint: 33/2017 [DOI] [ARXIV] Green Open Access

A. Cameron ; R. Dinu ; M. Michałek and T. Seynnaeve: Flag matroids : algebra and geometry. Bibtex MIS-Preprint: 93/2018 [ARXIV] Green Open Access

M. Michałek ; A. Perepechko and H. Süß: Flexible affine cones and flexible coverings. Mathematische Zeitschrift, 290 (2018) 3-4, p. 1457-1478 Bibtex [DOI] [ARXIV] Gold Open Access

P. Breiding and S. Timme: HomotopyContinuation.jl : a package for solving systems of polynomial equations in Julia. Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / J. Davenport... (eds.). Springer, 2018. - P. 458-465 (Lecture notes in computer science ; 10931) Bibtex MIS-Preprint: 1/2018 [DOI] [ARXIV] Green Open Access

J. Buczyński ; M. Michałek and E. Postinghel: Introduction to 'Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume'. Schubert varieties, equivariant cohomology and characteristic classes : impanga 15 / J. Buczyński... (eds.). European Mathematical Society, 2018. - P. 1-7 (EMS series of congress reports) Bibtex [DOI]

G. Baletti ; B. Sturmfels and M. Panizzut: K3 polytopes and their quartic surfaces. Bibtex MIS-Preprint: 40/2018 [ARXIV] Green Open Access

N. Ilten and M. Wrobel: Khovanskii-Finite valuations, rational curves, and torus actions. Bibtex MIS-Preprint: 60/2018 [ARXIV] Green Open Access

P. Breiding ; S. Kališnik Verovšek ; B. Sturmfels and M. Weinstein: Learning algebraic varieties from samples. Revista matematica complutense, 31 (2018) 3, p. 545-593 Bibtex MIS-Preprint: 23/2018 [DOI] [ARXIV] Gold Open Access

K. Adiprasito ; X. Liu ; I. Pak and M. Temkin: Log smoothness and polystability over valuation rings. Bibtex MIS-Preprint: 44/2018 [ARXIV] Green Open Access

N. Otter: Magnitude meets persistence : homology theories for filtered simplicial sets. Bibtex [ARXIV] Green Open Access

E. Robeva ; B. Sturmfels ; N. M. Tran and C. Uhler: Maximum likelihood estimation for totally positive log-concave densities. Bibtex MIS-Preprint: 42/2018 [ARXIV] Green Open Access

A. Seigal and G. Montúfar: Mixtures and products in two graphical models. Journal of algebraic statistics, 9 (2018) 1, p. 1-20 Bibtex [DOI] [ARXIV] Gold Open Access

C. Görgen and M. Leonelli: Model-preserving sensitivity analysis for families of Gaussian distributions. Journal of machine learning research, Vol. not yet known, pp. not yet known Bibtex [ARXIV] Green Open Access

K. Kohn ; B. Shapiro and B. Sturmfels: Moment varieties of measures on polytopes. Bibtex MIS-Preprint: 50/2018 [ARXIV] Green Open Access

E. Brugallé ; G. Mikhalkin ; J. Risler and K. Shaw: Nonexistence of torically maximal hypersurfaces. Algebra i analiz, 30 (2018) 1, p. 20-31 Bibtex [ARXIV] [FREELINK] Green Open Access

T. Kahle and M. Michałek: Obstructions to combinatorial formulas for plethysm. The electronic journal of combinatorics, 25 (2018) 1, P1.41 Bibtex [ARXIV] [FREELINK] Gold Open Access

E. Horobet and M. Weinstein: Offset hypersurfaces and persistent homology of algebraic varieties. Bibtex MIS-Preprint: 26/2018 [ARXIV] Green Open Access

C. Hische and M. Wrobel: On the anticanonical complex. Bibtex [ARXIV] Green Open Access

P. Breiding ; K. Kozhasov and A. Lerario: On the geometry of the set of symmetric matrices with repeated eigenvalues. Arnold mathematical journal, 4 (2018) 3-4, p. 423-443 Bibtex MIS-Preprint: 49/2018 [DOI] [ARXIV] Gold Open Access

