Associate Professor

- Undergraduate study at J.E. Purkyně University, Brno, Department of Mathematics (1976–1981).
- Graduate study at Moscow State University, Chair of Higher Geometry and Topology (1983–1987).
- Ph.D. Thesis: "Horizontal cohomology with general coefficients" (Moscow, 1989).
- Habilitation at the Mathematical Institute of the Silesian University, Opava (2000).
- Research:
- Diffieties, the objects of the category of differential equations, introduced by A.M. Vinogradov at the end of seventies.
- Symmetries, conservation laws, coverings, zero-curvature representations, recursion operators, Bäcklund transformations, and other invariants of partial differential equations.
- Identification and classification of integrable systems, especially in differential geometry and physics.

- From Feb. 8, 2013 to Feb. 10, 2014, a member of the Editorial Board of CEJM.
- A member of the Editorial Board of the European Journal of Mathematics.
- Projects: Jets – a set of Maple procedures for routine computations on jet spaces and diffieties. Emphasis is laid on solution of equations in total derivatives, linear and nonlinear, such as those determining infinitesimal symmetries, generating functions of conservation laws, zero-curvature representations, etc. (jointly with Hynek Baran)

- D. Catalano Ferraioli and M. Marvan, The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors,
*Ann. Mat. Pura Appl.,*accepted. - M. Marvan and M.V. Pavlov, Integrable dispersive chains and their multi-phase solutions,
*Lett. Math. Phys.***109**(2019), 1219–1245. - M. Marvan and M.V. Pavlov, A new class of solutions for the multi-component extended Harry Dym equation,
*Wave Motion***74**(2017) 151-158. - A. Hlaváč and M. Marvan, Nonlocal conservation laws of the constant astigmatism equation,
*J. Geom. Phys.***113**(2017) 117-130. - A. Hlaváč and M. Marvan, A reciprocal transformation for the constant astigmatism equation,
*SIGMA***10**(2014) 091, pp. 20. - A. Hlaváč and M. Marvan, On Lipschitz solutions of the constant astigmatism equation,
*J. Geom. Phys.***85**(2014) 88–98. - S. Igonin and M. Marvan, On construction of symmetries and recursion operators from zero-curvature representations and the Darboux–Egoroff system,
*J. Geom. Phys.***85**(2014) 106–123. - A. Hlaváč and M. Marvan, Another integrable case in two-dimensional plasticity,
*J. Phys. A: Math. Theor.***46**(2013) 045203. - M. Marvan and A. Sergyeyev, Recursion operators for dispersionless integrable systems in any dimension,
*Inverse Problems***28**(2012) 025011. - H. Baran and M. Marvan, Classification of integrable Weingarten surfaces possessing an
*sl*(2)-valued zero curvature representation,*Nonlinearity*,**23**(2010) 2577–2597. - M. Marvan, On the spectral parameter problem,
*Acta Appl. Math.***109**(2010) 239–255. - H. Baran and M. Marvan, On integrability of Weingarten surfaces: a forgotten class
*J. Phys. A: Math. Theor.***42**(2009) 404007. - M. Marvan, Sufficient set of integrability conditions of an orthonomic system,
*Found. Comput. Math.***9**(2009) 651–674. - M. Marvan and O. Stolín, On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields,
*J. Math. Phys.***49**(2008), no. 2, 022503. - M. Marvan, A.M. Vinogradov and V.A. Yumaguzhin, Differential invariants of generic hyperbolic Monge–Ampère equations,
*Cent. Eur. J. Math.***5**(2007) 105–133. - M. Marvan and M. Pobořil, Recursion operator for the intrinsic generalized sine-Gordon equation,
