Gleb Pogudin

A differential analog of the Noether normalization lemma

In this paper, we prove the following differential analog of the Noether normalization lemma: for every

New order bounds in differential elimination algorithms

d

Bounds for Orders of Derivatives in Differential Elimination Algorithms

-dimensional differential algebraic variety over differentially closed field of zero characteristic there exists a surjective map onto the

Bounds for Substituting Algebraic Functions into D-finite Functions

d

Power series expansions for the planar monomer-dimer problem

-dimensional affine space. Equivalently, for every integral differential algebra

Primary differential nil-algebras do exist

A

Paradigm of Max-Factor and finite-dimensional representation of Lie algebras

over differential field of zero characteristic there exist differentially independent

Wronskian of derivations

b_1, \ldots, b_d

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

such that

Complexity of Triangular Representations of Algebraic Sets

A