**Address:** Department of Mathematics,

Stanford University, Stanford, CA 94305.

**e-mail:** rdhough at math.stanford.edu

**CV:**
here.

I am a fifth year PhD student in mathematics at Stanford, Studying with Professor Soundararajan.

**Areas of research interest:**

- Analytic and probabilistic number theory, discrete probability

**Publications and preprints:**

- The distribution of the logarithm of orthogonal and symplectic L-functions. Preprint.
- Zero-density estimate for modular form L-functions in weight aspect. Preprint.
- The resonance method for large character sums. Preprint.
- Random walks on Z/pZ with small symmetric generating sets. Preprint available on request.
- Average equidistribution of Heegner points associated to the 3-part of the class group of imaginary quadratic fields. Preprint.
- Summation of a random multiplicative function on numbers having few prime factors. Math. Proc. Camb. Phil. Soc., 150 (2011), pp. 193-214. Link.
- Tesselation of a triangle by repeated barycentric subdivision. Elec. Comm. Prob., 14 (2009). Link.

**Teaching:**