Liyang Yang

#### Email: lyyang@caltech.edu

I am a fifth-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.

### Published Papers:

1. Average of Dirichlet Coefficients of Cuspidal Representations Related to GL(2). The Ramanujan Journal, (2020). To appear.

2. (with Dinakar Ramakrishnan) A Constraint for Twist Equivalence of Cusp Forms on GL(n). Functiones et Approximatio Commentarii Mathematici, (2020). To appear.

3. An Explicit CM Type Norm Formula and Effective Nonvanishing of Class Group L-functions for CM Fields. Pacific Journal of Mathematics 304.1 (2020): 347-384.

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

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

### Preprints

1. (with Philippe Michel and Dinakar Ramakrishnan) Average Central L-values on U(3)\times U(2), Nonvanishing and Subconvexity. Preprint.

2. (with Maksym Radziwill) Nonvanihsing of Twists of GL(4) L-functions. Preprint.

3. (with Liubomir Chiriac) Summing Hecke Eigenvalues over Polynomials, submitted.

### Lecture and Expository Notes

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

2. An Outline of the Proof to Entireness of Adjoint L-functions.

3. Archimedean Zeta Integrals of Quaternion Algebras.

4. On the Subconvexity Problem and Equidistribution of Heegner Points.