#. Farnik ; F. Galuppi ; L. Sodomaco and W. Trok: On the unique unexpected quartic in \(\mathbb{P}^2\). Journal of algebraic combinatorics, Vol. not yet known, pp. not yet known Bibtex [ARXIV] Green Open Access

T. Seynnaeve: Plethysm and fast matrix multiplication. Comptes rendus mathematique, 356 (2018) 1, p. 52-55 Bibtex MIS-Preprint: 67/2017 [DOI] [ARXIV] Green Open Access

N. Bruin and E. C. Sertöz: Prym varieties of genus four curves. Bibtex MIS-Preprint: 72/2018 [ARXIV] Green Open Access

P. Breiding and O. Marigliano: Random points on an algebraic manifold. Bibtex MIS-Preprint: 90/2018 [ARXIV] Green Open Access

A. Kulkarni ; Y. Ren ; M. Sayyary Namin and B. Sturmfels: Real space sextics and their tritangents. ISSAC '18 proceedings of the 43rd international symposium on symbolic and algebraic computation ; New York, USA, July 16-19, 2018 ACM, 2018. - P. 247-254 Bibtex MIS-Preprint: 81/2017 [DOI] [ARXIV] Green Open Access

J. Buczyński ; M. Michałek and E. Postinghel (eds.): Schubert varieties, equivariant cohomology and characteristic classes : impanga 15. European Mathematical Society, 2018 (EMS series of congress reports) ISBN 978-3-03719-182-8 Bibtex [DOI]

M. Michałek: Selected topics on toric varieties. 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 / T. Hibi (ed.). Mathematical Society of Japan, 2018. - P. 207-252 (Advanced studies in pure mathematics ; 77) Bibtex [ARXIV] Green Open Access

K. Adiprasito ; X. Liu and M. Temkin: Semistable reduction in characteristic 0. Bibtex [ARXIV] Green Open Access

M. Michałek and H. Moon: Spaces of sums of powers and real rank boundaries. Beiträge zur Algebra und Geometrie, 59 (2018) 4, p. 645-663 Bibtex MIS-Preprint: 9/2017 [DOI] [ARXIV] Gold Open Access

A. D'Ali and E. Delucchi: Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements. Bibtex MIS-Preprint: 32/2018 [ARXIV] Green Open Access

S. Kališnik Verovšek and D. Lešnik: Symmetric polynomials in upper-bound semirings. Bibtex MIS-Preprint: 12/2018 [ARXIV] Green Open Access

M. Michałek and B. Sturmfels: Tensoren und ihre Zerlegungen. Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften Bibtex [FREELINK] Green Open Access

P. Dey and D. Plaumann: Testing hyperbolicity of real polynomials. Bibtex [ARXIV] Green Open Access

C. Harris and D. Lowengrub: The Chern-Mather class of the multiview variety. Communications in algebra, 46 (2018) 6, p. 2488-2499 Bibtex [DOI] [ARXIV] Gold Open Access

P. Aluffi and C. Harris: The Euclidean distance degree of smooth complex projective varieties. Algebra and number theory, 12 (2018) 8, p. 2005-2032 Bibtex MIS-Preprint: 46/2017 [DOI] [ARXIV] Green Open Access

P. Breiding and N. Vannieuwenhoven: The condition number of join decompositions. SIAM journal on matrix analysis and applications, 39 (2018) 1, p. 287-309 Bibtex [DOI] [ARXIV] Green Open Access

J. Gubeladze and M. Michałek: The poset of rational cones. Pacific journal of mathematics, 292 (2018) 1, p. 103-115 Bibtex [DOI] [ARXIV] Green Open Access

L. Bossinger ; B. Frías-Medina ; T. Magee and A. N. Chávez: Toric degenerations of cluster varieties and cluster duality. Bibtex MIS-Preprint: 84/2018 [ARXIV] Green Open Access

