Docenti del corso di Laurea

  • Prof. Gramchev Todor
  • Prof.: ordinario
  • telefono: +39 0706758534
  • mail: todor@unica.it
  • ufficio: Via Ospedale 72
  • riceve: Martedì 17-19
linea
  • Curriculum:

    CURRICULUM VITAE  of Todor Vassilev GRAMCHEV (GRAMTCHEV) 

    Born: 13  June 1956, Stara Zagora, Bulgaria. Resident in  Cagliari, Italy. 

     
    GRAMTCHEV - official surname (as in the passport, French transliteration from Cyrillic).
    GRAMCHEV - professional surname
    (English trasliteration  from Cyrillic,  for publications, seminars, as in Math. Reviews, Math-Sci-Net etc., only in the first publication in 1981 is used GRAMTCHEFF)

    Institution: Dipartimento di Matematica e Informatica,  Universit\`a di Cagliari  
    Address: via Ospedale 72 \hfill 09124 Cagliari, Italy
    Daytime phone number: +39-070-6758534, Fax number}: +39-070-6758504
    E-mail: todor@unica.it  Homepage: http://riemann.unica.it/~todor/

    Current Appointment: Full Professor (Professore Ordinario), Mathematical Analysis, from August 2001, in  Dipartimento di Matematica e Informatica, Universit\`a di Cagliari.

    Previous Appointments:
    November 1992: Associate Professor (from November 1995 - tenured position),  Mathematical Analysis in  Dipartimento di Matematica e Informatica, Universit\`a di Cagliari;  March   1991:  researcher  in IMI, BAS (Institute of  Mathematics and
    Informatics of the Bulgarian Academy of Sciences); July  1984:  mathematician, from 1986 -- assistant professor in the  Faculty of  Matematics and Informatics of the University  of Sofia, Bulgaria.

    Temporary appointments as a professor for specific mathematical courses (professore incaricato) in the years 2003, 2004 and  2005 for  Bachelor--level students in  Aerospace Engineering (Ingegneria Aerospaziale) of  Politecnico di Torino.

    Ph.D.: 1981/84, Faculty of Mathematics, University of  Sofia and  Institut of  Mathematics, Bulgarian Academy of Sciences; the Ph.D. thesis - on asymptic methods  in the  microlocal singularities ($C^\infty $ and  the study of analytic--Gevrey singularities  of  solutions of linear PDEs.

    BS. and M.S.: 1974/79, Faculty of Mathematics, University  of
    Sofia, Bulgaria; duration 5 (3+2) yearsi; the last two years  -- 
    M.S. specialization  in differential equations. Master's thesis -- on  
    microlocal analysis  and  applications for some  linear PDEs. 

    Current research interests: problems in the realm of gloabl properties of
    PDE and Dynamical Systems in Function Spaces with an emphasis on
    the   development of suitable perturbative methods (both fixed point type and
    KAM type) in scales of function spaces (of analytic, Gevrey,
    finitely smooth functions, aniosotropic Gelfand--Shilov type spaces) using ideas and techniques from Microlocal Analysis (Pseudodifferential Operators and Fourier Integral Operators). Applications for  the study  of global properties of solutions of (pseudo)differential equations in $\R^n$ and on manifolds, in time--frequency analysis, 
    nonlinear evolution PDEs, regularity and decay properties for eigenfunctions,
    solitary travelling   waves, homoclinics. Other research interests are in the theory  of the  normal forms
    for differential equations, vector fields and maps near an equilibrium
    in the presence of resonances, diophantine type  phenomena, Jordan blocks in the linear parts.
    More than 90 publications in international refereed journals, proceedings of international conferences, 1 monographic book, 2 feature articles in Encyclopedia books. More than 200 citations by other authors.  For more details see the exntended list of publications.


    Teaching: Starting from 1992/93, various courses on Mathematical Analysis, Differential Equations, Dynamical Systems for
    students (undergraduate and graduate level, Ph.D. students) in Mathematics, Informatics, Physics, Engineering,
    Calculus  courses for undergraduate students in Biology, Biotechnology and Geosciences in Universit\`a  di Cagliari.
    In the year 2003  a course on Mathematical Analysis for students in Biomedical Engineering and in 2004, 2005 a course on Advanced Mathematical Methods for students in Aerospace Engineering in Politecnico di Torino. 
    Various seminars on PDE, Dynamical Systems and Nonlinear Analysis in
    the University of Sofia (1985-1991), Institute of Mathematics
    and Informatics, Bulgarian Academy of Sciences (1991-1992),
    University of Cagliari (1992--) and in other Universities while being
    a visitor.

