Volodymyr Mazorchuk

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more recent photo
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Professor of Mathematics,

Department of Mathematics,

University of Uppsala,

Box 480, SE-751 06

Uppsala, SWEDEN

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office: 14237

phone: +46-(0)18-471-3284

fax: +46-(0)18-471-3201

e-mail: mazor [at] math [dot] uu [dot] se

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Short Curriculum Vitae:

Date of Birth: 10 May 1972

1988-1993: student, Kyiv Taras Shevchenko University;

1993-1996: graduate student, Kyiv Taras Shevchenko University;

1996: Ph.D. in Mathematics (Candidate of Physical and Mathematical Sciences),

Kyiv Taras Shevchenko University;

1996-2000: Assistant Professor in Algebra, Department of Mechanics and Mathematics,

Kyiv Taras Shevchenko University;

1998-1999: Alexander von Humboldt Research Fellow in Bielefeld University, Germany.

2000: Habilitation in Mathematics (Doctor of Physical and Mathematical Sciences),

Kyiv Taras Shevchenko University;

2000-2001: Junior Associate of the ICTP, Trieste, Italy;

2000-2001: Research Assistant, Department of Mathematics, Chalmers University of

Technology and Göteborg University;

2001-2007: Senior Lecturer, Department of Mathematics, University of Uppsala.

2002: Docent in Mathematics, University of Uppsala. 

2007-2008: Reader in Pure Mathematics, Department of Mathematics, University of Glasgow 

2007-now: Professor in Mathematics, Department of Mathematics, University of Uppsala  

Full Curriculum Vitae and Publication List: pdf

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Research Interests:

Representation theory of associative algebras and Lie algebras, transformation semigroups.

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Link to my teaching page in Uppsala University

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Events:

"Algebra and Representation Theory Workshop" (Uppsala, December 12, 2008).

"Algebraic Methods in Functional Analysis" (Gothenburg, June 15-17, 2007), a mini-

workshop within the joint research project "Representation theory of algebras and

applications", supported by STINT.

"Categorification in Algebra and Topology" (Uppsala, September 7-10, 2006), conference.

"Algebraic versus analytic representations" (Kyiv, December 8-10, 2005), a mini-

workshop within the joint research project "Representation theory of algebras and

applications", supported by STINT.

"Tame and Wild Workshop" (Uppsala, November 26-28, 2004),  a mini-

workshop within the joint research project "Representation theory of algebras and

applications", supported by STINT.

"Representation Theory and its Applications" (Uppsala, June 22-27, 2004) a satellite

conference to the "Fourth European Congress of Mathematics".

"C^*-algebras, Lie algebras and related topics" (Kyiv, December 4-6, 2003), a mini-

workshop within the joint research project "Representation theory of algebras and

applications", supported by STINT.

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Editorial:

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Texts of talks with OHP:

-- Combinatorial categorification of sl_k-knot invariants, LieGrits Workshop,

Mathematical Institute, University of Oxford, January 3-9, 2008, pdf.

-- Schur-Weyl dualities for symmetric inverse semigroups, Group Embeddings:

Geometry and representations, BIRS, Banff, Canada, September 17-21, 2007, pdf.

-- Quivers, representation, roots and Lie algebras, Uppsala Math. Colloquim, 

September 7, 2007, pdf.

-- Algebraic Categorification, ICRA XII, Torun, August 20-24, 2007, pdf.

-- Categorification, Kostant's problem and generalized Verma modules,

Algebraic and Geometric Lie Theory (AGLT), Århus, June 25-30, 2007, pdf.

-- Categorification of the representation theory of the symmetric group,

Perspectives in Auslander-Reiten theory, Trondheim, May 10-12, 2007, pdf.

-- Category O as a source for categorification, Categorification in Algebra and Topology,

Uppsala, September 7-10, 2006, pdf.

--  Serre functors, category O and symmetric algebras,

Conference on Representation Theory and related Topics, International Center for

Theoretical Physics (ICTP), Trieste, Italy: January 23-28, 2006, pdf.

--  Serre functors and symmetric algebras, Algebraic versus analytic representations,

Workshop, Kyiv, December 8-10, 2005, pdf.

