Angelynn Alvarez

Dr. Angelynn Álvarez is a tenure-track assistant professor of Mathematics at Embry-Riddle. She graduated with a Ph.D. in Mathematics from the University of Houston in Houston, TX. Her research interests lie in algebraic coding theory, error-correcting codes, information theory, differential geometry and algebraic geometry. She is also interested in the connections between classical coding theory and quantum information theory, namely quantum error-correcting codes.

Dr. Álvarez has been teaching full-time at the university-level since 2016, and has taught a wide range of undergraduate mathematics courses ranging from foundational mathematics, to mathematics for K-12 teachers and to upper-division courses for mathematics, engineering, and science majors. She is passionate about mathematics education, innovative pedagogy and creating engaging learning environments through active learning, growth mindset practices and student-centered teaching approaches that encourage persistence, collaboration and confidence in mathematics.

She views herself as a "lifelong learner" who is continually exploring new ideas in mathematics, teaching and in her non-academic interests such as yoga, hiking and weightlifting.

She earned her (Ph.D. in Mathematics at the University of Houston under the guidance of Dr. Gordon Heier after completing a doctoral dissertation in the field of complex differential geometry, where her Ph.D. thesis was titled, "On the positive holomorphic sectional curvature of projectivized vector bundles over compact complex manifolds". She also holds an M.S. in Mathematics from the University of Houston. Prior to graduate school, she graduated summa cum laude from the University of Houston with a B.A. in Mathematics and a minor in Spanish.

Embry-Riddle Prescott College of Arts & Sciences 2025 Teacher of the Year Award, ​May 2025

AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution (PUI) Faculty, July 2023-July 2026

Embry-Riddle Faculty Innovative Research in Science and Technology (FIRST) Grant, July 2023-July 2024

MAA Tensor Women and Mathematics Grant, July 2022-July 2023, July 2023-July 2024, July 2024-July 2025

Embry-Riddle Center for Teaching and Learning Excellence, Innovative Teaching Grant, Spring 2023

• A. Álvarez, K. Planadeball Fernandez, J. Sinobio, C. Williams. Integrating Students-as-Partners into College-Level Mathematics Courses. Submitted. 2025.
• M. Andalibi, A. Álvarez, C. Williams, J. Adams, Bridging Abstract Mathematics and Practical Engineering Design: A Pre-Capstone Project to Enhance Learning and Cultivate Entrepreneurship, ASEE PSW Annual Conference, Cal Poly Pomona Pomona, California, 2025.
• G. Terra Bastos, A. Álvarez, Z. Flores, A. Salerno. A construction of optimal quasi-cyclic locally recoverable codes using constituent codes. Des. Codes Cryptogr. 93, 1255–1270 (2025). https://doi.org/10.1007/s10623-024-01532-5
• K. Aguilar, A. Álvarez, R. Ardila, P. Sanchez Ocal, C. Rodriguez Avila, A. Várilly-Alvarado, Locally recoverable algebro-geometric codes with multiple recovering sets from projective bundles. Submitted. 2024. (Also see: arXiV:2409.04201.)
• A. Álvarez, M. Hunnell, J. Hutchens, E. Flapan, E. Lawrence, P. Lewis, C. Price, R. Vanderpool. Topological Symmetry Groups of the Generalized Petersen Graphs. Accepted. 2024. To appear in Algebraic and Geometric Topology.
• A. Álvarez, G. Heier, F. Zheng. On projectivized vector bundles and positive holomorphic sectional curvature. Proc. Amer. Math. Soc. 146, no. 7, 2877–2882, 2018
• A. Álvarez, M. Espanol, A. Faridani, C. Flores, A. Marr, E. Newman, J. McNulty, R. Nugent, A. Seneres, M. Shott, W. Y. Velez, E. Walker. The PCMI workshop for mentors: A weeklong workshop on diversity. Notices of the AMS, May 2018
• A. Álvarez, A. Chaturvedi, G. Heier. Optimal pinching for the holomorphic sectional curvature of Hitchin’s metrics on Hirzebruch surfaces. Contemp. Math., 654:133–142, 2015.