Maryam Mirzakhani

Geometry and Topology · 2006–2018

A researcher in the Science corpus: 13 papers; trusts 40 researchers and is trusted by 47 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 113 citations into it; #262 of 7,422 by trust here, #372 by citations
• Mathematical Physics — 101 citations into it; #235 of 8,562 by trust here, #314 by citations
• Applied Mathematics — 25 citations into it; #434 of 7,620 by trust here, #777 by citations
• Discrete Mathematics and Combinatorics — 18 citations into it
• Computational Theory and Mathematics — 15 citations into it; #7,994 of 12,182 by trust here, #9,804 by citations
• Statistical and Nonlinear Physics — 11 citations into it; #9,623 of 10,127 by trust here, #9,324 by citations
• Theoretical Computer Science — 7 citations into it
• Algebra and Number Theory — 6 citations into it

Whom Maryam Mirzakhani trusts overall

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

1. A. Eskin
2. Peter Zograf
3. Igor Rivin
4. Ara Basmajian
5. A. Okounkov
6. Curtis T. McMullen
7. S. Wolpert
8. William M. Goldman
9. Artur Avila
10. Dave Witte Morris

Who trusts Maryam Mirzakhani overall

1. Kefeng Liu
2. D. Stanford
3. A. Wright
4. Vincent Delecroix
5. Peter Zograf
6. Bram Petri
7. V. Bouchard
8. V. Erlandsson
9. Phil Saad
10. F. Labourie

Papers from Maryam Mirzakhani's perspective

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

1. Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces (Inventiones Mathematicae)
2. Weil-Petersson volumes and intersection theory on the moduli space of curves (Journal of The American Mathematical Society)
3. The Riemann Surfaces
4. Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
5. Ratner's Theorems on Unipotent Flows
6. Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus
7. On the large genus asymptotics of Weil-Petersson volumes
8. The theta characteristic of a branched covering
9. Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
10. Rational billiards and flat structures

Their papers

• Invariant and stationary measures for the action on Moduli space (2018) — 88 citations
• Lengths of closed geodesics on random surfaces of large genus (2017) — 79 citations
• Counting Mapping Class group orbits on hyperbolic surfaces (2016) — 71 citations
• The boundary of an affine invariant submanifold (2015) — 56 citations
• Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space (2013) — 310 citations
• Invariant and stationary measures for the SL(2,R) action on Moduli space (2013) — 258 citations
• Towards large genus asymptotics of intersection numbers on moduli spaces of curves (2011) — 71 citations
• Ergodic Theory of the Earthquake Flow (2010) — 67 citations
• Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus (2010) — 161 citations
• Growth of the number of simple closed geodesics on hyperbolic surfaces (2008) — 233 citations
• Weil-Petersson volumes and intersection theory on the moduli space of curves (2006) — 353 citations
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces (2006) — 489 citations
• Lattice Point Asymptotics and Volume Growth on Teichmuller space. (2006) — 90 citations