Daniel Allcock | Academic Influence

Daniel Allcock's AcademicInfluence.com Rankings

Daniel Allcock

Mathematics

#1727

World Rank

#2764

Historical Rank

Measure Theory

#4760

World Rank

#5571

Historical Rank

mathematics Degrees

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Mathematics

Daniel Allcock's Degrees

Bachelors Mathematics Stanford University

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Why Is Daniel Allcock Influential?

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According to Wikipedia, Daniel Allcock is a mathematician specializing in group theory, Lie theory and algebraic geometry. He is a professor of mathematics at the University of Texas at Austin. Career Allcock graduated from the University of Texas in 1991 with a double major in mathematics and physics. He received his Ph.D. from the University of California, Berkeley in 1996 under the supervision of Richard Borcherds and Andrew Casson. After temporary positions at the University of Utah and Harvard University, he returned to the University of Texas as a faculty member in 2002.

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Daniel Allcock'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 complex hyperbolic geometry of the moduli space of cubic surfaces (2000) (152)
The Moduli Space of Cubic Threefolds As a Ball Quotient (2006) (90)
Braid pictures for artin groups (1999) (74)
An isoperimetric inequality for the Heisenberg groups (1998) (65)
The moduli space of cubic threefolds (2003) (57)
A homological characterization of hyperbolic groups (1999) (56)
Cubic surfaces and Borcherds products (2000) (47)
The Leech lattice and complex hyperbolic reflections (2000) (44)
Reflection Groups on the Octave Hyperbolic Plane (1999) (36)
New complex- and quaternion-hyperbolic reflection groups (1999) (35)
A complex hyperbolic structure for moduli of cubic surfaces (1997) (33)
Infinitely many hyperbolic Coxeter groups through dimension 19 (2006) (32)
NORMALIZERS OF PARABOLIC SUBGROUPS OF COXETER GROUPS (2011) (30)
HYPERBOLIC GEOMETRY AND MODULI OF REAL CUBIC SURFACES (2007) (21)
The Reflective Lorentzian Lattices of Rank 3 (2010) (19)
A BANACH SPACE DETERMINED BY THE WEIL HEIGHT (2008) (19)
PRESENTATION OF HYPERBOLIC KAC-MOODY GROUPS OVER RINGS (2014) (18)
The period lattice for Enriques surfaces (1999) (17)
A MONSTROUS PROPOSAL (2006) (14)
STEINBERG GROUPS AS AMALGAMS (2013) (14)
Presentation of affine Kac-Moody groups over rings (2014) (13)
Reflection centralizers in Coxeter groups (2011) (12)
Triangles of Baumslag–Solitar Groups (2008) (10)
On the Y555 complex reflection group (2008) (10)
Asphericity of Moduli Spaces via Curvature (2000) (10)
A new approach to rank one linear algebraic groups (2009) (10)
Completions, branched covers, Artin groups and singularity theory (2011) (9)
Identifying Models of the Octave Projective Plane (1997) (9)
Spotting infinite groups (1999) (9)
Hyperbolic Geometry and the Moduli Space of Real Binary Sextics (2007) (8)
Real Cubic Surfaces and Real Hyperbolic Geometry (2003) (8)
Tropical moduli spaces as symmetric Δ$\Delta$ ‐complexes (2019) (8)
Ideals in the Integral Octaves (1999) (7)
ORTHOGONAL COMPLEX HYPERBOLIC ARRANGEMENTS (2001) (7)
Geometric generators for braid-like groups (2014) (7)
Hyperbolic surfaces with prescribed infinite symmetry groups (2006) (6)
Congruence subgroups and Enriques surface automorphisms (2016) (6)
Non-Arithmetic Uniformization of Some Real Moduli Spaces (2007) (5)
Monodromy groups of Hurwitz-type problems (2008) (5)
Metric curvature of infinite branched covers (1999) (4)
Root systems for Lorentzian Kac–Moody algebras in rank 3 (2012) (4)
Prenilpotent pairs in the E10 root lattice (2017) (4)
Orbits in the Leech Lattice (2005) (3)
A fake projective plane via 2-adic uniformization with torsion (2017) (3)
The densest lattices in PGL3(Q2) (2011) (3)
Nonarithmetic uniformization of some real moduli spaces (2006) (3)
The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type (2018) (3)
Generators for a complex hyperbolic braid group (2017) (3)
Tropical moduli spaces as symmetric 𝚫 -complexes (2022) (2)
Spherical space forms revisited (2015) (2)
PRENILPOTENT PAIRS IN THE E 10 ROOT SYSTEM (2016) (2)
Most big mapping class groups fail the Tits alternative (2020) (1)
Moduli spaces of tropical curves are simply connected (2019) (1)
Prenilpotent pairs in the E10 root system (2014) (1)
Best play in Dots and Boxes endgames (2018) (1)
Variations on Glauberman's ZJ Theorem (2020) (1)
Binary Relations from Tournament Solutions, and Back Again (2014) (1)
An Alternative to Vinberg's Algorithm (2021) (1)
Unabridged table of reflective lattices of rank 3 (2011) (1)
THE DENSEST LATTICES IN PGL (2016) (1)
The Conway–Sloane calculus for 2-adic lattices (2015) (1)
Complex hyperbolic geometry and the monster simple group (conjectural) (2008) (0)
OF HYPERBOLIC KAC – MOODY GROUPS OVER RINGS (2014) (0)
Reflection centralizers in Coxeter groups (2013) (0)
A fake plane via 2-adic uniformization with torsion (2014) (0)
BRANCHED COVERS , ARTIN GROUPS AND SINGULARITY THEORY (2011) (0)
Prenilpotent pairs in E10 (2014) (0)
Best play in Dots and Boxes endgames (2021) (0)
Abstracts of Talks (2014) (0)
PRENILPOTENT PAIRS IN THE E 10 (2017) (0)
Pattern-equivariant Cohomology of Tiling Spaces With Rotations (2006) (0)
Algebra & Number Theory (2016) (0)
Finite presentation of affine Steinberg and Kac-Moody groups over rings (2014) (0)
CONGRUENCE SUBGROUPS AND ENRIQUES SURFACE (2018) (0)
GLAUBERMAN’S ZJ THEOREM (2020) (0)
Curvature of Innnite Branched Covers; Application to Moduli of Cubic Surfaces (1998) (0)
Linear Algebraic Groups without the Normalizer Theorem (2007) (0)
Erratum: Nonarithmetic uniformization of some real moduli spaces (Geometriae Dedicata DOI: 10.1007/s10711-005-9039-7) (2006) (0)

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