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Research

I received my Ph.D. in 2019 under the direction of Dr. Bojko Bakalov. My doctoral research involved Lie algebras, integrable systems, solitons, and applications of these topics. I am currently interested in doing research in math education, with a particular emphasis on socio-cultural issues. 

Publications:

  • A. Yadavalli, J.D. Walker, J.J. Shi, and J. Rogness. "I Just Feel the Need to be Good at Something, and that Thing Should be Math": Acknowledging the Asian American Identity in an Accelerated Mathematics Program. Accepted in Problems, Resources, and Issues in Mathematics Undergraduate Studies: Special Issue on Promoting Women in Mathematics.

  • B. Bakalov and A. Yadavalli. Darboux transformations and Fay identities for the extended bigraded Toda hierarchy. Accepted in Journal of Physics A: Mathematical and TheoreticalarXiv:1812.00577

 

Undergraudate Research Mentored:

  • Y. Wan. Additional Fay Identities for the Extended Toda Hierarchy. Accepted in Rose Hulman Undergraduate Mathematics Journal.

Recent Talks:

  • 10/3/2020: Ideas for Research Studies Session4th Annual NE RUME Conference (virtual)

  • 01/07/2020: Quantum Algebra and Geometry Session, JMM 2021 (virtual)

soliton wave in maple.gif

An example of a KdV soliton. Learn more.

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