- Visiting Assistant Professor, Colby College, 2015 - 2018
- Visiting Assistant Professor, Claremont McKenna College, 2013 - 2015

- Ph.D. Mathematics, University of Georgia, 2013
- M.S. Mathematics, Georgia Institute of Technology, 2008
- B.S. Mathematics, University of Costa Rica, 2005

*Galois groups over rational function fields and explicit Hilbert irreducibility*, with Nicole Sutherland.

Submitted. arXiv preprint.*Galois groups in a family of dynatomic polynomials*

J. Number Theory, to appear.*A local-global principle in the dynamics of quadratic polynomials*

Int. J. Number Theory 12 (2016), no. 8, 2265-2297.*Squarefree parts of polynomial values*

J. Théor. Nombres Bordeaux 28 (2016), 699-724.*Computing points of bounded height in projective space over a number field*

Math. Comp. 85 (2016), 423-447.*Computing algebraic numbers of bounded height*, with John Doyle.

Math. Comp. 84 (2015), 2867-2891.*Preperiodic points for quadratic polynomials over quadratic fields*, with John Doyle and Xander Faber.

New York J. Math. 20 (2014), 507-605.

- AMS grant for travel to the ICM, 2014
- AMS-Simons Travel Grant, 2013-2015
- University of Georgia Outstanding Teaching Assistant Award, 2013
- William Armor Wills Memorial Scholarship Award, 2013
- AMS Graduate Student Travel Grant, 2012
- University of Georgia Dissertation Completion Award, 2012
- National Science Foundation VIGRE Fellowship, 2008 and 2010
- Goizueta Foundation Fellowship, 2007

- Colby College, 2015-2018
- Complex Analysis: Fall 2017 (taught in IBL format)
- Cryptography: Spring 2017
- Number Theory: Spring 2016
- Calculus II: Fall 2016, Spring 2017, Fall 2017
- Calculus I: Fall 2015, Spring 2016, Fall 2016, Spring 2018

- Claremont McKenna College, 2013-2015
- Abstract Algebra: Spring 2015
- Number Theory: Spring 2014
- Linear Algebra: Fall 2014
- Calculus II: Spring 2014, Fall 2014, Spring 2015
- Calculus I: Fall 2013

- University of Georgia, 2008-2012
- Calculus for Science & Engineering: Fall 2011, Spring 2012
- Calculus I: Spring 2010
- Precalculus: Fall 2009

- Georgia Institute of Technology, 2008 (instructor)
- Calculus III: Spring 2008
- Calculus II: Summer 2008

- Georgia Institute of Technology, 2006-2007 (graduate teaching assistant)
- Finite Mathematics
- Calculus II
- Survey of Calculus

- Advisor for senior thesis student Jonathan Star (Claremont McKenna College, B.A. May 2015)
- Thesis title:
*Elliptic curves and the congruent number problem* - Available at http://scholarship.claremont.edu/cmc_theses/1120/

- Thesis title:
- Advisor for senior thesis student Arvind Suresh (Claremont McKenna College, B.A. May 2015)
- Thesis title:
*On the characterization of prime sets of polynomials by congruence conditions* - Available at http://scholarship.claremont.edu/cmc_theses/993/

- Thesis title:
- Reader for senior thesis student John Shaughnessy (Claremont McKenna College, B.A. May 2014)
- Thesis title:
*Finding zeros of rational quadratic forms* - Available at http://scholarship.claremont.edu/cmc_theses/849/

- Thesis title:

