Publications

2021

• Gaster J, Loustau B (2021). The sum of Lagrange numbers, Proc. Amer. Math. Soc. 149(12):5385-5391 1461
• Taha D (2021). An Extension of the Three Gap Theorem to Interval Exchange Transformations, International Mathematics Research Notices,rnab319 1465
• Disarlo V, Pan H, Randecker A, Tang R (2021). Large-scale geometry of the saddle connection graph, Trans. Amer. Math. Soc. 374(11):8101-8129 1457
• Hu Z, Huang P (2021). Curvature formulas related to a family of stable Higgs bundles, Commun. Math. Phys. 387(3):1491-1514 1459
• Alessandrini D, Disarlo V (2021). Generalizing Stretch Lines for Surfaces with Boundary, International Mathematics Research Notices,rnab222 1456
• Beyrer J, Pozzetti B (2021). A collar lemma for partially hyperconvex surface group representations, Trans. Amer. Math. Soc. 1462
• Farre J (2021). Borel and Volume Classes for Dense Representations of Discrete Groups, International Mathematics Research Notices,rnab078 1458
• Islam M, Zimmer A (2021). A flat torus theorem for convex co-compact actions of projective linear groups, J. London Math. Soc. 103(2):470-489 1460
• Belletti G (2021). The maximum volume of hyperbolic polyhedra, Trans. Amer. Math. Soc. 374(2):1125-1153 1455
• Bowden J, Crowley D, Davis J, Friedl S, Rovi C, Tillmann S (2021). Open Problems in the Topology of Manifolds, 2019-20 MATRIX Annals 4:647-659,Springer International Publishing 1220
• Lopez F, Pozzetti B, Trettel S, Strube M, Wienhard A (2021). Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach, In Proceedings of the 38th International Conference on Machine Learning, vol. 139 of Proceedings of Machine Learning Research, pp. 7090–7101, Eds: Meila, Marina and Zhang, Tong, PMLR 1463
• Randecker A, Tiozzo G (2021). Cusp excursion in hyperbolic manifolds and singularity of harmonic measure, JMD 17(0):183 1464
• Spitz D, Berges J, Oberthaler M, Wienhard A (2021). Finding self-similar behavior in quantum many-body dynamics via persistent homology, SciPost Phys. 11(3),060 1466

2020

• Benson D, Campagnolo C, Ranicki A, Rovi C (2020). Signature cocycles on the mapping class group and symplectic groups, Journal of Pure and Applied Algebra 224(11):106400 1219
• Sun Z, Wienhard A, Zhang T (2020). Flows on the $$mathbf{PGL(V)}$$-Hitchin Component, Geom. Funct. Anal. 30(2):588-692 1221
• DANG N, GLORIEUX O (2020). Topological mixing of Weyl chamber flows, Ergod. Th. Dynam. Sys.:1-27 1218
• Hooper WP, Rafi K, Randecker A (2020). Renormalizing an infinite rational IET, Discrete & Continuous Dynamical Systems – A 40(9):5105-5116 1217

2019

• Ott A (2019). Transgression in bounded cohomology and a conjecture of Monod, J. Topol. Anal.:1-40 955
• DASKALOPOULOS G, MESE C, SANDERS A, VDOVINA A (2019). Surface groups acting on CAT (-1) spaces, Ergod. Th. Dynam. Sys. 39(7):1843-1856 961
• Alessandrini D (2019). Higgs Bundles and Geometric Structures on Manifolds, SIGMA 15 039：32 978
• Collier B, Sanders A (2019). (G,P)-opers and global Slodowy slices, arXiv,math.DG,1911.12844 957
• Alessandrini D, Guichard O, Rogozinnikov E, Wienhard A (2019). Noncommutative coordinates for symplectic representations, arXiv,math.DG,1911.08014 964
• Pozzetti B, Sambarino A, Wienhard A (2019). Anosov representations with Lipschitz limit set, arXiv,math.DG,1910.06627 965
• Pozzetti B, Sambarino A, Wienhard A (2019). Conformality for a robust class of non-conformal attractors, arXiv,math.DG,1902.01303 966
• Burger M, Iozzi A, Parreau A, Pozzetti MB (2019). Currents, Systoles, and Compactifications of Character Varieties, arXiv,math.GT,1902.07680 971
• Franceschini F, Pozzetti MB (2019). The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups, Comment. Math. Helv. 94(1):89-139 973
• Lee G, Marquis L (2019). Anti–de Sitter strictly GHC-regular groups which are not lattices, Trans. Amer. Math. Soc. 372(1):153-186 982
• Beyrer J, Fioravanti E (2019). Cross ratios on CAT(0) cube complexes and marked length-spectrum rigidity, arXiv,math.GT,1903.02447 990
• Beyrer J (2019). Marked length spectrum rigidity for actions on CAT(0) cube complexes, (to appear in Oberwolfach reports 2019/30) 992
• Alessandrini D, Disarlo V (2019). Generalized stretch lines for surfaces with boundary, arXiv,math.GT,1911.10431 1000