P. Breiding and N. Vannieuwenhoven: Towards a condition number theorem for the tensor rank decomposition. Bibtex MIS-Preprint: 3/2018 [ARXIV] Green Open Access

M. A. Hahn ; H. Markwig ; Y. Ren and I. Tyomkin: Tropicalized quartics and canonical embeddings for tropical curves of genus 3. Bibtex MIS-Preprint: 20/2018 [ARXIV] Green Open Access

D. I. Bernstein ; G. Blekherman and R. Sinn: Typical and generic ranks in matrix completion. Bibtex [ARXIV] Green Open Access

D. Cifuentes ; K. Ranestad ; B. Sturmfels and M. Weinstein: Voronoi cells of varieties. Bibtex MIS-Preprint: 98/2018 [ARXIV] Green Open Access

L. Katthaen ; M. Michałek and E. Miller: When is a polynomial ideal binomial after an ambient automorphism?. Foundations of computational mathematics, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 36/2017 [DOI] [ARXIV] Gold Open Access

Z. Kukelova ; J. Kileel ; B. Sturmfels and T. Pajdla: A clever elimination strategy for efficient minimal solvers. 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / R. Chellappa... (eds.). IEEE, 2017. - P. 3605-3614 Bibtex [DOI] [ARXIV] Green Open Access

S. Kališnik Verovšek ; V. Kurlin and D. Lešnik: A higher-dimensional homologically persistent skeleton. Bibtex MIS-Preprint: 68/2017 [ARXIV] Green Open Access

R. Cavalieri ; M. Ulirsch ; M. Chan and J. Wise: A moduli stack of tropical curves. Bibtex MIS-Preprint: 44/2017 [ARXIV] Green Open Access

J. Diehl and J. Zhang: Backward stochastic differential equations with Young drift. Probability, uncertainty and quantitative risk, 2 (2017), 5 Bibtex [DOI] [ARXIV] Gold Open Access

L. Lopez de Medrano ; F. Rincon and K. Shaw: Chern-Schwartz-MacPherson cycles of matroids. Bibtex MIS-Preprint: 49/2017 [ARXIV] Green Open Access

A. Huszar ; S. Marcus and M. Ulirsch: Clutching and gluing in tropical and logarithmic geometry. Bibtex MIS-Preprint: 41/2017 [ARXIV] Green Open Access

G. G. Smith and B. Sturmfels (eds.): Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program. Springer, 2017. - VIII, 390 p. (Fields Institute communications ; 80) ISBN 978-1-4939-7486-3 Bibtex [DOI]

L. Bossinger ; S. Lamboglia ; K. Mincheva and F. Mohammadi: Computing toric degenerations of flag varieties. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 247-281 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

Y. Ren: Computing tropical varieties using Newton's polygon method. ACM SIGSAM bulletin, 51 (2017) 3, p. 83-85 Bibtex [DOI]

B. Bolognese ; C. Harris and J. Jelisiejew: Equations and tropicalization of Enriques surfaces. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 181-200 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Fitness, apprenticeship, and polynomials. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 1-19 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

B. Bolognese ; M. Brandt and L. Chua: From curves to tropical Jacobians and back. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 21-45 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

L. Chua ; D. Plaumann ; R. Sinn and C. Vinzant: Gram spectrahedra. Bibtex [ARXIV] Green Open Access

P. Breiding: How many eigenvalues of a random symmetric rensor are real?. Bibtex [ARXIV] Green Open Access

A. Higashitani ; M. Kummer and M. Michałek: Interlacing Ehrhart polynomials of reflexive polytopes. Selecta mathematica, 23 (2017) 4, p. 2977-2998 Bibtex MIS-Preprint: 7/2017 [DOI] [ARXIV] Gold Open Access

K. Shaw ; P. Jell and J. Rau: Lefschetz (1,1)-theorem in tropical geometry. Bibtex MIS-Preprint: 78/2017 [ARXIV] Green Open Access