*A finiteness theorem for specializations of dynatomic polynomials.*AMS Special Session on Arithmetic Dynamics, Joint Mathematics Meetings, San Diego, California, January 2018.*Galois groups in a family of dynatomic polynomials.*Mathematical Congress of the Americas, special session on arithmetic dynamics. Montréal, Canada, July 2017.*Galois groups in a family of dynatomic polynomials.*University of Georgia, March 2017.*The global dynamics of quadratic maps on the projective line.*University of Maine mathematics colloquium, December 2016.*Explicit Hilbert Irreducibility.*University of Georgia number theory seminar, November 2016.*Explicit Hilbert Irreducibility.*Maine-Québec Number Theory Conference. Laval University, October 2016.*Explicit Hilbert Irreducibility.*University of Costa Rica mathematics colloquium, August 2016.*A local obstruction for periodic points under iteration of quadratic polynomials.*RTG Workshop on Arithmetic Dynamics. University of Michigan, December 2015.*The global dynamics of quadratic maps on the projective line.*Colby-Bates-Bowdoin Mathematics Seminar. Bates College, October 2015.*A local-global principle in the dynamics of quadratic polynomials.*Maine-Québec Number Theory Conference. University of Maine, Orono, October 2015.*A local-global principle in the dynamics of polynomial maps.*AMS Western Sectional Meeting, special session on Arithmetic Geometry. University of Nevada, Las Vegas, April 2015.*Squarefree parts of polynomial values.*MAA MathFest, General contributed paper session on number theory. Portland, Oregon, August 2014.*Squarefree parts of polynomial values.*Michigan State University algebra seminar, April 2014.*Squarefree parts of polynomial values.*UC San Diego number theory seminar, March 2014.*Computing points of bounded height in P^N over a number field.*Sage Days 55: Arithmetic and Complex Dynamics. Florida Institute of Technology, November 2013.*Preperiodic points for quadratic polynomials, I.*AMS Western Sectional Meeting, special session on heights, Diophantine problems, and lattices. University of California, Riverside, November 2013.*Quadratic points on dynamical modular curves.*Canadian Mathematical Society Summer Meeting, special session on experimental methods in number theory. Dalhousie University, June 2013.*Quadratic points on dynamical modular curves.*Center for Communications Research, San Diego, California, April 2013.*Preperiodic points for quadratic polynomials.*Advances in number theory and dynamical systems. University of Bristol, April 2013.*Preperiodic points for quadratic polynomials.*Johns Hopkins University algebraic geometry & number theory seminar, February 2013.*Computing algebraic numbers of bounded height.*AMS Special Session on Mathematics of Computation, Joint Mathematics Meetings, San Diego, California, January 2013.*Preperiodic points for quadratic polynomials.*Clemson University number theory seminar, December 2012.*Preperiodic points for quadratic polynomials.*Duke University algebraic geometry seminar, November 2012.*Preperiodic points for quadratic polynomials.*Georgia Institute of Technology algebra seminar, November 2012.*Computation of preperiodic structures of quadratic polynomials over number fields.*Canadian Number Theory Association XII Meeting. University of Lethbridge, June 2012.*Computing numbers of bounded height.*Palmetto Number Theory Series XVI. Emory University, September 2011.*The BSD conjecture and related questions.*University of Costa Rica, May 2011.*Stable reduction of curves of genus 2.*University of Georgia number theory seminar, November 2010.

- Joint Mathematics Meetings (San Diego, California 2018)
- Mathematical Congress of the Americas (Montréal, Canada 2017)
- Inquiry Based Learning Workshop (San Luis Obispo, California 2017)
- Potential Theory and Arithmetic Dynamics (Athens, Georgia 2017)
- Maine-Québec Number Theory Conference (Québec City, Canada 2016)
- RTG Workshop on Arithmetic Dynamics (Ann Arbor, Michigan 2015)
- Maine-Québec Number Theory Conference (Orono, Maine 2015)
- AMS Western Sectional Meeting (Las Vegas, Nevada 2015)
- International Congress of Mathematicians (Seoul, Korea 2014)
- MAA MathFest (Portland, Oregon 2014)
- Southern California Number Theory Day (Pasadena, California 2014)
- Sage Days 55: Arithmetic and Complex Dynamics (Melbourne, Florida 2013)
- AMS Western Sectional Meeting (Riverside, California 2013)
- Canadian Mathematical Society Summer Meeting (Halifax, Nova Scotia 2013)
- Advances in number theory and dynamical systems (Bristol, UK 2013)
- Joint Mathematics Meetings (San Diego, California 2013)
- Canadian Number Theory Association XII Meeting (Lethbridge, Alberta 2012)
- Summer School on Contemporary Methods for Solving Diophantine Equations (Banff, Alberta 2012)
- Palmetto Number Theory Series XVI (Atlanta, Georgia 2011)
- Summer School Program in Arithmetic Dynamics (Athens, Georgia 2011)
- Second Summer School UCR & CSU (San José, Costa Rica 2011)
- Canadian Number Theory Association XI Meeting (Wolfville, Nova Scotia 2010)
- AMS Southeastern Section Meeting (Boca Raton, Florida 2009)
- Palmetto Number Theory Series X (Savannah, Georgia 2009)
- Doctoral Program on Diophantine Geometry (Rennes, France 2009)
- Arizona Winter School in Mathematics (Tucson, Arizona 2007)