Faculty

Institution

Unit

Venue

Aravind Asok

Professor

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Aravind Asok is currently serving as a College Of Letters, Arts And Sciences Professor at University of Southern California.

Honors

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Experiences

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Education

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Aravind Asok

University of Southern California

Professor

You can click a keyword to filter the displayed items

mathematics applied mathematics geometric topology topology mathematical sciences algebraic geometry geometry and topology higher category theory projective geometry vector bundles number theory homological algebra particle physics schubert calculus topological properties topological combinatorics mathematical analysis graph theory analytic number theory topological invariants motivic spheres physics spectral theory function spaces algebraic vector bundles computer science rational mechanic modern algebra knot theory ring theory manifold modeling global analysis algebraic structures algebraic theory algebraic analysis nilpotent groups smooth models solvable quotients tamagawa numbers yang-mills theory euler class groups motivic stable cohomotopy algebraic varieties quantum chemistry historical review literary history statistical mechanics statistical physics combinatorial theory nonlinear dynamics group process intermediate representation gauge theory finite geometry finite fields history of mathematics theoretical analysis m-theory set-theoretic topology global geometry riemannian manifold historical scholarship geometric representations manifold learning discrete differential geometry topological data analysis module design principal bundles homogeneous spaces cohomological classification smooth affine threefolds euler classes clutching construction interdisciplinary history homotopy theory history and philosophy of science classics algebra history of science category theory mathematical linguistics applied philosophy foundation of mathematics philosophy of mathematics

Notable Scholarly Works

Notable Federal Grants

Collaborators

Unstable Motivic and Real-éTale Homotopy Theory. arXiv (Cornell University) (2025)

geometric topologyunstable motivicmathematicsalgebraic topologym-theorymathematical sciences

Geometric Models for Algebraic Suspensions. International Mathematics Research Notices (2023)

A AsokA DuboulozP A Østvær

geometric modelinggeometric modelsalgebraic suspensionsmathematics

On P^1-Stabilization in Unstable Motivic Homotopy Theory. arXiv (Cornell University) (2023)

Asok, AravindBachmann, TomHopkins, Michael J.

applied mathematicsparticle physics

Vector Bundles on Algebraic Varieties. EMS Press eBooks (2023)

Aravind AsokJean Fasel

algebraic varietiesvector bundles

Affine Representability of Quadrics Revisited. Journal of Algebra (2022)

Aravind Asok

algebraic geometryaffine representabilityalgebramathematicsmodern algebra

Localization and Nilpotent Spaces in -Homotopy Theory. Compositio Mathematica (2022)

Jean FaselAravind AsokMichael J. Hopkins

topologynilpotent spacesmathematics

On the Whitehead Theorem for Nilpotent Motivic Spaces. arXiv (Cornell University) (2022)

Asok, AravindBachmann, TomHopkins, Michael J.

whitehead theoremgraph theorytheoretical analysistopologymathematicsnilpotent motivic spaces

$${\Mathbb a}^1$$ -Homotopy Theory and Contractible Varieties: A Survey. Lecture notes in mathematics (2021)

Aravind AsokPaul Arne Østvær

algebraic number theoryhomological algebraalgebraic geometrypure mathematicscontractible varietiesmathematicsknot theorynumber theoryapplied mathematics

Euler Class Groups and Motivic Stable Cohomotopy (With an Appendix by Mrinal Kanti Das). Journal of the European Mathematical Society (2021)

Aravind AsokJean Fasel

mrinal kanti dasanalytic number theoryeuler class groupsmotivic stable cohomotopymathematicsgroup theorynumber theorymathematical analysis

Affine Representability Results in ${\Mathbb a}^{1}$-Homotopy Theory III: Finite Fields and Complements. Algebraic geometry (2020)

Aravind AsokMarc HoyoisMatthias Wendt

algebraic geometryapplied mathematics

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Aravind Asok

Professor

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Aravind Asok is currently serving as a College Of Letters, Arts And Sciences Professor at University of Southern California.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Aravind Asok

University of Southern California

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Unstable Motivic and Real-éTale Homotopy Theory. arXiv (Cornell University) (2025)

geometric topologyunstable motivicmathematicsalgebraic topologym-theorymathematical sciences

Geometric Models for Algebraic Suspensions. International Mathematics Research Notices (2023)

A AsokA DuboulozP A Østvær

geometric modelinggeometric modelsalgebraic suspensionsmathematics

On P^1-Stabilization in Unstable Motivic Homotopy Theory. arXiv (Cornell University) (2023)

Asok, AravindBachmann, TomHopkins, Michael J.

applied mathematicsparticle physics

Vector Bundles on Algebraic Varieties. EMS Press eBooks (2023)

Aravind AsokJean Fasel

algebraic varietiesvector bundles

Affine Representability of Quadrics Revisited. Journal of Algebra (2022)

Aravind Asok

algebraic geometryaffine representabilityalgebramathematicsmodern algebra

Localization and Nilpotent Spaces in -Homotopy Theory. Compositio Mathematica (2022)

Jean FaselAravind AsokMichael J. Hopkins

topologynilpotent spacesmathematics

On the Whitehead Theorem for Nilpotent Motivic Spaces. arXiv (Cornell University) (2022)

Asok, AravindBachmann, TomHopkins, Michael J.

whitehead theoremgraph theorytheoretical analysistopologymathematicsnilpotent motivic spaces

$${\Mathbb a}^1$$ -Homotopy Theory and Contractible Varieties: A Survey. Lecture notes in mathematics (2021)

Aravind AsokPaul Arne Østvær

algebraic number theoryhomological algebraalgebraic geometrypure mathematicscontractible varietiesmathematicsknot theorynumber theoryapplied mathematics

Euler Class Groups and Motivic Stable Cohomotopy (With an Appendix by Mrinal Kanti Das). Journal of the European Mathematical Society (2021)

Aravind AsokJean Fasel

mrinal kanti dasanalytic number theoryeuler class groupsmotivic stable cohomotopymathematicsgroup theorynumber theorymathematical analysis

Affine Representability Results in ${\Mathbb a}^{1}$-Homotopy Theory III: Finite Fields and Complements. Algebraic geometry (2020)

Aravind AsokMarc HoyoisMatthias Wendt

algebraic geometryapplied mathematics

1
2
3
4
5
10
10 / page

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Similar Faculty Members

Nicholas Proudfoot

Institution

University of Oregon

mathematics

applied mathematics

Matt Kerr

Institution

Washington University in St. Louis

complex geometry

projective geometry

Henri Moscovici

Institution

Ohio State University

algebraic theory

hopf algebra

Michael Hill

Institution

University of California, Los Angeles

applied mathematics

mathematics

Shulim Kaliman

Institution

University of Miami

algebraic structure

algebraic geometry

Yuri Berest

Institution

Cornell University

topology

low-dimensional topology

Alexandru Chirvasitu

Institution

University at Buffalo

operator algebra

quantum group

Alexander Polishchuk

Institution

University of Oregon

applied mathematics

mathematics

Izzet Coskun

Institution

University of Illinois Chicago

mathematics

algebraic geometry

Robin C. Hartshorne

Institution

University of California, Berkeley

geometry and topology

algebraic structure