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1. Jaco W, Rubinstein JH, Spreer J, Tillmann S
William Jaco, Joachim Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann: Slope norm and an algorithm to compute the crosscap number, Algebraic and Geometric Topology, 24 (2024), no. 8, 4307–4351.


2. Rubinstein JH, Spreer J, Tillmann S
J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann: A New Family of Minimal Ideal Triangulations of Cusped Hyperbolic 3–manifolds, 2021-2022 MATRIX Annals, MATRIX Book Series, Springer Nature, Switzerland, (2024), 1–24. ISBN 9783031474170.


3. Spreer J, Tillmann S
Jonathan Spreer and Stephan Tillmann: Determining the trisection genus of orientable and non-orientable PL 4-Manifolds through Triangulations, Experimental Mathematics, 31 (2022), no. 3, 807–907.


4. Porti J, Tillmann S
Joan Porti, Stephan Tillmann: Projective Structures on a Hyperbolic 3-orbifold, Acta Mathematica Vietnamica, 46 (2021), 347–355.


5. Rubinstein JH, Tillmann S
Hyam Rubinstein and Stephan Tillmann: Multisections of piecewise linear manifolds, Indiana University Mathematics Journal, 69 (2020), no. 6, 2209–2239.


6. Rubinstein JH, Segerman H, Tillmann S
J Hyam Rubinstein, Henry Segerman and Stephan Tillmann: Traversing three-manifold triangulations and spines, L'Enseignement Mathematique, 65 (2020), no. 1/2, 155–206.


7. Friedl S, Tillmann S
Stefan Friedl, Stephan Tillmann: Two-generator one-relator groups and marked polytopes, Annales de L'Institut Fourier, 70 (2020), no. 2, 831–879.


8. Casella A, Katerba C, Tillmann S
Alex Casella, Charles Katerba and Stephan Tillmann: Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds, Proceedings of the American Mathematical Society, 148 (2020), no. 5, 2257––2271.


9. Jaco W, Rubinstein JH, Spreer J, Tillmann S
William Jaco, J Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann: \(\mathbb{Z}_2\)-Thurston norm and complexity of 3-manifolds, II, Algebraic and Geometric Topology, 20 (2020), no. 1, 503–529.


10. Spreer J, Tillmann S
Jonathan Spreer and Stephan Tillmann: Determining the trisection genus of orientable and non-orientable PL 4-manifolds through triangulations., Experimental Mathematics, (2020), To appear.


11. Jaco W, Rubinstein JH, Spreer J, Tillmann S
William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann: On minimal ideal triangulations of cusped hyperbolic 3-manifolds, Journal of Topology, 13 (2020), no. 1, 308–342.


12. Rubinstein JH, Segerman H, Tillmann S
J Hyam Rubinstein, Henry Segerman and Stephan Tillmann: Traversing three-manifold triangulations and spines, L’Enseignement Mathématique, 65 (2019), no. 2, 155–206. MR4057358


13. Chu M, Tillmann S
Michelle Chu and Stephan Tillmann: Reflections on trisection genus, Revue Roumaine de Mathematiques Pures et Appliquees, 64 (2019), no. 4, 395–402. MR4049694


14. Haraway RC, Tillmann S
Robert C Haraway, Stephan Tillmann: Tessellating the Moduli Space of Strictly Convex Projective Structures on the Once-Punctured Torus, Experimental Mathematics, 28 (2019), no. 3, 369–384. MR3985841


15. Spreer J, Tillmann S
Jonathan Spreer and Stephan Tillmann: Unravelling the Dodecahedral Spaces, 2016 MATRIX annals, MATRIX Book Ser., Springer, Cham, (2018), 323–347. ISBN 978-3-319-72299-3.


16. Bell M, Hass J, Rubinstein JH, Tillmann S
Mark Bell, Joel Hass, Joachim Hyam Rubinstein and Stephan Tillmann: Computing trisections of 4-manifolds, Proceedings of the National Academy of Sciences of the United States of America, 115 (2018), no. 43, 10901–10907.


17. Rubinstein JH, Tillmann S
J Hyam Rubinstein and Stephan Tillmann: Generalized trisections in all dimensions, Proceedings of the National Academy of Sciences of the United States of America, 115 (2018), no. 43, 10908–10913.


