Geordie Williamson

Geordie Williamson's AcademicInfluence.com Rankings

Geordie Williamson

Mathematics

#1529

World Rank

#2493

Historical Rank

Number Theory

#141

World Rank

#186

Historical Rank

Algebra

#178

World Rank

#273

Historical Rank

Measure Theory

#4072

World Rank

#4798

Historical Rank

mathematics Degrees

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Mathematics

Why Is Geordie Williamson Influential?

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According to Wikipedia, Geordie Williamson is an Australian mathematician at the University of Sydney. He became the youngest living Fellow of the Royal Society when he was elected in 2018 at the age of 36. Education Educated at Chevalier College, Williamson graduated in 1999 with a UAI of 99.45. He studied at the University of Sydney and graduated with a Bachelor's degree in 2003 and then at the Albert-Ludwigs University of Freiburg, where he received his doctorate in 2008 under the supervision of Wolfgang Soergel. Williamson is the brother of the late James Williamson, a World Solo 24-hour mountain bike champion who died while competing in South Africa in 2010.

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Geordie Williamson'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

The Hodge Theory of Soergel Bimodules (2012) (171)
Advancing mathematics by guiding human intuition with AI (2021) (156)
Tilting modules and the p-canonical basis (2015) (125)
Schubert calculus and torsion explosion (2013) (125)
Parity Sheaves (2009) (101)
Koszul duality for Kac–Moody groups and characters of tilting modules (2017) (70)
The $p$-Canonical Basis for Hecke Algebras (2015) (60)
Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties (2010) (51)
Introduction to Soergel Bimodules (2020) (40)
A geometric model for Hochschild homology of Soergel bimodules (2007) (37)
A geometric construction of colored HOMFLYPT homology (2009) (37)
Algebraic representations and constructible sheaves (2016) (36)
Modular intersection cohomology complexes on flag varieties (2007) (31)
Parity sheaves and tilting modules (2014) (30)
Free-monodromic mixed tilting sheaves on flag varieties (2017) (25)
Diagrammatics for Coxeter groups and their braid groups (2014) (24)
A reducible characteristic variety in type A (2014) (24)
Smith–Treumann theory and the linkage principle (2020) (23)
Perverse sheaves and modular representation theory (2009) (22)
Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory (2014) (20)
On an analogue of the James conjecture (2012) (19)
Standard objects in 2‐braid groups (2012) (19)
On the character of certain tilting modules (2015) (17)
Billiards and Tilting Characters for ${\rm SL}_3$ (2017) (17)
The Hodge theory of the decomposition theorem (2017) (16)
The geometry of Markov traces (2009) (16)
PARITY SHEAVES AND THE HECKE CATEGORY (2018) (15)
Towards combinatorial invariance for Kazhdan-Lusztig polynomials (2021) (13)
Mind your P and Q-symbols: Why the Kazhdan-Lusztig basis of the Hecke algebra of type A is cellular (2003) (12)
Reflection Groups and Coxeter Groups (2020) (12)
Local Hodge theory of Soergel bimodules (2014) (12)
A simple character formula (2019) (11)
The anti-spherical category (2017) (10)
Relative hard Lefschetz for Soergel bimodules (2016) (9)
Soergel Calculus and Schubert Calculus (2015) (9)
On torsion in the intersection cohomology of Schubert varieties (2015) (9)
On cubes of Frobenius extensions (2013) (8)
Characteristic cycles and decomposition numbers (2012) (7)
Localized calculus for the Hecke category (2020) (7)
THE BOUNDED BELOW EQUIVARIANT DERIVED CATEGORY (2009) (7)
A non-perverse Soergel bimodule in type A (2017) (7)
Kazhdan–Lusztig polynomials and subexpressions (2020) (6)
The Hodge theory of the Hecke category (2016) (6)
GENERATORS AND RELATIONS FOR SOERGEL BIMODULES (2013) (6)
Modular representations and reflection subgroups (2020) (5)
Kumar's criterion modulo p (2012) (5)
The Hodge theory of the Decomposition Theorem (after de Cataldo and Migliorini) (2016) (5)
AN ILLUSTRATED GUIDE TO PERVERSE SHEAVES (2016) (5)
Intersection cohomology complexes on low rank flag varieties (2007) (4)
Langlands correspondence and Bezrukavnikov's equivalence (2021) (3)
CALCULATING THE p-CANONICAL BASIS OF HECKE ALGEBRAS (2022) (3)
Perfecting group schemes (2022) (2)
LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS (2020) (2)
THE GEOMETRY OF REFLECTION GROUPS (2013) (1)
Proof of the Hard Lefschetz Theorem (2020) (1)
Numéro 25 GEOMETRIC METHODS IN REPRESENTATION THEORY , II (2018) (1)
Tilting modules and the anti-spherical module (2015) (1)
Lightning Introduction to Category $$\mathcal {O}$$ (2020) (0)
Lightning Introduction to Perverse Sheaves (2020) (0)
‘BRIGHT TREASURES of PERCEPTION’ (2020) (0)
The Hecke Algebra and Kazhdan–Lusztig Polynomials (2020) (0)
Algebraic representations and constructible sheaves (2017) (0)
Books: The clown v. the critic [Book Review] (2013) (0)
The Soergel Categorification Theorem (2020) (0)
Modular intersection cohomology complexes on flag varieties (2011) (0)
A voice from the fringe [Book Review] (2013) (0)
How to Draw Monoidal Categories (2020) (0)
Hodge Theory and Lefschetz Linear Algebra (2020) (0)
On the character of certain tilting modules (2017) (0)
Where writers fear to tread (2010) (0)
AN INTRODUCTION TO BRAID GROUPS AND THEIR CATEGORICAL ACTIONS (2019) (0)
Generators and Relations for Bott–Samelson Bimodules and the Double Leaves Basis (2020) (0)
The “Classical” Theory of Soergel Bimodules (2020) (0)
Connections to Link Invariants (2020) (0)
Noted: Indelible Ink [Book Review] (2010) (0)
A voice from the fringe [Book review of Miller, Alex. Coal Creek (2013).] (2013) (0)
An Introduction to the Brauer and BMW Algebras1 (2003) (0)
Is deep learning a useful tool for the pure mathematician? (2023) (0)
Soergel’s $$\mathbb {V}$$ Functor and the Kazhdan–Lusztig Conjecture (2020) (0)
How to Think About Coxeter Groups (2020) (0)
Shadows of Hodge theory in representation theory (2016) (0)
Category $$\mathcal {O}$$ and the Kazhdan–Lusztig Conjectures (2020) (0)
SIX LECTURES ON DELIGNE-LUSZTIG THEORY (2010) (0)
Strange Beasts [Book Review] (2010) (0)
Noted: Lovesong [Book Review] (2009) (0)
Sheaves on Moment Graphs (2020) (0)
Frobenius Extensions and the One-Color Calculus (2020) (0)
How to Draw Soergel Bimodules (2020) (0)
The p-Canonical Basis (2020) (0)
Noted: Zeitoun [Book Review] (2009) (0)
Singular Soergel Bimodules and Their Diagrammatics (2020) (0)
Rouquier Complexes and Homological Algebra (2020) (0)
Strange beasts [Book review of Hartnett, Sonya. The Midnight Zoo (2010).] (2010) (0)
Cells and Representations of the Hecke Algebra in Type A (2020) (0)
The Dihedral Cathedral (2020) (0)

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