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Contact Information:
Contact Information:
E-mail: cc45@aub.edu.lb (current email address)
danny30814@ncts.ntu.edu.tw (previous email address)
Office: Room 316B Daniel Bliss Hall, American University of Beirut
Currently, I am an Assistant Professor at Department of Mathematics, American University of Beirut (AUB). Previously, I was a postdoc fellow at NCTS, working with Prof. Fu-Tsun Wei. Before that, I was a graduate student at Penn State University, working with Professor Mihran Papikian. My work is on arithmetic properties for Drinfeld modules of arbitrary rank, especially on Galois representations associated to Drinfeld modules of rank greater than 2.
Currently, I am an Assistant Professor at Department of Mathematics, American University of Beirut (AUB). Previously, I was a postdoc fellow at NCTS, working with Prof. Fu-Tsun Wei. Before that, I was a graduate student at Penn State University, working with Professor Mihran Papikian. My work is on arithmetic properties for Drinfeld modules of arbitrary rank, especially on Galois representations associated to Drinfeld modules of rank greater than 2.
Papers and preprints:
Papers and preprints:
On modular polynomials for higher rank self-isogenous Drinfeld modules, in preparation.
On natural density of rank-2 Drinfeld modules with big Galois image, preprint.
Masser-W\"ustholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank, Acta Arith. 215 (2024), 33-41.
On singular moduli for higher rank Drinfeld modules, accepted, Res. Math. Sci.
Surjectivity of the adelic Galois Representation associated to a Drinfeld module of prime rank, J. Number Theory 274 (2025), 180-218.
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2, Acta Arith. 202 (2022), no. 4, 361–377.
Galois criterion for torsion points of Drinfeld modules, Int. J. Number Theory 17 (2021), no. 10, 2315–2326.
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3, J. Number Theory 237 (2022), 99–123.
Teaching:
Teaching:
Spring 2025: Instructor for Calculus IV at NTU
Spring 2024: Instructor for Calculus III at NTU
Fall2023: Instructor for Calculus I&II at NTU.
Spring 2022: Instructor for Math230, Multivariable Calculus
Summer 2021: Instructor for Math26, Plane Trigonometry
Fall 2020: Instructor for Math220, Matrix Algebra
Summer 2020: TA for Math436, Linear Algebra
Spring 2020: Instructor for Math21, College Algebra
Fall 2019: Instructor for Math21, College Algebra I
Spring 2019: Instructor for Math21, College Algebra I
Fall 2018: Instructor for Math21, College Algebra I
Fall 2017: Instructor for Math 21, College Algebra I
Spring 2017: TA for Math 435, Basic Abstract Algebra
Fall 2016: TA for CMPSC/MATH467, Factorization and Primality Testing
Miscellaneous
Miscellaneous
An explicit bound on reducibility of mod l Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem, preprint. The proof of Proposition 3.1 is wrong, which makes Main Theorem 1 groundless.
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