Math Department Faculty

Joshua Greene

Professor

Photo of Joshua Greene

Joshua Greene

Ph.D.

Contact

Maloney Hall 527

Telephone: 617-552-1007

Email: joshua.greene@bc.edu

Education

  • B.S., Harvey Mudd College
  • M.Sc., University of Chicago
  • Ph.D., Princeton University

Papers

1. arXiv:1610.04810 [pdf, other]
Title: (1,1) L-space knots
Authors: Joshua Evan Greene, Sam Lewallen, Faramarz Vafaee
Comments: 15 pages, 4 figures
Subjects: Geometric Topology (math.GT)
2. arXiv:1608.01589 [pdf, other]
Title: Coloring curves on surfaces
Authors: Jonah Gaster, Joshua Evan Greene, Nicholas G. Vlamis
Comments: 32 pages, 10 figures
Subjects: Geometric Topology (math.GT); Combinatorics (math.CO)
3. arXiv:1512.08244 [pdf, other]
Title: A note on applications of the d-invariant and Donaldson's theorem
Authors: Joshua Evan Greene
Comments: 7 pages, 1 figure
Subjects: Geometric Topology (math.GT)
4. arXiv:1511.06329 [pdf, other]
Title: Alternating links and definite surfaces
Authors: Joshua Evan Greene
Comments: 11 pages, 1 figure
Subjects: Geometric Topology (math.GT)
5. arXiv:1411.6329 [pdf, ps, other]
Title: Strong Heegaard diagrams and strong L-spaces
Authors: Joshua Evan Greene, Adam Simon Levine
Comments: 33 pages, 9 figures
Journal-ref: Algebr. Geom. Topol. 16 (2016) 3167-3208
Subjects: Geometric Topology (math.GT)
6. arXiv:1305.0517 [pdf, other]
Title: Non-simple genus minimizers in lens spaces
Authors: Joshua Evan Greene, Yi Ni
Comments: 16 pages, 6 figures
Subjects: Geometric Topology (math.GT)
7. arXiv:1107.5232 [pdf, other]
Title: Alternating links and left-orderability
Authors: Joshua Evan Greene
Comments: 3 pages, 1 figure
Subjects: Geometric Topology (math.GT); Group Theory (math.GR)
8. arXiv:1106.5559 [pdf, ps, other]
Title: Turaev torsion, definite 4-manifolds, and quasi-alternating knots
Authors: Joshua Evan Greene, Liam Watson
Comments: 11 pages, 3 figures
Subjects: Geometric Topology (math.GT)
9. arXiv:1103.0487 [pdf, other]
Title: Lattices, graphs, and Conway mutation
Authors: Joshua Evan Greene
Comments: 26 pages, 4 figures
Subjects: Geometric Topology (math.GT); Combinatorics (math.CO); Number Theory (math.NT)
10. arXiv:1010.6257 [pdf, other]
Title: The lens space realization problem
Authors: Joshua Evan Greene
Comments: 52 pages, 1 figure
Subjects: Geometric Topology (math.GT)
11. arXiv:1009.1130 [pdf, other]
Title: L-space surgeries, genus bounds, and the cabling conjecture
Authors: Joshua Evan Greene
Comments: 13 pages, 3 figures
Subjects: Geometric Topology (math.GT)
12. arXiv:0906.2222 [pdf, ps, other]
Title: Homologically thin, non-quasi-alternating links
Authors: Joshua Greene
Comments: 10 pages, 2 figures
Subjects: Geometric Topology (math.GT)
13. arXiv:0902.1573 [pdf, ps, other]
Title: On closed 3-braids with unknotting number one
Authors: Joshua Greene
Comments: 29 pages, 4 figures
Subjects: Geometric Topology (math.GT)
14. arXiv:0810.0862 [pdf, ps, other]
Title: A surgery triangle for lattice cohomology
Authors: Joshua Greene
Comments: 9 pages
Journal-ref: Algebr. Geom. Topol. 13 (2013) 441-451
Subjects: Geometric Topology (math.GT); Symplectic Geometry (math.SG)
15. arXiv:0805.1381 [pdf, ps, other]
Title: A spanning tree model for the Heegaard Floer homology of a branched double-cover
Authors: Joshua Greene
Comments: 43 pages, 20 figures
Subjects: Geometric Topology (math.GT)
16. arXiv:0706.3398 [pdf, ps, other]
Title: The slice-ribbon conjecture for 3-stranded pretzel knots
Authors: Joshua Greene, Stanislav Jabuka
Comments: 21 pages, 5 figures. Significantly expanded version, mistake in previous proof corrected
Subjects: Geometric Topology (math.GT)
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