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) 7899
`` 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), 241254
``
Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)
'' Proc. Amer. Math. Soc. 144 (2016) 32433254.
``
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