Featured scholarly/creative works
- Barrera, R. (2019). Quasidegrees of A-graded modules. Journal of Software for Algebra and Geometry, 9, 29–34. https://doi.org/10.2140/jsag.2019.9.29
- Barrera, R. (2019, May). Quasidegrees: Software for computing quasidegrees of modules. Journal of Software for Algebra and Geometry.
- Barrera, R., Nyman, K., Ruiz, A., Edward Su, F., & Zhang, Y. X. (2015). Discrete Envy-free Division of Necklaces and Maps. https://doi.org/1510.02132
- Barrera, R., & Ferrero, D. (2011). Power domination in cylinders, tori, and generalized Petersen graphs. Networks, 58, 43–49.
Featured awards
- Award / Honor Recipient: Teaching Excellence Award, Texas State Department of Mathematics. December 2020
- Award / Honor Recipient: Alpha Chi Favorite Professor Award, The Alfred H. Nolle Chapter of the Alpha Chi National College Honor Society. April 2019
- Award / Honor Recipient: Dr. Joseph Newton Graduate Student Service Award. May 2017
- Award / Honor Recipient: Houston A&M Mother’s Club Outstanding TA Award. May 2015

Featured service activities
- Other
- Other
- Organizer
Discrete Math Teaching Forum
- Other
Rapid Fire Research Competition
- Judge
FIRST Robotics Competition
- Reviewer / Referee
American Mathematical Monthly