Michael J. Hopkins

1. On the nonexistence of elements of Kervaire invariant one
   2016/05/26 by Michael Hill, Michael A. Hill, Michael Hopkins +3 · 33 citations
   Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Geometry and complex manifolds
2. Topological Quantum Field Theories from Compact Lie Groups
   2009/05/06 by Daniel S. Freed, Freed, Daniel S., Michael J. Hopkins +5 · 8 citations
   Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories
3. On P¹-stabilization in unstable motivic homotopy theory
   2023/06/07 by Aravind Asok, Asok, Aravind, Tom Bachmann +3 · 8 citations
   Mathematics · #14F42 19A13 55Pxx #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
4. η-periodic motivic stable homotopy theory over fields
   2020/05/14 by Tom Bachmann, Bachmann, Tom, Michael J. Hopkins +1 · 4 citations
   Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
5. Equivariant symmetric monoidal structures
   2016/10/10 by Michael A. Hill, Hill, Michael A., Michael J. Hopkins +1 · 2 citations
   Mathematics · #18D35 #18D50 #19D23 #55N91 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
6. Intersection Forms of Spin 4-Manifolds and the Pin(2)-Equivariant Mahowald Invariant
   2018/12/10 by Michael J. Hopkins, Hopkins, Michael J., Jianfeng Lin +5 · 2 citations
   Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology
7. Loop Groups and Twisted K-Theory II
   2005/11/09 by Daniel S. Freed, Freed, Daniel S., Michael J. Hopkins +3 · 1 citation
   Mathematics · #19L47 #22E67 (Primary) 19K99 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT)
8. The Odd Fermion
   2024/01/08 by Daniel S. Freed, Michael J. Hopkins, Freed, Daniel S. +3 · 1 citation
   Physics and Astronomy · Mathematics · #Relativity and Gravitational Theory #Quantum Mechanics and Applications #Algebraic and Geometric Analysis
9. Algebraic vector bundles and p-local A¹-homotopy theory
   2020/08/07 by Aravind Asok, Asok, Aravind, Jean Fasel +3 · 1 citation
   Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
10. Unstable motivic and real-étale homotopy theory
    2025/01/26 by Aravind Asok, Tom Bachmann, Asok, Aravind +5 · 1 citation
    Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models
11. Algebraic vs. analytic: a survey
    2026/07/28 by Aravind Asok, Tom Bachmann, Michael J. Hopkins
    Mathematics · #math.AG #math.AT #math.CV #math.HO #math.KT #msc:01A60 #msc:01A85 #msc:14C30 #msc:14F42 #msc:32L10 #msc:55R25