Faculty

Institution

Unit

Venue

Michael Hill

Professor

University of California, Los Angeles

Affiliations

the College

Mathematics

Michael Hill is currently serving as a Mathematics Professor at University of California, Los Angeles.

Honors

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Experiences

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Education

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Michael Hill

University of California, Los Angeles

Professor

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applied mathematics mathematics topology homological algebra mathematical analysis category theory algebraic topology geometry and topology spectral theory slice spectral sequence number theory pure mathematics analytic number theory mathematical sciences applied algebra abstract algebra combinatorial theory geometric topology high energy physics ring theory higher category theory algebraic theory commutative algebra modern algebra string theory topological algebra topological modular forms motivic steenrod algebra equivariant slice filtration physiology neuroscience mathematical optimization symptom management medical history integrative medicine clinical investigation internal medicine entrepreneurship small business management mathematics education object detection filtration algebraic structures topological combinatorics universal algebra algebraic combinatorics theoretical analysis index system evidence-based medicine clinical populations general internal medicine clinical disease model theory industrial collaboration inter-firm coordination interorganizational relationships categorical logic modeling notation formal notation suspension structure parameter identification peacemaking memory specificity theta-burst microstimulation human entorhinal area equivariant spectra operadic multiplications invertible modules level structure topological cyclic homology equivariant multiplicative closure g-symmetric monoidal categories topological hochschild homology cohomology theories

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Homological Slice Spectral Sequence in Motivic and Real Bordism. Advances in Mathematics (2024)

Christian CarrickMichael A. HillDouglas C. Ravenel

linear algebrahomological algebragraph theoryanthropologyspectral theoryapplied mathematicslinguistics

The Slice Spectral Sequence of a 𝐶₄-Equivariant Height-4 Lubin–Tate Theory. Memoirs of the American Mathematical Society (2023)

Michael HillXiaoLin ShiGuozhen WangZhouli Xu

computational mathematicsmathematical analysismathematical biologynumber theoryslice spectral sequenceapplied mathematicsmathematics

Transchromatic Extensions in Motivic Bordism. Proceedings of the American Mathematical Society Series B (2023)

Agnès BeaudryMichael HillXiaoLin Danny ShiMingcong Zeng

analytic number theorytranschromatic extensionsapplied mathematicsmotivic bordismmathematicspure mathematics

On the Algebras Over Equivariant Little Disks. Journal of Pure and Applied Algebra (2022)

Michael A. Hill

equivariant little disksalgebraabstract algebraapplied mathematicsalgebraic geometryapplied algebrapure mathematics

On the Slice Spectral Sequence for Quotients of Norms of Real Bordism. arXiv (Cornell University) (2022)

Beaudry, AgnèsHill, Michael A.Lawson, TylerShi, XiaoLin DannyZeng, Mingcong

real bordismparticle physicsslice spectral sequenceapplied mathematics

Bousfield Localization. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

bousfield localizationliterature

Enriched Category Theory. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

category theoryenriched category theorymathematics

Equivariant Homotopy Theory. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

geometry and topologyequivariant homotopy theoryapplied mathematics

Equivariant Stable Categories for Incomplete Systems of Transfers. Journal of the London Mathematical Society (2021)

Andrew J. BlumbergMichael A. Hill

equivariant stable categoriesincomplete systemsmathematical analysisapplied mathematics

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

kervaire invariant problemnumerical analysisapplied mathematics

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Michael Hill

Professor

University of California, Los Angeles

Affiliations

the College

Mathematics

Michael Hill is currently serving as a Mathematics Professor at University of California, Los Angeles.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Michael Hill

University of California, Los Angeles

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Homological Slice Spectral Sequence in Motivic and Real Bordism. Advances in Mathematics (2024)

Christian CarrickMichael A. HillDouglas C. Ravenel

linear algebrahomological algebragraph theoryanthropologyspectral theoryapplied mathematicslinguistics

The Slice Spectral Sequence of a 𝐶₄-Equivariant Height-4 Lubin–Tate Theory. Memoirs of the American Mathematical Society (2023)

Michael HillXiaoLin ShiGuozhen WangZhouli Xu

computational mathematicsmathematical analysismathematical biologynumber theoryslice spectral sequenceapplied mathematicsmathematics

Transchromatic Extensions in Motivic Bordism. Proceedings of the American Mathematical Society Series B (2023)

Agnès BeaudryMichael HillXiaoLin Danny ShiMingcong Zeng

analytic number theorytranschromatic extensionsapplied mathematicsmotivic bordismmathematicspure mathematics

On the Algebras Over Equivariant Little Disks. Journal of Pure and Applied Algebra (2022)

Michael A. Hill

equivariant little disksalgebraabstract algebraapplied mathematicsalgebraic geometryapplied algebrapure mathematics

On the Slice Spectral Sequence for Quotients of Norms of Real Bordism. arXiv (Cornell University) (2022)

Beaudry, AgnèsHill, Michael A.Lawson, TylerShi, XiaoLin DannyZeng, Mingcong

real bordismparticle physicsslice spectral sequenceapplied mathematics

Bousfield Localization. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

bousfield localizationliterature

Enriched Category Theory. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

category theoryenriched category theorymathematics

Equivariant Homotopy Theory. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

geometry and topologyequivariant homotopy theoryapplied mathematics

Equivariant Stable Categories for Incomplete Systems of Transfers. Journal of the London Mathematical Society (2021)

Andrew J. BlumbergMichael A. Hill

equivariant stable categoriesincomplete systemsmathematical analysisapplied mathematics

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem. Cambridge University Press eBooks (2021)

Michael A. HillMichael J. HopkinsDouglas C. Ravenel

kervaire invariant problemnumerical analysisapplied mathematics

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algebra

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