Last update:
Sat Oct 18 09:05:45 MDT 2025
Bernd Sturmfels Message from the Editor-in-Chief . . . . 1--1
J. M. Landsberg and
Mateusz Micha\lek On the Geometry of Border Rank
Decompositions for Matrix Multiplication
and Other Tensors with Symmetry . . . . 2--19
Michael Kech and
Felix Krahmer Optimal Injectivity Conditions for
Bilinear Inverse Problems with
Applications to Identifiability of
Deconvolution Problems . . . . . . . . . 20--37
Jameson Cahill and
Dustin G. Mixon and
Nate Strawn Connectivity and Irreducibility of
Algebraic Varieties of Finite Unit Norm
Tight Frames . . . . . . . . . . . . . . 38--72
Diego Cifuentes and
Pablo A. Parrilo Chordal Networks of Polynomial Ideals 73--110
Peter Bürgisser Condition of Intersecting a Projective
Variety with a Varying Linear Subspace 111--125
Guido Montúfar and
Jason Morton Dimension of Marginals of Kronecker
Product Models . . . . . . . . . . . . . 126--151
Nathan Ilten and
Alexandre Zotine On Fano Schemes of Toric Varieties . . . 152--174
Grigoriy Blekherman and
Rainer Sinn and
Mauricio Velasco Do Sums of Squares Dream of Free
Resolutions? . . . . . . . . . . . . . . 175--199
Thomas Kahle and
Kaie Kubjas and
Mario Kummer and
Zvi Rosen The Geometry of Rank-One Tensor
Completion . . . . . . . . . . . . . . . 200--221
Carina Curto and
Elizabeth Gross and
Jack Jeffries and
Katherine Morrison and
Mohamed Omar and
Zvi Rosen and
Anne Shiu and
Nora Youngs What Makes a Neural Code Convex? . . . . 222--238
Iskander Aliev and
Jesús A. De Loera and
Timm Oertel and
Christopher O'Neill Sparse Solutions of Linear Diophantine
Equations . . . . . . . . . . . . . . . 239--253
Paul Breiding The Expected Number of Eigenvalues of a
Real Gaussian Tensor . . . . . . . . . . 254--271
Peter Bubenik and
Vin de Silva and
Vidit Nanda Higher Interpolation and Extension for
Persistence Modules . . . . . . . . . . 272--284
Dmitry Chistikov and
Stefan Kiefer and
Ines Maru\vsi\'c and
Mahsa Shirmohammadi and
James Worrell Nonnegative Matrix Factorization
Requires Irrationality . . . . . . . . . 285--307
Robert Ghrist and
Sanjeevi Krishnan Positive Alexander Duality for Pursuit
and Evasion . . . . . . . . . . . . . . 308--327
Li-Yong Shen and
Ron Goldman Strong $ \mu $-Bases for Rational Tensor
Product Surfaces and Extraneous Factors
Associated to Bad Base Points and
Anomalies at Infinity . . . . . . . . . 328--351
Gene S. Kopp The Arithmetic Geometry of Resonant
Rossby Wave Triads . . . . . . . . . . . 352--373
Wolfgang Hackbusch and
Daniel Kressner and
André Uschmajew Perturbation of Higher-Order Singular
Values . . . . . . . . . . . . . . . . . 374--387
Pierre Comon and
Yang Qi and
Konstantin Usevich Identifiability of an $X$-Rank
Decomposition of Polynomial Maps . . . . 388--414
Ada Boralevi and
Jasper van Doornmalen and
Jan Draisma and
Michiel E. Hochstenbach and
Bor Plestenjak Uniform Determinantal Representations 415--441
Ciprian S. Borcea and
Ileana Streinu New Principles for Auxetic Periodic
Design . . . . . . . . . . . . . . . . . 442--458
Jingmin Chen and
Sara Grundel and
Thomas P. Y. Yu A Flexible $ C^2 $ Subdivision Scheme on
the Sphere: With Application to
Biomembrane Modelling . . . . . . . . . 459--483
Jose Israel Rodriguez and
Botong Wang The Maximum Likelihood Degree of
Mixtures of Independence Models . . . . 484--506
Ke Ye and
Lek-Heng Lim Cohomology of Cryo-Electron Microscopy 507--535
Mareike Dressler and
Sadik Iliman and
Timo de Wolff A Positivstellensatz for Sums of
Nonnegative Circuit Polynomials . . . . 536--555
Tobias Fritz and
Tim Netzer and
Andreas Thom Spectrahedral Containment and Operator
Systems with Finite-Dimensional
Realization . . . . . . . . . . . . . . 556--574
Joe Kileel Minimal Problems for the Calibrated
Trifocal Variety . . . . . . . . . . . . 575--598
Jiawang Nie Symmetric Tensor Nuclear Norms . . . . . 599--625
Anthony M. Bloch and
Leonardo J. Colombo and
Rohit Gupta and
Tomoki Ohsawa Optimal Control Problems with Symmetry
Breaking Cost Functions . . . . . . . . 626--646
Ragnar Freij-Hollanti and
Oliver W. Gnilke and
Camilla Hollanti and
David A. Karpuk Private Information Retrieval from Coded
Databases with Colluding Servers . . . . 647--664
Hao Chen and
Kristin Lauter and
Katherine E. Stange Attacks on the Search RLWE Problem with
Small Errors . . . . . . . . . . . . . . 665--682
