Publications
All my publications and preprints are availabe on the arXiv.
Preprints
- Minimality of Tree Tensor Network Ranks
with Jana Jovcheva and Nick Vannieuwenhoven
ARXIV: https://arxiv.org/abs/2509.09463 - One-quasihomomorphisms from the integers into symmetric matrices
with Nafie Tairi and Alejandro Vargas
ARXIV: https://arxiv.org/abs/2302.01611 - Matrix product states, geometry, and invariant theory
Notes for the 2022 semester program AGATES: Algebraic Geometry of TEnsors and Secants
ARXIV: https://arxiv.org/abs/2212.13806, see also here.
To appear
- Characterizing translation-invariant Bell inequalities using tropical algebra and graph polytopes
with Mengyao Hu, Eloïc Vallée, Patrick Emonts, Fatemeh Mohammadi, and Jordi Tura
To appear in: Phys. Rev. A (2026)
DOI: 10.1103/mgm4-dz2x ARXIV: https://arxiv.org/abs/2407.08783
Published
- Applications of intersection theory: from maximum likelihood to chromatic polynomials
with Rodica Dinu and Mateusz Michałek
In: Varieties, Polyhedra, Computation, EMS series of congress reports (2025)
DOI: 10.4171/ECR/22 ARXIV: https://arxiv.org/abs/2111.02057 - Topological Noetherianity of the infinite half-spin representations
with Christopher Chiu, Jan Draisma, Rob Eggermont, and Nafie Tairi
In: Forum Math. Sigma (2024)
DOI: 10.1017/fms.2025.32 ARXIV: https://arxiv.org/abs/2403.10274 - Decomposing Tensor Spaces via Path Signatures
with Carlos Améndola, Francesco Galuppi, Ángel David Ríos Ortiz, and Pierpaola Santarsiero
In: Journal of Pure and Applied Algebra (2024)
DOI: 10.1016/j.jpaa.2024.107807 ARXIV: https://arxiv.org/abs/2308.11571 - Quasihomomorphisms from the integers into Hamming metrics
with Jan Draisma, Rob H. Eggermont, Nafie Tairi, and Emanuele Ventura
In: Algebraic Combinatorics (2024)
DOI: 10.5802/alco.348 ARXIV: https://arxiv.org/abs/2204.08392 - Universal equations for isotropic Grassmannians
with Nafie Tairi
In: Journal of Symbolic Computation (2023)
DOI: 10.1016/j.jsc.2023.102260 ARXIV: https://arxiv.org/abs/2111.13170 - Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
with Laurent Manivel, Leonid Monin, Mateusz Michałek, and Martin Vodička
In: Journal of the European Mathematical Society (2022)
DOI: 10.4171/JEMS/1330 ARXIV: https://arxiv.org/abs/2011.08791
CODE: https://mathrepo.mis.mpg.de/MLdegreeCompleteQuadrics
- The linear span of uniform matrix product states
with Claudia De Lazzari and Harshit J. Motwani
In: SIGMA 18 (2022), 099, 18 pages
DOI: 10.3842/SIGMA.2022.099 ARXIV: https://arxiv.org/abs/2204.10363 - On the quadratic equations for odeco tensors
with Benjamin Biaggi and Jan Draisma
In: Rend. Ist. Mat. Univ. Trieste (2022), 54, 353-374
DOI: 10.13137/2464-8728/34260 ARXIV: https://arxiv.org/abs/2206.01521 - Bounds on complexity of matrix multiplication away from CW tensors
with Roser Homs, Joachim Jelisiejew, and Mateusz Michałek
In: Journal of Pure and Applied Algebra 226 (2022) 12, 107142
DOI: 10.1016/j.jpaa.2022.107142 ARXIV: https://arxiv.org/abs/2103.12598 - Reciprocal maximum likelihood degrees of diagonal linear concentration models
with Christopher Eur, Tara Fife, and Jose Alejandro Samper
In: Le Matematiche 76 (2021) 2, 447-459
DOI: 10.4418/2021.76.2.10 ARXIV: https://arxiv.org/abs/2011.14182 - K-theoretic Tutte polynomials of morphisms of matroids
with Rodica Dinu and Christopher Eur
In: J. Combin. Theory Ser. A, 181 (2021), 105414
DOI: 10.1016/j.jcta.2021.105414 ARXIV: https://arxiv.org/abs/2004.00112
- The Hessian discriminant
with Rodica Dinu
In: Le Matematiche, 75 (2020) 2, 595-610
DOI: 10.4418/2020.75.2.12 ARXIV: https://arxiv.org/abs/1909.06681
CODE: https://mathrepo.mis.mpg.de/HessianDiscriminant - Uniform matrix product states from an algebraic geometer's point of view
with Adam Czapliński and Mateusz Michałek
In: Advances in Applied Mathematics, 142 (2023), 102417
DOI: 10.1016/j.aam.2022.102417 ARXIV: https://arxiv.org/abs/1904.07563
CODE: code/uMPS_paper.m2 - A tensor version of the quantum Wielandt theorem
with Mateusz Michałek and Frank Verstraete
In: SIAM journal on matrix analysis and applications, 40 (2019) 3, p. 1125-1130
DOI: 10.1137/18M1227664 ARXIV: https://arxiv.org/abs/1811.05502 - Flag matroids: algebra and geometry
with Amanda Cameron, Rodica Dinu, and Mateusz Michałek
In: Interactions with Lattice Polytopes, Springer, 2022
ARXIV: https://arxiv.org/abs/1811.00272
- Plethysm and fast matrix multiplication
In: Comptes rendus mathematique, 356 (2018) 1, p. 52-55
DOI: 10.1016/j.crma.2017.11.012 ARXIV: https://arxiv.org/abs/1710.00528