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Prof. RNDr. Jan Slovák, DrSc.

 

• Prof. RNDr. Jan Slovak, DrSc
  born July 16, 1960, in Berlin
  married, 2 children

• Faculty of Science
  Mathematical Institute
  Janackovo nam. 2a
  662 95 Brno
  Czech Republic
  

• Director of the Technology Transfer Office of the Masaryk University, Professor of Mathematics,

• 1979-1983 study of mathematics at the Masaryk University in Brno
• 1990 the CSc degree (PhD), the thesis devoted to bundle functors on fibered manifolds
• 1994 the habilitation (dissertation devoted to natural operators on conformal Riemannian manifolds)
• 1997 the `Doctor of Science' degree DrSc, dissertation devoted to Parabolic Geometries
• 2001 professorship appointment, Mathematics-Geometry, Faculty of Science, Masaryk university in Brno

• 1983-1991 Research Fellow at the Mathematical Institute of the Czechoslovak Academy of Sciences, branch Brno
• 1991-1992 Visiting Professor at the University of Vienna
• 1992-1994 Assistant Professor at the Department of Algebra and Geometry, Faculty of Science, Masaryk University, Brno
• 1994-2001 Associated Professor at the same department
• 8/96-7/97 Australian Research Council Senior Research Fellow, University of Adelaide, South Australia
• since 2001 professor of Mathematics-Geometry, Faculty of Science, Masaryk university in Brno

• Linear algebra and geometry, differential geometry, computational geometry, computational commutative algebra, Lie groups and Lie algebra, representation theory
• MSc. Thesis supervised in differential geometry, representation theory, CAM systems, continuous econometric models
• PhD. Thesis supervised in differential geometry (including computational and algebraic aspects)

• The main area of research is differential geometry. The most important contributions deal with analytical aspects of the theory of natural operators, classification of operators of certain types, and applications of representational techniques in differential geometry. At present, Jan Slovak is mainly interested in all questions concerning the so called parabolic geometries (e.g. conformal, almost quaternionic, CR, etc.) and the relations to the representation theory of Lie groups and Lie algebras. There is also interest in computational aspects and the intention to use CAM computer systems in the main area of research activity.

• 1991/92 -- Universitaet Wien, Austria, Fall Term (Visiting Professor)
• 1994 -- ESI, Austria, 2 months
• 1995 -- Adelaide, Australia, 1 month
• 1996/97 -- Adelaide, Australia, 1 year (ARC Senior Research Fellow)
• 2003 -- Adelaide, Australia, 1 month
• 2005 -- Auckland, New Zealand, 1 month

• 1998-1999 Vice-dean, Faculty of Informatics
• 2/2000-1/2003 Dean of Faculty of Science
• 2/2003-3/2004 Vice-dean, Faculty of Science
• 3/2004-11/2005 Vice-rector for Strategy and Development
• Member of the Scientific Councils of the Faculty of Informatics (since 1998), Faculty of Science (since 2000), and Masaryk University (since 2000)
• Director of the Technology Transfer office (since 2006)

• Member of the European Mathematical Society, Member of the American Mathematical Society, Member of the Union of Czech Mathematicians and Physicists

• European Mathematical Society Council Delegate (1998 -- 2002) and member of the Electronic Publication Committee of EMS (until 2004)
  
• Member or Chairman of the Organizing Committees of numerous international conferences (chairman of Winter School Geometry and Physics, 1995, 1998, 2001, 2003, and 2006, Chairman of the Satellite conference of ICM98, Differential Geometry and Applications, Brno, 1998, for example)
• Invited lectures at the universities in: Adelaide, Auckland, Banff, Berlin, Bonn, Brasov, Brisbane, Canberra, Clausthal, Coimbra, Cracow, Darmstadt, Edinburgh, Kyoto, Leipzig, Liege, Lublin, Luminy, Madrid, Melbourne, Minneapolis, Oklahoma, Palo Alto, Trieste, Vienna, Tokyo
• Member of the Board of Trustees of the CESNET development fund
• Member of the Editorial Board of Differential Geometry and Applications (Elsevier)
• Award by `Český Literární fond' for scientific work in 1985
  Award by the rector of MU for scientific work in 1994

