Emmanuel Kowalski

Algebra and Number Theory · 2000–2021

A researcher in the Science corpus: 21 papers; trusts 34 researchers and is trusted by 51 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 89 citations into it; #162 of 2,864 by trust here, #72 by citations
• Geometry and Topology — 77 citations into it; #1,232 of 7,422 by trust here, #726 by citations
• Mathematical Physics — 73 citations into it; #876 of 8,562 by trust here, #399 by citations
• Discrete Mathematics and Combinatorics — 43 citations into it; #1,222 of 2,017 by trust here, #471 by citations
• Computational Theory and Mathematics — 15 citations into it; #6,204 of 12,182 by trust here, #8,294 by citations
• Artificial Intelligence — 12 citations into it
• Applied Mathematics — 10 citations into it; #3,312 of 7,620 by trust here, #2,030 by citations

Whom Emmanuel Kowalski trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. P. Michel
2. V. Blomer
3. 'Etienne Fouvry
4. Steven J. Miller
5. Dinakar Ramakrishnan
6. Peter Sarnak
7. Henryk Iwaniec
8. Jon P Keating
9. Kaisa Matomäki
10. William Duke

Who trusts Emmanuel Kowalski overall

1. Alexander Lubotzky
2. P. Michel
3. Gergely Harcos
4. Kaisa Matomäki
5. Stephen D. Miller
6. V. Blomer
7. Kannan Soundararajan
8. J. Cogdell
9. Jean Bourgain
10. J. Brian Conrey

Papers from Emmanuel Kowalski's perspective

Ordered by how strongly the researchers Emmanuel Kowalski trusts endorse each paper. Same corpus, a different order for every researcher.

1. The subconvexity problem for GL2
2. FUNCTORIALITY FOR THE EXTERIOR SQUARE OF GL4 AND THE SYMMETRIC FOURTH OF GL2
3. Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity
4. Primes in Arithmetic Progressions (Series and Products in the Development of Mathematics)
5. The Second Moment of Twisted Modular L-Functions
6. Sparse equidistribution problems, period bounds and subconvexity
7. Mobius Randomness and Dynamics
8. Random Matrices
9. Using Stepanov's method for exponential sums involving rational functions
10. MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS

Their papers

• Expander graphs, gonality, and variation of Galois representations (2010) — 50 citations
• Analytic Number Theory (2021) — 3,195 citations
• Bilinear forms with Kloosterman sums and applications (2015) — 80 citations
• An Introduction to the Representation Theory of Groups (2014) — 60 citations
• On moments of twisted L-functions (2014) — 88 citations
• New equidistribution estimates of Zhang type (2014) — 106 citations
• Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions (2013) — 48 citations
• On the exponent of distribution of the ternary divisor function (2013) — 64 citations
• Algebraic trace functions over the primes (2012) — 112 citations
• Algebraic twists of modular forms and Hecke orbits (2012) — 97 citations
• Local spectral equidistribution for Siegel modular forms and applications (2010) — 50 citations
• On modular signs (2009) — 88 citations
• Mod-Poisson convergence in probability and number theory (2009) — 58 citations
• The Large Sieve and its Applications: Probability theory and random walks (2008) — 57 citations
• Mod-Gaussian convergence: new limit theorems in probability and number theory (2008) — 77 citations
• Zeros of families of automorphic $L$-functions close to 1 (2002) — 67 citations
• Rankin-Selberg $L$-functions in the level aspect (2002) — 282 citations
• Mollification of the fourth moment of automorphic L-functions and arithmetic applications (2000) — 100 citations
• A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations (2000) — 139 citations
• A lower bound for the rank of $J_0(q)$ (2000) — 54 citations