Satyan L. Devadoss and
Samantha Petti A Space of Phylogenetic Networks . . . . 683--705
Claus Scheiderer Semidefinite Representation for Convex
Hulls of Real Algebraic Curves . . . . . 1--25
Claus Scheiderer Spectrahedral Shadows . . . . . . . . . 26--44
Owen Coss and
Jonathan D. Hauenstein and
Hoon Hong and
Daniel K. Molzahn Locating and Counting Equilibria of the
Kuramoto Model with Rank-One Coupling 45--71
Elizabeth Gross and
Colby Long Distinguishing Phylogenetic Networks . . 72--93
Jose Capco and
Matteo Gallet and
Georg Grasegger and
Christoph Koutschan and
Niels Lubbes and
Josef Schicho The Number of Realizations of a Laman
Graph . . . . . . . . . . . . . . . . . 94--125
Hamza Fawzi and
Mohab Safey El Din A Lower Bound on the Positive
Semidefinite Rank of Convex Bodies . . . 126--139
Xavier Allamigeon and
Pascal Benchimol and
Stéphane Gaubert and
Michael Joswig Log-Barrier Interior Point Methods Are
Not Strongly Polynomial . . . . . . . . 140--178
Jonathan D. Hauenstein and
Samantha N. Sherman and
Charles W. Wampler Exceptional Stewart--Gough Platforms,
Segr\`e Embeddings, and the Special
Euclidean Group . . . . . . . . . . . . 179--205
Onur Özyesil and
Nir Sharon and
Amit Singer Synchronization over Cartan Motion
Groups via Contraction . . . . . . . . . 207--241
John Little and
Hal Schenck Codes from Surfaces with Small Picard
Number . . . . . . . . . . . . . . . . . 242--258
Frieder Ladisch and
Achill Schürmann Equivalence of Lattice Orbit Polytopes 259--280
Thomas M. Fiore and
Thomas Noll Voicing Transformations of Triads . . . 281--313
Johannes Blömer and
Kathlén Kohn Voronoi Cells of Lattices with Respect
to Arbitrary Norms . . . . . . . . . . . 314--338
Khazhgali Kozhasov On Fully Real Eigenconfigurations of
Tensors . . . . . . . . . . . . . . . . 339--347
Nina Miolane and
Susan Holmes and
Xavier Pennec Topologically Constrained Template
Estimation via Morse--Smale Complexes
Controls Its Statistical Consistency . . 348--375
Matthew Fickus and
John Jasper and
Dustin G. Mixon Packings in Real Projective Spaces . . . 377--409
Shiva Shankar and
Paula Rocha The Generic Degree of Autonomy . . . . . 410--427
Yaroslav Shitov A Counterexample to Comon's Conjecture 428--443
Fidel Barrera-Cruz and
Christine Heitsch and
Svetlana Poznanovi\'c On the Structure of RNA Branching
Polytopes . . . . . . . . . . . . . . . 444--461
Nadav Dym Exact Recovery with Symmetries for the
Doubly Stochastic Relaxation . . . . . . 462--488
Tianran Chen and
Robert Davis and
Dhagash Mehta Counting Equilibria of the Kuramoto
Model Using Birationally Invariant
Intersection Index . . . . . . . . . . . 489--507
Ippei Obayashi Volume-Optimal Cycle: Tightest
Representative Cycle of a Generator in
Persistent Homology . . . . . . . . . . 508--534
Harm Derksen A General Theory of Singular Values with
Applications to Signal Denoising . . . . 535--596
Micha\l Adamaszek and
Henry Adams and
Florian Frick Metric Reconstruction Via Optimal
Transport . . . . . . . . . . . . . . . 597--619
Frédéric Bihan and
Francisco Santos and
Pierre-Jean Spaenlehauer A Polyhedral Method for Sparse Systems
with Many Positive Solutions . . . . . . 620--645
Daniele Agostini and
Carlos Améndola Discrete Gaussian Distributions via
Theta Functions . . . . . . . . . . . . 1--30
Patrizio Neff and
Andreas Fischle and
Lev Borisov Explicit Global Minimization of the
Symmetrized Euclidean Distance by a
Characterization of Real Matrices with
Symmetric Square . . . . . . . . . . . . 31--43
Aaron Chen and
Florian Frick and
Anne Shiu Neural Codes, Decidability, and a New
Local Obstruction to Convexity . . . . . 44--66
Darij Grinberg and
Peter J. Olver The $n$ Body Matrix and Its Determinant 67--86
Gheorghe Craciun Polynomial Dynamical Systems, Reaction
Networks, and Toric Differential
Inclusions . . . . . . . . . . . . . . . 87--106
Elizabeth S. Allman and
Colby Long and
John A. Rhodes Species Tree Inference from Genomic
Sequences Using the Log-Det Distance . . 107--127
Gennadiy Averkov Optimal Size of Linear Matrix
Inequalities in Semidefinite Approaches
to Polynomial Optimization . . . . . . . 128--151
Jurij Volcic Stable Noncommutative Polynomials and
Their Determinantal Representations . . 152--171
Shiva Shankar Corrigendum: The Generic Degree of
Autonomy . . . . . . . . . . . . . . . . 172--174
Alessandro Chiesa and
