TADM-REU 2023 Results

Research Groups, Presentations, and Reports

Coding Theory - Mentor: Dr. Padmapani Seneviratne

Topic: Quantum Codes from Multidimensional circulant graphs.

Participants

• Hannah Cuff (Trinity College)
• Alexandra Koletsos (Columbia University)
• Kerry Seekamp (Smith College)
• Adrian Thananopavarn (Princeton University

Publications:

Seneviratne, Padmapani and Cuff, Hannah and Koletsos, Alexandra and Seekamp, Kerry and Thananopavarn, Adrian "New qubit codes from multidimensional circulant graphs" Discrete Mathematics , v.347 , 2024 https://doi.org/10.1016/j.disc.2024.114058 

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Complex Analysis – Mentor: Dr. Mehmet Celik

Topic: Area Differences under Analytic Maps and Operators

Participants

• Luke Duane-Tessier (Texas A&M University-College Station)
• Ashley Marcial Rodriguez (St. Olaf College)
• Daniel Rodriguez (East Texas A&M University)
• Aden Shaw (Rose Hulman Institute of Technology)

Publications:

Çelik, Mehmet and Duane-Tessier, Luke and Marcial_Rodriguez, Ashley and Rodriguez, Daniel and Shaw, Aden "Area differences under analytic maps and operators [english]" Czechoslovak Mathematical Journal , 2024 https://doi.org/10.21136/CMJ.2024.0023-24 

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Differential Equations – Mentor: Dr. Tigxiu Wang

Topic: Differential Equations & Collatz Conjecture

Participants

• Patricia Anika (Franklin & Marshall College)
• William Kim (University of Notre Dame)
• Ryan Rodriguez (Texas A&M University – Commerce)
• Isabelle Rudin (Purdue University)