*Fundam. Prikl. Mat.***12**(2006) (7) 117–128 (in Russian); English translation:*J. Math. Sci. (N. Y.)***151**(2008) 3151–3158. - H. Baran and M. Marvan, A conjecture concerning nonlocal terms of recursion operators,
*Fundam. Prikl. Mat.***12**(2006) (7) 23–33 (in Russian); English translation:*J. Math. Sci. (N.Y.)***151**(2008) 3083–3090. - M. Marvan, Sufficient set of integrability conditions of an orthonomic system: Extended abstract, in: J. Calmet, W.M. Seiler and R.W. Tucker (eds.),
*Global Integrability of Field Theories,*Proc. GIFT 2006, Cockcroft Inst., Daresbury, November 1–3, 2006 (Universitätsverlag, Karlsruhe, 2006), 243–247. - M. Marvan, A.M. Vinogradov and V.A. Yumaguzhin, Differential invariants of generic hyperbolic Monge–Ampère equations,
*Russian Acad. Sci. Dokl. Math.*405 (2005) 299–301 (in Russian); English translation:*Doklady Mathematics*72 (2005) 883–885. - M. Marvan, Recursion operators for the Einstein equations with symmetries, in:
*Proc. Inst. Math. NAS Ukraine***50**(2004), Part I, 179–183, Proc. Conf. Symmetry in Nonlinear Mathematical Physics, Kyiv, Ukraine, June 23–28, 2003. - M. Marvan, Reducibility of zero curvature representations with application to recursion operators,
*Acta Appl. Math.,***83**(2004) 39–68. - M. Marvan and A. Sergyeyev, Recursion operator for Nizhnik–Novikov–Veselov equation,
*J. Phys. A: Math. Gen.***36**(2003) L87–L92. - M. Marvan, Scalar second order evolution equations possessing an irreducible sl
_{2}-valued zero curvature representation,*J. Phys. A: Math. Gen.***35**(2002) 9431–9439. - M. Marvan, On the horizontal gauge cohomology and nonremovability of the spectral parameter,
*Acta Appl. Math.,***72**(2002) 51–65. - M. Marvan, Geometric aspects of
*S*-integrability, in:*Proc. Seminar Diff. Geom.,*Math. Publ. 2 (Silesian University, Opava, 2000) 131–144. - I.S. Krasil'shchik and M. Marvan, Coverings and integrability of the Gauss-Mainardi-Codazzi equations,
*Acta Appl. Math.***56**(1999) 217–230. - M. Marvan, A direct procedure to compute zero-curvature representations. The case sl
_{2}, in:*Proc. Conf. Secondary Calculus and Cohomological Physics*, Moscow, Aug. 24–31, 1997. - M. Marvan, Some local properties of Bäcklund transformations,
*Acta Appl. Math.***54**(1998) 1–25. - M. Marvan, Another look on recursion operators, in:
*Differential Geometry and Applications*, Proc. Conf. Brno, 1995 (Masaryk University, Brno, 1996) 393–402. - M. Marvan, On zero curvature representations of partial differential equations, in:
*Differential Geometry and Its Applications*, Proc. Conf. Opava, Czechoslovakia, Aug. 24–28, 1992, Math. Publ. 1 (Silesian University, Opava, 1993) 103–122. - M. Marvan, On the
*C*-spectral sequence with "general" coefficients, in:*Differential Geometry and Its Applications,*Proc. Conf. Brno, Czechoslovakia, Aug. 27–Sept. 2, 1989 (World Scientific, Singapore, 1990) 361–371. - M. Marvan, On the horizontal cohomology with general coefficients,
*Rend. Circ. Mat. Palermo Ser. II,***22**(1989) Suppl., 161–170. - M. Marvan, A note on the category of partial differential equations, in:
*Differential Geometry and its Applications (Communications),*Proc. Conf. Brno, Czechoslovakia, Aug. 24–30, 1986 (J.E. Purkyně Univ., Brno, 1987) 235–244. - M. Marvan, On global Lepagean equivalents, in:
*Geometrical Methods in Physics,*Proc. Conf. on Differential Geometry and its Applications, Nové Město na Moravě, Sept. 5–9, 1983 (J.E. Purkyně Univ., Brno, 1984) 185–190. - M. Marvan, On covarieties of coalgebras,
*Arch. Math. (Brno)***21**(1985) 51–64.

See also the publication listing in Google Scholar.

M. Marvan, Horizontal cohomology with general coefficients, thesis.