Lynn Chua and
Matthew Weidner On Cycles of Pairing-Friendly Elliptic
Curves . . . . . . . . . . . . . . . . . 175--192
Amir Ali Ahmadi and
Anirudha Majumdar DSOS and SDSOS Optimization: More
Tractable Alternatives to Sum of Squares
and Semidefinite Optimization . . . . . 193--230
Matthias Christandl and
Fulvio Gesmundo and
Asger Kjærulff Jensen Border Rank Is Not Multiplicative under
the Tensor Product . . . . . . . . . . . 231--255
Giacomo Micheli On the Selection of Polynomials for the
DLP Quasi-Polynomial Time Algorithm for
Finite Fields of Small Characteristic 256--265
Max Budninskiy and
Gloria Yin and
Leman Feng and
Yiying Tong and
Mathieu Desbrun Parallel Transport Unfolding: a
Connection-Based Manifold Learning
Approach . . . . . . . . . . . . . . . . 266--291
Kiumars Kaveh and
Christopher Manon Khovanskii Bases, Higher Rank
Valuations, and Tropical Geometry . . . 292--336
Anthea Monod and
Sara Kalisnik and
Juan Ángel Patiño-Galindo and
Lorin Crawford Tropical Sufficient Statistics for
Persistent Homology . . . . . . . . . . 337--371
Jean B. Lasserre Volume of Sublevel Sets of Homogeneous
Polynomials . . . . . . . . . . . . . . 372--389
Frédéric Meunier and
Francis Edward Su Multilabeled Versions of Sperner's and
Fan's Lemmas and Applications . . . . . 391--411
Stefan Müller and
Josef Hofbauer and
Georg Regensburger On the Bijectivity of Families of
Exponential/Generalized Polynomial Maps 412--438
Heather A. Harrington and
Nina Otter and
Hal Schenck and
Ulrike Tillmann Stratifying Multiparameter Persistent
Homology . . . . . . . . . . . . . . . . 439--471
Matteo Gallet and
Niels Lubbes and
Josef Schicho and
Jan Vrsek Reconstruction of Surfaces with Ordinary
Singularities from Their Silhouettes . . 472--506
Danielle A. Brake and
Jonathan D. Hauenstein and
Frank-Olaf Schreyer and
Andrew J. Sommese and
Michael E. Stillman Singular Value Decomposition of
Complexes . . . . . . . . . . . . . . . 507--522
Hiroshi Hirai Computing the Degree of Determinants via
Discrete Convex Optimization on
Euclidean Buildings . . . . . . . . . . 523--557
Pierre Lairez and
Emre Can Sertöz A Numerical Transcendental Method in
Algebraic Geometry: Computation of
Picard Groups and Related Invariants . . 559--584
Daryl DeFord and
Hugo Lavenant and
Zachary Schutzman and
Justin Solomon Total Variation Isoperimetric Profiles 585--613
Eimear Byrne and
Alessandro Neri and
Alberto Ravagnani and
John Sheekey Tensor Representation of Rank-Metric
Codes . . . . . . . . . . . . . . . . . 614--643
Dan Edidin The Geometry of Ambiguity in
One-Dimensional Phase Retrieval . . . . 644--660
James Saunderson Certifying Polynomial Nonnegativity via
Hyperbolic Optimization . . . . . . . . 661--690
Gillian Grindstaff and
Megan Owen Representations of Partial Leaf Sets in
Phylogenetic Tree Space . . . . . . . . 691--720
Peter Bürgisser and
Alperen A. Ergür and
Josué Tonelli-Cueto On the Number of Real Zeros of Random
Fewnomials . . . . . . . . . . . . . . . 721--732
Alexandros Grosdos Koutsoumpelias and
Markus Wageringel Moment Ideals of Local Dirac Mixtures 1--27
Laurentiu G. Maxim and
Jose I. Rodriguez and
Botong Wang Euclidean Distance Degree of the
Multiview Variety . . . . . . . . . . . 28--48
Hans Z. Munthe-Kaas and
Ari Stern and
Olivier Verdier Invariant Connections, Lie Algebra
Actions, and Foundations of Numerical
Integration on Manifolds . . . . . . . . 49--68
Wojciech Chachólski and
Henri Riihimäki Metrics and Stabilization in One
Parameter Persistence . . . . . . . . . 69--98
R. Amzi Jeffs Morphisms of Neural Codes . . . . . . . 99--122
Mireille Boutin and
Gregor Kemper A Drone Can Hear the Shape of a Room . . 123--140
Michael Lesnick and
Raúl Rabadán and
Daniel I. S. Rosenbloom Quantifying Genetic Innovation:
Mathematical Foundations for the
Topological Study of Reticulate
Evolution . . . . . . . . . . . . . . . 141--184
Irina A. Kogan and
Michael Ruddy and
Cynthia Vinzant Differential Signatures of Algebraic
Curves . . . . . . . . . . . . . . . . . 185--226
Sandra Di Rocco and
David Eklund and
Madeleine Weinstein The Bottleneck Degree of Algebraic
Varieties . . . . . . . . . . . . . . . 227--253
Andreas Bluhm and
Ion Nechita Compatibility of Quantum Measurements
and Inclusion Constants for the Matrix
Jewel . . . . . . . . . . . . . . . . . 255--296
Max Lieblich and
