I am a lecturer in Political Science and Computer Science at Yale University. My office is Rosenkranz 107. You can reach me at andrew.bridy@yale.edu.

In Fall 2020 I am teaching PLSC 529, Mathematics for Political Science, and CPSC 460/560, Automata Theory and Formal Languages. See Canvas for more information.

I am a mathematician working in number theory, arithmetic dynamics, and automata theory. Here is my CV. Below is a list of my publications.

“Mahler equations of p-regular series via difference algebra of weighted automata,” in preparation.

“A question for iterated Galois groups in arithmetic dynamics,” (with John Doyle, Dragos Ghioca, Liang-Chung Hsia, and Thomas J. Tucker), *Canad. Math. Bull.*, to appear.

“The Arakelov-Zhang pairing and Julia sets,” (with Matt Larson), submitted

“Finite index theorems for iterated Galois groups of unicritical polynomials,” (with John Doyle, Dragos Ghioca, Liang-Chung Hsia, and Thomas J. Tucker), *Trans. Amer. Math. Soc.*, to appear.

“The cycle structure of unicritical polynomials,” (with Derek Garton), *Int. Math. Res. Not. IMRN*, to appear.

“Finite index theorems for iterated Galois groups of cubic polynomials, (with Thomas J. Tucker), *Math. Ann.* 373 (2019), no. 1-2, 37–72.

“*ABC* Implies a Zsigmondy Principle for Ramification,” (with Thomas J. Tucker), *J. Number Theory* 182 (2018), 296–310.

“The generalized Nagell-Ljunggren problem: powers with repetitive representations,” (with Robert J. Lemke Oliver, Arlo Shallit, and Jeffrey Shallit), *Experimental Mathematics*, to appear.

“Finite Ramification for Preimage Fields of Postcritically Finite Morphisms,” (with Patrick Ingram, Rafe Jones, Jamie Juul, Alon Levy, Michelle Manes, Simon Rubinstein-Salzedo, and Joseph Silverman), *Math Res. Lett. *24 (2017), no. 6, 1633–1647

“Dynamically Distinguishing Polynomials,” (with Derek Garton), *Res. Math. Sc* 4 (2017), no. 13, 1–17.

“Automatic Sequences and Curves over Finite Fields,” *Algebra and Number Theory *11 (2017), no. 3, 685–712.

“The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic,” *J. Théor. Nombres Bordeaux*, 28 (2016), no. 2, 301–324.

“On the Number of Distinct Functional Graphs of Affine-Linear Transformations over Finite Fields,” (with Eric Bach), *Linear Algebra and Appl. *439 (2013), 1312–1320.

“Transcendence of the Artin-Mazur Zeta Function for Polynomial Maps of A^1(F_p),” *Acta Arith.*156 (2012), no. 3, 293–300.

“A Count of Maximal Small Copies in Multibrot Sets,” (with Rodrigo Pérez), *Nonlinearity *18 (2005), no. 5, 1945-1953.