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Pfaffian Mathematics
Semi-algebraic Sets Mathematics
Betti numbers Mathematics
Monotone Mathematics
Upper bound Mathematics
Monotone Map Mathematics
Polynomial Mathematics
O-minimal Mathematics

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Projects 2011 2011

Collaborative Research with Prof B Shapiro

Vorobjov, N.


Project: UK charity

Research Output 2001 2018

Orthogonal tropical linear prevarieties

Vorobjov, N. & Grigoriev, D. 5 Jun 2018 (Accepted/In press) The 20th International Workshop on Computer Algebra in Scientific Computing. Springer, 10 p. (Lecture Notes in Computer Science)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Upper bounds on Betti numbers of tropical prevarieties

Grigoriev, D. & Vorobjov, N. 1 Apr 2018 In : Arnold Mathematical Journal. 4, 1, p. 127-136 10 p.

Research output: Contribution to journalArticle

Betti numbers
Upper bound
Minkowski Sum

On irreducible components of real exponential hypersurfaces

Vorobjov, N. & Riener, C. 10 Sep 2017 In : Arnold Mathematical Journal. 3, 3, p. 423-443 20 p.

Research output: Contribution to journalArticle

Open Access

On topological lower bounds for algebraic computation trees

Gabrielov, A. & Vorobjov, N. 1 Feb 2017 In : Foundations of Computational Mathematics. 17, 1, p. 61-72 12 p.

Research output: Contribution to journalArticle

Topological lower bounds for arithmetic networks

Vorobjov, N. & Gabrielov, A. 1 Sep 2017 In : Computational Complexity. 26, 3, p. 687-715 28 p.

Research output: Contribution to journalArticle

Open Access