Lucas Van Meter Two Hilbert Schemes in Computer Vision 297--321
Nicolás Botbol and
Laurent Busé and
Marc Chardin and
Fatmanur Yildirim Fibers of Multi-Graded Rational Maps and
Orthogonal Projection onto Rational
Surfaces . . . . . . . . . . . . . . . . 322--353
Julian Dörfler and
Christian Ikenmeyer and
Greta Panova On Geometric Complexity Theory:
Multiplicity Obstructions Are Stronger
Than Occurrence Obstructions . . . . . . 354--376
Bachir El Khadir On Sum of Squares Representation of
Convex Forms and Generalized
Cauchy--Schwarz Inequalities . . . . . . 377--400
Michel Coste and
Seydou Moussa Rationality of the Locus of
Singularities of the General
Gough--Stewart Platform . . . . . . . . 401--421
Timm Oertel and
Joseph Paat and
Robert Weismantel The Distributions of Functions Related
to Parametric Integer Optimization . . . 422--440
Jean B. Lasserre and
Victor Magron Computing the Hausdorff Boundary Measure
of Semialgebraic Sets . . . . . . . . . 441--469
Amaro Barreal and
Mohamed Taoufiq Damir and
Ragnar Freij-Hollanti and
Camilla Hollanti An Approximation of Theta Functions with
Applications to Communications . . . . . 471--501
Kael Dixon and
Simon Salamon Moment Maps and Galois Orbits in Quantum
Information Theory . . . . . . . . . . . 502--531
Lisa Carbone and
Vidit Nanda and
Yusra Naqvi Equivariant Simplicial Reconstruction 532--552
Neriman Tokcan and
Jonathan Gryak and
Kayvan Najarian and
Harm Derksen Algebraic Methods for Tensor Data . . . 1--27
Avinash Kulkarni and
Antonio Lerario $p$-Adic Integral Geometry . . . . . . . 28--59
Mateusz Micha\lek and
Leonid Monin and
Jaros\law A. Wi\'sniewski Maximum Likelihood Degree, Complete
Quadrics, and $ \mathbb {C}^* $-Action 60--85
Daniel Plaumann and
Rainer Sinn and
Stephan Weis Kippenhahn's Theorem for Joint Numerical
Ranges and Quantum States . . . . . . . 86--113
Claus Scheiderer Second-Order Cone Representation for
Convex Sets in the Plane . . . . . . . . 114--139
Alexander Heaton and
Serkan Hosten and
Isabelle Shankar Symmetry Adapted Gram Spectrahedra . . . 140--164
Daniel Augot and
Alain Couvreur and
Julien Lavauzelle and
Alessandro Neri Rank-Metric Codes Over Arbitrary Galois
Extensions and Rank Analogues of
Reed--Muller Codes . . . . . . . . . . . 165--199
Renato G. Bettiol and
Mario Kummer and
Ricardo A. E. Mendes Convex Algebraic Geometry of Curvature
Operators . . . . . . . . . . . . . . . 200--228
Daniel C. Cohen and
Michael Farber and
Shmuel Weinberger Topology of Parametrized Motion Planning
Algorithms . . . . . . . . . . . . . . . 229--249
Michael DiPasquale and
Nelly Villamizar A Lower Bound for Splines on Tetrahedral
Vertex Stars . . . . . . . . . . . . . . 250--277
Elina Robeva and
Jean-Baptiste Seby Multi-Trek Separation in Linear
Structural Equation Models . . . . . . . 278--303
Carlos Améndola and
Kathlén Kohn and
Philipp Reichenbach and
Anna Seigal Invariant Theory and Scaling Algorithms
for Maximum Likelihood Estimation . . . 304--337
Harm Derksen and
Visu Makam Maximum Likelihood Estimation for Matrix
Normal Models via Quiver Representations 338--365
Katherine E. Stange Algebraic Aspects of Solving Ring-LWE,
Including Ring-Based Improvements in the
Blum--Kalai--Wasserman Algorithm . . . . 366--387
Shane Kepley and
Konstantin Mischaikow and
Lun Zhang Computing Linear Extensions for
Polynomial Posets Subject to Algebraic
Constraints . . . . . . . . . . . . . . 388--416
Chen Cai and
Woojin Kim and
Facundo Mémoli and
Yusu Wang Elder-Rule-Staircodes for Augmented
Metric Spaces . . . . . . . . . . . . . 417--454
Masaki Hamada and
Hiroshi Hirai Computing the nc-Rank via Discrete
Convex Optimization on CAT(0) Spaces . . 455--478
Haizi Yu and
Igor Mineyev and
Lav R. Varshney Orbit Computation for Atomically
Generated Subgroups of Isometries of $
\mathbb {Z}^n $ . . . . . . . . . . . . 479--505
Ngoc Mai Tran The Finite Matroid-Based Valuation
Conjecture is False . . . . . . . . . . 506--525
António Pedro Goucha and
João Gouveia The Phaseless Rank of a Matrix . . . . . 526--551
Iwan Duursma and
Xiao Li and
Hsin-Po Wang Multilinear Algebra for Distributed
Storage . . . . . . . . . . . . . . . . 552--587
Matías R. Bender and
Jean-Charles Faug\`ere and
Angelos Mantzaflaris and
Elias Tsigaridas Koszul-Type Determinantal Formulas for
Families of Mixed Multilinear Systems 589--619
Valentina Beorchia and
