Publications

Discovering polynomial and quadratic structure in nonlinear ordinary differential equations (survey) (with Kramer B.)

Wronskians form the inverse system of the arcs of a double point (with Ait El Manssour R.)

Projecting dynamical systems via a support bound (with Mukhina Yu.)

Quantitative pharmacology methods for bispecific T cell engagers (with Sadeghi M., Kareva I., Sontag E.)

accepted to the Bulletin of Mathematical Biology, 2025 , preprint

Structural and practical identifiability of phenomenological growth models for epidemic forecasting (with Liyanage Y.R., Chowell G., Tuncer N.)

Viruses, 2025 , preprint

Algebraic identifiability of partial differential equation models (with Byrne H., Harrington H., Ovchinnikov A., Rahkooy H., Soto P.)

Nonlinearity, 2025 , preprint

Persistent components in Canny’s Generalized Characteristic Polynomial

Journal of Symbolic Computation, 2025 , preprint

Time-efficient filtering of polarimetric data by checking physical realizability of experimental Mueller matrices (with Novikova T., Ovchinnikov A., Ramella-Roman J.C.)

Bioinformatics, 2024 , preprint

Faster Groebner bases for Lie derivatives of ODE systems via monomial orderings (with Bessonov M., Ilmer I., Konstantinova T., Ovchinnikov A., Soto P.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), 2024 , preprint

On the dimension of the solution space of linear difference equations over the ring of infinite sequences (with Abramov S.)

Journal of Symbolic Computation, 2024 , preprint

Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems (with Bychkov A., Issan O., Kramer B.)

SIAM Journal on Applied Dynamical Systems, 2024 , preprint

Exact hierarchical reductions of dynamical models via linear transformations (with Demin A., Demitraki E.)

Communications in Nonlinear Science and Numerical Simulation , preprint

Dissipative quadratizations of polynomial ODE systems (with Cai Y.)

Tools and Algorithms for Construction and Analysis of Systems (TACAS), 2024 , preprint

Multiplicity structure of the arc space of a fat point (with Ait El Manssour R.)

Algebra & Number Theory, 2024 , preprint

Differential elimination for dynamical models via projections with applications to structural identifiability (with Dong, R. and Goodbrake C. and Harrington H.A.)

SIAM Journal on Applied Algebra and Geometry, 2023 , preprint

Exact linear reduction for rational dynamical systems (with Jiménez-Pastor A., Jacob J.)

Computational Methods in Systems Biology (CMSB), 2022 , preprint

On realizing differential-algebraic equations by rational dynamical systems (with Pavlov D.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), 2022 , preprint

Multi-experiment parameter identifiability of ODEs and model theory (with Ovchinnikov A., Pillay A., Scanlon T.)

SIAM Journal on Applied Algebra and Geometry, 2022 , preprint

From algebra to analysis: new proofs of theorems by Ritt and Seidenberg (with Pavlov D. and Razmyslov Yu.)

Proceedings of American Mathematical Society, 2022 , preprint

Input-output equations and identifiability of linear ODE models (with Ovchinnikov A. and Thompson P.)

IEEE Transactions on Automatic Control, 2022 , preprint

Computing all identifiable functions of parameters for ODE models (with Ovchinnikov A., Pillay A., and Scanlon T.)

System & Control Letters, 2021 , preprint

Algorithms yield upper bounds in differential algebra (with Li W., Ovchinnikov A., and Scanlon T.)

Canadian Journal of Mathematics, 2021 , preprint

Bit-complexity of solving systems of linear evolutionary partial differential equations (with Koswara I., Selivanova S., and Ziegler M.)

Computer Science in Russia (CSR), 2021 , preprint

Degree bound for toric envelope of a linear algebraic group (with Amzallag E. and Minchenko A.)

Mathematics of Computation, 2021 , preprint

Interpretable exact linear reductions via positivity (with Zhang X.)

Computational Methods in Systems Biology (CMSB), 2021 , preprint

A zero test for σ-algebraic power series (with van der Hoeven J.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), 2021 , preprint

Optimal monomial quadratization for ODE systems (with Bychkov A.)

International Workshop on Combinatorial Algorithms (IWOCA), 2021 , preprint

CLUE: Exact maximal reduction of kinetic models by constrained lumping of differential equations (with Ovchinnikov A., Pérez Verona I.C., and Tribastone M.)

Bioinformatics, 2021 , preprint

Parameter identifiability and input-output equations (with Ovchinnikov A. and Thompson P.)

Applicable Algebra in Engineering, Communication and Computing, 2021 , preprint

Bounds for elimination of unknowns in systems of differential-algebraic equations (with Ovchinnikov A. and Thieu Vo N.)

