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My research topics are:
- knot theory,
- low dimensional topology,
- contact and symplectic topology,
- ...
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Preprints
Papers
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(with
Nicolas Bédaride
and
Franz Gaähler)
Cohomology groups for spaces of twelve-fold tilings
IMRN (International Mathematics Research Notices)
18 (2022), 14181-14254
Preprint
arXiv:2012.00379
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(with
Alex Degtyarev
and
Vincent Florens)
Slopes and signatures of links
Fundamenta Mathematicae
258 (1) (2022), 65-114
Preprint
arXiv:1802.01836
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(with
Alex Degtyarev
and
Vincent Florens)
Slopes of links and signature formulas
Topology, geometry, and dynamics—V. A. Rokhlin-Memorial, Contemp. Math.,
772 Amer.
Math. Soc., (2021), 93-105
Preprint
arXiv:2002.02790
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(with Daniel Kasprowski, Peter Lambert-Cole and Markus Land)
Topologically flat embedded 2-spheres in specific simply connected 4-manifolds
2019-20 MATRIX annals, MATRIX Book Ser. 4 Springer, Cham, (2021), 111-116
Preprint
arXiv:1909.05512
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Complementary legs and rational balls
Michigan Mathematical Journal 68(3) (2019), 637-649
Preprint
arXiv:1701.01980
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(with
Paolo Aceto
and
Marco Golla)
Handle decompositions of rational balls and Casson-Gordon
invariants
Proceedings of the AMS 146(9) (2018), 4059-4072
Preprint
arXiv:1610.10032
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A note on graphs and rational balls
RACSAM Serie A 112 (3) (2018), 705-716
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(with
Benjamin Audoux
and
Fionntan Roukema)
On hyperbolic knots in S3 with exceptional
surgeries at maximal distance
Algebraic & Geometric Topology
18(4) (2017), 2371-2417
Preprint
arXiv:1701.01751
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(with
Alex Degtyarev
and
Vincent Florens)
The signature of a splice
IMRN (International Mathematics Research Notices)
8 (2017), 2249-2283
Preprint
arXiv:1409.5873
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(with
Ken Baker and
Dorothy Buck) Surgeries on knots between S1xS2 and
lens spaces
Communications in Analysis and Geometry,
23-3 (2016), 431-470
Preprint
arXiv:1302.7011
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On the slice-ribbon conjecture for pretzel knots
Algebraic & Geometric Topology
15-4 (2015),
2133-2173
Preprint
arXiv:1309.0550
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(with Xiang-Dong Hou, Gary L. Mullen and James A. Sellers)
On the Dimension of the Space of Magic Squares Over a
Field
Linear Algebra and its Applications
438 (2013), no. 8,
3463-3475
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(with
Paolo Lisca)
Stein fillable Seifert fibered 3-manifolds
Algebraic & Geometric Topology
11 (2011), 625-642
Preprint:
arXiv:1007.3010
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On the slice-ribbon conjecture for Montesinos knots
Transactions of the American Mathematical Society
364 (2012), 233-285
Preprint:
arXiv:0910.4601
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