Francesco Galuppi and
Lorenzo Venturello Eigenschemes of Ternary Tensors . . . . 620--650
Grigoriy Blekherman and
Kevin Shu Sums of Squares and Sparse Semidefinite
Programming . . . . . . . . . . . . . . 651--674
Gunnar Carlsson and
Facundo Mémoli and
Santiago Segarra Robust Hierarchical Clustering for
Directed Networks: An Axiomatic Approach 675--700
Yaroslav Shitov The Waring Rank of the 3 x 3 Permanent 701--714
Benedikt Kolbe and
Myfanwy E. Evans Enumerating Isotopy Classes of Tilings
Guided by the Symmetry of Triply
Periodic Minimal Surfaces . . . . . . . 1--40
Andrew Pryhuber and
Rainer Sinn and
Rekha R. Thomas Existence of Two View Chiral
Reconstructions . . . . . . . . . . . . 41--76
R. Amzi Jeffs Erratum for ``Morphisms of Neural
Codes'' . . . . . . . . . . . . . . . . 77--78
Anina Gruica and
Alberto Ravagnani Common Complements of Linear Subspaces
and the Sparseness of MRD Codes . . . . 79--110
Jie Wang Nonnegative Polynomials and Circuit
Polynomials . . . . . . . . . . . . . . 111--133
Alexander McCleary and
Amit Patel Edit Distance and Persistence Diagrams
over Lattices . . . . . . . . . . . . . 134--155
Alberto Ravagnani Whitney Numbers of Combinatorial
Geometries and Higher-Weight Dowling
Lattices . . . . . . . . . . . . . . . . 156--189
Daniel Irving Bernstein Generic Symmetry-Forced Infinitesimal
Rigidity: Translations and Rotations . . 190--215
J. Elisenda Grigsby and
Kathryn Lindsey On Transversality of Bent Hyperplane
Arrangements and the Topological
Expressiveness of ReLU Neural Networks 216--242
Sven C. Polak Symmetry Reduction to Optimize a
Graph-based Polynomial From Queueing
Theory . . . . . . . . . . . . . . . . . 243--266
Michael Lesnick and
Matthew Wright Computing Minimal Presentations and
Bigraded Betti Numbers of $2$-Parameter
Persistent Homology . . . . . . . . . . 267--298
Saugata Basu and
Ali Mohammad-Nezhad On the Central Path of Semidefinite
Optimization: Degree and Worst-Case
Convergence Rate . . . . . . . . . . . . 299--318
Ettore Turatti On Tensors That Are Determined by Their
Singular Tuples . . . . . . . . . . . . 319--338
Alexey Ovchinnikov and
Anand Pillay and
Gleb Pogudin and
Thomas Scanlon Multi-experiment Parameter
Identifiability of ODEs and Model Theory 339--367
Kathlén Kohn and
Thomas Merkh and
Guido Montúfar and
Matthew Trager Geometry of Linear Convolutional
Networks . . . . . . . . . . . . . . . . 368--406
Kangjin Han and
Hyunsuk Moon A New Bound for the Waring Rank of
Monomials . . . . . . . . . . . . . . . 407--431
Kyle Meyer and
Ivan Soprunov and
Jenya Soprunova $ \mathbb {F}_q $-Zeros of Sparse
Trivariate Polynomials and Toric
$3$-Fold Codes . . . . . . . . . . . . . 432--467
Jens Forsgård and
Timo de Wolff The Algebraic Boundary of the Sonc-Cone 468--502
Jason Cantarella and
Henrik Schumacher Computing the Conformal Barycenter . . . 503--530
Yaroslav N. Shitov The Subrank of a Complex Symmetric
Tensor Can Exceed its Symmetric Subrank 531--535
Calin Chindris and
Jasim Ismaeel A Quiver Invariant Theoretic Approach to
Radial Isotropy and the Paulsen Problem
for Matrix Frames . . . . . . . . . . . 536--562
Joscha Diehl and
Kurusch Ebrahimi-Fard and
Nikolas Tapia Tropical Time Series, Iterated-Sums
Signatures, and Quasisymmetric Functions 563--599
Dmitrii Koshelev Optimal Encodings to Elliptic Curves of
$j$-Invariants 0, 1728 . . . . . . . . . 600--617
Guido Montúfar and
Yue Ren and
Leon Zhang Sharp Bounds for the Number of Regions
of Maxout Networks and Vertices of
Minkowski Sums . . . . . . . . . . . . . 618--649
Mareike Dressler and
Riley Murray Algebraic Perspectives on Signomial
Optimization . . . . . . . . . . . . . . 650--684
Henry Adams and
Baris Coskunuzer Geometric Approaches to Persistent
Homology . . . . . . . . . . . . . . . . 685--710
Michael Joswig and
Max Klimm and
Sylvain Spitz Generalized Permutahedra and Optimal
Auctions . . . . . . . . . . . . . . . . 711--739
Timothy Duff and
Viktor Korotynskiy and
Tomas Pajdla and
Margaret H. Regan Galois/Monodromy Groups for Decomposing
Minimal Problems in $3$D Reconstruction 740--772
Jason M. Altschuler and
Pablo A. Parrilo Kernel Approximation on Algebraic
Varieties . . . . . . . . . . . . . . . 1--28
Martin Helmer and
Vidit Nanda Complex Links and Hilbert-Samuel
Multiplicities . . . . . . . . . . . . . 29--48
