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): 363376.
``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): 14551496.
``
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
padic 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