Hyperbolic polarized dynamics, pairs of inverse maps and the Dirichlet property. (2019)

Report on the essential minimum. Presented on the study group on Number Teory at G.C. (2017)

Algebraic and geometric properties of face rings. Joint project with D. Allen and Jose La Luz. (2016)

A presentation of the etale fundamental group. As presented in BCC Math department seminar and Impromptus Seminar at GC.

Geometry of four-folds with three non-commuting involutions. Available at http://arxiv.org/abs/1303.4940.

Local canonical heights associated with several morphisms. Presented at Academia Sinica.

A note on the projection of the diagonal subvariety. Available at http://arxiv.org/abs/1303.4938

Manin-Mumford and Lattes Maps (2010) Faculty Fellowship publication Program of CUNY.

Canonical metrics of commuting maps (2009) ,Int. J. Mod. Math. Vol 4, 2009.

Heights, Algebraic Dynamics and Berkovich analytic spaces (2008) ,Sao Paulo Journal of Mathematical Sciences 3, 1 (2009), pp 77-94.

Mahler measure fo dynamical systems on P1 and intersection theory on a singular arithmetic surface with T. Tucker and L. Szpiro

Progress in Mathematics Birkhauser, 235, (2004), 219-250


Undergraduate Research Projects


Numerical Exploration of Elliptic Curves with Complex Multiplication (Spring 2009) with Ibrahima Diedhiou and Raya Bayor

D-ratio via intersection and configurations of lines. (Spring 2015) with Abulkalam Tanvir

Modular arithmetic (Spring 2021)

Arithmetic sequences and booking (Spring 2022) Daniel Reyes, Tyrell Whittfield

Applications of Machine Learning Models on PDAC Diagnosis (Fall 2022) Robert Rivera




Hyperbolic polarized dynamics, pairs of inverse maps and the Dirichlet property (Sept 2019) Workshop on Diophantine Geometry and Special Varieties, Povo, Trento, Italy.

Two numbers correcting the behavior of rational maps (Oct 2014) Math Department Seminar, BCC.

Canonical metrics and local canonical heights (Summer 2013) Conference on Diophantine Problems, Academia Sinica, Taiwan