Stefan Forcey Circular Planar Electrical Networks,
Split Systems, and Phylogenetic Networks 49--76
Michael Borinsky and
Anna-Laura Sattelberger and
Bernd Sturmfels and
Simon Telen Bayesian Integrals on Toric Varieties 77--103
Tom Needham and
Thomas Weighill Geometric Averages of Partitioned
Datasets . . . . . . . . . . . . . . . . 104--132
Jane I. Coons and
Aida Maraj and
Pratik Misra and
Miruna-Stefana Sorea Symmetrically Colored Gaussian Graphical
Models with Toric Vanishing Ideals . . . 133--158
Julia Lindberg and
Nathan Nicholson and
Jose I. Rodriguez and
Zinan Wang The Maximum Likelihood Degree of Sparse
Polynomial Systems . . . . . . . . . . . 159--171
Chiu-Yen Kao and
Braxton Osting and
Jackson C. Turner Flat Tori with Large Laplacian
Eigenvalues in Dimensions up to Eight 172--193
Ruiwen Dong and
Christian Goodbrake and
Heather A. Harrington and
Gleb Pogudin Differential Elimination for Dynamical
Models via Projections with Applications
to Structural Identifiability . . . . . 194--235
Masaru Ito and
Bruno F. Lourenço Automorphisms of Rank-One Generated
Hyperbolicity Cones and Their Derivative
Relaxations . . . . . . . . . . . . . . 236--263
Antonio Laface and
Alex Massarenti and
Rick Rischter Decomposition Algorithms for Tensors and
Polynomials . . . . . . . . . . . . . . 264--290
Dinh V. Le and
Tim Römer Theorems of Carathéodory,
Minkowski--Weyl, and Gordan up to
Symmetry . . . . . . . . . . . . . . . . 291--310
Yair Hayut and
David Lehavi Complete SE(3) Invariants for a Comeagre
Set of $ C^3 $ Compact Orientable
Surfaces in $ \mathbb {R}^3 $ . . . . . 311--344
Goran Mali\'c and
Ileana Streinu Computing Circuit Polynomials in the
Algebraic Rigidity Matroid . . . . . . . 345--385
Benjamin Jany The Projectivization Matroid of a
$q$-Matroid . . . . . . . . . . . . . . 386--413
Miguel Ángel Javaloyes and
Enrique Pendás-Recondo and
Miguel Sánchez A General Model for Wildfire Propagation
with Wind and Slope . . . . . . . . . . 414--439
Maria Dostert and
Katharina Jochemko Learning Polytopes with Fixed Facet
Directions . . . . . . . . . . . . . . . 440--469
Paul Breiding and
Felix Rydell and
Elima Shehu and
Angélica Torres Line Multiview Varieties . . . . . . . . 470--504
Tobias Fritz Abstract Vergleichsstellensätze for
Preordered Semifields and Semirings I 505--547
Lisa Nicklasson Toric and Non-toric Bayesian Networks 549--566
Gabriel Coutinho and
Pedro Ferreira Baptista and
Chris Godsil and
Thomás Jung Spier and
Reinhard Werner Irrational Quantum Walks . . . . . . . . 567--584
Cosmas Kravaris On the Density of Eigenvalues on
Periodic Graphs . . . . . . . . . . . . 585--609
Yiyang Deng and
Marshall Hampton Finiteness of Spatial Central
Configurations with Fixed
Subconfigurations . . . . . . . . . . . 610--622
Alexander E. Black and
Jesús A. De Loera and
Niklas Lütjeharms and
Raman Sanyal The Polyhedral Geometry of Pivot Rules
and Monotone Paths . . . . . . . . . . . 623--650
Saugata Basu and
Negin Karisani Persistent Homology of Semialgebraic
Sets . . . . . . . . . . . . . . . . . . 651--684
Amir Ali Ahmadi and
Cemil Dibek A Sum of Squares Characterization of
Perfect Graphs . . . . . . . . . . . . . 685--715
Sandra Di Rocco and
Parker B. Edwards and
David Eklund and
Oliver Gäfvert and
Jonathan D. Hauenstein Computing Geometric Feature Sizes for
Algebraic Manifolds . . . . . . . . . . 716--741
Matthias Christandl and
Fulvio Gesmundo and
Jeroen Zuiddam A Gap in the Subrank of Tensors . . . . 742--767
Khazhgali Kozhasov and
Jean B. Lasserre Volumes of Sublevel Sets of Nonnegative
Forms and Complete Monotonicity . . . . 768--785
Maria Bras-Amorós and
Alonso S. Castellanos and
Luciane Quoos Isometry-Dual Flags of Many-Point AG
Codes . . . . . . . . . . . . . . . . . 786--808
Konstantin Mischaikow and
Charles Weibel Computing the Conley Index: a Cautionary
Tale . . . . . . . . . . . . . . . . . . 809--827
Chad Giusti and
Darrick Lee Signatures, Lipschitz-Free Spaces, and
Paths of Persistence Diagrams . . . . . 828--866
Lorenzo Baldi and
Lucas Slot Degree Bounds for Putinar's
Positivstellensatz on the Hypercube . . 1--25
Jacob R. Goodman and
Leonardo J. Colombo Reduction by Symmetry in Obstacle
Avoidance Problems on Riemannian
Manifolds . . . . . . . . . . . . . . . 26--53
Steve Oudot and
Luis Scoccola On the Stability of Multigraded Betti
Numbers and Hilbert Functions . . . . . 54--88