18. Friedl S, Gill M, Tillmann S
S Friedl, M Gill and S Tillmann: Linear representations of 3-manifold groups over rings, Proceedings of the American Mathematical Society, 146 (2018), no. 11, 4951–4966.


19. Spreer J, Tillmann S
Jonathan Spreer and Stephan Tillmann: The trisection genus of standard simply connected PL 4-manifolds, Leibniz International Proceedings in Informatics, LIPICS, 34th International Symposium on Computational Geometry (SoCG 2018), Bettina Speckmann and Csaba D. Tóth (eds.), Dagstuhl Publishing, Germany, (2018), 71:1–13. ISBN 1868-8969.


20. Chang HC, Erickson J, Letsche D, Mesmay A, Schleimer S, Sedgwick E, Thurston D, Tillmann S
Hsien-Chih Chang, Jeff Erickson, David Letsche, Arnaud de Mesmay, Saul Schleimer, Eric Sedgwick, Dylan Thurston and Stephan Tillmann: Tightening Curves on Surfaces via Local Moves, Proceedings of the Twenty-ninth Annual ACM–SIAM Symposium on Discrete Algorithms, The Twenty-ninth Annual ACM–SIAM Symposium on Discrete Algorithms (SODA 2018), Artur Czumaj (ed.), SIAM, —, (2018), 121–135. ISBN 978-1-61197-503-1.


21. Cooper D, Long D, Tillmann S
D Cooper, D Long, S Tillmann: Deforming convex projective manifolds, Geometry and Topology, 22 (2018), no. 3, 1349–1404.


22. Friedl S, Schreve K, Tillmann S
S Friedl, K Schreve, S Tillmann: Thurston norm via Fox calculus, Geometry and Topology, 21 (2017), no. 6, 3759–3784.


23. Luo F, Tillmann S
Feng Luo and Stephan Tillmann: A new combinatorial class of 3-manifold triangulations, Asian Journal of Mathematics, 21 (2017), no. 3, 543–570.


24. Casella A, Luo F, Tillmann S
Alex Casella, Feng Luo and Stephan Tillmann: Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds, Proceedings of the American Mathematical Society, 145 (2017), no. 8, 3543–3560.


25. Jaco W, Rubinstein JH, Spreer J, Tillmann S
William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann: On minimal ideal triangulations of cusped hyperbolic 3-manifolds, (2019), preprint.


26. Jaco W, Rubinstein JH, Spreer J, Tillmann S
William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann: Z2-Thurston Norm and Complexity of 3-Manifolds, II, (2019), preprint.


27. Rubinstein JH, Tillmann S
J Hyam Rubinstein, Stephan Tillmann: Generalised trisections in all dimensions, (2018), preprint.


28. Haraway R, Tillmann S
Haraway, R. and Tillmann, S.: Tessellating the moduli space of strictly convex projective structures on the once-punctured torus, (2016), preprint.


29. Klaff B, Tillmann S
Ben Klaff and Stephan Tillmann: A birationality result for character varieties, Mathematical Research Letters, 23 (2016), no. 4, 1099–1110. MR3554502


30. Jaco W, Johnson J, Spreer J, Tillmann S
William Jaco, Jesse Johnson, Jonathan Spreer, Stephan Tillmann: Bounds for the genus of a normal surface, Geometry and Topology, 20 (2016), 1625–1671. MR3523065


31. Cooper D, Tillmann S
Daryl Cooper and Stephan Tillmann: Complexity functions on 1–dimensional cohomology, Revue Roumaine de Mathématiques Pures et Appliquées, 60 (2015), no. 4, 535–550.


32. Rubinstein JH, Tillmann S
J H Rubinstein, S Tillmann: Even triangulations of n–dimensional pseudo-manifolds, Algebraic & Geometric Topology, 15 (2015), no. 5, 2949–2984.


33. Cooper D, Long DD, Tillmann S
D Cooper, D D Long, S Tillmann: On convex projective manifolds and cusps, Advances in Mathematics, 277 (2015), 181–251.


34. Burton BA, Coward A, Tillmann S
Benjamin A Burton, Alexander Coward, Stephan Tillmann: Computing Closed Essential Surfaces in Knot Complements, Proceedings of the twenty-ninth annual symposium on Computational geometry, 29th annual symposium on Computational geometry, SOCG, ACM, New York, USA, (2013), 405–413.


