Allie Ray

Education

Ph.D. in Mathematics
University of Texas at Arlington

B.S. in Mathematics Education
Oklahoma Baptist University

Publications

Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces. J. Math. Anal. Appl., 534 No. 2 (2024), joint with T. Arias-Marco, E. Dryden, C.S. Gordon, A. Hassannezhad, and E. Stanhope. doi.org/10.1016/j.jmaa.2024.128088

Abelian factors in 2-step nilpotent Lie algebras constructed from graphs. Communications in Algebra, 51 No. 5: 2155-2175 (2023), joint with R. DeCoste, L. DeMeyer, and M. Mainkar. doi.org/10.1080/00927872.2022.2151612

Escape from the MAA storage room. Math Horizons, 29 No. 3: 12-15 (2022), joint with J. Barnes, S. Chao, R. Epstein, K. Jamerson, W. Lai, and L. Steil, https://doi.org/10.1080/10724117.2021.2003078

Spectral geometry of the Steklov problem on orbifolds. International Mathematics Research Notices, 2019 No. 1: 90-139 (2019), joint with T. Arias-Marco, E. Dryden, C.S. Gordon, A. Hassannezhad, and E. Stanhope
doi.org/10.1093/imrn/rnx117

Two-step and three-step nilpotent Lie algebras constructed from Schreier graphs. Journal of Lie Theory, 26 No. 2: 479-495 (2016) https://www.heldermann.de/JLT/JLT26/JLT262/jlt26021.htm

Society Memberships

Association for Women in Mathematics
Mathematical Association of America
Kappa Mu Epsilon

Research Interests

Differential Geometry
Nilpotent Lie Algebras and Lie Groups
Orbifolds
Graph Theory

Selected Presentations and Workshop Participation

Research Experience for Undergraduate Faculty Workshop
American Institute of Mathematics, Pasadena, CA, August 2024

Invited Talk at the Women in Geometry Special Session of the 2022 Joint Mathematics Meetings
Geometry of Nilpotent Lie Algebras Constructed From Graphs
Virtual, April 2022

Invited Talk at MAA Southeastern Sectional Meeting
Maintaining Student Interactions in a Socially Distanced IBL Classroom
Virtual, March 2021

AMS Contributed Talk at the 2020 Joint Mathematics Meetings
Singularity of Two-Step Nilpotent Lie Algebras Constructed from Graphs
Denver, CO, January 2020

Academy of Inquiry Based Learning Summer Workshop
AIBL, Portland, OR, June 2019.

Women in Geometry Special Session at the 2019 AWM Research Symposium
Eigenvalue and Multiplicity Bounds for the Steklov Spectrum on Orbifolds
Houston, TX, April 2019

Section NExT workshop
MAA Southeastern Sectional Meeting, Lee University, Cleveland, TN, March 2019. By invitation only

Contributed Talk at MAA Southeastern Sectional Meeting
Singularity of Nilpotent Lie Algebras Constructed from Graphs
Cleveland, TN, March 2019

AMS Contributed Talk at the 2018 Joint Mathematics Meetings
Nilpotent Metric Lie Algebras Constructed from Schreier Graphs
San Diego, CA, January 2018

Central Connecticut State University Colloquium
Nilpotent Metric Lie Algebras Constructed from Schreier Graphs
New Britain, CT, November 2017

AMS Fall 2017 Central Sectional Meeting
The Steklov Spectrum on Orbifolds
Denton, TX, September 2017

Research in Groups
International Centre for Mathematical Sciences, Edinburgh, UK, July 2017. By invitation only.

Wheaton College Undergraduate Colloquium
Hearing Geometry
Norton, MA, November 2016

Hartford Geometry Workshop
Spectral Geometry of the Steklov Problem on Orbifolds
Hartford, CT, October 2016

VI Workshop on Differential Geometry, EGEO 2016
The Steklov Problem on Orbifolds
La Falda, Argentina, August 2016

Research at Max Planck Institute
Max Planck Institute, Bonn, Germany, June 2016. By invitation only

Syracuse University Geometry Seminar
Geometry of Nilpotent Lie Algebras and Nilmanifolds Constructed from Schreier Graphs
Syracuse, NY, April 2016

Trinity College Math Department Colloquium
Going Beyond Plain Plane Geometry
Hartford, CT, April 2016

Women in Geometry Conference
Banff International Research Station, Banff, AB, Canada, November 2015. By invitation only

AMS Central Sectional Meeting
Geometry of Two-Step and Three-Step Nilpotent Lie Algebras and Nilmanifolds Constructed from Schreier Graphs
East Lansing, MI, March 2015

Graduate Student Topology and Geometry Conference
Geometry of Two-Step and Three-Step Nilpotent Lie Algebras and Nilmanifolds Constructed from Schreier Graphs
Champaign, IL, March 2015

AWM Workshop at the 2015 Joint Mathematics Meetings
From Graphs to Lie Algebras to Nilmanifolds (Poster)
San Antonio, TX, January 2015

Inverse Problems and Spectral Theory Conference
Two-Step and Three-Step Nilpotent Lie Algebras Associated with Schreier Graphs (Poster)
College Station, TX, October 2014

Joint University of North Texas, University of Texas at Arlington, University of Oklahoma Symposium
Two-Step and Three-Step Nilpotent Lie Algebras Associated with Schreier Graphs
Norman, OK, October 2014

Group Actions in Riemannian Geometry Conference
Graphs, Group Actions, and Isospectrality
Chapel Hill, NC, May 2014

Texas Christian University Graduate Student Seminar
Isospectrality in Graphs and Riemannian Manifolds
Fort Worth, TX, September 2013