Don Zagier

Geometry and Topology · 2000–2019

A researcher in the Science corpus: 20 papers; trusts 47 researchers and is trusted by 61 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 71 citations into it; #326 of 7,422 by trust here, #501 by citations
• Mathematical Physics — 64 citations into it; #291 of 8,562 by trust here, #554 by citations
• Nuclear and High Energy Physics — 30 citations into it; #3,704 of 6,161 by trust here, #4,811 by citations
• Statistical and Nonlinear Physics — 27 citations into it; #3,317 of 10,127 by trust here, #3,284 by citations
• Algebra and Number Theory — 25 citations into it; #167 of 2,864 by trust here, #204 by citations
• Discrete Mathematics and Combinatorics — 25 citations into it; #385 of 2,017 by trust here, #335 by citations
• Astronomy and Astrophysics — 13 citations into it
• Computational Theory and Mathematics — 12 citations into it

Whom Don Zagier trusts overall

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

1. A. Goncharov
2. T. Terasoma
3. A. Eskin
4. Walter D. Neumann
5. A. Okounkov
6. A. Zorich
7. Kazuo Habiro
8. Freeman J. Dyson
9. K. Ihara
10. Yasuo Ohno

Who trusts Don Zagier overall

1. William Duke
2. Jan H. Bruinier
3. Kathrin Bringmann
4. Ken Ichi Ono
5. Tudor Dimofte
6. Kazuhiro Hikami
7. A. Libgober
8. Amanda Folsom
9. Dawei Chen
10. Bruce C. Berndt

Papers from Don Zagier's perspective

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

1. Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
2. The theta characteristic of a branched covering
3. Split states, entropy enigmas, holes and halos
4. Connected components of the moduli spaces of Abelian differentials with prescribed singularities
5. A Black Hole Farey Tail
6. Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
7. New connections between 4D and 5D black holes
8. Galois symmetries of fundamental groupoids and noncommutative geometry
9. Flat Surfaces
10. Invariant and stationary measures for the action on Moduli space (Publications mathématiques (Bures-sur-Yvette))

Their papers

• Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials (2019) — 64 citations
• Quasimodularity and large genus limits of Siegel-Veech constants (2016) — 63 citations
• Classical Hurwitz numbers and related combinatorics (2016) — 55 citations
• Partitions, quasimodular forms, and the Bloch–Okounkov theorem (2015) — 58 citations
• The Theory of Jacobi Forms (2013) — 982 citations
• Evaluation of the multiple zeta values $\zeta(2,\dots,2,3,2,\dots,2)$ (2012) — 107 citations
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012) — 362 citations
• Densities of Short Uniform Random Walks (2011) — 79 citations
• Quantum modular forms (2010) — 227 citations
• Ramanujan's mock theta functions and their applications (after Zwegers and Ono-Bringmann) (2009) — 200 citations
• Exact results for perturbative Chern-Simons theory with complex gauge group. (2009) — 207 citations
• The 1-2-3 of Modular Forms (2008) — 567 citations
• Elliptic modular forms and their applications. (2008) — 406 citations
• The dilogarithm function. (2007) — 440 citations
• Double Zeta values and modular forms (2006) — 202 citations
• Traces of singular moduli (2002) — 259 citations
• Period functions for Maass wave forms. I. (2001) — 211 citations
• Vassiliev invariants and a strange identity related to the Dedekind eta-function (2001) — 248 citations
• Multiple zeta values of fixed weight, depth, and height (2001) — 113 citations
• Classical and Elliptic Polylogarithms and Special Values of L-Series (2000) — 71 citations