Hyman Bass
#4,320
Most Influential Person Now
American mathematician
Hyman Bass's AcademicInfluence.com Rankings
Hyman Bassmathematics Degrees
Mathematics
#188
World Rank
#433
Historical Rank
#86
USA Rank
Algebraic Topology
#9
World Rank
#15
Historical Rank
#6
USA Rank
Algebra
#24
World Rank
#48
Historical Rank
#11
USA Rank
Measure Theory
#455
World Rank
#651
Historical Rank
#192
USA Rank
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Mathematics
Hyman Bass's Degrees
- PhD Mathematics University of Chicago
- Bachelors Mathematics Princeton University
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Why Is Hyman Bass Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hyman Bass is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998 he was Professor in the Mathematics Department at Columbia University. He is currently the Samuel Eilenberg Distinguished University Professor of Mathematics and Professor of Mathematics Education at the University of Michigan.
Hyman Bass's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Algebraic K-theory (1968) (1542)
- Finitistic dimension and a homological generalization of semi-primary rings (1960) (984)
- Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide? (2005) (981)
- Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. (2000) (929)
- On the ubiquity of Gorenstein rings (1963) (799)
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse (1982) (750)
- K-Theory and stable algebra (1964) (623)
- Solution of the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≥ 2) (1967) (579)
- Combining the Development of Practice and the Practice of Development in Teacher Education (2009) (453)
- THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE (1992) (382)
- The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups (1972) (340)
- Progress in mathematics (1979) (308)
- The Milnor ring of a global field (1973) (285)
- The Smith conjecture (1984) (276)
- Covering theory for graphs of groups (1993) (272)
- The Whitehead group of a polynomial extension (1964) (204)
- "Classical" algebraic K-theory, and connections with arithmetic (1973) (185)
- Injective dimension in Noetherian rings (1962) (183)
- Grothendieck Groups and Picard Groups of Abelian Group Rings (1967) (181)
- Uniform tree lattices (1990) (153)
- Euler characteristics and characters of discrete groups (1976) (147)
- Mathematics, mathematicians, and mathematics education (2005) (141)
- North-Holland Mathematical Library (2005) (130)
- Big projective modules are free (1963) (128)
- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES (1987) (127)
- Chapter VII: Making Believe: The Collective Construction of Public Mathematical Knowledge in the Elementary Classroom (2000) (119)
- With an Eye on the Mathematical Horizon (2009) (118)
- Preparing Teachers to Lead Mathematics Discussions (2011) (117)
- Locally polynomial algebras are symmetric algebras (1976) (113)
- Lectures on topics in algebraic k-theory (1967) (112)
- Groups of integral representation type. (1980) (103)
- Clifford Algebras and Spinor Norms Over a Commutative Ring (1974) (100)
- The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups (1966) (93)
- Some problems in "classical" algebraic K-theory (1973) (91)
- Torsion free and projective modules (1962) (86)
- Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$ (1964) (84)
- Linearizing certain reductive group actions (1985) (82)
- Contributions to algebra : a collection of papers dedicated to Ellis Kolchin (1977) (82)
- Introduction to some methods of algebraic K-theory (1974) (65)
- A non-triangular action ofGa on A3 (1984) (61)
- Projective modules over free groups are free (1964) (55)
- Libération des modules projectifs sur certains anneaux de polynômes (1975) (55)
- Cyclic Renormalization and Automorphism Groups of Rooted Trees (1995) (53)
- The Role of Mathematics Instruction in Building a Socially Just and Diverse Democracy (2005) (51)
- Some remarks on group actions on trees (1976) (50)
