Last update:
Mon Aug 26 12:50:11 MDT 2024
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