Stephan Tillmann

- •
(with Stefan Friedl and Montek Gill)
(arXiv), submitted for publication.*Linear representations of 3-manifold groups over rings* - • (with Jonathan Spreer),
(arXiv), submitted for publication.*Unravelling the Dodecahedral Spaces* - •
(with Stefan Friedl and Wolfgang Lück)
(arXiv), submitted for publication.*Groups and polytopes* - •
(with Hyam Rubinstein)
(arXiv), submitted for publication.*Multisections of piecewise linear manifolds* - •
(with Robert C. Haraway III)
(arXiv), submitted for publication.*Tessellating the moduli space of strictly convex projective structures on the once-punctured torus* - •
(with Daryl Cooper and
Darren Long)
(arXiv), submitted for publication.*Deforming convex projective manifolds* - • (with Stefan Friedl)
(arXiv), submitted for publication.*Two-generator one-relator groups and marked polytopes*

- •
(with Stefan Friedl and Kevin Schreve)
(arXiv), to appear in Geometry & Topology.*Thurston norm via Fox calculus* - •
(with Alex Casella and Feng Luo)
(arXiv), to appear in the Proceedings of the American Mathematical Society.*Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds* - •
(with Feng Luo)
(arXiv), to appear in the Asian Journal of Mathematics.*A new combinatorial class of 3-manifold triangulations*

- (with Ben Klaff)
*A birationality result for character varieties* - (with Bus Jaco,
Jesse Johnson
and Jonathan Spreer),
(arXiv, publisher), Geometry & Topology 20 (2016) 1625–1671.*Bounds for the genus of a normal surface* -
(with Sampson Wong)
(arXiv, publisher), Journal of Computational Geometry 7 (2016), no.1, 237–255.*An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface* -
(with Ben Burton,
Murray Elder and
Arkadius Kalka)
(arXiv, publisher), Journal of Computational Geometry 7 (2016), no.1, 70-85.*2-manifold recognition is in logspace* -
(with Craig Hodgson, Hyam Rubinstein and Henry Segerman)
(arXiv, publisher), Annales de la Faculté des Sciences de Toulouse 24 (2015), no.5, 1103-1145 (special issue dedicated to Michel Boileau).*Triangulations of 3-manifolds with essential edges* - (with Daryl Cooper)
(arXiv, publisher), Revue Roumaine de Mathématiques Pures et Appliquées 60 (2015), no. 4, 535-550 (Proceedings of JARCS 2013).*Complexity functions on 1-dimensional cohomology* - (with Hyam Rubinstein)
(arXiv, publisher), Algebraic and Geometric Topology 15 (2015), no. 5, 2949–2984.*Even triangulations of n-dimensional pseudo-manifolds* - (with Daryl Cooper and
Darren Long)
(arXiv), Advances in Mathematics 277 (2015), 181-251.*On Convex Projective Manifolds and Cusps* - (with Ben Burton and
Alexander Coward)
*Computing closed essential surfaces in knot complements* - (with Bus Jaco and Hyam Rubinstein)
(arXiv), Mathematische Annalen 356 (2013) no. 1, 1-22.*Z2-Thurston Norm and Complexity of 3-Manifolds* - (with Feng Luo and Tian Yang)
(arXiv), Proceedings of the American Mathematical Society 141 (2013), no. 1, 335-350.*Thurston's Spinning Construction and Solutions to the Hyperbolic Gluing Equations for Closed Hyperbolic 3-Manifolds* -
(arXiv), Mathematische Zeitschrift 272 (2012), no. 3-4, 793-823.*Degenerations of ideal hyperbolic triangulations* - (with Ben Burton and Hyam
Rubinstein)
(arXiv, publisher), Transactions of the American Mathematical Society 364 (2012), no. 2, 911-932.*The Weber-Seifert dodecahedral space is non-Haken* - (with Craig Hodgson, Hyam Rubinstein and Henry Segerman)
(arXiv), Geometry & Topology 15 (2011) 2073-2089.*Veering triangulations admit strict angle structures* - (with Henry Segerman)
(arXiv), in*Pseudo-developing maps for ideal triangulations I: Essential edges and generalised hyperbolic gluing equations**Topology and geometry in dimension three*, 85-102, Contemp. Math., 560, Amer. Math. Soc., Providence, RI, 2011. - (with Bus Jaco and Hyam Rubinstein)
(arXiv), Algebraic and Geometric Topology 11 (2011) 1257-1265.*Coverings and Minimal Triangulations of 3-Manifolds* - (with Bus Jaco and Hyam Rubinstein)
(arXiv), Journal of Topology 2 (2009), no. 1, 157-180.*Minimal triangulations for an infinite family of lens spaces* - (with Daryl Cooper)
(arXiv), Pacific Journal of Mathematics 239 (2009) 1-15.*Thurston norm via normal surfaces* -
(arXiv), L'Enseignement Mathématique, 54 (2008) 329-380.*Normal surfaces in topologically finite 3-manifolds* - (with Feng Luo and Saul Schleimer)
(arXiv), Proceedings of the American Mathematical Society 136 (2008) 2625-2630.*Geodesic ideal triangulations exist virtually* - (with Feng Luo)
(arXiv), Transactions of the American Mathematical Society 360 (2008) 2849-2866.*Angle structures and normal surfaces* - (with
Eric Chesebro)
(arXiv), Communications in Analysis and Geometry 15 (2007) 695-723.*Not all boundary slopes are strongly detected by the character variety* -
(arXiv) the paper (minus the example) appeared in Topology 44 (2005) 203-216.*Boundary slopes and the logarithmic limit set* -
(arXiv), Algebraic and Geometric Topology 4 (2004) 133-149.*Character varieties of mutative 3-manifolds* -
(223 KB), Journal of Knot Theory and its Ramifications 9 (2000) 557 - 575.*On the Kinoshita-Terasaka knot and generalised Conway mutation*

