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



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 Poincaré 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