2018

• Cooper D, Danciger J, Wienhard A (2018). Limits of Geometries, Trans. Amer. Math. Soc. 370(9):6585-6627 891
• Guichard O, Wienhard A (2018). Positivity and higher Teichmüller theory, European Congress of Mathematics,pp.289-310,European Mathematical Society Publishing House 889
• Burelle J, Treib N (2018). Schottky groups and maximal representations, Geom Dedicata 195(1):215-239 993
• Disarlo V, Parlier H (2018). Simultaneous ips on triangulated surfaces, Michigan Math. J. 67(3):451-464 1002
• García-Prada O, Peón-Nieto A, Ramanan S (2018). Higgs bundles for real groups and the Hitchin-Kostant-Rallis section, Trans. Amer. Math. Soc. 370(4):2907-2953 945
• Ghosh S (2018). The pressure metric on the Margulis multiverse, Geom Dedicata 193(1):1-30 999
• Choi S, Lee G, Marquis L (2018). Convex projective generalized Dehn filling, to appear in Ann. Sci. Éc. Norm. Supér. 981
• Wienhard A, Zhang T (2018). Deforming convex real projective structures, Geom Dedicata 192(1):327-360 890
• Cahn P, Fanoni F, Petri B (2018). Mapping class group orbits of curves with self-intersections, Isr. J. Math. 223(1):53-74 933
• SANDERS A (2018). Entropy, minimal surfaces and negatively curved manifolds, Ergod. Th. Dynam. Sys. 38(1):336-370 959
• Ji L, Schilling A (2018). Toric Varieties vs. Horofunction Compactifications of Polyhedral Norms, L’Enseignement Mathèmatique, 63:375–401 370
• Durham MG, Fanoni F, Vlamis NG (2018). Graphs of curves on infinite-type surfaces with mapping class group actions, Annales de l’Institut Fourier 68(6):2581-2612 931
• Sanders A (2018). The pre-symplectic geometry of opers and the holonomy map, arXiv:1804.04716 [math.DG] 962
• Wienhard A (2018). An invitation to higher Teichmüller theory, Proc. Int. Cong. of Math. 2018, Rio de Janeiro 1:1007-1034 967
• Duchesne B, Lécureux J, Pozzetti MB (2018). Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces, arXiv:1810.10208 [math.GR] 975
• Alessandrini D, Lee G, Schaffhauser F (2018). Hitchin components for orbifolds, arXiV:1811.05366 [math.GT] 977
• Stecker F, Treib N (2018). Domains of discontinuity in oriented flag manifolds, arXiv:1806.04459 [math.DG] 979
• Stecker F (2018). Balanced ideals and domains of discontinuity of Anosov representations, arXiv:1810.11496 [math.GT] 980
• Barbot T, Lee G, Valério VP (2018). Pappus Theorem, Schwartz Representations and Anosov Representations, Annales de l’Institut Fourier 68(6):2697-2741 983
• Ballas S, Danciger J, Lee G (2018). Convex projective structures on nonhyperbolic three-manifolds, Geom. Topol. 22(3):1593-1646 984
• Choi S, Lee G, Marquis L (2018). Deformations of convex real projective manifolds and orbifolds, In Handbook of group actions. Vol. III, vol. 40 of Adv. Lect. Math. (ALM), pp. 263–310, Int. Press, Somerville, MA 987
• Beyrer J (2018). A complete description of the antipodal set of most symmetric spaces of compact type, Osaka J. Math 55(3):567–586 988
• Beyrer J, Fioravanti E (2018). Cubulations and cross ratios on contracting boundaries, arXiv:1810.08087 [math.GT] 989
• Beyrer J, Fioravanti E, Incerti-Medici M (2018). CAT(0) cube complexes are determined by their boundary cross ratio, arXiv,math.GT,1805.08478 991
• Burelle J, Treib N (2018). Schottky presentations of positive representations, arXiv:1807.05286 [math.DG] (to published in Math. Ann.) 995
• Disarlo V, Randecker A, Tang R (2018). Rigidity of the saddle connection complex, arXiV:1810.00961 [math.GT] 1001

