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.

## Fingerprint Dive into the research topics where Nicolai Vorobjov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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## Projects 2011 2011

- 1 Finished

## Research Output 2001 2019

### Complexity of deciding whether a tropical linear prevariety is a tropical variety.

Grigoriev, D. & Vorobjov, N., 29 Nov 2019, In : Applicable Algebra in Engineering Communication and Computing. p. 1-18 18 p.Research output: Contribution to journal › Article

### Orthogonal tropical linear prevarieties

Vorobjov, N. & Grigoriev, D., 2018,*Computer Algebra in Scientific Computing - 20th International Workshop, CASC 2018, Proceedings.*Koepf, W., Seiler, W. M., Gerdt, V. P. & Vorozhtsov, E. V. (eds.). Springer, Vol. 11077. p. 187-196 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11077 LNCS).

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

## 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