Liyang Yang

I am a third-year graduate student at California Institute of Technology. My advisor is Dinakar Ramakrishnan .

Previously I graduated from Tsinghua University in June 2016. Here is my CV.

- Number Theory, Automorphic Representation and Arithmetic Geometry

(with D. Ramakrishnan) A Constraint for Twist Equivalence of Cusp Forms on GL(n). Preprint.

Arithmetic Distribution of Tempered Components of Cuspidal Representations on GL(3). Preprint, available upon request.

Holomorphy of Adjoint L-functions for GL(n): n\leq 4. Preprint.

An Explicit CM Type Norm Formula and Effective Nonvanishing of Class Group L-functions for CM Fields. Submitted.

Diophantine Inequalities Involving a Prime and an Almost-prime. Journal of Number Theory, 170 (2017), 347-367.

(with D. A. Goldston) The Average Number of Goldbach Representations, in Prime Numbers and Representation Theory, Lecture Series of Modern Number Theory, volume 2, (2017), 1-12.

An Introduction to Trace Formula Approach. In process, available upon request.

- An Outline of the Proof to Entireness of Adjoint L-functions.
- Archimedean Zeta Integrals of Quaternion Algebras.
- On the Subconvexity Problem and Equidistribution of Heegner Points.