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RESEARCH AREAS

  • Geometric Group Theory: Isometric group actions on hyperbolic spaces, actions on products of hyperbolic spaces, quasi-parabolic actions, acylindrical actions
         and acylindrically hyperbolic groups
  • Sharply 3-transitive actions


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    PUBLICATIONS

  • C.Abbott, S. Balasubramanya, A.J.Rasmussen; Valuations, completions and hyperbolic actions of solvable groups; In preparation.
  • C.Abbott, S. Balasubramanya, A.J.Rasmussen; Higher rank confining subsets and actions of solvable groups,arXiv:2108.08175 (2021, Submitted).
  • S. H Balasubramanya; Finite extensions of H−and AH−accessible groups,Topology Proceedings Volume 56(2020), pg 297-304.  https://arxiv.org/abs/1908.04894
  • S. H Balasubramanya; Hyperbolic structures on wreath products,Journal of Group Theory(2019), ISSN(Print) 1433-5883. arxiv.org/abs/1809.00776
  • C. Abbott, S. Balasubramanya, D. Osin; Hyperbolic structures on groups,Algebraic & Geometric Topology19-4 (2019), pg 1747-1835. arxiv.org/abs/1710.05197
  • S. H Balasubramanya; Acylindrical group actions on quasi-trees,Algebraic & Geometric Topology17 (2017)pg 2145 – 2176 arxiv.org/abs/1602.03941


  • LIST OF TALKS

    2021

    • Geometry and Topology Seminar, Rice University, USA(Invited, Virtual)
    • Post Graduate Topology Conference, University of Southampton, UK(Invited, Virtual)

    2020

    • Advanced seminar on Model Theory and Groups, WWU Muenster, Germany
    • Geometric Structures in Group Theory workshop, MFO Oberwolfach, Germany(Invited, Virtual)
    • Geometric Group Theory conference, CIRM, Luminy France(Invited)
    • Lightning talk, YGGT IX, Saint Jacut-de-la-mer, France

    2019

    • Advanced seminar on Model Theory and Groups, WWU Muenster, Germany
    • Geometric Group Theory Seminar, WWU Muenster, Germany
    • WWU Muenster Mathematics department colloquium “Meet the postdocs”, Germany
    • Spring Topology and Dynamics Conference, University of Alabama at Birmingham, USA(Invited)
    • Seminar talk, Spelman College, USA(Invited)
    • Geometry Seminar, University of Virginia, USA(Invited)
    • Seminar talk, Furman University, USA(Invited)
    • Topology and Geometric Group Theory Seminar, Cornell University, USA(Invited)
    • Group Theory and Topology seminar, Vanderbilt University, USA(Invited)

    2018

    • Lightning Talk, TechTopology Conference, Georgia Tech University, USA
    • AMS Sectional meeting, University of Arkansas, USA(Invited)
    • Geometry–Topology seminar, Duke University, USA (Invited)
    • GANTC (Geometry, Algebra, Number Theory and Combinatorics) seminar, UNC Greensboro, USA
    • WINRS symposium - Mid Atlantic Region, University of Virginia, USA(Invited)
    • Summer Conference on Topology and its Applications, Western Kentucky University, USA(Invited)
    • AMS Sectional Meeting, Vanderbilt University, USA(Invited)
    • Colloquium Series, Gettysburg College, USA(Invited)
    • AMS Special Session on Boundaries for Groups and Spaces, Joint Mathematics Meeting, USA(Invited)
    • AMS Contributed Paper Session on Groups, Joint Mathematics Meeting, USA

    2017

    • Geometric Group Theory seminar, Ohio State University, USA(Invited)
    • Algebra seminar, Loyola University, USA(Invited)
    • Geometry and Topology seminar, Graduate Centre, CUNY, USA(Invited)
    • Wasatch Topology Conference, Utah, USA(Invited)
    • yGAGTA Conference, Spain
    • Research Seminar, Women and Math program, IAS, Princeton, USA(Invited)
    • 51st Spring Topology and Dynamics Conference, New Jersey City University, USA(Invited)
    • Geometric group theory on the gulf (G3) conference, Florida, USA(Invited)
    • Group theory and Topology seminar, Vanderbilt University, USA

    2016

    • Group theory and Topology seminar, Vanderbilt University, USA
    • Poster presentation, YGGT V, KIT, Karlsruhe, Germany

     


    SUMMER SCHOOLS, WORKSHOPS & CONFERENCES ATTENDED

    2021  

    • YGGT X, Newcastle University(Virtual)
    • Modern Leadership is Female, WWU, Germany

    2020

    • Topology Postdoc Workshop, Georgia Tech, USA
    • BiMs Seminar, Bielefeld Universitaet, Germany

    2019

    • LMU Miniworkshop - Geometric Group Theory, Münich, Germany

    2017

    • GAGTA, Spain

    2016

    • Beyond Hyperbolicity’, Cambridge University, UK
    • Shanks workshop on Geometric Group Theory, Vanderbilt University, USA

    2015

    • Summer school at EPFL -CIB: Probability on graphs and random walks, Switzerland 
    • MSRI Geometric Group Theory Summer Graduate School, MSRI Berkeley, USA


     
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