**Research area: **Differential geometry

**Papers:**

*Sasaki-Einstein 7-Manifolds, Orlik Polynomials and *Homology, Symmetry 11(7), 2019

*A Note on Smale Manifolds and Lorentzian Sasaki-Einstein Geometry, *

Bull. Math. Soc. Sci. Math. Roumanie. 59(107) No.2 (2016), 151-158

(with Janet Talvacchia) *Generalized CoK\”ahler Geometry and an Application to Generalized K\”ahler Structures*, J. Geom. Phys. 98 (2015), 493-503

(with Janet Talvacchia) *On Products of Generalized Geometries*, Geom. Dedicata 175 (2015), 211-218

*Lorentzian Sasaki-Einstein Metrics on Connected Sums of $S^{2}\times S^{3}$}*, Geom. Dedicata 150 (2011), 249-255

*Code for homology of links written by Evan Thomas, University of Melbourne: evans

**Teaching:**

Fall 2019 Math 63 Real Analysis and Math 34 Several Variable Calculus

Sabbatical 2018-2019

Spring 2018 Math 3 Introduction to Mathematical Thinking

Fall 2017 Math 15 Single variable Calculus and Math 15SP

Spring 2017 Math 106 Advanced Topics in Geometry: Riemannian Geometry and Math 43 Basic Differential Equations.

Fall 2016 Math 55 Elementary Differential Geometry and Math 35 Multi-variable Calculus Honors

Spring 2016 Math 35 Multi-variable Calculus Honors.

**Other:**

http://daily.swarthmore.edu/2017/11/16/ralph-gomez-research-spotlight/

Here is an interview I did with the Daily Gazette. The fist half of the interview discusses the nature of mathematical research and my interests. The second half of the interview discusses my pathway to becoming a mathematician.