Abhinav Kumar

Geometry and Topology · with Cohn · 2004–2013

A researcher in the Science corpus: 7 papers; trusts 16 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 20 citations into it; #1,630 of 7,422 by trust here, #4,440 by citations
• Applied Mathematics — 14 citations into it; #1,518 of 7,620 by trust here, #2,707 by citations
• Mathematical Physics — 12 citations into it; #4,196 of 8,562 by trust here, #7,868 by citations
• Computational Theory and Mathematics — 8 citations into it; #3,467 of 12,182 by trust here, #5,954 by citations
• Numerical Analysis — 8 citations into it; #708 of 3,586 by trust here, #661 by citations
• Algebra and Number Theory — 7 citations into it
• Electrical and Electronic Engineering — 7 citations into it
• Computer Graphics and Computer-Aided Design — 6 citations into it

Whom Abhinav Kumar trusts overall

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

1. T. Shioda
2. Henry Cohn
3. Noam D. Elkies
4. Ronald van Luijk
5. John C. Baez
6. Philippe G. Ciarlet
7. John H. Conway
8. Pengfei Xia
9. Matthew C. Fickus

Who trusts Abhinav Kumar overall

1. Noam D. Elkies
2. D. Huybrechts
3. M. Schuett
4. Adrian Clingher
5. Henry Cohn
6. Salvatore Torquato
7. T. Shioda
8. Charles F. Doran
9. Tongzhou Wang
10. Frank H. Stillinger

Papers from Abhinav Kumar's perspective

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

1. Kummer sandwich theorem of certain elliptic K3 surfaces
2. Achieving the Welch bound with difference sets (IEEE Transactions on Information Theory)
3. Symmetric informationally complete quantum measurements
4. Three lectures on elliptic surfaces and curves of high rank
5. The Octonions
6. Universally optimal distribution of points on spheres
7. Designs in Grassmannian Spaces and Lattices
8. LAPACK Users' Guide
9. Analytic theory of polynomials
10. New upper bounds on sphere packings II

Their papers

• Optimality and uniqueness of the Leech lattice among lattices (2004) — 153 citations
• Elliptic fibrations on a generic Jacobian Kummer surface (2011) — 72 citations
• Optimal simplices and codes in projective spaces (2013) — 60 citations
• K3 surfaces and equations for Hilbert modular surfaces (2012) — 68 citations
• K3 Surfaces Associated with Curves of Genus Two (2007) — 59 citations
• Universally optimal distribution of points on spheres (2006) — 440 citations
• The densest lattice in twenty-four dimensions (2004) — 50 citations