World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
14982
World Ranking
3261
National Ranking
213

Overview

Daniel Quillen was affiliated with the University of Oxford in the United Kingdom.

Their research spanned multiple fields with a predominant focus on mathematics. The main fields of study covered were:

  • Mathematics
  • Neuroscience
  • Materials Science

Within mathematics, their work was further specialized across several subfields, including:

  • Mathematical Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Their main research topics involved:

  • Advanced Algebra and Geometry
  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Advanced Combinatorial Mathematics
  • Homotopy and Cohomology in Algebraic Topology
  • Algebraic Geometry and Number Theory

Quillen published research articles and books. One of their book publications was with Cambridge University Press, titled Topics in Cyclic Theory (2020).

Their recent scholarly output included the paper Levels of Soluble Interleukin 6 Receptor and Asp358Ala Are Associated With Cognitive Performance and Alzheimer Disease Biomarkers, published in 2023 in Neurology Neuroimmunology & Neuroinflammation. This paper reflects an intersection of neuroscience with disease biomarker analysis.

Frequent coauthors in their research collaborations included:

  • Gordon Blower
  • Timothy M. Hughes
  • Suzanne Craft
  • Timothy D. Howard
  • Thomas C. Register

They published primarily in the venue Neurology Neuroimmunology & Neuroinflammation for clinical neuroscience work. Their mathematical research was widely recognized within specialized academic circles.

Best Publications

  • Higher algebraic K-theory: I

    Daniel Quillen

  • Rational homotopy theory

    Daniel Quillen

  • The Spectrum of an Equivariant Cohomology Ring: II

    Daniel Quillen

  • Projective modules over polynomial rings

    Daniel Quillen

  • Homotopy properties of the poset of nontrivial p-subgroups of a group

    Daniel Quillen

  • Superconnections and the Chern character

    Daniel Quillen

  • On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field

    Daniel Quillen

  • Algebra extensions and nonsingularity

    Joachim Cuntz;Daniel Quillen

  • Cyclic homology and the Lie algebra homology of matrices.

    Jean-Louis Loday;Daniel Quillen

  • Superconnections, thom classes, and equivariant differential forms

    Varghese Mathai;Varghese Mathai;Daniel G. Quillen;Daniel G. Quillen

  • On the formal group laws of unoriented and complex cobordism theory

    Daniel Quillen

  • Elementary proofs of some results of cobordism theory using Steenrod operations

    Daniel Quillen

  • On the (co)homology of commutative rings

    Unknown

  • The Mod 2 Cohomology Rings of Extra-special 2-groups and the Spinor Groups.

    Daniel Quillen

  • THE ADAMS CONJECTURE

    Daniel Quillen

  • On the associated graded ring of a group ring

    Daniel G Quillen

  • The mod-p lower central series and the Adams spectral sequence

    Unknown

  • Finite generation of the groups Ki of rings of algebraic integers

    Unknown

  • Excision in bivariant periodic cyclic cohomology

    Joachim Cuntz;Daniel Quillen

  • Cyclic homology and nonsingularity

    Joachim Cuntz;Daniel Quillen

  • Algebra cochains and cyclic cohomology

    Daniel Quillen

  • A cohomological criterion for p-nilpotence

    Daniel Quillen

  • Superconnection character forms and the Cayley transform

    Daniel Quillen

Frequent Co-Authors

Joachim Cuntz
Joachim Cuntz University of Münster
Shlomo Sternberg
Shlomo Sternberg Harvard University
Varghese Mathai
Varghese Mathai University of Adelaide
Jean-Louis Loday
Jean-Louis Loday University of Strasbourg

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