Geometric complexity theory for product-plus-power, Journal of Symbolic Computation 132, 102458 (2026)
Algebraic metacomplexity and representation theory, CCC 2025, 26:1–26:35
Computing Moment Polytopes of Tensors, with Applications in Algebraic Complexity and Quantum Information, STOC 2025, 756–765
Barriers for rectangular matrix multiplication, computational complexity 34:4 (2025)
The resource theory of tensor networks, Quantum 8, 1560 (2024), Presented at QIP 2024
Quantum max-flow in the bridge graph, Transformation Groups, advance online publication (2024), Presented at QIP 2023
Fixed-parameter debordering of Waring rank, STACS 2024, 30:1–30:15
Partial Degeneration of Tensors, SIAM Journal on Matrix Analysis and Applications 45(1), 771–800 (2024)
Persistent Tensors and Multiqudit Entanglement Transformation, Quantum 8, 1238 (2024)
Homogeneous Algebraic Complexity Theory and Algebraic Formulas, ITCS 2024, 43:1–43:23
Weighted slice rank and a minimax correspondence to Strassen’s spectra, Journal de Mathématiques Pures et Appliquées 172, 299–329 (2023)
Degree-Restricted Strength Decompositions and Algebraic Branching Programs, FSTTCS 2022, 20:1–20:15
On the Orbit Closure Containment Problem and Slice Rank of Tensors, SODA 2021, 2565–2584
Slice Rank of Block Tensors and Irreversibility of Structure Tensors of Algebras, MFCS 2020, 17:1–17:15
Strassen’s 2×2 matrix multiplication algorithm: a conceptual perspective, Annali dell’Università di Ferrara. Sezione VII: Scienze mathematiche 65(2), 241–248 (2019)
On the complexity of hazard-free circuits, J. ACM 66(4) 25 (2019), Conference version: STOC 2018, 878–889
On Symmetries of Tensor Decompositions for the Commutator of 2×2 Matrices, Computational Mathematics and Modeling 30(1), 48–54 (2019)
Generalized matrix completion and algebraic natural proofs, STOC 2018, 1193–1206
On Degeneration of Tensors and Algebras, MFCS 2016, 19:1–19:11
On bilinear algorithms over fields of different characteristics, Moscow University Computational Mathematics and Cybernetics 37(4), 189–194 (2013)
Research Experience
Postdoctoral Researcher, Faculty of Computer Science, Ruhr University Bochum
Background
Research interests: algebraic and geometric methods in theoretical computer science; mainly focused on applications of representation theory and algebraic geometry to the study of tensors and their relations.