     

    Short research visits  for  seminars by invitation,  invited lectures/talks at  conferences, schools, workshops:   starting from 1984 - in Universities and Research Institutes in Austria (Univ. of Innsbruck, 1992, 1994, 2002, 2008; ESI, Vienna, 1997), Brazil (UNICAMP, Campinas, 1995, 1997; IMPA, Rio de Janeiro; 1995, 1997;  Univ. Sao Paolo, Sao Carlos, 1995)
    Bulgaria (IMI, Bulgarian Academy of Sceinces, 2003-; FMI, University of Sofia, 2006, 2007, 2008), (ex)-Chechoslovakia (Univ. of Prague, 1998), France (CIRM, Marseille, 2007; ENS de Lyon 1990, 1991; Inst. "H. Poincare\'e" 1999, 2003--2008; Univ. Bordeaux 2007; Univ. Marne la Valle\'e, 2000; Univ. Nantes 1999; Univ. Orleans, 2003, 2006;  Univ. Paris 6, 1999, 2003-2010; Univ. Toulouse 2003, 2005),   Germany (Inst. Math. Berlin 1988; Univ. Freiberg 1998; Univ. Potsdam, 2003, 2005, Univ. of Gottingen), Greece(Pol. Athens 1996), Italy (staring from 1988 -; ICTP Trieste 1998-20005, Centro Congressi Cortona 1988, 1998,  CIME Cetraro 1998, SNS Pisa 2003, 2006, 2007, IAC Roma, 1992; Univ. Bologna, 1988, 1994, 2000,  Univ. Catania 1992; Univ. Ferrara, 1988-1992, 2000, 2003; Univ. Milano, 2009;  Univ. Napoli, 1999;  Univ.  Padova, 1991, 2003, 2006; Univ. Pavia, 1998; Univ. Pisa 1990-1992, SNS Pisa 2004, 2005, 2007),  Japan (Univ. Chuo, 2000, 2001; Univ. Tsukuba  2001, Univ. Ryukuku, Kyoto, 2001; Univ. Tokai 2001; RIMS Kyoto 2003; Osaka Univ. 2008),  Spain (Europ. Congress. Pol. Barcelona, 2000), Poland (Banach Center 1984, 1986, 1987, 1990, 1999, 2001, 2006-2008, Univ. of Warsaw, 1988, 1990, 2005, Inst. of Math., Warsaw, 2005),  
    UK (Imperial College London, 2002, 2005, 2006-2008, Univ. Bristol, 2005, Univ. "H. Watt" Edinbourgh 2005, Univ. York 2002),    USA (Georgia Tech. Univ. 1997; Univ. Houston, 1997; Univ. Miami, 1997; University of Washington, Seattle, 1999; Univ. Missouri-Columbia, 2001), Serbia -(ex-Yugoslavia) (Univ. Novi Sad, 1992, 2004, 2005, 2009, Inst. Math., Serbian Acad. Sciences, Belgrade, 2009).

    Research visits for longer periods (at least 1 month):

    2003,  2006, 2007, 2008: visiting professor (1 month) in Univ. de Paris 6, France.

    2001:  visiting professor in the  Institute  of  Mathematics of
    Tsukuba University,  Tsukuba, Japan, 2 months, February-March.

    2000: visiting professor in the  Department of  Mathematics of
    Universit'e de Marne la Valle'ee, 1 month, April/May.

    1997:  research in the framework of the  Project `
    `Nonlinear Theory of Generalized Functions'', part 2, PDE,  in the  
    E. Schr\"odinger Institute of Mathematical
    Physics, Vienna, Austria, 1 month, October--November 1997.

    1997:  visiting professor in the  Department of  Mathematics of
    UNICAMP,  Campinas, Brazil, 3 months, June -- September.

    1996: research  in collaboration with  Masafumi Yoshino
    (Chuo University, Tokyo) in  MFO, Oberwolfach, Germany, 
    in the framework of the programme RiP (research in pairs), 5 weeks:
    March--April.

    1995:  visiting professor in the  Department of  Mathematics of
    UNICAMP,   Campinas, Brazil, 3 months, June -- September.

    1991:  visiting mathematician in the  Department of Mathematics, 
    ICTP,  Trieste, Italy, 6 months, June --December.

    1990:  visiting mathematician in the  Department of
    Mathematics,  ICTP,  Trieste, Italy, 5 months, May--September.

    Scientific coordination  of Ph.D. theses. Ph.D. committees.:

    1998-2000: scientific co-advisor,  jointly with Prof.
    Luigi Rodino (Universit\`a di Torino, Italy), of P. Marcolongo and A. Oliaro, Ph.D. students in Mathematics in the Universit\`a di Torino; 


    2001-2004:  tutor of the Ph.D. in Mathematics (Universit\`a di  Cagliari) of E. Tolis


    2007-2010:
    co-tutor, jointly with Prof. G. D'Ambra of the Ph.D. in Mathematics (Universit\`a di  Cagliari) of R. DeLeo.

     2011-: tutor of the Ph.D. in Mathematics (Universit\`a di  Cagliari) of G. Tranquilli (first year)


    Member of the Ph.D. committee in Mathematics of the University of Cagliari (2001--). Supervision of numerous MSc in Mathematics in the University of Cagliari, starting from 1995.

