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Published: January 01, 2199

Blog Post number 4

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Published: August 14, 2015

Blog Post number 3

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Published: August 14, 2014

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Published: August 14, 2013

Blog Post number 1

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Published: August 14, 2012

Lecture notes on differential Galois theory

MSU, 2013 (in Russian)

Lecture notes on linear recurrences with nonconstant coefficients

AESC MSU, 2016 (in Russian)

Wronskian of derivations

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

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

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

Primary differential nil-algebras do exist

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

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

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

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

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

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

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

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

Power series expansions for the planar monomer-dimer problem

Physical Review E, vol. 96, 2017 , 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

Products of ideals and jet schemes

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

A differential analog of the Noether normalization lemma

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

Irrendundant Triangular Decomposition (with Szanto A.)

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

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

Primitive element theorem for fields with commuting derivations and automorphisms

Selecta Mathematica, 25:57, 2019 , preprint

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

Complexity, volume 2020, ID 3687961, 2020 , preprint

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

Journal of the European Mathematical Society, 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

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

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

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

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

International Mathematics Research Notices, 2020 , preprint

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

Applicable Algebra in Engineering, Communication and Computing, 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

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

International Workshop on Combinatorial Algorithms (IWOCA), 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

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

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

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

Mathematics of Computation, 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

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

Canadian Journal of Mathematics, 2021 , preprint

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

System & Control Letters, 2021 , preprint

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

IEEE Transactions on Automatic Control, 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

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

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

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

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

Computational Methods in Systems Biology (CMSB), 2022 , 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

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

accepted to Algebra & Number Theory , preprint

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

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

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

Communications in Nonlinear Science and Numerical Simulation , preprint

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

accepted to SIAM Journal on Applied Dynamical Systems , preprint

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

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

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

ACM Communications in Computer Algebra , preprint

Persistent components in Canny’s resultant

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

Obtaining weights for Gröbner basis computation in parameter identifiability problems (with Bessonov M., Ilmer I., Konstantinova T., Ovchinnikov A., Soto P.)

Teaching experience 1

Undergraduate course, University 1, Department, 2014

Teaching experience 2

Workshop, University 1, Department, 2015

Gleb Pogudin

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Pages

Posts

publications

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

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

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

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

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

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

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

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

Irrendundant Triangular Decomposition (with Szanto A.)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Obtaining weights for Gröbner basis computation in parameter identifiability problems (with Bessonov M., Ilmer I., Konstantinova T., Ovchinnikov A., Soto P.)

teaching