John Rached

Curriculum Vitae

Contact

Department of Mathematics,

Purdue University

West Lafayette, IN 47907

Email: jabourac@purdue.edu

Personal

Date of Birth: June 9th 1992, California USA

Citizenship: U.S.

Higher Education

2011 - 2014: B.S. in mathematics, Kansas State University.

2014 - 2016: M.S. in mathematics, Kansas State University.

2016 - present: Ph.D student in mathematics, Purdue University (expected graduation, May 2023). Advisor: Ralph Kaufmann.

Employment

2012 - 2014: grader and tutor in undergraduate mathematics courses, Kansas State University.

2014 - 2016: teaching assistant for undergraduate mathematics courses, Kansas State University.

2016 - present: teaching assistant for undergraduate mathematics courses, Purdue University.

Research Interests

Dynamics on moduli space of Riemann surfaces, relations to homogeneous dynamics, hyperbolic geometry. Mathematical physics and its interactions with algebraic geometry.

Preprints

John Rached. Counting closed geodesics in rank 1 SL(2,R) orbit closures, arXiv:2207.00075.