| Publication | Date of Publication | Type |
|---|
| The size of wild Kloosterman sums in number fields and function fields | 2024-01-23 | Paper |
| Algebraic twists of GL3 × GL2 L-functions | 2023-05-08 | Paper |
| Quantitative sheaf theory | 2023-05-05 | Paper |
| Free rational curves on low degree hypersurfaces and the circle method | 2023-04-26 | Paper |
| The Hasse principle for random Fano hypersurfaces | 2023-03-28 | Paper |
| The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions | 2023-02-13 | Paper |
| What Determines an Algebraic Variety? | 2023-01-03 | Paper |
| An improved lower bound for the union-closed set conjecture | 2022-11-21 | Paper |
| The purity locus of matrix Kloosterman sums | 2022-10-13 | Paper |
| The moment problem for random objects in a category | 2022-10-12 | Paper |
| On the Chowla and twin primes conjectures over \(\mathbb{F}_q[T\)] | 2022-09-09 | Paper |
| Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields | 2022-07-08 | Paper |
| Subconvexity for \(\mathrm{GL} (3) \times \mathrm{GL} (2)\) twists (with an appendix by Will Sawin) | 2022-06-03 | Paper |
| Hecke's Theorem on the Different for $3$-Manifolds | 2022-06-01 | Paper |
| Representation of Squares by Nonsingular Cubic Forms | 2022-04-20 | Paper |
| Monodromy of elliptic curve convolution, seven-point sheaves of \(G_2\) type, and motives of Beauville type | 2022-04-04 | Paper |
| An improved lower bound for multicolor Ramsey numbers and a problem of Erdős | 2022-02-24 | Paper |
| On the Ramanujan conjecture for automorphic forms over function fields I. Geometry | 2021-11-04 | Paper |
| Local parameters of supercuspidal representations | 2021-09-16 | Paper |
| A geometric approach to the sup‐norm problem for automorphic forms: the case of newforms on GL2(Fq(T)) with squarefree level | 2021-09-03 | Paper |
| Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums | 2021-07-21 | Paper |
| Representation of squares by nonsingular cubic forms | 2021-07-12 | Paper |
| Square-root cancellation for sums of factorization functions over short intervals in function fields | 2021-07-08 | Paper |
| An improved lower bound for multicolor Ramsey numbers and the half-multiplicity Ramsey number problem | 2021-05-18 | Paper |
| Bounds for the stalks of perverse sheaves in characteristic \(p\) and a conjecture of Shende and Tsimerman | 2021-04-01 | Paper |
| Square-root cancellation for sums of factorization functions over squarefree progressions in $\mathbb F_q[t$] | 2021-02-18 | Paper |
| Free rational points on smooth hypersurfaces | 2021-02-15 | Paper |
| Singularities and vanishing cycles in number theory over function fields | 2020-07-30 | Paper |
| A representation theory approach to integral moments of \(L\)-functions over function fields | 2020-07-24 | Paper |
| Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity | 2020-07-24 | Paper |
| Lectures on applied ℓ-adic cohomology | 2020-07-03 | Paper |
| Identifying measures on non-abelian groups and modules by their moments via reduction to a local problem | 2020-06-08 | Paper |
| The Hasse principle for random Fano hypersurfaces | 2020-06-03 | Paper |
| Dynamical models for Liouville and obstructions to further progress on sign patterns | 2020-05-21 | Paper |
| The Shafarevich conjecture for hypersurfaces in abelian varieties | 2020-04-20 | Paper |
| A geometric version of the circle method | 2020-04-17 | Paper |
| Correlation of arithmetic functions over \(\mathbb{F}_q[T\)] | 2020-04-03 | Paper |
| PERIODIC TWISTS OF -AUTOMORPHIC FORMS | 2020-03-16 | Paper |
| $\overline{M}_{1,n}$ is usually not uniruled in characteristic $p$ | 2020-03-11 | Paper |
| Topological reconstruction theorems for varieties | 2020-03-10 | Paper |
| Freeness alone is insufficient for Manin-Peyre | 2020-01-16 | Paper |
| Irreducibility of polynomials with a large gap | 2019-12-19 | Paper |
| Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) | 2019-12-18 | Paper |
| On cap sets and the group-theoretic approach to matrix multiplication | 2019-01-09 | Paper |
| The growth rate of tri-colored sum-free sets | 2019-01-09 | Paper |
| Bounds for matchings in nonabelian groups | 2018-11-22 | Paper |
| Free rational curves on low degree hypersurfaces and the circle method | 2018-10-16 | Paper |
| The equidistribution of L-functions of twists by Witt vector Dirichlet characters over function fields | 2018-05-11 | Paper |
| The second moment theory of families of L-functions | 2018-04-04 | Paper |
| Ramanujan coverings of graphs | 2017-11-28 | Paper |
| Ramanujan coverings of graphs | 2017-09-29 | Paper |
| On the support of the Kloosterman paths | 2017-09-15 | Paper |
| Bilinear forms with Kloosterman sums and applications | 2017-09-12 | Paper |
| UPPER BOUNDS FOR SUNFLOWER-FREE SETS | 2017-07-20 | Paper |
| Certifying the Restricted Isometry Property is Hard | 2017-06-08 | Paper |
| Kloosterman paths and the shape of exponential sums | 2016-08-25 | Paper |
| On numerical Newton-Okounkov bodies and the existence of Minkowski bases | 2016-07-13 | Paper |
| Ordinary primes for abelian surfaces | 2016-05-12 | Paper |
| Positivity of GIT heights of zero-cycles and hyperplane arrangements | 2015-07-09 | Paper |
| Notes on commutation of limits and colimits | 2015-07-08 | Paper |
| An elementary proof that vector bundles on $\mathbb P^1$ split | 2011-11-02 | Paper |
