Mike Hill

Q: What Schools Are Affiliated With Mike Hill

Mike Hill is affiliated with the following schools: University of California, Los Angeles, Princeton University, Stanford University, Massachusetts Institute of Technology, University of Virginia, Harvard University

Mike Hill 's AcademicInfluence.com Rankings

Mike Hill

Mathematics

#4072

World Rank

#5865

Historical Rank

#1440

USA Rank

Measure Theory

#5054

World Rank

#5971

Historical Rank

#1420

USA Rank

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Mathematics

Mike Hill 's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Mike Hill Influential?

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According to Wikipedia, Michael Anthony "Mike" Hill is an American mathematician known for his research in topology. He is a professor at the University of California, Los Angeles. Together with Michael J. Hopkins and Douglas Ravenel, he received the American Mathematical Society's Oswald Veblen Prize in Geometry in 2022 for the paper "On the nonexistence of elements of Kervaire invariant one."

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Mike Hill '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

On the nonexistence of elements of Kervaire invariant one (2009) (385)
Operadic multiplications in equivariant spectra, norms, and transfers (2013) (109)
Topological Modular Forms (2014) (96)
The C2–spectrum Tmf1(3) and its invertible modules (2015) (58)
Topological modular forms with level structure (2013) (54)
Equivariant symmetric monoidal structures (2016) (40)
Ext and the Motivic Steenrod Algebra over $\R$ (2009) (40)
Incomplete Tambara functors (2016) (37)
The slice spectral sequence for the $C_{4}$ analog of real $K$-theory (2015) (33)
Equivariant Multiplicative Closure (2013) (27)
On the existence of a $v^{32}_2$-self map on $M(1,4)$ at the prime 2 (2007) (27)
The equivariant slice filtration: a primer (2011) (26)
Topological Hochschild homology of ℓ and ko (2007) (23)
Automorphic forms and cohomology theories on Shimura curves of small discriminant (2009) (23)
G-symmetric monoidal categories of modules over equivariant commutative ring spectra (2015) (22)
The Arf-Kervaire problem in algebraic topology: Sketch of the proof (2010) (22)
The cohomology of C2-equivariant 𝒜(1) and the homotopy of koC2 (2017) (21)
On the algebraic K-theory of truncated polynomial algebras in several variables (2012) (18)
The slice spectral sequence of a $C_4$-equivariant height-4 Lubin-Tate theory (2018) (15)
A new formulation of the equivariant slice filtration with applications to _{}-slices (2017) (13)
THE 3-LOCAL tmf-HOMOLOGY OF BΣ3 (2007) (13)
The slice spectral sequence for certain R O(Cpⁿ)-graded suspensions of HZ (2017) (12)
The Arf-Kervaire Invariant Problem in Algebraic Topology: Introduction (2010) (11)
Homological obstructions to string orientations (2008) (10)
Models of Lubin–Tate spectra via Real bordism theory (2020) (10)
Relative cyclotomic spectra and topological cyclic homology via the norm (2014) (10)
Equivariant stable categories for incomplete systems of transfers (2019) (9)
Equivariant chromatic localizations and commutativity (2017) (9)
On the algebras over equivariant little disks (2017) (9)
The Witt vectors for Green functors (2018) (8)
The string bordism of BE8 and BE8 × BE8 through dimension 14 (2008) (8)
All about $Tmf_1(3)$ (2015) (7)
The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors (2017) (6)
On the André–Quillen homology of Tambara functors (2017) (6)
Interpreting the Bökstedt smash product as the norm (2012) (5)
Freeness and equivariant stable homotopy (2019) (4)
Bi-incomplete Tambara Functors (2021) (3)
The Arf-Kervaire problem in algebraic topology: an introduction (2009) (3)
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem (2021) (3)
Computational methods for higher real k-theory with applications to tmf (2006) (3)
Cyclic comodules, the homology of j, and j-homology (2008) (2)
HOMOTOPICAL CATEGORIES: FROM MODEL CATEGORIES TO (∞,)-CATEGORIES (2019) (2)
Transchromatic extensions in motivic and Real bordism (2020) (2)
Real topological Hochschild homology via the norm and Real Witt vectors (2021) (2)
Free incomplete Tambara functors are almost never flat (2021) (2)
The Slice Spectral Sequence for certain $RO(C_{p^n})$-graded Suspensions of $H\underline{\mathbb Z}$ (2015) (2)
Real Wilson Spaces I (2018) (2)
The slice spectral sequence for certain $$RO({C_{p^{n}}} )$$RO(Cpn)-graded suspensions of $$H{\underline{\mathbf{Z}}}$$HZ̲ (2015) (2)
The 3-local -homology of Σ₃ (2007) (1)
The $3$-local $\mathit{tmf}$-homology of $B\Sigma_3$ (2007) (1)
On the slice spectral sequence for quotients of norms of Real bordism (2022) (1)
The String bordism of $BE_8$ and $BE_8\times BE_8$ through dimension 14 (2008) (1)
The 3-local tmf homology of BSigma_3 (2005) (1)
THE SLICE SPECTRAL SEQUENCE OF MACKEY FUNCTORS FOR THE C 4 ANALOG OF REAL K-THEORY (2014) (1)
On the fate of $\eta^3$ in higher analogues of Real bordism (2015) (1)
Norms for compact Lie groups in equivariant stable homotopy theory (2022) (0)
Quotient rings of $H\mathbb{F}_2 \wedge H\mathbb{F}_2$ (2021) (0)
Equivariant chromatic localizations and commutativity (2018) (0)
Hochschild homology of mod-$p$ motivic cohomology over algebraically closed fields (2022) (0)
$E_k$-pushouts and $E_{k+1}$-tensors (2021) (0)
Irreducible Representations of Gl 2 (f Q ) (1999) (0)
The homological slice spectral sequence in motivic and Real bordism (2023) (0)
The $\mathbb Z$-homotopy fixed points of $C_{n}$ spectra with applications to norms of $MU_{\mathbb R}$ (2018) (0)
Generalized Z-homotopy fixed points of Cn spectra with applications to norms of MUR (2020) (0)
The $5$–local homotopy of $eo_4$ (2008) (0)
Homotopy Theory (2020) (0)

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