2017

• Baba S (2017). 2π-Grafting and complex projective structures with generic holonomy, Geom. Funct. Anal. 27(5):1017-1069 998
• Hartnick T, Ott A (2017). Perturbations of the Spence-Abel equation and deformations of the dilogarithm function, Math. Ann. 368(3-4):1399-1428 953
• Simon GB, Burger M, Hartnick T, Iozzi A, Wienhard A (2017). On weakly maximal representations of surface groups, J. Differential Geom. 105(3):375-404 894
• Sanders A (2017). Domains of discontinuity for almost-Fuchsian groups, Trans. Amer. Math. Soc. 369(2):1291-1308 958
• Haettel T, Schilling A, Walsh C, Wienhard A (2017). Horofunction Compactifications of Symmetric Spaces, arXiV:1705.05026 [math.DG] 893
• Guéritaud F, Guichard O, Kassel F, Wienhard A (2017). Anosov representations and proper actions, Geom. Topol. 21(1):485-584 895
• Dumas D, Sanders A (2017). Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations, arXiv,math.GT,1704.01091 956
• Loustau B, Sanders A (2017). Bi-Lagrangian structures and Teichmüller theory, arXiv,math.DG,1708.09145 960
• Sun Z, Wienhard A, Zhang T (2017). Flows on the PGL(V)-Hitchin component, arXiv,math.DG,1709.03580 968
• Burger M, Iozzi A, Parreau A, Pozzetti MB (2017). A structure theorem for geodesic currents and length spectrum compactifications, arXiv,math.GT,1710.07060 972
• Lee G, Zhang T (2017). Collar lemma for Hitchin representations, Geom. Topol. 21(4):2243-2280 985
• Ghosh S, Treib N (2017). Affine Anosov representations and proper actions, arXiv:1711.09712 [math.GT] 994

2016

• Simon GB, Burger M, Hartnick T, Iozzi A, Wienhard A (2016). On order-preserving representations, Journal of the London Mathematical Society 94(2):525-544 897
• Ji L, Schilling A (2016). Polyhedral Horofunction Compactification as Polyhedral Ball, arXiv,math.GT,1607.00564 963
• Wienhard A (2016). Representations and geometric structures, arXiv,math.GT,1602.03480 970
• Fanoni F, Pozzetti MB (2016). Basmajian-type inequalities for maximal representations, arXiv,math.GT,1611.00286 974

2015

• Baba S, Gupta S (2015). Holonomy map fibers of ℂP1-structures in moduli space, J Topology 8(3):691-710 997
• Peón-Nieto A (2015). Cameral data for SU(p+1,p)-Higgs bundles, arXiV, math.AG, 1506.01318 950
• Hartnick T, Ott A (2015). Bounded cohomology via partial differential equations, I, Geom. Topol. 19(6):3603-3643 954
• Guéritaud F, Guichard O, Kassel F, Wienhard A (2015). Compactification of certain Clifford-Klein forms of reductive homogeneous spaces, arXiv,math.GT,1506.03742 969
• Alessandrini D, Li Q (2015). ADS 3-manifolds and Higgs bundles, arXiv,math.DG,1510.07745 976
• Choi S, Lee G (2015). Projective deformations of weakly orderable hyperbolic Coxeter orbifolds, Geom. Topol. 19(4):1777-1828 986
• Baba S (2015). 2π–grafting and complex projective structures, I, Geom. Topol. 19(6):3233-3287 996

2011

• Hartnick T, Ott A (2011). Milnor-Wood type inequalities for Higgs bundles, arXiv, math.DG, 1105.4323 952

1970

• The real spectrum compactification of character varieties: characterizations and applications, arXiv:2005.00120 [math.GT] 1216