Tom Sanders | Academic Influence

Tom Sanders 's AcademicInfluence.com Rankings

Tom Sanders

Mathematics

#903

World Rank

#1585

Historical Rank

Group Theory

#30

World Rank

#40

Historical Rank

Number Theory

#85

World Rank

#119

Historical Rank

Algebra

#752

World Rank

#979

Historical Rank

mathematics Degrees

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Mathematics

Tom Sanders 's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is Tom Sanders Influential?

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According to Wikipedia, Tom Sanders is an English mathematician, working on problems in additive combinatorics at the interface of harmonic analysis and analytic number theory. Education Sanders studied mathematics at the University of Cambridge, where he was awarded a PhD in 2007 for research on arithmetic combinatorics supervised by Timothy Gowers.

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Tom Sanders 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

ANALYSIS OF BOOLEAN FUNCTIONS (2012) (856)
On Roth's theorem on progressions (2010) (164)
On the Bogolyubov–Ruzsa lemma (2010) (150)
TOPICS IN ANALYTIC NUMBER THEORY (2012) (146)
The structure theory of set addition revisited (2012) (68)
On certain other sets of integers (2010) (41)
Additive structures in sumsets (2006) (39)
A quantitative version of the idempotent theorem in harmonic analysis (2006) (36)
Difference sets and the primes (2007) (34)
A Note on Freĭman's Theorem in Vector Spaces (2006) (32)
Boolean Functions with small Spectral Norm (2006) (31)
Monochromatic sums and products (2015) (23)
The Littlewood-Gowers problem (2006) (22)
Green's sumset problem at density one half (2010) (16)
A Quantitative Version of the Non-Abelian Idempotent Theorem (2009) (16)
Appendix to ‘Roth’s theorem on progressions revisited,’ by J. Bourgain (2007) (15)
Three-term arithmetic progressions and sumsets (2006) (11)
Structure in Sets with Logarithmic Doubling (2010) (9)
Roth’s theorem in ℤ4n (2008) (9)
Approximate groups and doubling metrics (2009) (9)
Boolean functions with small spectral norm, revisited (2018) (8)
From polynomial growth to metric balls in monomial groups (2009) (8)
An application of a local version of Chang's theorem (2006) (8)
Popular difference sets (2008) (7)
On a theorem of Shkredov (2008) (7)
Bounds in Cohen’s Idempotent Theorem (2016) (6)
An analytic approach to a weak non-Abelian Kneser-type theorem (2012) (5)
3 Meat in the diet: essential or optional (1998) (4)
Approximate (Abelian) groups (2012) (4)
Solving xz = y2 in certain subsets of finite groups (2016) (4)
The coset and stability rings (2018) (4)
A Freiman-type theorem for locally compact abelian groups (2007) (4)
Fourier uniformity on subspaces (2015) (3)
The ℓ1‐norm of the Fourier transform on compact vector spaces (2006) (2)
APPLICATIONS OF COMMUTATIVE HARMONIC ANALYSIS (2012) (2)
Notes on Bourgain's refinement of Chang's quantitative version of Ruzsa's proof of Freiman's theorem (2007) (2)
Coset decision trees and the Fourier algebra (2018) (2)
Indicator functions in the Fourier-Eymard algebra (2009) (2)
Bootstrapping partition regularity of linear systems (2019) (2)
On monochromatic solutions to $$x-y=z^2$$ (2020) (1)
Another proof of a Freiman-type theorem (2007) (1)
Terence Tao: “Higher Order Fourier Analysis” (2014) (1)
SCHUR’S COLOURING THEOREM FOR NONCOMMUTING PAIRS (2019) (1)
Chowla’s cosine problem (2008) (1)
APPROXIMATE HOMOMORPHISMS BETWEEN THE BOOLEAN CUBE AND GROUPS OF PRIME ORDER (2018) (1)
A statistical approach to covering lemmas (2015) (0)
Bounds in Cohen’s Idempotent Theorem (2020) (0)
Finite-Dimensional Normed Spaces (2020) (0)
The Erdős–Moser Sum-free Set Problem (2018) (0)
Topics in arithmetic combinatorics (2007) (0)
EXAMPLES SHEET, ANALYSIS OF BOOLEAN FUNCTIONS (2012) (0)
Almost homomorphisms between the Boolean cube and groups of prime order (2018) (0)
Contributors to Volume 2 (1990) (0)
Three Diverse Applications on Three Continents for a Single Major Operator (2004) (0)
On inequivalences of sequences of characters (2019) (0)
Terence Tao: “Higher Order Fourier Analysis” (2013) (0)
On certain other sets of integers (2012) (0)
Another Proof of a Fre ˘ Iman-type Theorem (2007) (0)
EXAMPLES SHEET, APPLICATIONS OF COMMUTATIVE HARMONIC ANALYSIS (2012) (0)
The stability of finite sets in dyadic groups (2018) (0)

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