Sandra Di Rocco and
Lukas Gustafsson and
Luca Schaffler Gaussian Likelihood Geometry of
Projective Varieties . . . . . . . . . . 89--113
Elizabeth S. Allman and
Colby Long and
John A. Rhodes Phylogenomic Models from Tree Symmetries 114--137
Fabian M. Faulstich and
Mathias Oster Coupled Cluster Theory: Toward an
Algebraic Geometry Formulation . . . . . 138--188
Saugata Basu and
Nathanael Cox Harmonic Persistent Homology . . . . . . 189--224
Jan Draisma Erratum: A Counterexample to Comon's
Conjecture . . . . . . . . . . . . . . . 225--225
Alberto Cazzaniga and
Antonio Lerario and
Andrea Rosana What Is the Probability That a Random
Symmetric Tensor Is Close to Rank-One? 227--258
Matthias Himmelmann and
Myfanwy E. Evans Robust Geometric Modeling of 3-Periodic
Tensegrity Frameworks Using Riemannian
Optimization . . . . . . . . . . . . . . 259--283
Elena S. Dimitrova and
Cameron H. Fredrickson and
Nicholas A. Rondoni and
Brandilyn Stigler and
Alan Veliz-Cuba Algebraic Experimental Design: Theory
and Computation . . . . . . . . . . . . 284--301
Luis Crespo Ruiz and
Francisco Santos Multitriangulations and Tropical
Pfaffians . . . . . . . . . . . . . . . 302--332
Kathlén Kohn and
Guido Montúfar and
Vahid Shahverdi and
Matthew Trager Function Space and Critical Points of
Linear Convolutional Networks . . . . . 333--362
Yulia Alexandr and
Eliana Duarte and
Julian Vill Decomposable Context-Specific Models . . 363--393
Eduardo Camps Moreno and
Hiram H. López and
Gretchen L. Matthews Explicit Non-special Divisors of Small
Degree, Algebraic Geometric Hulls, and
LCD Codes from Kummer Extensions . . . . 394--413
Régis Blache and
Emmanuel Hallouin Construction of Good Codes from Weak del
Pezzo Surfaces . . . . . . . . . . . . . 414--459
Carlos Améndola and
Kathlén Kohn and
Philipp Reichenbach and
Anna Seigal Corrigendum: Invariant Theory and
Scaling Algorithms for Maximum
Likelihood Estimation . . . . . . . . . 460--463
Carlos Améndola and
Lukas Gustafsson and
Kathlén Kohn and
Orlando Marigliano and
Anna Seigal Differential Equations for Gaussian
Statistical Models with Rational Maximum
Likelihood Estimator . . . . . . . . . . 465--492
Vito Napolitano and
Olga Polverino and
Paolo Santonastaso and
Ferdinando Zullo Clubs and Their Applications . . . . . . 493--518
Marianne Clausel and
Joscha Diehl and
Raphael Mignot and
Leonard Schmitz and
Nozomi Sugiura and
Konstantin Usevich The Barycenter in Free Nilpotent Lie
Groups and Its Application to
Iterated-Integrals Signatures . . . . . 519--552
Gianira N. Alfarano and
Altan B. Kiliç and
Alberto Ravagnani and
Emina Soljanin The Service Rate Region Polytope . . . . 553--582
Igor Klep and
Tea Strekelj and
Aljaz Zalar A Random Copositive Matrix Is Completely
Positive with Positive Probability . . . 583--611
Evelyne Hubert and
Tobias Metzlaff and
Cordian Riener Orbit Spaces of Weyl Groups Acting on
Compact Tori: A Unified and Explicit
Polynomial Description . . . . . . . . . 612--649
Uzu Lim and
Harald Oberhauser and
Vidit Nanda Tangent Space and Dimension Estimation
with the Wasserstein Distance . . . . . 650--685
Michael DiPasquale and
Beihui Yuan Bivariate Splines on a Triangulation
with a Single Totally Interior Edge . . 686--712
Ben Knudsen and
Shmuel Weinberger Analog Category and Complexity . . . . . 713--732
Dan Edidin and
Matthew Satriano Orbit Recovery for Band-Limited
Functions . . . . . . . . . . . . . . . 733--755
Jason Cantarella and
Henrik Schumacher CoBarS: Fast Reweighted Sampling for
Polygon Spaces in Any Dimension . . . . 756--781
Albert Chern and
Sadashige Ishida Area Formula for Spherical Polygons via
Prequantization . . . . . . . . . . . . 782--796
Markus Schweighofer and
Luis Felipe Vargas Sum-of-Squares Certificates for
Copositivity via Test States . . . . . . 797--820
Alexandre Anahory and
Leonardo J. Colombo and
Manuel de Leon and
Juan Carlos Marrero and
David Martín de Diego and
Edith Padrón Reduction by Symmetries of Contact
Mechanical Systems on Lie Groups . . . . 821--845
Diego Ruano and
Rodrigo San-José Hulls of Projective Reed--Muller Codes
over the Projective Plane . . . . . . . 846--876
Gheorghe Craciun and
Abhishek Deshpande and
Jiaxin Jin A Lower Bound on the Dimension of the $
\mathbb {R} $-Disguised Toric Locus of a
Reaction Network . . . . . . . . . . . . 877--912
