Noam D. Elkies

Geometry and Topology · 2000–2012

A researcher in the Science corpus: 5 papers; trusts 5 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 15 citations into it; #2,179 of 7,422 by trust here, #3,547 by citations
• Mathematical Physics — 6 citations into it; #6,080 of 8,562 by trust here, #6,178 by citations
• Algebra and Number Theory — 5 citations into it

Whom Noam D. Elkies trusts overall

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

1. Abhinav Kumar
2. Ronald van Luijk
3. Douglas Ulmer
4. T. Shioda
5. Jorma Jormakka
6. Qing Liu

Who trusts Noam D. Elkies overall

1. Jens Marklof
2. Henry Cohn
3. Gary L. Mullen
4. Abhinav Kumar
5. Daniel Panario
6. Fernando Mário de Oliveira Filho
7. Florian Pfender
8. M. Schuett
9. David de Laat
10. Frank Vallentin

Papers from Noam D. Elkies's perspective

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

1. Kummer sandwich theorem of certain elliptic K3 surfaces
2. K3 surfaces with Picard number one and infinitely many rational points
3. Elliptic fibrations on a generic Jacobian Kummer surface
4. On the Brauer group of a surface
5. Jacobians of Genus One Curves
6. K3 Surfaces Associated with Curves of Genus Two
7. Elliptic parameters and defining equations for elliptic fibrations on a Kummer surface
8. A proof of the Kepler conjecture
9. Elliptic curves with large rank over function fields
10. Three lectures on elliptic surfaces and curves of high rank

Their papers

• New upper bounds on sphere packings I (2001) — 400 citations
• Three lectures on elliptic surfaces and curves of high rank (2007) — 68 citations
• Explicit Towers of Drinfeld Modular Curves (2000) — 73 citations
• K3 surfaces and equations for Hilbert modular surfaces (2012) — 68 citations
• Gaps in √n mod 1 and ergodic theory (2004) — 109 citations