B. Sturmfels: Message from the editor-in-chief. SIAM journal on applied algebra and geometry, 1 (2017) 1, p. 1-1 Bibtex [DOI] Gold Open Access

R. Mulas and N. M. Tran: Minimal embedding dimensions of connected neural codes. Bibtex [ARXIV] Green Open Access

J. Torres: On Sundaram's full bijection. Bibtex MIS-Preprint: 82/2017 [ARXIV] Green Open Access

J. M. Landsberg and M. Michałek: On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. SIAM journal on applied algebra and geometry, 1 (2017) 1, p. 2-19 Bibtex [DOI] [ARXIV] Gold Open Access

E. Carlini ; M. Kummer ; A. Oneto and E. Ventura: On the real rank of monomials. Mathematische Zeitschrift, 286 (2017) 1-2, p. 571-577 Bibtex [DOI] [ARXIV] Green Open Access

R. Sinn and C. Hanselka: Positive semidefinite univariate matrix polynomials. Bibtex MIS-Preprint: 43/2017 [ARXIV] Green Open Access

P. Breiding ; K. Kozhasov and A. Lerario: Random spectrahedra. Bibtex MIS-Preprint: 76/2017 [ARXIV] Green Open Access

A. Seigal and B. Sturmfels: Real rank two geometry. Journal of algebra, 484 (2017), p. 310-333 Bibtex [DOI] [ARXIV] Green Open Access

M. Möller ; M. Ulirsch and A. Werner: Realizability of tropical canonical divisors. Bibtex [ARXIV] Green Open Access

K. Shaw: Superforms and tropical cohomology. Bibtex MIS-Preprint: 50/2017 Green Open Access

J. Diehl ; M. Gubinelli and N. Perkowski: The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions. Communications in mathematical physics, 354 (2017) 2, p. 549-589 Bibtex [DOI] [ARXIV] Green Open Access

A. D'Ali: The Koszul property for spaces of quadrics of codimension three. Journal of algebra, 490 (2017), p. 256-282 Bibtex [DOI] [ARXIV] Green Open Access

M. Brandt ; J. Bruce ; T. Brysiewicz ; R. Krone and E. Robeva: The degree of \(\text{SO}(n, \mathbb{C})\). Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 229-246 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

T. Kahle ; K. Kubjas ; M. Kummer and Z. Rosen: The geometry of rank-one tensor completion. SIAM journal on applied algebra and geometry, 1 (2017) 1, p. 200-221 Bibtex [DOI] [ARXIV] Gold Open Access

R. Epure ; Y. Ren and H. Schönemann: The polymake interface in singular and its applications. Computer algebra in scientific computing : 19th international workshop, CASC 2017, Beijing, China, September 18-22, 2017, proceedings / V. P. Gerdt... (eds.). Springer, 2017. - P. 109-117 (Lecture notes in computer science ; 10490) Bibtex [DOI]

M. Kummer and K. Shaw: The separating semigroup of a real curve. Bibtex MIS-Preprint: 48/2017 [ARXIV] Green Open Access

B. Lin and M. Ulirsch: Towards a tropical Hodge bundle. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 353-368 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

C. Harris and Y. Len: Tritangent planes to space sextics : the algebraic and tropical stories. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 47-63 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

R. Yoshida ; L. Zhang and X. Zhang: Tropical principal component analysis and its application to phylogenetics. Bibtex [ARXIV] Green Open Access

A. Monod ; S. Kališnik Verovšek ; J. #. Patiño-Galindo and L. Crawford: Tropical sufficient statistics for persistent homology. Bibtex MIS-Preprint: 66/2017 [ARXIV] Green Open Access

M. Brandt and P. A. Helminck: Tropical superelliptic curves. Bibtex [ARXIV] Green Open Access

P. A. Helminck: Tropicalizing abelian covers of algebraic curves. Bibtex [ARXIV] Green Open Access

M. Kummer and C. Vinzant: The Chow form of a reciprocal linear space. Bibtex [ARXIV] Green Open Access
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