- Selected works of Ellis Kolchin with commentary (1999) (49)
- Group Actions on Non-Archimedean Trees (1991) (48)
- Automorphisms of groups and of schemes of finite type (1983) (47)
- Measuring Teacher Quality in Practice (2012) (45)
- Anneaux de Gorenstein (1963) (43)
- Master-slave synchronization from the point of view of global dynamics. (1995) (42)
- Studying Classroom Teaching as a Medium for Professional Development: Proceedings of a U.S.-Japan Workshop. (2002) (39)
- Hermitian K-theory and geometric applications (1973) (39)
- Polynomial flows in the plane (1985) (38)
- Measuring what counts : a conceptual guide for mathematics assessment (1993) (37)
- The Proalgebraic Completion of Rigid Groups (2002) (37)
- Modules which support nonsingular forms (1969) (33)
- Generators and Relations for Cyclotomic Units (1966) (32)
- Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture (2000) (31)
- Projective Modules Over Algebras (1961) (30)
- Descending chains and the Krull ordinal of commutative Noetherian rings (1971) (30)
- Pure and Applied Mathematics A Series of Monographs and Textbooks (1980) (28)
- L 3 of Finite Abelian Groups (1974) (28)
- Automorphism groups of tree actions and of graphs of groups (1996) (26)
- The International Commission on Mathematical Instruction [ICMI]: The Fifteenth ICMI Study: The Professional Education and Development of Teachers of Mathematics (2004) (26)
- Computational Fluency, Algorithms, and Mathematical Proficiency: One Mathematician's Perspective. (2003) (26)
- Vignette of Doing Mathematics: A Meta-cognitive Tour of the Production of Some Elementary Mathematics (2011) (25)
- Some equivariant k-theory of affine algebraic group actions (1987) (24)
- Chapter VI Finitely Generated Subgroups of Gl2 (1984) (23)
- Finite monadic algebras (1958) (23)
- Differential Structure of Étale Extensions of Polynomial Algebras (1989) (20)
- Homological Group Theory: Traces and Euler characteristics (1979) (20)
- Designing opportunities to learn mathematics theory-building practices (2017) (19)
- Higher K-theories (1973) (17)
- The homotopy theory of projective modules (1962) (17)
- Mathematicians as Educators (1998) (17)
- Eigenvalues of Symmetrical Matrices and Graphs (1994) (16)
- Rigidity of Group Actions on Locally Finite Trees (1994) (16)
- Quantities, Numbers, Number Names and the Real Number Line (2018) (16)
- Quadratic modules over polynomial rings (1977) (16)
- The stable structure of quite general linear groups (1964) (15)
- Letter from tate to Iwasawa on a relation between K2 and galois cohomology (1973) (15)
- Arbres, amalgames, SL[2] : cours au Collège de France (1977) (15)
- The Jacobian Conjecture and Inverse Degrees (1983) (14)
- Localisation in the K-theory of invertible algebras (1976) (12)
- Beyond "You Can Do It!" Developing Mathematical Perseverance in Elementary School (2015) (12)
- Poisson Structures and Their Normal Forms (2005) (11)
- Theorems of Jordan and Burnside for algebraic groups (1983) (10)
- e-learning mathematics (2006) (10)
- The international commission on mathematical instruction what? Why? for whom? (2004) (9)
- Locally polynomial algebras are symmetric (1976) (9)
- On generalized strongly nilpotent matrices (1996) (8)
- The Congruence Subgroup Problem (1967) (8)
- How Do You Know that You Know? Making Believe in Mathematics (2009) (7)
- Mathematics and Education: Collaboration in Practice (2014) (7)
- The Role of Mathematics in Education for Democracy (2008) (7)
- Automorphisms of polynomial rings (1983) (7)
- Mathematics and teaching (2015) (6)
- Projective modules with free multiples and powers (1986) (6)
- Aspects that Affect Whole Number Learning: Cultural Artefacts and Mathematical Tasks (2018) (6)
- K 2 des corps globaux [d'après J. Tate, H. Garland, ...] (1971) (6)
- Discreteness criteria for tree automoprhism groups (2001) (5)
- K2 and symbols (1969) (5)
- Some hybrid symplectic group phenomena (1978) (4)
- Personal Reminiscences of the Birth of Algebraic K-theory (2003) (4)
