Angelynn Alvarez

Title
Assistant Professor
Email
Department
Mathematics Department
College
College of Arts & Sciences

Office Hours

See Course Syllabus.

Areas of Expertise

Algebraic Coding Theory, Error-Correcting Codes, Information Theory, Differential Geometry, Riemannian Geometry, Complex Geometry, Algebraic Geometry
Angelynn Alvarez

Dr. Angelynn Álvarez is a tenure-track Assistant Professor of Mathematics. Her research interests lie in coding theory, error correcting codes and information theory, as well as differential geometry and algebraic geometry. She also has interests in mathematics education and supporting women and other underrepresented groups in STEM. She teaches a wide variety of undergraduate mathematics courses at ERAU, ranging from first-year Calculus, to 4xx-level mathematics courses, to Independent Study courses.

She received her Ph.D. in Mathematics at the University of Houston under the guidance of Dr. Gordon Heier after completing her doctoral dissertation in the field of complex differential geometry.

  • Ph.D. - Doctor of Philosophy in Mathematics, University of Houston
  • M.S. - Master of Science in Mathematics, University of Houston
  • B.A. - Bachelor of Arts in Mathematics: Spanish, University of Houston
  • MA 241: Calculus & Analytical Geom I

MA 112 - Calculus for Aviation

MA 241 - Calculus & Analytical Geometry I

MA 242 - Calculus & Analytical Geometry II

MA 243 - Calculus & Analytical Geometry III

MA 335 - Introduction to Linear & Abstract Algebra

MA 443 - Complex Variables

  • 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.

Project New Experiences in Teaching (NExT) Fellow, (Blue '17 Cohor), 2017-2018

Simons Laufer Mathematical Sciences Institute Research Member, Summer 2023

Association for Women in Mathematics (AWM)

Mathematical Association of America (MAA)

American Mathematical Society (AMS)

ERAU 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

ERAU 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

ERAU Center for Teaching and Learning Excellence, Innovative Teaching Grant, Spring 2023