I am Zachary Chase, a third year PhD student at the University of Oxford under the supervision of Ben Green.

Papers:
On sumsets containing a perfect square Zachary Chase** preprint**
New upper bounds for trace reconstruction Zachary Chase, ** preprint** [blog post]
A new upper bound for separating words Zachary Chase, ** preprint** [blog post]
Separating words and trace reconstruction is a combined version of the above two papers.
** STOC 2021**, best student paper award, invited to STOC special issue of SICOMP.
A random analogue of Gilbreath's conjecture Zachary Chase, ** preprint** [blog post]
A proof of the Gan-Loh-Sudakov conjecture Zachary Chase, ** Advances in Combinatorics** [editorial introduction]
New lower bounds for trace reconstruction Zachary Chase, ** Ann. Inst. Henri PoincarĂ© Probab. Stat.**
Additive conjugacy and the Bohr compactification of orthogonal representations Zachary Chase, Wade Hann-Caruthers, Omer Tamuz ** Mathematische Annalen.**
Other papers:
The maximum number of three term arithmetic progressions, and triangles in Cayley graphs Zachary Chase, **preprint**
On the iterates of digit maps Zachary Chase, **Integers**
Experimental evidence for asymptotic non-optimality of comb adversary strategy Zachary Chase, **preprint**
Learning time dependent choice Zachary Chase, Siddharth Prasad, ** ITCS 2019**

Construction work:
Gaussian analytic functions and operator symbols of dirichlet type Haakan Hedenmalm, Serguei Shimorin, Advances in mathematics

Art work:
Polynomial methods and incidence theory (page 52) Adam Sheffer, Cambridge University press