- A remark on an arithmetic theorem of chevalley (1965) (3)
- A finiteness property of affine algebras (1990) (3)
- Polynomial automorphisms and related topics : lecture notes of the international school and workshop ICPA2006, October 2006, Institute of Mathematics Hanoi, Vietnam (2007) (2)
- Projective modules and symmetric algebras (1978) (2)
- Response to the Elizabeth Green Article (2015) (2)
- Proof in Mathematics Education: An Endangered Species? A Review of Teaching and Learning Proof across the Grades: A K-16 Perspective (2011) (2)
- Review of Does Mathematical Study Develop Logical Thinking? Testing the Theory of Formal Discipline (2018) (2)
- Torsion in the Picard group and extension of scalars (1988) (2)
- Samuel Eilenberg ( 1913 – 1998 ) (1998) (2)
- The Fields Medals (II): Solving Geometry Problems with Algebra. (1978) (2)
- Understanding School Mathematics in Terms of Linear Measure and Discrete Real Additive Groups (2018) (2)
- $K_2$ des corps globaux (1971) (2)
- Linearization of Poisson Structures (2005) (2)
- Linearizing Flat Families of Reductive Group Representations (1989) (2)
- Lenstra's calculation of GO (R π), and applications to Morse-Smale diffeomorphisms (1981) (2)
- Keynote Address: mathematicians as Educators (1999) (1)
- Matemáticos como Educadores (2008) (1)
- A Message of Congratulation on Behalf of the International Commission on Mathematical Instruction (2003) (1)
- Algebraic ^-Theory: A Historical Survey (1975) (1)
- K-theory and stable algebra (p. 5 à 60) . The Whitehead group of a polynomial extension (p. 61 à 80) (1964) (1)
- in collaboration with British Society for Research into Learning Mathematics (2001) (1)
- Algebraic K-theory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 1-19 September 1997 (1999) (1)
- School on algebraic K-theory and its applications : (dedicated to H.Bass on the occasion of his 70th birthday), 8-19 July 2002 (2003) (1)
- Generalities on Poisson Structures (2005) (1)
- Is the Real Number Line Something to Be Built or Occupied (2018) (1)
- MATHEMATICIANS AND THE NATIONAL EIGHTH-GRADE TEST (1998) (1)
- Automorphismes de schemas et de groupes de type fini (1982) (1)
- Is the Real Number Line Something to Be Built, or Occupied? (2018) (1)
- Is SK1(ZΠ)=O for Π a finite abelian group (1973) (1)
- Algebraic K-Theory and its Applications: Proceedings of the Workshop and Symposium (1999) (0)
- A super-rigid non-lattice (1998) (0)
- Reprint of Lipman Bers May 22, 1914–October 29, 1993 (2015) (0)
- Designing opportunities to learn mathematics theory-building practices (2017) (0)
- Conjecture Jacobienne et opérateurs différentiels (1989) (0)
- Parabolic Actions, Lattices, and Trees (2001) (0)
- Appendix B: A Third-Grade Math Episode, Seen through the Lens of One Mathematician (1996) (0)
- Centralizers, Normalizers, and Commensurators (2001) (0)
- chapter 12: The Role of Mathematics in Education for Democracy1 (2008) (0)
- Matemáticas, matemáticos y educación matemática (2007) (0)
- Nambu Structures and Singular Foliations (2005) (0)
- Lattices of Nagao Type (2001) (0)
- Review of Does Mathematical Study Develop Logical Thinking? Testing the Theory of Formal Discipline (2018) (0)
- 1965I A REMARK ON AN ARITHMETIC THEOREM OF CHEVALLEY 875 (2010) (0)
- Milnor’s Work in Algebra and Its Ramifications (2014) (0)
- Itinerary calculus and renormalization (1996) (0)
- Spherically transitive automorphisms of rooted trees (1996) (0)
- Math and the Military (1987) (0)
- Closed normal subgroups of Aut(X(q)) (1996) (0)
- Lattices and Volumes (2001) (0)
- In Honor of Vladimir Drinfeld’s 50th Birthday (2013) (0)
- Graphs of Groups and Edge-Indexed Graphs (2001) (0)
- Length Functions, Minimality (2001) (0)
- THEORY BUILDING IN THE MATHEMATICS CURRICULUM ? (0)
- Existence of Tree Lattices (2001) (0)
- Arbitrary Real Volumes, Cusps, and Homology (2001) (0)
- Roles of Mathematicians in Mathematics Education (2014) (0)
- Multiplicative and Quadratic Poisson Structures (2005) (0)
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