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research

My research spans two interconnected areas:

  1. Mathematics through Movement: Combining mathematics and movement to create innovative teaching methods that engage students and bridge the gap between the sciences and the arts.

  2. Applied Mathematics: Focusing on numerical analysis, global optimization, and stability analysis, with an emphasis on solving real-world challenges through novel mathematical techniques.

Mathematics
through Movement

Mathematics through Movement is an interdisciplinary project blending mathematics and physical movement to enhance learning and creativity.

Developed in collaboration with dance professor Lori Teague at Emory University, this initiative fosters critical thinking, inclusivity, and collaboration, bridging STEM with the arts.

Courses like Dancing Dynamical Systems and Move Your Math exemplify this approach, demonstrating the power of transdisciplinary education. Upcoming projects include Differential Equations through Movement, expanding the integration of movement into advanced mathematical learning.

Applied
Mathematics

My disciplinary research focuses on numerical analysis, global optimization, differential equations, and numerical linear algebra.

I develop techniques that address both theoretical and applied challenges, such as optimization methods that navigate non convex function landscapes.

My work includes projects on pseudospectral matrix distances, fractal image compression, and robust optimization algorithms.

These efforts combine rigorous mathematical frameworks with real-world applications, such as protein folding and system stability. 

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