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Mathematics

D-Index
53
Citations
21093
World Ranking
874
National Ranking
421

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2006 - US President's National Medal of Science "For his fundamental contributions to pure mathematics, especially in the creation of algebraic K-theory, his profound influence on mathematics education, and his service to the mathematics research and education communities.", Awarded by President George W. Bush in a White House ceremony on July 27, 2007.
  • 2001 - Fellow, The World Academy of Sciences
  • 1982 - Member of the National Academy of Sciences
  • 1981 - Fellow of the American Academy of Arts and Sciences
  • 1981 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1975 - Frank Nelson Cole Prize in Algebra
  • 1968 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Hyman Bass is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans several primary fields including Mathematics, Social Sciences, and Engineering, with a focus on various subfields and topical areas.

The main topics of work explored by Hyman Bass include:

  • Mathematics Education and Teaching Techniques
  • History and Theory of Mathematics
  • Mathematics and Applications
  • Innovative Education and Learning Practices
  • Advanced Numerical Analysis Techniques
  • Manufacturing Process and Optimization
  • Advanced Topology and Set Theory

Within the subfields of study, their work concentrates on:

  • Geometry and Topology
  • Education
  • Theoretical Computer Science
  • Human Factors and Ergonomics
  • Computational Mechanics

Hyman Bass has published multiple papers in notable venues, including the Notices of the American Mathematical Society and arXiv (Cornell University). Their recent papers are:

  • "Deborah Loewenberg Ball: Teaching/Learning Mathematics Teaching" (2024, Notices of the American Mathematical Society)
  • "Interview with Hyman Bass" (2025, arXiv (Cornell University))
  • "Interview with Hyman Bass" (2025, Notices of the American Mathematical Society)

Coauthors frequently collaborating with Hyman Bass include Lisa Carbone and Yuru Lai.

In addition to journal articles, Hyman Bass has authored a book published by the Serbian Mathematical Society titled "The Mathematical Neighborhoods of School Mathematics" (2023), which has received citations in academic use.

The scientist's work has been recognized with several awards, reflecting their ongoing contributions over multiple decades. These honors include:

  • Fellow of the American Mathematical Society (2013)
  • US President's National Medal of Science (2006) for contributions in pure mathematics, mathematics education, and service to related communities, awarded by President George W. Bush
  • Fellow of The World Academy of Sciences (2001)
  • Member of the National Academy of Sciences (1982)
  • Fellow of the American Academy of Arts and Sciences (1981)
  • Fellow of the American Association for the Advancement of Science (AAAS) (1981)
  • Frank Nelson Cole Prize in Algebra (1975)
  • Fellow of John Simon Guggenheim Memorial Foundation (1968)

Best Publications

  • Algebraic K-theory

    Hyman Bass

  • Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide?

    Deborah Loewenberg Ball;Heather C. Hill;Hyman Bass

  • Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics.

    DL Ball;H Bass;J In;CT Westport

  • Finitistic dimension and a homological generalization of semi-primary rings

    Hyman Bass

  • On the ubiquity of Gorenstein rings

    Hyman Bass

  • The Jacobian conjecture: Reduction of degree and formal expansion of the inverse

    Hyman Bass;Edwin H. Connell;David Wright

  • $K$-theory and stable algebra

    Hyman Bass

  • Solution of the congruence subgroup problem for $SL_n (n \ge 3)$ and $Sp_{2n} (n \ge 2)$

    Hyman Bass;John Milnor;Jean-Pierre Serre

  • Combining the Development of Practice and the Practice of Development in Teacher Education.

    Deborah Loewenberg Ball;Laurie Sleep;Timothy A. Boerst;Hyman Bass

  • THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

    Hyman Bass

  • Covering theory for graphs of groups

    Hyman Bass

  • The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

    H. Bass

  • The Smith conjecture

    John W. Morgan;Hyman Bass

  • The Milnor ring of a global field

    H. Bass;J. Tate

  • Injective dimension in Noetherian rings

    Hyman Bass

  • The Whitehead group of a polynomial extension

    Hyman Bass;Alex Heller;Richard G. Swan

  • Grothendieck Groups and Picard Groups of Abelian Group Rings

    Hyman Bass;M. Pavaman Murthy

  • Uniform tree lattices

    Hyman Bass;Ravi Kulkarni

  • Preparing Teachers to Lead Mathematics Discussions

    Timothy A. Boerst;Laurie Sleep;Deborah Loewenberg Ball;Hyman Bass

  • Euler characteristics and characters of discrete groups

    Hyman Bass

  • North-Holland Mathematical Library

    M. Artin;H. Bass;J. Eells;W. Feit

  • Progress in mathematics

    Hyman Bass;J. Oesterlé;Alan Weinstein

Frequent Co-Authors

Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science
Deborah Loewenberg Ball
Deborah Loewenberg Ball University of Michigan–Ann Arbor
Alan Weinstein
Alan Weinstein University of California, Berkeley
Richard G. Swan
Richard G. Swan University of Chicago
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Samuel Eilenberg
Samuel Eilenberg Columbia University
Jean-Pierre Serre
Jean-Pierre Serre Collège de France
Heather C. Hill
Heather C. Hill Harvard University
Lars Hörmander
Lars Hörmander Lund University
Jo Boaler
Jo Boaler Stanford University

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