#6,057

Most Influential Person

American mathematician

Mathematics

#391

World Rank

#800

Historical Rank

#180

USA Rank

Measure Theory

#3887

World Rank

#4702

Historical Rank

#1104

USA Rank

By AI Staff

Jordan Ellenberg currently holds the title of John D. MacArthur Professor at the University of Wisconsin. He previously taught at Princeton University, and was a Postdoctoral Fellow at the Mathematical Sciences Research Institute (MSRI). Ellenberg completed his BA in mathematics at Harvard University in 1993, and his PhD in mathematics at Harvard in 1998.

Ellenberg’s work focuses on arithmetic algebraic geometry. Though he has a long list of research publications, lecture invitations, and seminars to his name, Ellenberg is perhaps best known as the author of the best selling book How Not to Be Wrong: The Power of Mathematical Thinking, bringing mathematical logic and thinking to a mainstream reading public. Additionally, Ellenberg has written a novel, The Grasshopper King.

For his work, Ellenberg has received awards and honors including a Guggenheim Fellowship, a Simons Fellowship in Mathematics, the William R. Kellett Award, and numerous grants.

**Featured in Top Influential Mathematicians Today**

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.

- 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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