35. Luo F, Tillmann S, Yang T
Feng Luo, Stephan Tillmann and Tian Yang: Thurston's spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3-manifolds, Proceedings of the American Mathematical Society, 141 (2013), 335–350.


36. Rubinstein JH, Bökstedt M, Hodgson CD, Segerman H, Tillmann S
J Hyam Rubinstein, Marcel Bökstedt, Craig D. Hodgson, Henry Segerman and Stephan Tillmann: Triangulations of n-Manifolds, Oberwolfach Reports 24/2012, Triangulations, Gert-Martin Greuel (Editor-in-Chief) (ed.), EMS Publishing House, Switzerland, (2012), 1433–1436. ISBN 1660-8933.


37. Tillmann S
Stephan Tillmann: Structure of 0-efficient or minimal triangulations, Oberwolfach Reports, Volume 9, Issue 2, 2012, Triangulations, Gert-Martin Greuel (Editor-in-Chief) (ed.), Oberwolfach Reports, EMS Publishing House, Zürich, Switzerland, (2012), 1474–1478. ISBN ISSN: 1660-8933.


38. Tillmann S
Stephan Tillmann: Degenerations of ideal hyperbolic triangulations, Mathematische Zeitschrift, 272 (2012), no. 3-4, 793–823. MR2995140


39. Burton BA, Rubinstein JH, Tillmann S
Ben Burton, Hyam Rubinstein and Stephan Tillmann: The Weber-Seifert dodecahedral space is non-Haken, Trans Amer Math Soc, 364 (2012), no. 2, 911–932. MR2846358


40. Tillmann S
Stephan Tillmann: Geometry & Topology Down Under, Gazette of the Australian Mathematical Society, 38 (2011), no. 5, 261–263.


41. Segerman H, Tillmann S
Henry Segerman and Stephan Tillmann: Pseudo-developing maps for ideal triangulations I: essential edges and generalised hyperbolic gluing equations, Topology and geometry in dimension three, Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures, Weiping Li, Loretta Bartolini, Jesse Johnson, Feng Luo, Robert Myers and J. Hyam Rubinstein (eds.), Contemporary Mathematics, Amer. Math. Soc., Providence, RI, (2011), 85–102. ISBN 978-0-8218-5295-8. MR2866925


42. Jaco W, Rubinstein JH, Tillmann S
William Jaco, Hyam Rubinstein and Stephan Tillmann: Coverings and Minimal Triangulations of 3-Manifolds, Algebraic and Geometric Topology, 11 (2011), 1257–1265.


43. Hodgson CD, Rubinstein JH, Segerman H, Tillmann S
Stephan Tillmann, Craig Hodgson, Hyam Rubinstein and Henry Segerman: Veering triangulations admit strict angle structures, Geometry and Topology, 15 (2011), 2073–2089.


44. Jaco W, Rubinstein JH, Tillmann S
William Jaco, Hyam Rubinstein and Stephan Tillmann: Minimal triangulations for an infinite family of lens spaces, Journal of Topology, 2 (2009), no. 1, 157–180.


45. Cooper D, Tillmann S
Daryl Cooper, Stephan Tillmann: The Thurston norm via normal surfaces, Pacific Journal of Mathematics, 239 (2009), 1–15.


46. Luo F, Tillmann S
Stephan Tillmann and Feng Luo: Angle structures and normal surfaces, Trans Amer Math Soc, 360 (2008), 2849–2866.


47. Luo F, Schleimer S, Tillmann S
Stephan Tillmann, Feng Luo and Saul Schleimer: Geodesic ideal triangulations exist virtually, Proc Amer Math Soc, 136 (2008), 2625–2630.


48. Tillmann S
Stephan Tillmann: Normal surfaces in topologically finite 3-manifolds, L'Enseignement Mathématique, 54 (2008), 329–380.


49. Tillmann S
Stephan Tillmann: Applications of tropical geometry to groups and manifolds, Tropical geometry, Tropical Geometry, Gert-Martin Greuel (Editor-in-Chief) (ed.), Oberwolfach Reports, European Mathematical Society Publ. House, Zürich, Switzerland, (2007), 3281–3283. ISBN 1660-8933. MR2463651


50. Chesebro E, Tillmann S
Stephan Tillmann and Eric Chesebro: Not all boundary slopes are strongly detected by the character variety, Communications in Analysis and Geometry, 15 (2007), 695–723.


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