Ilya Tyomkin

Geometry and Topology · 2006–2010

A researcher in the Science corpus: 2 papers; trusts 12 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 13 citations into it; #4,707 of 7,422 by trust here, #4,440 by citations
• Computational Theory and Mathematics — 10 citations into it; #7,528 of 12,182 by trust here, #7,851 by citations
• Algebra and Number Theory — 9 citations into it; #1,742 of 2,864 by trust here, #1,608 by citations

Whom Ilya Tyomkin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. G. Mikhalkin
2. Eugenii Shustin
3. Charles Cadman
4. T. Nishinou
5. L. Borisov
6. Bernd S Siebert
7. Ravi Vakil
8. Andreas Gathmann
9. Linda Chen
10. Gregory G. Smith

Who trusts Ilya Tyomkin overall

1. Matthew Baker
2. Sam Payne
3. T. Kuwagaki
4. Joseph Rabinoff

Papers from Ilya Tyomkin's perspective

Ordered by how strongly the researchers Ilya Tyomkin trusts endorse each paper. Same corpus, a different order for every researcher.

1. Enumerative tropical algebraic geometry
2. Counting curves on rational surfaces
3. Using stacks to impose tangency conditions on curves
4. A tropical approach to enumerative geometry
5. Kontsevich's formula and the WDVV equations in tropical geometry
6. The orbifold Chow ring of toric Deligne-Mumford stacks
7. The numbers of tropical plane curves through points in general position
8. Toric degenerations of toric varieties and tropical curves (Duke mathematical journal)
9. Counting curves via lattice paths in polygons
10. Real algebraic curves, the moment map and amoebas

Their papers

• Tropical geometry and correspondence theorems via toric stacks (2010) — 106 citations
• On Severi Varieties on Hirzebruch Surfaces (2006) — 54 citations