Professor Vladimir Bavula

School of Mathematics and Statistics

Professor

V.Bavula@shef.ac.uk
+44 114 222 3786

Full contact details

Professor Vladimir Bavula
School of Mathematics and Statistics
J15
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Research interests

Prof Bavula's research interests are noncommutative Noetherian rings and their modules (especially rings of differential operators and D-modules), dimensions (the Krull dimension, the global homological dimension, the Gelfand-Kirillov dimension, the filter dimension), graded and filtered algebras, groups of algebra automorphisms, various properties of elements of rings and associated algebraic objects (like derivations and associated algebras, etc).

Prof Bavula is particularly interested in simple infinite dimensional Noetherian non-commutative algebras and in various classification problems associated with them.

Publications

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All publications

Journal articles

Chapters

Conference proceedings papers

Working papers

  • Bavula VV () The group of automorphisms of the Jacobian algebra $mA_n$. View this article in WRRO RIS download Bibtex download
  • Bavula VV () ${rm K}_1(mS_1)$ and the group of automorphisms of the algebra $mS_2$ of one-sided inverses of a polynomial algebra in two variables. RIS download Bibtex download
  • Bavula VV () Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras. View this article in WRRO RIS download Bibtex download
Research group

Algebra and Algebraic Geometry

Grants

Past grants, as Principal Investigator

The Conjecture Dixmier EPSRC
Automorphisms, Derivations and Polynomial Integro-Differential Operators RS
Teaching activities
MAS333 Fields
MAS438 Fields