--  Interaction of Ringel and Koszul dualities for quasi-hereditary algebras,

--  A twisted approach to Kostant's problem, Algebra Seminar, Århus University,

Århus, Denmark, May 2005, pdf.

-- A generalization of the identity functor, Representation theory and its

Applications, Uppsala, Sweden, June 2004, pdf.

-- On finitistic dimension of stratified algebras, Pure Maths Colloquium,

Leicester Unievrsity, Leicester, U.K., January 2004, pdf.

-- Finitistic dimension of properly stratified algebras, C^*-algebras, Lie algebras

-- Twisting, completing and approximating category O, IVth International algebraic

confrence, Lviv, Ukraine, August 2003, pdf.

-- Stratified algebras arising in Lie theory, ICRA X, Specialized Workshop, Toronto,

Canada, August 2002, pdf.

-- New properties and applications of Gelfand-Zetlin modules, ICRA X, Toronto,

Canada, August 2002,  pdf.

-- Combinatorics of partial bijections, Docent lecture, Uppsala, Sweden, June 2002, pdf.

-- Structure of generalized Verma modules, "Lie and Jordan algebras", Sao Paulo,

Brazil, May 2002, pdf.

-- Abstract version of Enright's completion, First AMS-SMF meeting, Lyon, France,

July 2001, pdf.

-- Twisted generalized Weyl algebras, First DMV-BMS meeting, Liege, Belgium,

June 2001, pdf. Addition: pdf.

-- Gelfand-Zetlin modules, MPI Oberseminar, Bonn, Germany, May 2001, pdf.

Addition:  pdf.

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BOOK: Classical Finite Transformation Semigroups, An Introduction

Series: Algebra and Applications , Vol. 9 Ganyushkin, Olexandr, Mazorchuk, Volodymyr  

2008, Approx. 340 p. 4 illus., Hardcover, ISBN: 978-1-84800-280-7. Product flyer.

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Recent preprints:

-- Blocks and modules for Whittaker pairs, coauthor P.Batra,

Preprint arxiv:0910.3540, pdf.

-- Some homological properties of the category O, II, Preprint

arxiv:0909.2729, to appear in Representation Theory, pdf.

-- Supports of weight modules over Witt algebras, coauthor K.Zhao, 

Preprint arxiv:0906.0947, pdf.

-- Classification of simple q_2-supermodules, Preprint arxiv:0904.1318, pdf.

-- Koszul duality for stratified algebras II. Properly stratified algebras, 

Preprint arxiv:0812.4120, pdf.

-- Idempotent subquotients of symmetric quasi-hereditary algebras, 

coauthor V.Miemietz, to appear in Illinois J. Math., pdf.

-- Koszul duality for stratified algebras I. Quasi-hereditary algebras, 

Preprint arxiv:0810.3479, to appear in Manuscripta Mathematica, pdf.

-- A new approach to Kostant's problem, coauthor J.Kåhrström, Preprint

2007:64, Uppsala University, pdf.

-- A combinatorial approach to functorial quantum sl_k knot invariants,

coauthor C.Stroppel, Preprint 2007:42, Uppsala University,

to appear in American J. Math.,   pdf.

-- A counter example to Slater's conjecture on basic gaps, coauthor R.Twarock,

Preprint 2002:35, Uppsala University, pdf.

-- The full finite inverse symmetric semigroup IS_n, coauthor O.Ganyushkin,

Preprint 2001:37, Göteborg University,  pdf.

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More papers are available here.

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Some mathematical problems I can not solve can be found here.

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Teaching:

-- Theory of Semigroups, course notes in ukrainian, coauthor O.Ganyushkin, pdf.

-- Jordan normal form, solution guide in ukrainian, pdf.

-- Linear Algebra, matrices and determinants, solution guide in ukrainian

coauthors S.Ovsienko and N.Golovashchuk, doc.gz.

                              Teaching in Uppsala
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In the world of mathematics:

-- The journal homepage is here.

-- The problems from "Our competition" are available here.

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My Erdös number is 2 via Svante Janson.

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My bookmarks

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my old homepage in Kyiv

my old homepage in Göteborg