Dr. Arielle Leitner


Research Consultant, Department of Mathematics
Weizmann Institute of Science Rehovot, Israel
Senior Lecturer at Afeka College of Engineering, Tel Aviv, Israel
Email: ArielleL ''at'' afeka.ac.il

Application Materials:
CV Research Statement, Teaching Philosophy

I am a research consultant at Weizmann , and a lecturer at Afeka College of Engineering. 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

  • "An Invitation to Coarse Groups" joint with F. Vigolo. Submitted
  • "On the Chabauty space of PSL(2,R), I: lattices and grafting" joint with I. Biringer and N. Lazarovich. Submitted
  • ``The Moduli space of Marked Generalized Cusps on Real Projective Manifolds " Joint with S. Ballas and D. Cooper. to appear in J. Conf. Dynam.
  • ``Local Limits of Connected Subgroups of SL(3,R)." Joint with N. Lazarovich. Comptes Rendus. Mathematique 359.4 (2021): 363-376.
  • ``Chabauty Limits of Diagonal Cartan Subgroups in SL(n, Q_p)." Joint with C. Ciobotaru and A. Valette. to appear in J. Algebra
  • ``Chabauty Limits of Parhoric Subgroups in SL(n, Q_p)." Joint with C. Ciobotaru. Expo. Math. (2021)
  • ``Generalized Cusps on Convex Projective Manifolds: Classification" Joint with S. Ballas and D. Cooper. Journal of Topology 13.4 (2020): 1455-1496.
  • `` 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

  • p-adic Chabauty Spaces. Joint with Corina Ciobotaru
  • Almost Homogeneous Dessin's d'Enfants on Higher Genus Surfaces. Joint with Joachim Koenig
  • A Study on Zooom vs In Person Learning in Undergraduation Mathematics. Joint with Lior Rosenzweig
  • Education and Employment:

    Weizmann Institute of Science
    Rehovot, Israel
    Senior Postdoctoral Fellow in Mathematics
    Sept 2018- Sept 2021

    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
    Research Consultant
    Weizmann Institute of Science