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 Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## 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

1
Citations

### 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

Betti numbers

Upper bound

Minkowski Sum

Polynomial

Polytopes

### 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

Open Access

File

1
Citations

### 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

Vorobjov, N. & Gabrielov, A., 1 Sep 2017, In : Computational Complexity. 26, 3, p. 687-715 28 p.Research output: Contribution to journal › Article

Open Access

File