- •
(publisher), Oberwolfach Reports, Volume 9, Issue 2 (2012) 1474-1478.*Structure of 0–efficient or minimal triangulations* - •
(publisher), Oberwolfach Reports, Volume 4, Issue 4 (2007) 3281-3283.*Applications of tropical geometry to groups and manifolds*

- •
(publisher), Mitteilungen der DMV 24 (2016), no. 4, 197–207.*Warum glücklich statt einfach nur normal?*

- Geometry and Topology Down Under (with Craig Hodgson, Bus Jaco and Marty Scharlemann, eds.), Contemp. Math., 597, Amer. Math. Soc., Providence, RI, 2013.

- (with Benjamin Burton, Herbert Edelsbrunner and Jeff Erickson) Computational Geometric and Algebraic Topology to appear in Oberwolfach Reports.
- Computational & Algorithmic Topology in Sydney, Gazette of the Australian Mathematical Society, Volume 41, Number 4 (2014) 229-230.
- Geometry & Topology Down Under, Gazette of the Australian Mathematical Society, Volume 38, Number 5 (2011) 261-263.

- Finding hyperbolic structures of and surfaces in 3-manifolds (pdf file, 747 KB, 82 pages), notes on Culler-Shalen theory, 2003.

- On character varieties: Surfaces associated to mutation & deformation of hyperbolic 3-manifolds (pdf file, 1.8 MB), PhD thesis (supervised by Craig Hodgson and Walter Neumann), The University of Melbourne (2002). Most of the material is contained in the above research articles and the notes on Culler-Shalen theory.

- MR2525782
David Gabai, Robert Meyerhoff and Peter Milley:
*Minimum volume cusped hyperbolic three-manifolds*. J. Amer. Math. Soc. 22 (2009), no. 4, 1157--1215. -
MR2423275 Bernard Perron:
*Filtration de Johnson et groupe de Torelli modulo $p$, $p$ premier. (French)*. C. R. Math. Acad. Sci. Paris 346 (2008), no. 11-12, 667--670. - MR2390346 Steven Boyer, Marc Culler, Peter Shalen and Xingru Zhang:
*Characteristic subsurfaces, character varieties and Dehn fillings*. Geom. Topol. 12 (2008), no. 1, 233--297. - MR2349300
Hitoshi Murakami:
*The colored Jones polynomials and the Alexander polynomial of the figure-eight knot*. JP J. Geom. Topol. 7 (2007), no. 2, 249--269. -
MR2329768
Kazuhiro Hikami:
*Asymptotics of the colored Jones polynomial and the A-polynomial*. Nuclear Phys. B 773 (2007), no. 3, 184--202. -
MR2323541
Hitoshi Murakami:
*A version of the volume conjecture*. Adv. Math. 211 (2007), no. 2, 678--683. - MR2263219 Ian Agol, Marc Culler and Peter Shalen:
*Dehn surgery, homology and hyperbolic volume*. Algebr. Geom. Topol. 6 (2006), 2297--2312. - MR2263219 Stefan Friedl and Taehee Kim:
*The Thurston norm, fibered manifolds and twisted Alexander polynomials*. Topology 45 (2006), no. 6, 929--953. - MR2243744 Jean-Baptiste Meilhan:
*Goussarov-Habiro theory for string links and the Milnor-Johnson correspondence*. Topology Appl. 153 (2006), no. 14, 2709--2729. - MR2191691 Ser Peow Tan, Yan Loi Wong and Ying Zhang:
*The SL(2,C) character variety of a one-holed torus*. Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 103--110 (electronic). - MR2199344 Dmitriy Derevnin, Alexander Mednykh and Michele Mulazzani:
*Volumes for twist link cone-manifolds*. Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 129--145. - MR2187606 Sam Nelson:
*Virtual crossing realization*. J. Knot Theory Ramifications 14 (2005), no. 7, 931--951. - MR2153977 Shelly Harvey:
*Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm*. Topology 44 (2005), no. 5, 895--945. - MR2161256 Xingru Zhang:
*Trace fields of representations and virtually Haken 3-manifolds*. Q. J. Math. 56 (2005), no. 3, 431--442. - MR2135546 Emmanuel Auclair and Christine Lescop:
*Clover calculus for homology 3-spheres via basic algebraic topology*. Algebr. Geom. Topol. 5 (2005), 71--106 (electronic). - MR2147736 Atsushi Ishii and Taizo Kanenobu:
*Different links with the same Links-Gould invariant*. Osaka J. Math. 42 (2005), no. 2, 273--290. - MR2116925 Nafaa Chbili:
*Symétries en dimension trois: une approche quantique*. Cubo 6 (2004), no. 4, 133--165.