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个人简介

Teaching In the Spring of 2023, I'm teaching a course on Geometry Group Theory . In the Fall of 2022, I'm teaching a course on 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 PREPRINT 1. M. Dussaule, L.M. Wang & W.Y. Yang. "Branching random walks on relatively hyperbolic groups". Preprint 2022, Arxiv: 2211.07213 2. W.Y. Yang. "Conformal dynamics at infinity for groups with contracting elements". Preprint 2022, Arxiv: 2208.04861 3. S.Z. Han, H.T. Nguyen & W.Y. Yang. "Property (QT) of 3-manifold groups". Preprint 2021, Arxiv: 2108.03361 4. W.Y. Yang. "Combination of fully quasiconvex subgroups and its applications". Preprint 2012, Not for publication, Arxiv: 1205.2994

研究领域

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.

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

1. M. Dussaule & W.Y. Yang. "The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups". Preprint 2020, Accepted to Transactions of AMS, Arxiv: 2010.07671 2. H.T. Nguyen & W.Y. Yang. "Croke-Kleiner admissible groups: Property (QT) and quasiconvexity". Preprint 2020, Accepted to Michigan Mathematical Journal, Arxiv: 2009.02863 3. Y.M. Cui, Y.P. Jiang & W.Y. Yang. "Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups". Preprint 2021, Accepted to Journal of Group Theory, Arxiv: 2103.02304 4. 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 5. W.Y. Yang. "Patterson-Sullivan measures and growth of relatively hyperbolic groups". Preprint 2013, Peking Mathematical Journal, 5: 153–212 (2022), Arxiv: 1308.6326 6. 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 7. 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 8. 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 9. 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 11. W.Y. Yang. "Genericity of contracting elements in groups". Preprint 2017, Mathematische Annalen, v 376, 823-861 (2020), Arxiv: 1707.06006 12. 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 13. W.Y. Yang. "Purely exponential growth of cusp-uniform actions". Ergodic Theory and Dynamical Systems, v39, no3, 2019, 795-831 Arxiv: 1602.07897 14. J. Osborne & W.Y. Yang. "Statistical hyperbolicity of relatively hyperbolic groups". Algebraic & Geometric Topology, 16 (2016) 2143-2158. Arxiv: 1504.01011. 15. W.Y. Yang. "Growth tightness for groups with contracting elements". Math. Proc. Cambridge Philos. Soc., 157(2014), 297-319. Arxiv: 1301.5623 (Erratum) 16. W.Y. Yang. "Peripheral structures of relatively hyperbolic groups". Journal fur reine und angewandte Mathematik, 689(2014), 101–135. Arxiv: 1101.2990 17. W.Y. Yang. "Limit sets of relatively hyperbolic groups". Geom. Dedicata., 156(2012), 1-12. Arxiv: 1009.1647 18. W.Y. Yang. "Separable subgroups have bounded packing". Proc. Amer. Math. Soc., 139(2011), 3217-3218. Arxiv: 1007.0678 19. W.Y. Yang & Y.P. Jiang. "Limit sets and commensurability of Kleinian groups". Bull. Aust. Math. Soc., 82(2010), 1-9. Arxiv: 1004.1751

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