International Mathematics Research Notices, 2020 , preprint

Elimination of unknowns for systems of algebraic differential-difference equations (with Li W., Ovchinnikov A., and Scanlon T.)

Transactions of American Mathematical Society, 2020 , preprint

Separating variables in bivariate polynomial ideals (with Buchacher M. and Kauers M.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), pp. 54-61, 2020 , preprint

Solving difference equations in sequences: Universality and Undecidability (with Scanlon T. and Wibmer M.)

Forum of Mathematics, Sigma, vol. 8, e33, 2020 , preprint

Global identifiability of differential models (with Hong H., Ovchinnikov A., and Yap C.)

Communications in Pure and Applied Mathematics, vol. 73(9), pp. 1831-1879, 2020 , preprint

Effective difference elimination and Nullstellensatz (with Ovchinnikov A. and Scanlon T.)

Journal of the European Mathematical Society, 2020 , preprint

The dynamics of canalizing Boolean networks (with Paul E., Qin W., and Laubenbacher R.)

Complexity, volume 2020, ID 3687961, 2020 , preprint

Primitive element theorem for fields with commuting derivations and automorphisms

Selecta Mathematica, 25:57, 2019 , preprint

SIAN: software for structural identifiability analysis of ODE models (with Hong H., Ovchinnikov A., and Yap C.)

Bioinformatics, vol. 35(16), pp. 2873–2874, 2019 , preprint

Complexity of Triangular Representations of Algebraic Sets (with Amzallag E., Sun M., and Thieu Vo N.)

Journal of Algebra, vol. 523, pp. 342-364, 2019 , preprint

Irrendundant Triangular Decomposition (with Szanto A.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), pp. 311-318, 2018 , preprint

A differential analog of the Noether normalization lemma

International Mathematics Research Notices, vol. 2018(4), pp. 1177-1199, 2018 , preprint

Products of ideals and jet schemes

Journal of Algebra, vol.502, pp. 61-78, 2018 , preprint

New order bounds in differential elimination algorithms (with Gustavson R. and Ovchinnikov A.)

Journal of Symbolic Computation, vol. 85, pp. 128-146, 2018 , preprint

Power series expansions for the planar monomer-dimer problem

Physical Review E, vol. 96, 2017 , preprint

Bounds for substituting algebraic functions into D-finite functions (with Kauers M.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), pp. 245-252, 2017 , preprint

Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras) (with Gerasimova O. and Razmyslov Yu.P.)

Journal of Mathematical Sciences, vol. 221(3), pp. 315-325, 2017

Prime Lie algebras satisfying the standard Lie identity of degree 5 (with Razmyslov Yu.P.)

Journal of Algebra, vol. 468, pp. 182--192, 2016 , preprint

Bounds for orders of derivatives in differential elimination algorithms (with Gustavson R. and Ovchinnikov A.)

International Symposium on Symbolic and Algebraic Computation (ISSAC), pp. 239-246, 2016

Modules of zero Gorenstein dimension over graph algebras (with Golod E.S.)

Sbornik:Mathematics, vol. 207, issue 7, pp. 81-100, 2016

The primitive element theorem for differential fields with zero derivation on the base field

Journal of Pure and Applied Algebra, vol 219(9), pp. 4035-4041, 2015 , preprint

Primary differential nil-algebras do exist

Moscow University Mathematics Bulletin, vol 69(1), pp 33-36, 2014 , preprint

The Heisenberg envelope for the Hochschild algebra of a finite-dimensional Lie algebra (with Razmyslov Yu.P.)

Journal of Mathematical Sciences, vol. 193(4), pp 580-585, 2013

Paradigm of Max-Factor and finite-dimensional representation of Lie algebras (with Razmyslov Yu.P.)

Moscow University Mathematics Bulletin, vol. 67(4), pp 170-172, 2012

Wronskian of derivations

Moscow University Mathematics Bulletin, Volume 66(1), pp 47-49, 2011

Symbolic transformations of dynamical models

Habilitation à diriger des recherches, Institute Polytechnique de Paris, 2024 (slides for the defense)

Prime differential algebras and corresponding Lie algebras

Ph.D. (candidate of sciences) thesis, Moscow State University, 2016 (in Russian)

Linear Difference Operators with Sequence Coefficients Having Infinite-Dimentional Solution Spaces (with Abramov S.)

ACM Communications in Computer Algebra , preprint

Problem 11997 (with Drmota M. and Krattenthaler C.)

The American Mathematical Monthly, vol. 124, number 7, p.660, 2017

Lecture notes on linear recurrences with nonconstant coefficients

AESC MSU, 2016 (in Russian)

Lecture notes on differential Galois theory

MSU, 2013 (in Russian)

Gleb Pogudin

Preprints