Teaching

• In the 2023 Fall, I'm teaching a course on Linear Algebra
• 2023 Spring, Geometry Group Theory . 2022 Fall, General Topology, and an online course on Geometric Group Theory at Guangxi Center for Math. Research with videos and notes here.
• 2021 Spring, Geometry of hyperbolic manfolds. 2021 Fall, Calculus I. 2022 Spring, Hyperbolic Geometry.
• 2020 Fall, Geometry Group Theory. 2020 Spring: Calculus II . 2019 Spring: Differential Manifolds. 2019 Fall: Calculus
• 2018 Spring Geometry Group Theory 2018 Fall: Linear algebra.2017 Spring: Geometry of surfaces

Research

• Geometric Group Theory and Low Dimensional Topology: I'm primarily interested in the class of relatively hyperbolic groups and their generalizations called acylindrically hyperbolic groups, with various applications to CAT(0) groups and mapping class groups.
• A research overview of my work (2014-2019) is available here.

• GGTea Seminar: A online seminar on Geometric Group Theory in East Asia.

• Seminar on conformal dynamics and groups

Preprint

• 1. Renxing Wan, Xiaoyu Xu & W.Y. Yang. "Marked length spectrum rigidity in groups with contracting elements". Preprint 2024, Arxiv: 2402.10165
• 2. M. Dussaule, L.M. Wang & W.Y. Yang. "The growth of the Green function for random walks and Poincare series". Preprint 2023, Arxiv: 2307.10662
• 3. R.X. Wan & W.Y. Yang. "Uniform exponential growth for groups with proper product actions on hyperbolic spaces". Preprint 2023, Arxiv: 2307.08400
• 4. S.Z. Han, W.Y. Yang & Y.Q. Zou. "Counting double cosets with application to generic 3-manifolds ". Preprint 2023, Arxiv: 2307.06169
• 5. M. Dussaule, L.M. Wang & W.Y. Yang. "Branching random walks on relatively hyperbolic groups". Preprint 2022, Arxiv: 2211.07213
• 6. W.Y. Yang. "Conformal dynamics at infinity for groups with contracting elements". Preprint 2022, Arxiv: 2208.04861
• 7. W.Y. Yang. "Combination of fully quasiconvex subgroups and its applications". Preprint 2012, Not for publication, Arxiv: 1205.2994

Publications

• 20. S.Z. Han, H.T. Nguyen & W.Y. Yang. "Property (QT) of 3-manifold groups". Preprint 2021, Accepted to Algebraic & Geometric Topology, Arxiv: 2108.03361
• 19. M. Dussaule & W.Y. Yang. "The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups". Preprint 2020, Trans. Amer. Math. Soc. Ser. B 10 (2023), 766-806, Arxiv: 2010.07671
• 18. H.T. Nguyen & W.Y. Yang. "Croke-Kleiner admissible groups: Property (QT) and quasiconvexity". Preprint 2020, Michigan Mathematical Journal, 73(5), 971-1019, 2023 Arxiv: 2009.02863
• 17. Y.M. Cui, Y.P. Jiang & W.Y. Yang. "Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups". Preprint 2021, Journal of Group Theory,vol. 25, no. 5, 2022, pp. 799-822. Arxiv: 2103.02304
• 16. I. Gekhtman & W.Y. Yang. "Counting conjugacy classes in groups with contracting elements". Preprint 2018, Journal of Topology, v15(2) 620-665 2022, Arxiv: 1810.02969
• 15. W.Y. Yang. "Patterson-Sullivan measures and growth of relatively hyperbolic groups". Preprint 2013, Peking Mathematical Journal, 5: 153–212 (2022), Arxiv: 1308.6326
• 14. I. Gekhtman, V. Gerasimov, L. Potyagailo, & W.Y. Yang. "Martin boundary covers Floyd boundary". Preprint 2017, Inventiones Mathematicae no 223, 759–809(2021) Arxiv: 1708.02133
• 13. S.Z. Han & W.Y. Yang. "Generic free subgroups and statistical hyperbolicity". Preprint 2018, Groups, Geometry, and Dynamics, Vol 15, 2021, 101–140 Arxiv: 1812.06265
• 12. H.T. Nguyen, H.C. Tran & W.Y. Yang. "Quasiconvexity in 3-manifold groups". Preprint 2019, Mathematische Annalen, v381, 405–437 (2021), Arxiv: 1911.07807
• 11. Zunwu He, Jinsong Liu & W.Y. Yang. "Large quotients of group actions with a contracting element". Preprint 2018, Proceedings of the International Consortium of Chinese Mathematicians 2017, 319–338, Arxiv: 2007.15825.
• 10. L. Potyagailo & W.Y. Yang. "Hausdorff dimension of boundaries of relatively hyperbolic groups". Geometry & Topology, 23 (2019) 1779-1840 Arxiv: 1609.01763
• 9. W.Y. Yang. "Genericity of contracting elements in groups". Preprint 2017, Mathematische Annalen, v 376, 823-861 (2020), Arxiv: 1707.06006
• 8. W.Y. Yang. "Statistically convex-cocompact actions of groups with contracting elements". Preprint 2016, International Mathematics Research Notices, No. 23, 2019, 7259-7323 Arxiv: 1612.03648
• 7. W.Y. Yang. "Purely exponential growth of cusp-uniform actions". Ergodic Theory and Dynamical Systems, v39, no3, 2019, 795-831 Arxiv: 1602.07897
• 6. J. Osborne & W.Y. Yang. "Statistical hyperbolicity of relatively hyperbolic groups". Algebraic & Geometric Topology, 16 (2016) 2143-2158. Arxiv: 1504.01011.
• 5. W.Y. Yang. "Growth tightness for groups with contracting elements". Math. Proc. Cambridge Philos. Soc., 157(2014), 297-319. Arxiv: 1301.5623 (Erratum)
• 4. W.Y. Yang. "Peripheral structures of relatively hyperbolic groups". Journal fur reine und angewandte Mathematik, 689(2014), 101–135. Arxiv: 1101.2990
• 3. W.Y. Yang. "Limit sets of relatively hyperbolic groups". Geom. Dedicata., 156(2012), 1-12. Arxiv: 1009.1647
• 2. W.Y. Yang. "Separable subgroups have bounded packing". Proc. Amer. Math. Soc., 139(2011), 3217-3218. Arxiv: 1007.0678
• 1. W.Y. Yang & Y.P. Jiang. "Limit sets and commensurability of Kleinian groups". Bull. Aust. Math. Soc., 82(2010), 1-9. Arxiv: 1004.1751

Links

• Come to BICMR: Directions to BICMR
• My PhD Thesis: Structures périphériques des groupes relativement hyperboliques (A combination of my first four papers in Publication list)