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Joshua Greene
Math Department Faculty
Joshua Greene
Professor
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Joshua Greene
Ph.D.
Contact
Maloney Hall 527
Telephone: 617-552-1007
Email:
joshua.greene@uc1112.com
Education
B.S., Harvey Mudd College
M.Sc., University of Chicago
Ph.D., Princeton University
Personal Website
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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