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Curriculum vitae
Person Identification
Prof. RNDr. Jan Slovak, DrSc
born July 16, 1960, in Berlin
married, 2 children
Workplace
Faculty of Science
Department of Mathematics and Statistics
Kotlářská 2
611 37 Brno
Czech Republic
Employment Position
Professor of Mathematics - Geometry
Education and Academic Qualifications
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
Employment Summary
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
since 1992 Assistant Professor, Associated Professor, Professor, Masaryk University, Brno
8/96-7/97 Australian Research Council Senior Research Fellow, University of Adelaide, South
Australia
7/2015-6/2023 Director of the Department of Mathematics and Statistics
Pedagogical Activities
Linear algebra and geometry, differential geometry, computational geometry, computational
commutative algebra, Lie groups and Lie algebra, representation theory, servis Maths teaching
MSc. Thesis supervised in differential geometry, representation theory, CAM systems,
continuous econometric models
PhD. Thesis supervised in Geometric Analysis (including computational and algebraic aspects
and applications)
Scientific and Research Activities
The main area of research is differential geometry and geometric analysis. 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 prospective
applications of Cartan geometries (e.g. the so-called parabolic geometries) in Information
Geometry and Geometry of Deep Learning, as well as the relations to the representation theory
of Lie groups and Lie algebras, Algebraic Topology and Geometry.
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Academical Stays
1994 -- ESI, Austria, 2 months
1995 -- Adelaide, Australia, 1 month
2003, 2011, 2013, 2014, 2015, 2016, 2017 -- Adelaide, Canberra Australia, 1 month each
2005, 2008, 2017 -- Auckland, New Zealand, 1 month each
University Activities
1998-1999 Vice-dean, Faculty of Informatics
2/2000-1/2003 Dean of 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 (2006-2012, with a short break)
Director of the Department of Mathematics and Statistics (2015-2023)
Extrauniversity Activities
Member of the European Mathematical Society, Member of the American Mathematical Society,
Member of the Union of Czech Mathematicians and Physicists
Appreciation of Science Community
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, 2005, 2007, 2009,
2011, 2013, 2015, 2017, 2019, 2021, 2022) chairman of Differential Geometry and Applications,
Brno, 1998, 2010, 2013, 2016 for example)
Invited lectures include the universities in: Adelaide, Arhus, Armidale, Auckland, Banff, Bergen,
Berlin, Bonn, Brasov, Brisbane, Brussel, Cambridge, Canberra, Clausthal, Coimbra, College
Station, Cracow, Darmstadt, Dortmund, Edinburgh, Fayetteville, Kyoto, Iowa City, Lecce,
Leipzig, Liege, Lublin, Luminy, Madrid, Marburg, Melbourne, Moscow, Minneapolis, Mumbai,
Norman, Oxford, Palo Alto, Paris, Porto, Potsdam, San Diego, Seoul, Singapore, Sofia,
Sorrento, Stockholm, Tokyo, Tomsk, Torino, Trieste, Tromso, Vienna, Warsaw, Woologong
Member of the Board of Trustees of the CESNET development fund (till 2013)
Editor in Chief of Differential Geometry and Applications (Elsevier), member of the Editorial
Board of CMUC (Charles University, Prague), and Archivum Mathematicum (Masaryk
University, Brno)
Award by `Český Literární fond' for scientific work in 1985
Award by the rector of MU for scientific work in 1994 Award by the rector of MU for scientific
work in 2010
Selected Publications
GOVER, A. Rod a Jan SLOVÁK. Non-holonomic equations for the normal extremals in
geometric control theory. Journal of Geometry and Physics. Elsevier, 2022, roč. 171, January,
s. 104395-104408. ISSN 0393-0440. doi:10.1016/j.geomphys.2021.104395. URL info
BIHONEGN, Temesgen Tsegaye, Sumit KAUSHIK, Avinash BANSAL, Lubomír VOJTÍŠEK a
Jan SLOVÁK. Geodesic fiber tracking in white matter using activation function. Computer
Methods and Programs in Biomedicine. Elsevier, 2021, roč. 208, September, s. "106283", 14 s.
ISSN 0169-2607. doi:10.1016/j.cmpb.2021.106283. URL info
ALEKSEEVSKIY, Dmitry, Alexandr MEDVEDEV a Jan SLOVÁK. Constant curvature models
in sub-Riemannian geometry. Journal of Geometry and Physics. Amsterdam: Elsevier Science
BV, 2019, roč. 138, April, s. 241-256. ISSN 0393-0440. doi:10.1016/j.geomphys.2018.09.013.
