Volodymyr Mazorchuk
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more recent photo 1 more recent photo 2
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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
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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 at
Uppsala University
"Essén Lectures" (Uppsala, June 17-20, 2013)
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Events:
"Lie Algebras and Applications" (Uppsala, September 6-8, 2012).
"Semigroups and Applications" (Uppsala, August 30 - September 1, 2012).
"Algebraic representation theory confrence" (Uppsala, September 1-3, 2011).
"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:
Since December 2007 I am an Editor of the journal "Algebra and Discrete Mathematics"-------------------------------------------------------
Texts of talks with OHP:
-- Simple supermodules for classical Lie superalgebras, Workshop on
``Super representation theory'', Taipei, Taiwan, May 10-12, 2013, pdf
-- Linear representations of semigroups from 2-categories, Workshop on
-- 2-categories, 2-representations and their applications, LMS Northern regional
meeting and workshop on ``Triangulations and mutations'', Newcastle, UK,
March 18-22, 2013, pdf.
-- Koszul duality between generalized Takiff Lie algebras and superalgebras,
Lie superalgebras, Rome, Italy, December 10-14, 2012, pdf.
-- Endomorphisms of cell 2-representations, Gradings and decomposition
numbers, Stuttgart, Germany, September 24-28, 2012, pdf.
-- Category O for quanum groups, Mathematical physics and developments
in algebra, Special session of 6 ECM, Krakow, Poland, July 3-6, 2012, pdf
-- 2-representations of finitary 2-categories, Category theoretic methods in representation
theory, Ottawa, Canada, October 14-16, 2011, pdf.
-- Higher representation theory and categorification, "Algèbres de Hecke Algèbres de Cherednik
Algèbres amassées et Théorie des Représentations", IESC Cargese, September 12-23, 2011,
lecture_1, lecture_2, lecture_3, lecture_4, lecture_5.
-- 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
and related topics, Mini-workshop, Kyiv, Ukraine, December 2003, pdf.-- 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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BOOK: Lectures on sl_2-modules , Imperial College Press, 2009,
ISBN: 978-1-84816-517-5 1-84816-517-X. Product flyer.
List of typos: pdf.
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BOOK: Lectures on algebraic categorification , The QGM Master Class Series
European Mathematical Society Publishing House, ISBN 978-3-03719-108-8
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Recent preprints:
-- Morita theory for finitary 2-categories, coauthor V.Miemietz,
Preprint arxiv:1304.4698, pdf
-- Parabolic category O for classical Lie superalgebras, to appear in the
Proceedings of the conference "Lie Superalgebras", Rome 2102, pdf
-- Combinatorial Gelfand models for semisimple diagram algebras,
preprint arxiv:1301.1205, pdf.
-- Equivalence of blocks for the general linear Lie superalgebra, coauthors
S.-J. Cheng and W.Wang, preprint arxiv:1301.1204, pdf.
-- Categoification of the Catalan monoid, coauthor A.-L. Grensing,
Preprint arxiv:1211.2597, to appear in Semigroup Forum, pdf
-- Simple Virasoro modules induced from codimension one subalgebras of the
positive part, coauthor E.Wiesner, Preprint arxiv:1209.1691,
to appear in Proc. AMS, pdf
-- Endomorphisms of cell 2-representations, coauthor V.Miemietz,
Preprint arxiv:1207.6236, pdf
-- Weight modules over infinite dimensional Weyl algebras, coauthors V.Futorny
and D.Grantcharov, Preprint arxiv:1207.5780, to appear in Proc. AMS, pdf
-- Simple Virasoro modules which are locally finite over a positive part,
coauthor K.Zhao, Preprint arxiv:1205.5937, pdf
-- On the representation theory of partial Brauer algebras, coauthor Paul Martin,
Preprint arxiv:1205.0464, to appear in Quarterly J. Math., pdf
-- On multisemigroups, coauthor G.Kudryavtseva, Preprint arxiv:1203.6224, pdf
-- Additive versus abelian 2-representations of fiat 2-categories,
coauthor V.Miemietz, Preprint arxiv:1112.4949, pdf
-- Category O for quantum groups, coauthor H.H.Andersen ,
Preprint arxiv:1105.5500, to appear in JEMS, pdf
-- Characterization of simple highest weight modules, coauthor K.Zhao,
Preprint arxiv:1105.1123, to appear in Canadian Math. Bull., pdf
-- Partitioned binary relations, coauthor Paul Martin,
Preprint arxiv:1102.0862, to appear in Math. Scand., pdf
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Old preprints:
-- 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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