Projects, Talks, and Teaching 

Papers and Current Projects:

• Submodules of H^2(D^2) and Frames by Pairs of Bounded Commuting Operators
• Characterizing Submodules in H^2(D^2) Using the Core Function
• Dynamical Frames and Hyperinvariant Subspaces
• Frames via Unilateral Iterations of a Bounded Operator 
• Reconstructing Graph Signals from Noisy Dynamical Samples
• 4x4 Irreducible Sign Pattern Matrices that Require Four Distinct Eigenvalues

Presentations:

• 2025 AMS Fall Central Sectional Meeting
• Virginia Operator Theory and Complex Analysis Meeting (VOTCAM 2025)
• 2025 AMS Fall Western Sectional Meeting
• 36th International Workshop on Operator Theory and its Applications (IWOTA) in Enschede, Netherlands
• Hilbert Function Spaces Conference in Frascati, Italy
• University of Central Florida Colloquium Seminar 
• Southeastern Analysis Meeting (SEAM 41)
• University of Oklahoma Analysis Seminar
• Georgia Tech Analysis Seminar
• Joint Mathematics Meeting (JMM 2025)
• Operators on Analytic Function Spaces at CIRM in Marseille, France
• 35th International Workshop on Operator Theory and its Applications (IWOTA) in Canterbury, UK
• Advanced Courses in Operator Theory and Complex Analysis (ACOTCA) in Tenerife, Spain
• University of Wisconsin-Madison Analysis Seminar
• 2024 AMS Spring Southeastern Sectional Meeting 
• 40th Southeastern Analysis Meeting (SEAM) (Plenary speaker)
• Washington University in Saint Louis Analysis Seminar
• Saint Louis University Colloquium Seminar
• Midwestern Workshop on Asymptotic Analysis 
• 2023 AMS Fall Central Sectional Meeting
• University of Oklahoma Analysis Seminar
• International Workshop on Operator Theory and its Applications (IWOTA) in Helsinki, Finland
• 2023 AMS Spring Southeastern Sectional Meeting 
• Clemson Analysis Seminar 
• University of Vienna Harmonic Analysis Seminar
• Workshop in Harmonic Analysis, Sampling Theory, Machine Learning, and Data Science in Buenos Aires, Argentina 
• Clemson and Gatech Time-Frequency Workshop 
• Tufts University Analysis Seminar
• Johns Hopkins University Applied Mathematics and Statistics Seminar
• 8th International Conference on Computational Harmonic Analysis in Ingolstadt, Germany 

• Codes and Expansions (CodEx) Seminar 

• Georgia Tech Analysis Seminar  

• 7th International Conference on Computational Harmonic Analysis 

Conference and Seminar Organizing:

•  Organizer for the Frames Seminar at the University of Oklahoma.

  • • Provided multipart lecture series on topics in Frame Theory:

      • "Bases in Banach Spaces"

      • "Frames and Bases in Hilbert Spaces"

      • "Gabor Bases and Frames"

Conferences Attended as Invited Participant:

• Invited participant for Multivariable Operator Theory conference at Tsinghua Sanya International Mathematics Forum in Hainan, China. (December 2025)
• Invited participant for the "Real and Complex Function Theory with Application to Operator Theory" special session at AMS Fall Central Sectional Meeting. (October 2025)
• Invited participant for the "Recent Progress in Frame Theory and Harmonic Analysis" special session at AMS Fall Western Sectional Meeting. (August 2025)
• Invited participant for the Multivariable Operator Theory special session at the International Workshop on Operator Theory and its Applications in Enschede, Netherlands.  (July 2025)
•  Invited participant for the "New Faces in Operator Theory" special session at Joint Mathematics Meeting. (January 2025)
• Invited participant for Operators on Analytic Function Spaces conference at Centre International de Rencontres Mathématiques in Marseille, France. (December 2024)
• Invited participant for Data Science, Signal Processing and Harmonic Analysis Santaló School at La Universidad de Buenos Aires. (August 2024)
• Invited participant for Multivariable Operator Theory conference at Washington University in St. Louis.  (June 2024)
•  Invited participant for Focus Program on Data Science, Approximation Theory, and Harmonic Analysis at the Fields Institute for Research in Mathematical Sciences in Toronto, Canada. (May 2022)

Teaching Evaluations: