Faculty

Institution

Unit

Venue

George M. Bergman

Professor Emeritus Professor of the Graduate School Emeritus Faculty

University of California, Berkeley

Affiliations

College of Letters & Science

Mathematical & Physical Sciences

Mathematics

George M. Bergman is currently serving as a College Of Letters & Science Professor Emeritus Professor of the Graduate School Emeritus Faculty at University of California, Berkeley.

Honors

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Experiences

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Education

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George M. Bergman

University of California, Berkeley

Professor Emeritus Professor of the Graduate School Emeritus Faculty

You can click a keyword to filter the displayed items

mathematics group theory algebra applied mathematics ring theory abstract algebra universal algebra algebraic geometry modern algebra geometric topology homological algebra category theory commutative algebra representation theory number theory graph theory combinatorial theory spectral theory order theory applied algebra algebraic combinatorics lattice theory partially ordered set topological algebra communication function spaces general systems analytic number theory knot theory higher category theory algebraic theory finite fields division rings mathematical optimization mathematical sciences logic in computer science hopf algebra non-commutative algebras geometry of numbers algebraic logic topological semigroups universal derivations universal ring constructions hereditary rings prime ideals homomorphic images pro-nilpotent algebras universal constructions gender studies convex analysis automated deduction quantum chemistry educational psychology educational strategies educational assessment higher education combinatorial optimization filtration projective geometry theoretical mathematics matrix factorization metabelian group logical formalism symbolic computation philosophy of logic abstract interpretation statistical field theories riemannian manifold diamond lemma general algebra fixed-point-free group actions hereditary commutative rings infinite symmetric groups normal subgroups pi ring theory free factorizations mathematical logic

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Elementary Result on Infinite and Finite Direct Sums of Modules. Journal of Algebra (2023)

George M. Bergman

homological algebraring theoryalgebrafinite direct sumsmodern algebranumber theoryabstract algebragroup theoryinfinite dimensional analysisalgebraic geometrymathematicsabstract complexity

A Type of Algebraic Structure Related to Sets of Intervals. Order (2021)

George M. Bergman

representation theoryalgebraic theoryinterval analysisorder theoryalgebraset theorycombinatorial theorycategory theoryabstract algebraalgebraic geometryalgebraic structuresmathematics

On Core Quandles of Groups. Communications in Algebra (2021)

George M. Bergman

communicationalgebranilpotent groupscore quandlesgroup theory

Which Group Algebras Cannot Be Made Zero by Imposing a Single Non-Monomial Relation?. Communications in Algebra (2021)

George M. Bergman

single non-monomial relationgroup algebrasalgebratopological algebragroup theorymathematics

Completeness Results for Metrized Rings and Lattices. Categories and General Algebraic Structures with Application (2019)

George M. Bergman

metrized ringsring theoryalgebracategory theoryhigher category theorylattice (order)group theoryapplied mathematicsalgebraic geometryalgebraic structuresrepresentation theorylattice theory

Some Questions for Possible Submission to the Next Kourovka Notebook. arXiv (Cornell University) (2019)

George M Bergman

next kourovka notebookapplied mathematics

Some Results Relevant to Embeddability of Rings (Especially Group Algebras) in Division Rings. Journal of Algebra (2019)

George M. Bergman

group algebrasring theoryalgebradivision ringsknot theorygroup theorymathematics

Some Results on Counting Linearizations of Posets. arXiv (Cornell University) (2018)

George M. Bergman

combinatoricshomological algebratopological combinatoricscomputational complexitygraph theorydiscrete algorithmsalgebraic combinatoricscombinatorial theoryalgebraic topologycombinatorial optimizationapplied mathematicsspectral theorycombinatorial designscomputer sciencepartially ordered setmathematicscombinatorial hopf algebra

Submonoids of Groups, and Group-Representability of Restricted Relation Algebras. Algebra Universalis (2018)

George M. Bergman

group representationrestricted relation algebrasalgebraic theoryalgebracategory theoryabstract algebragroup theoryrepresentation theorymathematics

Simplicial Complexes With Lattice Structures. Algebraic & Geometric Topology (2017)

George Bergman

topologysimplicial complexesgeometry and topologyalgebraic topologylattice structuresgeometric topology

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George M. Bergman

Professor Emeritus Professor of the Graduate School Emeritus Faculty

University of California, Berkeley

Affiliations

College of Letters & Science

Mathematical & Physical Sciences

Mathematics

George M. Bergman is currently serving as a College Of Letters & Science Professor Emeritus Professor of the Graduate School Emeritus Faculty at University of California, Berkeley.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

George M. Bergman

University of California, Berkeley

Professor Emeritus Professor of the Graduate School Emeritus Faculty

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Elementary Result on Infinite and Finite Direct Sums of Modules. Journal of Algebra (2023)

George M. Bergman

homological algebraring theoryalgebrafinite direct sumsmodern algebranumber theoryabstract algebragroup theoryinfinite dimensional analysisalgebraic geometrymathematicsabstract complexity

A Type of Algebraic Structure Related to Sets of Intervals. Order (2021)

George M. Bergman

representation theoryalgebraic theoryinterval analysisorder theoryalgebraset theorycombinatorial theorycategory theoryabstract algebraalgebraic geometryalgebraic structuresmathematics

On Core Quandles of Groups. Communications in Algebra (2021)

George M. Bergman

communicationalgebranilpotent groupscore quandlesgroup theory

Which Group Algebras Cannot Be Made Zero by Imposing a Single Non-Monomial Relation?. Communications in Algebra (2021)

George M. Bergman

single non-monomial relationgroup algebrasalgebratopological algebragroup theorymathematics

Completeness Results for Metrized Rings and Lattices. Categories and General Algebraic Structures with Application (2019)

George M. Bergman

metrized ringsring theoryalgebracategory theoryhigher category theorylattice (order)group theoryapplied mathematicsalgebraic geometryalgebraic structuresrepresentation theorylattice theory

Some Questions for Possible Submission to the Next Kourovka Notebook. arXiv (Cornell University) (2019)

George M Bergman

next kourovka notebookapplied mathematics

Some Results Relevant to Embeddability of Rings (Especially Group Algebras) in Division Rings. Journal of Algebra (2019)

George M. Bergman

group algebrasring theoryalgebradivision ringsknot theorygroup theorymathematics

Some Results on Counting Linearizations of Posets. arXiv (Cornell University) (2018)

George M. Bergman

Submonoids of Groups, and Group-Representability of Restricted Relation Algebras. Algebra Universalis (2018)

George M. Bergman

group representationrestricted relation algebrasalgebraic theoryalgebracategory theoryabstract algebragroup theoryrepresentation theorymathematics

Simplicial Complexes With Lattice Structures. Algebraic & Geometric Topology (2017)

George Bergman

topologysimplicial complexesgeometry and topologyalgebraic topologylattice structuresgeometric topology

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5
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Institution

University of California, Los Angeles

complex analysis

functional analysis

Walter F. Taylor

Institution

University of Colorado Boulder

mathematical model

topology

Keith Kearnes

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University of Colorado Boulder

mathematical logic

combinatorial theory

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algebra

combinatorial theory

Kiyoshi Igusa

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mathematics

applied mathematics

Eric Friedlander

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algebra

algebraic theory

Brooke Shipley

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category theory

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algebra

commutative algebra

Uwe Nagel

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mathematics

applied mathematics

Xiang-dong Hou

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post-quantum cryptography

cryptographic technology