# Lloyd West {page under construction}

### lwest [at] gc.cuny.edu

 I am a Ph.D candidate in mathematics, working under the supervision of Lucien Szpiro at the CUNY Graduate Center. I study number theory and algebraic geometry. My current research work is in the area of arithmetic dynamics – a field at the intersection of number theory, algebraic geometry and complex dynamics. I have taught mathematics, at different levels, in the USA, China and England.

# Teaching

 Current This year I have a Dissertation Fellowship, so I shall not be teaching. You can read about my past teaching here. Past Teaching 2013-14 Quantitative Reasoning Fellow at Guttman College. I worked on designing curricula and innovative teaching materials for courses in quantitative reasoning and statistics, with an emphasis on inquiry based learning. I also helped to develop a data-oriented course on the economics of social issues. 2011-13 Precalculus with Elements of Calculus at Baruch College. Course materials on BlackBoard. Syllabus here. 2012 Summer Minicourse on Class Field Theory in the GC Graduate Mathematics Summer School. Lecture notes: here (caveat lector!). 2010-11 Spring College Algebra and Precalculus at Medgar Evers College. Fall Statistics at Medgar Evers College. College Algebra and Precalculus at Medgar Evers College. 2009 Summer Minicourse on Galois Theory at Linyi Normal University, Shandong, China. Blogpost: here. Report: here.

# Research

 August 2014 The Moduli Space of Cubic Rational Maps pdf    arxiv:1408.3247 We construct the moduli space, M_d, of degree d rational maps on \mathbb{P}^1 in terms of invariants of binary forms. We apply this construction to give explicit invariants and equations for M_3. Using classical invariant theory, we give solutions to the following problems: (1) explicitly construct, from a moduli point P \in M_d(k), a rational map \phi with the given moduli; (2) find a model for \phi over the field of definition (i.e. explicit descent). We work out the method in detail for the cases d=2,3.