World's Best Scientists 2026 revealed!
Andrew Granville

Andrew Granville

D-Index & Metrics

Mathematics

D-Index
37
Citations
5563
World Ranking
2512
National Ranking
100

Research.com Recognitions

  • 2015 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society
  • 2006 - Fellow of the Royal Society of Canada Academy of Science
  • 1992 - Fellow of Alfred P. Sloan Foundation

Overview

Andrew Granville is a researcher affiliated with the University of Montreal in Canada, with a focus on mathematics and computer science. Their academic work spans multiple subfields, primarily in algebra and number theory, artificial intelligence, discrete mathematics and combinatorics, geometry and topology, and mathematical physics.

Their research covers a range of topics including analytic number theory, limits and structures in graph theory, the history and theory of mathematics, coding theory and cryptography, mathematical dynamics and fractals, as well as logic, programming, and type systems.

Among their recent publications are:

  • Effective Results on the Size and Structure of Sumsets (2023, COMBINATORICA)
  • Sieving intervals and Siegel zeros (2022, Acta Arithmetica)
  • Three conjectures about character sums (2023, Mathematische Zeitschrift)
  • Large deviations of sums of random variables (2021, Lithuanian Mathematical Journal)
  • The multiplication table constant and sums of two squares (2024, Acta Arithmetica)

Granville has published extensively in venues such as arXiv (Cornell University), with 15 publications, Bulletin of the American Mathematical Society with 4 publications, as well as Acta Arithmetica, COMBINATORICA, and Mathematische Zeitschrift.

Frequent collaborators in their work include Aled Walker, George Shakan, Maia Fraser, Michael Harris, and Colin McLarty.

Throughout their career, Granville has received various recognitions. These include being named a Fellow of the Royal Society of Canada in 2006, a Fellow of the American Mathematical Society in 2013, a Member of Academia Europaea in 2015, and a Fellow of the Alfred P. Sloan Foundation in 1992.

Best Publications

  • There are infinitely many Carmichael numbers

    William Robert Alford;Andrew Granville;Carl Pomerance

  • On the Equations zm = F(x, y) and Axp + Byq = Czr

    Henri Darmon;Andrew Granville

  • The distribution of values of L(1, χ d )

    Andrew Granville;K. Soundararajan

  • Smooth numbers: computational number theory and beyond

    Andrew Granville

  • Defect zero p-blocks for finite simple groups

    Andrew Granville;Ken Ono;Ken Ono

  • ABC allows us to count squarefrees

    Andrew Granville

  • Large character sums: Pretentious characters and the Pólya-Vinogradov theorem

    Andrew Granville;Kannan Soundararajan;Kannan Soundararajan

  • Harald Cramér and the distribution of prime numbers

    Andrew Granville

  • Prime Number Races

    Andrew Granville;Greg Martin

  • It is easy to determine whether a given integer is prime

    Andrew Granville

  • Large character sums

    Andrew Granville;K. Soundararajan;K. Soundararajan

  • Limitations to the equi-distribution of primes I

    John Friedlander;Andrew Granville

  • The distribution of the zeros of random trigonometric polynomials

    Andrew Granville;Igor Wigman

  • Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients

    Andrew Granville;Olivier Ramaré

  • Decay of Mean Values of Multiplicative Functions

    Andrew Granville;K. Soundararajan

  • The first case of fermat’s last theorem is true for all prime exponents up to 714, 591, 416, 091, 389

    Andrew Granville;Michael B. Monagan

  • SIEVING AND THE ERDŐS–KAC THEOREM

    Andrew Granville;K. Soundararajan

  • Unexpected Irregularities in the Distribution of Prime Numbers

    Andrew Granville

  • HARALD CRAM ER AND THE DISTRIBUTION OF PRIME NUMBERS

    Andrew Granville

  • Lattice points on circles, squares in arithmetic progressions and sumsets of squares

    Andrew Granville;Javier Cilleruelo

  • Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle

    Andrew Granville

  • Equidistribution in number theory, an introduction

    Andrew Granville;Zeév Rudnick

Frequent Co-Authors

Kannan Soundararajan
Kannan Soundararajan Stanford University
John B. Friedlander
John B. Friedlander University of Toronto
Carl Pomerance
Carl Pomerance Dartmouth College
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
Prasad Tetali
Prasad Tetali Carnegie Mellon University
Robin Pemantle
Robin Pemantle University of Pennsylvania
Ken Ono
Ken Ono University of Virginia
Zeév Rudnick
Zeév Rudnick Tel Aviv University
Paul Erdös
Paul Erdös Hungarian Academy of Sciences

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, expanding skills through related online degrees can open diverse career opportunities. Many professionals consider pursuing an MBA to combine analytical expertise with business acumen. Programs like a one year MBA program offer a fast-track path to leadership roles without long-term commitments.

When switching programs, flexibility is key. Several institutions accommodate credit transfers, and understanding if can you transfer MBA programs is vital for those seeking to optimize time and cost in earning their degree.

Data analytics is another closely aligned field with Mathematics. Specialized data analysis programs are increasingly in demand, providing graduates with tools to interpret complex datasets crucial in business, healthcare, and technology sectors.

For those beginning their educational journey or looking for accessible options, exploring the easiest MBA to get into can be a practical step for building foundational skills and advancing in competitive job markets.

Best Scientists Citing Andrew Granville

Trending Scientists

Recently Published Articles