Projects per year

## 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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## 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 proceeding › Conference 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 journal › Article

### 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 journal › Article

### 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 journal › Article

### 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 journal › Article

## Thesis

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

Author: Clutha, M., 1 Jan 2011Supervisor: Vorobjov, N. (Supervisor) & McCusker, G. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Nash equilibria in games and simplicial complexes

Author: Egan, S., 1 Dec 2008Supervisor: Vorobjov, N. (Supervisor)

Student thesis: Doctoral Thesis › PhD