Full Text info
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EASTWOOD, Michael George a Jan SLOVÁK. Conformally Fedosov manifolds. Advances in
Mathematics. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, roč. 349,
JUN 20 2019, s. 839-868. ISSN 0001-8708. doi:10.1016/j.aim.2019.04.004. URL info
KUSHNER, Alexei, Valentin V. LYCHAGIN a Jan SLOVÁK. Lectures on Geometry of Monge–
Ampere Equations with Maple. In R. Kycia et al. Nonlinear PDEs, Their Geometry, and
Applications. Basel: Springer Nature, Birkhäuser, 2019. s. 53-94. ISBN 978-3-030-17030-1.
doi:10.1007/978-3-030-17031-8_2. URL info
MINCHEV, Ivan Minchev a Jan SLOVÁK. On the equivalence of quaternionic contact
structures. Annals of Global Analysis and Geometry. Springer, 2018, roč. 53, č. 3, s. 331-375.
ISSN 0232-704X. doi:10.1007/s10455-017-9580-2. URL info
SLOVÁK, Jan. Individualized on-line Education in STEM. In Miroslav Hrubý. Distance
Learning, Simulation and Communication. Brno: University of Defence, 2015. s. 120-126.
ISBN 978-80-7231-992-3. info
GIBSON, David a Jan SLOVÁK. Building Sustainable R&D Centers in Emerging Technology
Regions. 1., elektronické vyd. Brno: Masarykova univerzita, 2015. 240 s. ISBN 978-80-210-
7855-0. doi:10.5817/CZ.MUNI.P210-7855-2015. Čítárna Munispace info
SLOVÁK, Jan a Gerd SCHMALZ. Free CR distributions. Central European Journal of
Mathematics. 2012, roč. 10, č. 5, s. 1896-1913. ISSN 1895-1074. doi:10.2478/s11533-012-0090y.
info
DOUBROV, Boris a Jan SLOVÁK. Inclusions between parabolic geometries. Pure and Applied
Mathematics Quarterly. Boston: Int. Press, 2010, roč. 6, č. 3, s. 755-780. ISSN 1558-8599. 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
ČAP, Andreas, Jan SLOVÁK a Vojtěch ŽÁDNÍK. On distinguished curves in parabolic
geometries. Transformation Groups. Boston: Birkhauser, 2004, roč. 9, č. 2, s. 143-166.
ISSN 1083-4362. URL info
SLOVÁK, Jan a Andreas CAP. Weyl structures for parabolic geometries. Mathematica
Scandinavica. Aarhus: Aarhus Universitet, 2003, roč. 93, č. 1, s. 53-90. ISSN 0025-5521. info
SLOVÁK, Jan, Andreas CAP a Vladimír SOUČEK. Bernstein-Gelfand-Gelfand sequences.
Annals of Mathematics. Princeton University: The Johns Hopkins University Press, 2001,
roč. 154, č. 1, s. 97-113. ISSN 0003-486X. info
SLOVÁK, Jan, 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, 2000, roč. 12, č. 1, s. 51-84. ISSN 0926-2245. 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, 2000, roč. 4,
č. 3, s. 565-598. ISSN 1093-6106. 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, 1999,
roč. 32, č. 1, s. 14-56. ISSN 0393-0440. info
SLOVÁK, Jan a Michael G. EASTWOOD. Semiholonomic Verma modules. Journal of
Algebra. 1997, roč. 197, č. 2, s. 424-448. ISSN 0021-8693. info
SLOVÁK, Jan, Andreas CAP a Vladimír SOUČEK. Invariant operators on structures with
almost Hermitian symmetric structures. I. Invariant differentiation. Acta Math. Univ.
Comenianae. 1997, roč. 66, č. 1, s. 33-69. ISSN 0862-9544. info
SLOVÁK, Jan, Andreas CAP a Vladimír SOUČEK. Invariant operators on structures with
almost Hermitian symmmetric structures. II. Normal Cartan connections. Acta Math. Univ.
Comenianae. 1997, roč. 66, č. 2, s. 203-220. ISSN 0862-9544. info
KOLÁŘ, Ivan, 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. 1993, roč. 36, č. 1, s. 633-650. ISSN 0022-040X. info
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