Faculty

Institution

Unit

Venue

Michael A. Mandell

Professor Mathematics

Indiana University Bloomington

Affiliations

College of Arts & Sciences

Mathematics, Department of

Michael A. Mandell is currently serving as a College Of Arts & Sciences Professor Mathematics at Indiana University Bloomington.

Honors

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Experiences

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Education

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Michael A. Mandell

Indiana University Bloomington

Professor Mathematics

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mathematics applied mathematics topology geometric topology category theory mathematical analysis algebraic geometry geometry and topology algebraic k-theory sphere spectrum graph theory mathematical sciences linear algebra group theory spectral theory ring theory applied algebra abstract algebra analytic number theory topological cyclic homology metric measure spaces persistent homology hypothesis testing confidence intervals stable homotopy theory astronomy cell biology mathematical optimization function spaces combinatorial theory machine learning research universal algebra loop space topological algebra type theory knot theory algebraic theory commutative algebra model theory higher category theory lie group sequence alignment theoretical analysis theoretical mathematics modern algebra finite fields topological data analysis foundation of mathematics bootstrap resampling statistical averaging data aggregation data normalization nonlinear time series model categories diagram spectra equivariant orthogonal spectra p-adic homotopy theory topological hochschild homology localization theorems homotopy type topological k-theory homotopy theory algebraic topology

Notable Scholarly Works

Notable Federal Grants

Collaborators

Chromatic Convergence for the Algebraic K‐Theory of the Sphere Spectrum. Journal of the London Mathematical Society (2026)

Andrew J. BlumbergMichael A. MandellAllen Yuan

chromatic convergencealgebraic k-theorygraph theoryapplied mathematicssphere spectrum

Resampling and Averaging Coordinates on Data. arXiv (Cornell University) (2024)

Andrew J. BlumbergMathieu CarriereJun Hou FungMichael A. Mandell

data integrationstatisticssamplingbootstrap resamplingdata aggregationclusteringdata sciencestatistical averagingmachine learning researchdata normalizationdata management

Subsampling, Aligning, and Averaging to Find Circular Coordinates in Recurrent Time Series. arXiv (Cornell University) (2024)

Andrew J. BlumbergMathieu CarrièreJun Hou FungMichael A. Mandell

machine learningtime seriesapplied mathematicsnonlinear time seriesrecurrent time seriescircular coordinates

A Version of Waldhausen's Chromatic Convergence for Tc$Tc$. Bulletin of the London Mathematical Society (2022)

Andrew J. BlumbergMichael A. MandellAllen Yuan

mathematical analysismathematicschromatic convergenceapplied mathematics

K-Theoretic Tate–Poitou Duality and the Fiber of the Cyclotomic Trace. Inventiones mathematicae (2020)

Andrew J. BlumbergMichael A. Mandell

k-theoretic tate-poitou dualitymathematicsgroup theory

Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories. Memoirs of the American Mathematical Society (2020)

Andrew BlumbergMichael Mandell

mathematical analysistopological hochschildgraph theorywaldhausen categoriesnumber theorycyclic homologycategory theorymathematics

MREC: A Fast and Versatile Framework for Aligning and Matching Point Clouds With Applications to Single Cell Molecular Data. arXiv (Cornell University) (2020)

Andrew J. BlumbergMathieu CarrièreMichael A. MandellRaul RabadanSoledad Villar

sequence alignmentbioinformaticsdata scienceapplied mathematicscell biologyversatile framework

The Eigensplitting of the Fiber of the Cyclotomic Trace for the Sphere Spectrum. arXiv (Cornell University) (2020)

Blumberg, Andrew J.Mandell, Michael A.

sphere spectrumparticle physicsapplied physics

E2 Structures and Derived Koszul Duality in String Topology. Algebraic & Geometric Topology (2019)

Andrew BlumbergMichael Mandell

topologykoszul dualityapplied mathematicsalgebraic topologygeometric topology

The Homotopy Groups of the Algebraic K–Theory of the Sphere Spectrum. Geometry & Topology (2019)

Andrew BlumbergMichael Mandell

topologyhomotopy groupsgeometry and topologyalgebraic k-theorymathematicssphere spectrumgeometrygeometric topology

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Michael A. Mandell

Professor Mathematics

Indiana University Bloomington

Affiliations

College of Arts & Sciences

Mathematics, Department of

Michael A. Mandell is currently serving as a College Of Arts & Sciences Professor Mathematics at Indiana University Bloomington.

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 A. Mandell

Indiana University Bloomington

Professor Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Chromatic Convergence for the Algebraic K‐Theory of the Sphere Spectrum. Journal of the London Mathematical Society (2026)

Andrew J. BlumbergMichael A. MandellAllen Yuan

chromatic convergencealgebraic k-theorygraph theoryapplied mathematicssphere spectrum

Resampling and Averaging Coordinates on Data. arXiv (Cornell University) (2024)

Andrew J. BlumbergMathieu CarriereJun Hou FungMichael A. Mandell

data integrationstatisticssamplingbootstrap resamplingdata aggregationclusteringdata sciencestatistical averagingmachine learning researchdata normalizationdata management

Subsampling, Aligning, and Averaging to Find Circular Coordinates in Recurrent Time Series. arXiv (Cornell University) (2024)

Andrew J. BlumbergMathieu CarrièreJun Hou FungMichael A. Mandell

machine learningtime seriesapplied mathematicsnonlinear time seriesrecurrent time seriescircular coordinates

A Version of Waldhausen's Chromatic Convergence for Tc$Tc$. Bulletin of the London Mathematical Society (2022)

Andrew J. BlumbergMichael A. MandellAllen Yuan

mathematical analysismathematicschromatic convergenceapplied mathematics

K-Theoretic Tate–Poitou Duality and the Fiber of the Cyclotomic Trace. Inventiones mathematicae (2020)

Andrew J. BlumbergMichael A. Mandell

k-theoretic tate-poitou dualitymathematicsgroup theory

Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories. Memoirs of the American Mathematical Society (2020)

Andrew BlumbergMichael Mandell

mathematical analysistopological hochschildgraph theorywaldhausen categoriesnumber theorycyclic homologycategory theorymathematics

MREC: A Fast and Versatile Framework for Aligning and Matching Point Clouds With Applications to Single Cell Molecular Data. arXiv (Cornell University) (2020)

Andrew J. BlumbergMathieu CarrièreMichael A. MandellRaul RabadanSoledad Villar

sequence alignmentbioinformaticsdata scienceapplied mathematicscell biologyversatile framework

The Eigensplitting of the Fiber of the Cyclotomic Trace for the Sphere Spectrum. arXiv (Cornell University) (2020)

Blumberg, Andrew J.Mandell, Michael A.

sphere spectrumparticle physicsapplied physics

E2 Structures and Derived Koszul Duality in String Topology. Algebraic & Geometric Topology (2019)

Andrew BlumbergMichael Mandell

topologykoszul dualityapplied mathematicsalgebraic topologygeometric topology

The Homotopy Groups of the Algebraic K–Theory of the Sphere Spectrum. Geometry & Topology (2019)

Andrew BlumbergMichael Mandell

topologyhomotopy groupsgeometry and topologyalgebraic k-theorymathematicssphere spectrumgeometrygeometric topology

1
2
3
4
5
10 / page

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