# Jordan Ellenberg

#6,480

Most Influential Person Now

American mathematician

## Jordan Ellenberg's AcademicInfluence.com Rankings

Jordan Ellenbergmathematics Degrees

Mathematics

#374

World Rank

#770

Historical Rank

#176

USA Rank

Measure Theory

#4065

World Rank

#4790

Historical Rank

#1153

USA Rank

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Mathematics

## Why Is Jordan Ellenberg Influential?

(Suggest an Edit or Addition)According to Wikipedia, Jordan Stuart Ellenberg is an American mathematician who is a professor of mathematics at the University of Wisconsin–Madison. His research involves arithmetic geometry. He is also an author of both fiction and non-fiction writing.

## Jordan Ellenberg's Published Works

### Published Works

- FI-modules and stability for representations of symmetric groups (2012) (342)
- On large subsets of $F_q^n$ with no three-term arithmetic progression (2016) (200)
- FI-modules over Noetherian rings (2012) (160)
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields, II (2009) (139)
- The number of extensions of a number field with fixed degree and bounded discriminant (2003) (98)
- Reflection Principles and Bounds for Class Group Torsion (2007) (89)
- GALOIS REPRESENTATIONS ATTACHED TO Q-CURVES AND THE GENERALIZED FERMAT EQUATION A 4 +B 2 =C p (2003) (87)
- How Not to Be Wrong: The Power of Mathematical Thinking (2014) (82)
- Homology of FI-modules (2015) (81)
- Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) (79)
- Approximate Gradient Coding via Sparse Random Graphs (2017) (66)
- Intracounty modeling of COVID-19 infection with human mobility: Assessing spatial heterogeneity with business traffic, age, and race (2021) (66)
- The Kakeya set and maximal conjectures for algebraic varieties over finite fields (2009) (60)
- Local-global principles for representations of quadratic forms (2006) (51)
- FI-modules: a new approach to stability for S_n-representations (2012) (51)
- Counting extensions of function fields with bounded discriminant and specified Galois group (2005) (48)
- Expander graphs, gonality, and variation of Galois representations (2010) (48)
- THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn (2010) (46)
- On ℓ-torsion in class groups of number fields (2016) (45)
- Linnik's ergodic method and the distribution of integer points on spheres (2010) (36)
- Statistics of Number Fields and Function Fields (2011) (28)
- Arithmetic Veech sublattices of $\SL(2,\Z)$ (2009) (28)
- Endomorphism Algebras of Jacobians (2001) (27)
- Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields (2017) (25)
- On uniform bounds for rational points on nonrational curves (2005) (25)
- Non‐simple abelian varieties in a family: geometric and analytic approaches (2008) (25)
- Pro–$p$ groups and towers of rational homology spheres (2006) (23)
- K3 Surfaces Over Number Fields with Geometric Picard Number One (2004) (23)
- On the modularity of ℚ-curves (2001) (23)
- Fill in the Blanks: Using Math to Turn Lo-Res Datasets into Hi-Res Samples (2011) (22)
- Serre's conjecture over F9 (2001) (22)
- On the Error Term in Duke's Estimate for the Average Special Value of L-Functions (2003) (21)
- Selmer groups and Mordell–Weil groups of elliptic curves over towers of function fields (2006) (21)
- Heights on stacks and a generalized Batyrev–Manin–Malle conjecture (2021) (19)
- Modeling λ‐invariants by p‐adic random matrices (2011) (16)
- ℚ-Curves and Galois Representations (2004) (15)
- AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC (2013) (14)
- Superstrong approximation for monodromy groups (2012) (13)
- How Not To Be Wrong (2014) (12)
- Q-curves and Galois representations (2003) (12)
- Rational Points on Solvable Curves over ℚ via Non-Abelian Chabauty (2017) (11)
- Furstenberg sets and Furstenberg schemes over finite fields (2015) (11)
- Galois invariants of dessins d ’ enfants (2000) (11)
- Algebraic structures on cohomology of configuration spaces of manifolds with flows (2015) (11)
- Random Dieudonné modules, random $p$-divisible groups, and random curves over finite fields (2012) (11)
- Sumsets as unions of sumsets of subsets (2016) (9)
- Galois representations attached to [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-curves and the generalized Fermat equation A4 + B2 = CP (2004) (9)
- Intra-county modeling of COVID-19 infection with human mobility: assessing spatial heterogeneity with business traffic, age and race (2020) (7)
- Every curve is a Teichmüller curve (2009) (7)
- Random pro-$p$ groups, braid groups, and random tame Galois groups (2011) (7)
- Nonvanishing of hyperelliptic zeta functions over finite fields (2019) (7)
- Detection of Planted Solutions for Flat Satisfiability Problems (2015) (6)
- CORRIGENDUM TO "GALOIS REPRESENTATIONS ATTACHED TO Q-CURVES AND THE GENERALIZED FERMAT EQUATION A 4 + B² = C p " (2005) (6)
- On the average number of octahedral modular forms (2003) (6)
- Points of low height on P 1 over number fields and bounds for torsion in class groups (2007) (6)
- Rational points on solvable curves over $\mathbb{Q}$ via non-abelian Chabauty (2017) (6)
- Finite flatness of torsion subschemes of Hilbert-Blumenthal abelian varieties (2001) (5)
- Arithmetic Veech sublattices of $\operatorname{SL}(2,\mathbf{Z})$ (2012) (5)
- An Upper Bound for 3-Rewriteability in Finite Groups (1991) (4)
- Geometry, inference, complexity, and democracy (2020) (3)
- The Ceresa class: tropical, topological, and algebraic (2020) (3)
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ (2005) (3)
- Every curve is a Teichm ¨ uller curve (2009) (2)
- UNDERSTANDING PERSISTENT HOMOLOGY AND PLEX USING A NETWORKING DATASET (2010) (2)
- Congruence ABC implies ABC (1999) (2)
- Positive motivic measures are counting measures (2009) (1)
- The Beauty of Bounded Gaps (2014) (1)
- Sparsity of Integral Points on Moduli Spaces of Varieties (2021) (1)
- IV.5 Arithmetic Geometry (2010) (1)
- The Beauty of Bounded Gaps: A Huge Discovery about Prime Numbers and What It Means for the Future of Mathematics (2013) (1)
- Objective Probabilities in Number Theory (2011) (1)
- 1 7 Se p 19 99 Congruence ABC implies ABC (1999) (0)
- Year Number 吀�eory from Arithmetic Statistics to Zeta Elements (2014) (0)
- Corrigendum to "Galois representations attached to [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-curves and the generalized Fermat equation A4 + B2 = Cp" (2005) (0)
- THE DIOPHANTINE EQUATION A + 2B = C (2008) (0)
- Workshop: Explicit Methods in Number Theory Table of Contents (2007) (0)
- Contemporary Mathematics Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) (0)
- Convergence rates for ordinal embedding (2019) (0)
- Asymptotics of coinvariants of Iwasawa modules under non-normal subgroups (2007) (0)
- Outward-Facing Mathematics: A Pitch (2019) (0)
- III.21 Elliptic Curves (2010) (0)
- Everything and More by David Foster Wallace: a review (2015) (0)
- Exploring Moduli Spaces (1998) (0)
- EXPANDER GRAPHS, GONALITY AND VARIATION OF (2010) (0)
- David Foster Wallace: language, mathematics, memory (2015) (0)
- Upper bounds for the growth of Mordell-Weil ranks in pro-p towers of Jacobians (2010) (0)

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## Other Resources About Jordan Ellenberg

## What Schools Are Affiliated With Jordan Ellenberg?

Jordan Ellenberg is affiliated with the following schools: