Bob Hough's home page

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:

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

Teaching:

• Students in my Math 53H section can find handouts and other materials here.
• Previous section handouts from my Math 51H and Math 52H sections.
• Some practice problems for Stanford's analysis qual.
• Information about Stanford's Polya problem solving seminar is here and here.