Will Sawin
Mathematician
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Mathematics
Why Is Will Sawin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Will Sawin is an associate professor of mathematics at Columbia University specialising in number theory and algebraic geometry and other areas. He was also a Clay Research Fellow in Clay Mathematical Institute. He earned his PhD degree from Princeton University in 2016 on "A Tannakian Category and a Horizontal Equidistribution Conjecture for Exponential Sums" under the supervision of Nick Katz. Will Sawin has found important applications of etale cohomology to theory of exponential sums over finite fields and also of classical counting techniques in analytic number theory in the study of cohomology in spaces which are of interest in algebraic geometry. He also contributes to the mathematical community in several ways including his regular posts in the MathOverflow website. Will Sawin was awarded the SASTRA Ramanujan Prize in 2021 for his contributions to the area of mathematics influenced by Srinivasa Ramanujan. In 2023, Sawin received the Sloan Fellowship.
Will Sawin's Published Works
Published Works
- Certifying the Restricted Isometry Property is Hard (2012) (227)
- Bilinear forms with Kloosterman sums and applications (2015) (59)
- UPPER BOUNDS FOR SUNFLOWER-FREE SETS (2016) (47)
- The growth rate of tri-colored sum-free sets (2016) (44)
- HNHN: Hypergraph Networks with Hyperedge Neurons (2020) (34)
- The second moment theory of families of L-functions (2018) (29)
- Kloosterman paths and the shape of exponential sums (2014) (27)
- Ramanujan coverings of graphs (2015) (26)
- Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums (2018) (22)
- Improved estimates for polynomial Roth type theorems in finite fields (2017) (17)
- The Shafarevich conjecture for hypersurfaces in abelian varieties (2020) (17)
- Ordinary Primes for Abelian Surfaces (2015) (15)
- Bounds for Matchings in Nonabelian Groups (2017) (15)
- A geometric version of the circle method (2017) (13)
- Square-root cancellation for sums of factorization functions over short intervals in function fields (2018) (13)
- COPT: Coordinated Optimal Transport on Graphs (2020) (12)
- Free rational curves on low degree hypersurfaces and the circle method (2018) (11)
- Lectures on applied ℓ-adic cohomology (2017) (9)
- An improved lower bound for multicolor Ramsey numbers and the half-multiplicity Ramsey number problem (2021) (8)
- On the Ramanujan conjecture for automorphic forms over function fields I. Geometry (2018) (8)
- Freeness alone is insufficient for Manin-Peyre. (2020) (8)
- An improved lower bound for multicolor Ramsey numbers and a problem of Erdős (2022) (7)
- The moment problem for random objects in a category (2022) (7)
- Bilinear forms with generalized Kloosterman sums (2018) (7)
- On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$ (2018) (7)
- The Hasse principle for random Fano hypersurfaces (2020) (7)
- The equidistribution of L-functions of twists by Witt vector Dirichlet characters over function fields. (2018) (6)
- Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity (2020) (6)
- Möbius cancellation on polynomial sequences and the quadratic Bateman–Horn conjecture over function fields (2022) (6)
- Bounds for the stalks of perverse sheaves in characteristic p and a conjecture of Shende and Tsimerman (2019) (6)
- Rational cohomology tori (2015) (5)
- On the support of the Kloosterman paths (2017) (5)
- Periodic twists of $GL_3$-automorphic forms (2019) (5)
- An improved lower bound for the union-closed set conjecture (2022) (5)
- Algebraic twists of GL3 × GL2 L-functions (2023) (4)
- Quantitative sheaf theory (2021) (4)
- Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) (2018) (4)
- Singularities and vanishing cycles in number theory over function fields (2020) (3)
- Positivity of GIT heights of zero-cycles and hyperplane arrangements (2015) (3)
- Irreducibility of polynomials with a large gap (2018) (3)
- Topological reconstruction theorems for varieties (2020) (3)
- Finite quotients of 3-manifold groups (2022) (3)
- Subconvexity for GL(3)×GL(2) twists (2022) (3)
- Correlation of arithmetic functions over $$\mathbb {F}_q[T]$$ (2018) (3)
- A representation theory approach to integral moments of L-functions over function fields (2018) (3)
- Dynamical models for Liouville and obstructions to further progress on sign patterns (2018) (3)
- Bilinear forms with Kloosterman sums, II (2018) (3)
- COPT: Coordinated Optimal Transport for Graph Sketching (2020) (3)
- Notes on commutation of limits and colimits (2014) (3)
- Identifying measures on non-abelian groups and modules by their moments via reduction to a local problem (2020) (3)
- Algebraic twists of $\mathrm{GL}_3\times \mathrm{GL}_2$ $L$-functions. (2019) (2)
- M\"{o}bius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields (2020) (2)
- A geometric approach to the sup‐norm problem for automorphic forms: the case of newforms on GL2(Fq(T)) with squarefree level (2019) (2)
- Local parameters of supercuspidal representations (2021) (2)
- Conjectures for distributions of class groups of extensions of number fields containing roots of unity (2023) (2)
- Free rational points on smooth hypersurfaces (2019) (2)
- PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS (2019) (1)
- A Tannakian Category and a Horizontal Equidistribution Conjecture for Exponential Sums (2016) (1)
- Periodic twists of $GL_3$-modular forms (2019) (1)
- The purity locus of matrix Kloosterman sums (2022) (1)
- Representation of squares by nonsingular cubic forms (2021) (1)
- BINARY ADDITIVE PROBLEMS FOR POLYNOMIALS OVER FINITE FIELDS (2022) (1)
- On numerical Newton-Okounkov bodies and the existence of Minkowski bases (2016) (1)
- The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions (2023) (1)
- Bounds for Matchings in Nonabelian Groups Will Sawin (2018) (0)
- M 1 , n is usually not uniruled in characteristic p Will Sawin (2019) (0)
- PERIODIC TWISTS OF -AUTOMORPHIC FORMS (2020) (0)
- Monodromy of elliptic curve convolution, seven-point sheaves of G2 type, and motives of Beauville type (2018) (0)
- Square-root cancellation for sums of factorization functions over squarefree progressions in $\mathbb F_q[t]$ (2021) (0)
- General multiple Dirichlet series from perverse sheaves (2022) (0)
- $\overline{M}_{1,n}$ is usually not uniruled in characteristic $p$ (2017) (0)
- ON COMMUTATION OF LIMITS AND COLIMITS (2015) (0)
- The size of wild Kloosterman sums in number fields and function fields (2022) (0)
- An elementary proof that vector bundles on $\mathbb P^1$ split (2011) (0)
- Singularities and vanishing cycles in number theory over function fields (2020) (0)
- Hecke's Theorem on the Different for $3$-Manifolds (2022) (0)
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