חשבון דיפרנציאלי אינטגרלי 1
חשבון דיפרנציאלי אינטגרלי 2
אלגברה ליניארית

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.

  "An Invitation to Coarse Groups" joint with F. Vigolo. to appear in Springer Lecture Notes in Mathematics 

  "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. J. Conf. Dynam. 26 (2022) 111-164

  ``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. J. Algebra 595 (2022): 69-104

  ``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.