• DOUBROV, Boris a Jan SLOVÁK. Inclusions between parabolic geometries. Pure and Applied Mathematics Quarterly, Boston: Int. Press, 6, 3, od s. 755-780, 26 s. ISSN 1558-8599. 2010.  info
• SLOVÁK, Jan a Andreas CAP. Parabolic Geometries I, Background and General Theory. první. Providence, RI, USA: American Mathematical Society, 2009. 628 s. Mathematical Surveys and Monographs, 154. ISBN 978-0-8218-2681-2. URL info
• SLOVÁK, Jan. Editor-in-Chief Differential Geometry and its Applications. : Elsevier, 2008. Vedoucí redaktor a Editorial Office významného světového časopisu je na MU info
• ČAP, Andreas a Jan SLOVÁK a Vojtěch ŽÁDNÍK. On distinguished curves in parabolic geometries. Transformation Groups, Boston: Birkhauser, 9, 2, od s. 143-166, 24 s. ISSN 1083-4362. 2004. URL info
• SLOVÁK, Jan a Andreas CAP. Weyl structures for parabolic geometries. Mathematica Scandinavica, Aarhus: Aarhus Universitet, 93, 1, od s. 53-90, 38 s. ISSN 0025-5521. 2003.  info
• SLOVÁK, Jan a Andreas CAP a Vladimír SOUČEK. Bernstein-Gelfand-Gelfand sequences. Annals of Mathematics, Princeton University: The Johns Hopkins University Press, 154, 1s. 97-113. ISSN 0003-486X. 2001.  info
• SLOVÁK, Jan a Andreas CAP a Vladimír SOUČEK. Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators. Differential Geometry and its Applications, Amsterdam: Elsevier Science, 12, 1s. 51-84. ISSN 0926-2245. 2000.  info
• SLOVÁK, Jan a Gerd SCHMALZ. The geometry of hyperbolic and elliptic CR-manifolds of codimension two. The Asian Journal of Mathematics, Boston: International Press, 4, 3s. 565-598. ISSN 1093-6106. 2000.  info
• SLOVÁK, Jan a Vladimír SOUČEK. First order invariant differential operators for parabolic geometries. In Seminaires & Congres. France: French Math. Soc., 2000. s. 249-273. ISBN 2-85629-094-9.  info
• SLOVÁK, Jan a A.R. GOVER. Invariant local twistor calculus for quaternionic structures and related geometries. Journal of Geometry and Physics, Amsterdam: Elsevier Science, 32, 1s. 14-56. ISSN 0393-0440. 1999.  info
• SLOVÁK, Jan a Michael G. EASTWOOD. Semiholonomic Verma modules. Journal of Algebra, 197, 2s. 424-448. ISSN 0021-8693. 1997.  info
• SLOVÁK, Jan a Andreas CAP a Vladimír SOUČEK. Invariant operators on structures with almost Hermitian symmetric structures. I. Invariant differentiation. Acta Math. Univ. Comenianae, 66, 1s. 33-69. ISSN 0862-9544. 1997.  info
• SLOVÁK, Jan a Andreas CAP a Vladimír SOUČEK. Invariant operators on structures with almost Hermitian symmmetric structures. II. Normal Cartan connections. Acta Math. Univ. Comenianae, 66, 2s. 203-220. ISSN 0862-9544. 1997.  info
• KOLÁŘ, Ivan a Jan SLOVÁK a Peter W. MICHOR. Natural Operations in Differential Geometry. Berlin-Heidelberg-New York: Springer-Verlag, 1993. 434 s. ISBN 3-540-56235-4.  info
• SLOVÁK, Jan. On invariant operations on a manifolds with connection or metric. Journal of Differential Geometry, 36, 1s. 633-650. ISSN 0022-040X. 1993.  info

Last update: 2006/12/22