Dr. Arielle Leitner


Postdoctoral Fellow, Department of Mathematics
Weizmann Institute of Science Rehovot, Israel
Office: Goldsmith 212
Email: arielle.leitner ''at'' weizmann.ac.il

Application Materials:
CV Research Statement, Teaching Philosophy

I am a senior postdoctoral fellow at Weizmann. My research concerns the interplay between low dimensional topology, geometry, dynamics, and algebra. Specifically, I am interested in geometric transitions of certain subgroups of matrix lie groups, dynamics and compactifications of boundaries of symmetric spaces and buildings, convex projective structures, Chabauty topology, coarse geometry, and Dessin d'Enfants.

Papers

  • ``The Moduli space of Marked Generalized Cusps on Real Projective Manifolds " Joint with S. Ballas and D. Cooper. Submitted
  • ``Local Limits of Connected Subgroups of SL(3,R)." Joint with N. Lazarovich. Submitted
  • ``Chabauty Limits of Diagonal Cartan Subgroups in SL(n, Q_p)." Joint with C. Ciobotaru and A. Valette. Submitted
  • ``Chabauty Limits of Parhoric Subgroups in SL(n, Q_p)." Joint with C. Ciobotaru. To appear in Expo. Math.
  • ``Generalized Cusps on Convex Projective Manifolds: Classification" Joint with S. Ballas and D. Cooper. To appear in Jornal of Topology.
  • `` Almost Regular Dessins d'Enfants on a Torus and a Sphere" Joint with J. Koenig and D. Neftin. Topology and Applications, 243 (2018) 78-99
  • `` A Classification of subgroups of SL(4,R) Isomorphic to R^3 and Generalized Cusps in Projective 3 Manifolds'' Topology and its Applications 206, (2016), 241-254
  • `` Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R) '' Proc. Amer. Math. Soc. 144 (2016) 3243-3254.
  • `` Conjugacy Limits of the Cartan Subgroup in SL(3,R)'' Geom Dedicata (2016) 180: 135.
  • ``Universal Cycles of Restricted Classes of Words '' (with Anant Godbole) Discrete Math. 310 (2010), no. 23.
  • In Preparation- Preprints may be available upon request

  • Chabauty Spaces of Subgroups of SL(2,R). Joint with Ian Biringer and Nir Lazorovich
  • Coarse Geometry and Coarse Groups. Joint with Federico Vigolo
  • Almost Homogeneous Dessin's d'Enfants on Higher Genus Surfaces. Joint with Joachim Koenig
  • Education and Employment:

    Technion, Israel Institute of Technology
    Haifa, Israel
    Postdoctoral Fellow in Mathematics
    Sept 2015 -Sept 2018

    University of California, Santa Barbara
    Santa Barbara, CA
    Masters in Mathematics 2011
    PhD 2015
    Certificate in College and University Teaching (CCUT)
    Adviser: Daryl Cooper .

    California State Univeristy, Chico
    Chico, CA
    BS in Mathematics 2009


    Arielle Leitner
    Postdoctoral Fellow
    Weizmann Institute of Science