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Nicolai Vorobjov


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Personal profile

Research interests

Held research and teaching positions at St Petersburg State University, Mathematical Steklov Institute (Russia), Cornell University and Pennsylvania State University (USA). Research interests are in Computer Algebra (in particular, in computational algebraic geometry) and other areas of Theoretical Computer Science.

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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., 2018, The 20th International Workshop on Computer Algebra in Scientific Computing. Springer, p. 187-196 10 p. (Lecture Notes in Computer Science; vol. 11077).

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

1 Citation (Scopus)

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

Open Access
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
1 Citation (Scopus)

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

Gabrielov, A. & Vorobjov, N., 30 Sep 2017, In : Computational Complexity. 26, 3, p. 687-715 28 p.

Research output: Contribution to journalArticle

Open Access


Bounding Betti Numbers of Sets Definable in O-Minimal Structures Over the Reals

Author: Clutha, M., 1 Jan 2011

Supervisor: Vorobjov, N. (Supervisor) & McCusker, G. (Supervisor)

Student thesis: Doctoral ThesisPhD


Nash equilibria in games and simplicial complexes

Author: Egan, S., 1 Dec 2008

Supervisor: Vorobjov, N. (Supervisor)

Student thesis: Doctoral ThesisPhD