    Various: Referee of international mathematical journals,  Math. Reviews, Zentralblatt. Rreferee for international research projects, 
    member of Ph.D. examining committees  in the University  of 
    Florence (1994), Cagliari (2002, 2009), Genova (2002), Italy; Univ. de Paris 6
    (2002, 2004, 2009), Univ. d'Orleans (2004), Univ. de Paris 6 (2009).
    Member of: American Mathematical Society, 
    European Mathematical Society,  Unione Matematica Italiana, Union of
    Bulgarian Mathematicians.  Memeber of the editorial boards of the mathematical journals Journal of Pseudodifferential Operators, Serdica Math. Journal.

     

    Coordination of projects and grants:
    Scientific coordinator of annual research projects on differential equations and dynamical systems in the University
    of Cagliari, 1998--;  bilateral scientific projects (on evolution equations
    and applications) in Mathematics between the
    University of Cagliari and the Institute of Mathematics and Informatics
    of the Bulgarian Academy of Sciences, 1998, 2001, 2004.
    national research project of GNAMPA, INDAM (Italy), 1999-2005, 2007, 2010, local coordinator of the University of Cagliari team of  MIUR (Italy) PRIN projects 2006, 2008, with other teams in the Universities of Bologna, Ferrara, Padova and Torino. 
     
    Coordinator  of Erasmus projects in Mathematics and Informatics (2004--) with Univ. of Orleans (France), Univ. Hannover and Univ. Potsdam (Germany), Univ. of Sofia and Univ. of Veliko Tarnovo (Bulgaria), Imperial College London (UK).

    Organisation of  international schools and conferences (Cagliari, 2000, 2001, 2003, 2005, 2006, 2008, 2010), (Torino, 2003, 2004),  (Sofia, 2002, 2007, 2010, 2011). 

     

     

    Ten selected recent papers (in the last 5 years):

    \item
    (with S. Pilipovi\' c and L. Rodino), Eigenfunction expansions in $\R^n$, \textit{Proc. Amer. Math. Soc.}, 
    \textbf{139} (2011), 4361--4368

    \item  (with M. Cappiello and D. Gourdin) Cauchy problems for hyperbolic systems in $\R^n$ with irregular principal symbol in time and for  $|x|\to \infty $, \textit{J. of Differential Equations}, \textbf{250} (2011) 2624–-2642.


    \item (with M. Cappiello and L. Rodino) Entire extensions and exponential decay for semilinear elliptic equations, \textit{Journal d'Analyse Mathematique}, \textbf{111}
    (2010), 339--367.

    \item  (with M. Cappiello and L. Rodino) Sub-exponential decay and uniform holomorphic extensions for semilinear differential equations, \textit{Comm.Partial Differential Equations}, \textbf{35} (2010), 846--877.

    \item (with S. Pilipovi\' c, L. Rodino and M.W. Wong), 
    Spectral properties of the twisted bi-Laplacian.
    \textit{Arch. Math. (Basel)} \textbf{93} (2009), 565--575.

    \item (with A. Loi),  TYZ expansion for the Kepler manifold, \textit{Comm. Math. Phys.}, \textbf{289} (2009), 825–-840.

    \item (with D. Gourdin), Global Cauchy problems for hyperbolic systems
    with characteristics admitting superlinear growth for $|x|\to \infty
    $,  \textit{C. R. Math. Acad. Sci. Paris}, {\bf 349} (2009), 49--56

    \item (with M. Yoshino) Simultaneous reduction
    to normal forms of commuting singular vector fields  with linear parts having Jordan blocks,
    \textit{Ann. Inst. Fourier}, {\bf 58}:1 (2008), 263--297.

    \item (with F. Cardin and A. Lovison), Exponential estimates for oscillatory integrals with
    degenerate phase functions, \textit{Nonlinearity},  \textbf{21} (2008), 409--433.

    \item (with D. Gourdin) Global in time solutions of evolution equations
    in scales of Banach function spaces  in $\R^n$, \textit{Bull. Sci. Math.}, \textbf{131}:8 (2007), 761-786.


  • Attività scientifica:

    Problems in the realm of gloabl properties of
    PDE and Dynamical Systems in Function Spaces with an emphasis on
    the    development of suitable perturbative methods (both fixed point type and
    KAM type) in scales of function spaces (of analytic, Gevrey, finitely smooth functions, aniosotropic Gelfand--Shilov type spaces) and applications to mathematical modela appearing in  Mathematical Physics and branches of Applied Sciences.


  • Attività Didattica:

    Starting from 1992/93, various courses on Mathematical Analysis, Differential Equations, Dynamical Systems for
    students (undergraduate and graduate level, Ph.D. students) in Mathematics, Informatics, Physics, Engineering, Calculus  courses for undergraduate students in Biology, Biotechnology and Geosciences in Universit\`a  di Cagliari.
    In the year 2003  a course on Mathematical Analysis for students in Biomedical Engineering and in 2004, 2005 a course on Advanced Mathematical Methods for students in Aerospace Engineering in Politecnico di Torino. 
    Various seminars on PDE, Dynamical Systems and Nonlinear Analysis in
    the University of Sofia (1985-1991), Institute of Mathematics
    and Informatics, Bulgarian Academy of Sciences (1991-1992),
    University of Cagliari (1992--) and in other Universities while being a visitor.


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