PAPERS AND WRITE-UPS
4. Watkin’s Conjecture for Supersingular Elliptic Curves of odd Conductor, 2018
3. Hecke Action on the Group of Connected Components of Certain Modular Curves and Shimura Curves , 2016
2. Homotopy method for the eigenvalues of symmetric tridiagonal matrices,
joint with Philip Brock- man, Timothy Carson, YunCheng, T.M.Elgindi, K.Jensen, X.Zhoun, M.B.M.Elgindi.
Journal of Computational and Applied Mathematics Volume 237, Issue 1, 1 January 2013, Pages 644-653
1. A Note on the Proof of the Perron-Frobenius Theorem,
joint with Timothy Carson, Mohamed B. M. Elgindi.
Applied Mathematics,2012, 3, 1697-1701
In addition, I passed my Topic Exam on Complex multiplication and class field theory in Spring 2014.