Oleg Makarenkov and
Josean Albelo-Cortes Topological Properties of Network Spring
Models that Determine Terminal
Distributions of Plastic Deformations 913--930
Arthur Bik and
Alessandro Neri Higher-Degree Symmetric Rank-Metric
Codes . . . . . . . . . . . . . . . . . 931--967
Máté L. Telek Geometry of the Signed Support of a
Multivariate Polynomial and Descartes'
Rule of Signs . . . . . . . . . . . . . 968--1000
Albert Chern and
Oliver Gross Force-Free Fields Are Conformally
Geodesic . . . . . . . . . . . . . . . . 1001--1022
Bryson Kagy and
Seth Sullivant Equidistant Circular Split Networks . . 1--32
Luke Oeding and
Ian Tan Tensor Decompositions with Applications
to Local Unitary and Stochastic Local
Operations and Classical Communication
Equivalence of Multipartite Pure States 33--57
Dmitrii Pavlov and
Simon Telen Santaló Geometry of Convex Polytopes . . 58--82
M. Faust and
J. Lopez Garcia Irreducibility of the Dispersion
Polynomial for Periodic Graphs . . . . . 83--107
Kaibo Hu and
Ting Lin and
Qian Zhang Distributional Hessian and Divdiv
Complexes on Triangulation and
Cohomology . . . . . . . . . . . . . . . 108--153
Camilla Hollanti and
Guillermo Mantilla-Soler and
Niklas Miller Dense Generic Well-Rounded Lattices . . 154--185
Zijia Li and
Hans-Peter Schröcker and
Mikhail Skopenkov and
Daniel F. Scharler Motion Polynomials Admitting
Factorization with Linear Factors . . . 186--210
Alexander Taveira Blomenhofer On Uniqueness of Power Sum Decomposition 211--234
Laura Ciobanu and
Alex Evetts and
Alex Levine Effective Equation Solving, Constraints,
and Growth in Virtually Abelian Groups 235--260
Didier Henrion and
Adrien Le Franc and
Victor Magron Slow Convergence of the Moment-SOS
Hierarchy for an Elementary Polynomial
Optimization Problem . . . . . . . . . . 261--278
Mathias Drton and
Alexandros Grosdos and
Irem Portakal and
Nils Sturma Algebraic Sparse Factor Analysis . . . . 279--309
Grigoriy Blekherman and
Alex Dunbar A Topological Approach to Simple
Descriptions of Convex Hulls of Sets
Defined by Three Quadrics . . . . . . . 310--342
Yassine El Maazouz and
Enis Kaya Sampling from $p$-Adic Algebraic
Manifolds . . . . . . . . . . . . . . . 343--373
Marissa Masden Algorithmic Determination of the
Combinatorial Structure of the Linear
Regions of ReLU Neural Networks . . . . 374--404
Laurent Busé and
Pablo Mazón Construction of Birational Trilinear
Volumes via Tensor Rank Criteria . . . . 405--431
Chunyin Siu The Topological Behavior of Preferential
Attachment Graphs . . . . . . . . . . . 432--455
Jean Gasnier and
Aurore Guillevic An Algebraic Point of View on the
Generation of Pairing-Friendly Curves 456--480
Alexander McCleary and
Amit Patel Erratum: ``Edit Distance and Persistence
Diagrams over Lattices'' . . . . . . . . 481--482
Ezra Miller Homological Algebra of Modules over
Posets . . . . . . . . . . . . . . . . . 483--524
Emma Boniface and
Karel Devriendt and
Serkan Hosten Tropical Toric Maximum Likelihood
Estimation . . . . . . . . . . . . . . . 525--553
Patrizio Frosini and
Eloy Mósig García and
Nicola Quercioli and
Francesca Tombari Matching Distance via the Extended
Pareto Grid . . . . . . . . . . . . . . 554--576
Álvaro Rodríguez Abella and
Leonardo J. Colombo Nonsmooth Nonholonomic Reduction for
Mechanical Systems with Collisions . . . 577--602
Eric G. Ramos and
Graham White Families of Markov Chains with
Compatible Symmetric-Group Actions . . . 603--639
Carlo Bellingeri and
Raul Penaguiao Discrete Signature Varieties . . . . . . 640--665
John B. Little An Algebraic--Geometric Construction of
Multilump Solutions of the KP1 Equation 666--681
Niklas Miller A Design Criterion for the Rayleigh
Fading Wiretap Channel Based on $
\ell^1$-Norm Theta Functions . . . . . . 682--706
Charu Goel and
Sarah Hess and
Salma Kuhlmann A Refinement of Hilbert's 1888 Theorem:
Separating Cones Along the Veronese
Variety . . . . . . . . . . . . . . . . 707--725
Thomas Kahle and
Julian Vill Efficiently Deciding If an Ideal Is
Toric After a Linear Coordinate Change 727--740
Valentina Astore and
Martino Borello and
Marco Calderini and
Flavio Salizzoni A Geometric Invariant of Linear
Rank-Metric Codes . . . . . . . . . . . 741--764
Marta Casanellas and
Jesús Fernández-Sánchez Phylogenetic Invariants: From the
General Markov to Equivariant Models . . 765--793