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 Theoretical. arXiv: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 Session, 4th Annual NE RUME Conference (virtual)
-
01/07/2020: Quantum Algebra and Geometry Session, JMM 2021 (virtual)
An example of a KdV soliton. Learn more.