Curriculum

 

IN ENGLISH

Todor Vassilev GRAMCHEV (GRAMTCHEV)

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

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

Institution: Dipartimento di Matematica e Informatica, Universit\`a di Cagliari\\ 
Address: via Ospedale 72,  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 {\bf November 1995} – tenured position), Mathematical Analysis (MAT/05) 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). 
Senior research fellow 2$^{nd}$ degree from 1993 a part-time collaborator in the resarch team of the section “Differential Equations” of IMI, BAS. 
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.

Higher Education
Ph.D.: 1981/84, Faculty of Mathematics, University of Sofia & 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. 
B.S. , 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 global properties of PDE and Dynamical Systems in Function Spaces with an emphasis on 
the development of suitable perturbative methods 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), spectral asymptotics for pseudodifferential operators. . Applications for the study of global properties of solutions of (pseudo)differential equations in $\R^n$ and on manifolds, in time–frequency analysis, Cauchy problems for (non)linear evolution PDEs, regularity and decay properties for eigenfunctions, solitary waves, homoclinics, variational solutions. 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. Asymptotic expansions and analytic Gevrey etsimates for oscillatory integrals in geometric optics, functional-analytic problems in Geometric Quantization on noncompact Kaheler manifolds. More than 90 publications in international refereed journals, proceedings of international conferences, 1 monographic book, 2 feature articles in Encyclopedia books. More than 250 citations by other authors. For more details see the extended list of publications.

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 Sciences, 2003-2012; 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. Jena, 1988; Univ. Freiberg 1998; Univ. Potsdam, 2003, 2005; Univ. of Gottingen, 2010, 2011), 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, 2009, 2011, 2012, 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 Universi\’e 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: visiting professor: 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: 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.

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 for Ph.D. students 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.

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. Giuseppina 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.

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. Gottingen, Univ. Hannover and Univ. Potsdam (Germany), Univ. of Sofia and Univ. of Veliko Tarnovo (Bulgaria), Imperial College London (UK), Lineus Univ. (Sweden). 
Organisation (of international schools and conferences: Cagliari (2000, 2001, 2003, 2005, 2006, 2008, 2010, 2012), Torino (2003, 2004), Sofia (2002, 2007, 2010, 2011).. 

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. Member of the editorial boards of the mathematical journals Journal of Pseudodifferential Operators, Serdica Math. Journal.

 

 

 

IN ITALIANO

Todor Vassilev GRAMTCHEV (GRAMCHEV):
GRAMTCHEV – cognome come nei documenti ufficiali;
GRAMCHEV – cognome professionale, per pubblicazioni, la traduzione in inglese, come in Mathematical Reviews.POSIZIONE ATTUALE: Professore Ordinario di Analisi Matematica presso l?Universita’ di Cagliari
DATI PERSONALI: Nato a Stara Zagora (Bulgaria) il 13 giugno 1956.
Residente in Italia, Cagliari, cittadinanza: italiana. 
STUDI:M.S.: 1974/79, Faculty of Mathematics, University of
Sofia, Bulgaria; durata 5 (3+2) anni; Ph.D. (Dottorato di Ricerca): 
1981/84, Faculty of Mathematics, University of Sofia
and Institute of Mathematics, Bulgarian Academy of Sciences.
CARIERA ACCADEMICA: July 1984: assistant professor, University of 
Sofia, Bulgaria; March 1991: researcher in the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences;
Novembre 1992: Profesore associato di Analisi Matematica presso 
l’Universit`a (confermato dal Novembre 1995); Agosto 2001 -:
Professore Straordinario di Analisi Matematica (MAT/05) presso l’Universita’di Cagliari, dall’agosto 2004, professore ordinario. 
ARGOMENTI DI RICERCA: EQUAZIONI ALLE DERIVATE PARZIALI, SISTEMI DINAMICI, APPLICAZIONI. 
Equazioni alle Derivate Parziali, Sistemi Dinamici. Sviluppo di metodi perturbativi (sia del tipo punto fisso sia del tipo KAM) in scale di spazi funzionali di Banach di funzioni analitiche, di Gevrey, di regolarita’ finita) e applicazioni per lo studio delle regolarita’ e il decadimento di soluzioni di equazioni pseudodiferenziali e di loro perturbaziioni semilineari, con una particolare attenzione su autofunzioni, soluzioni del tipo onde viaggianti, omocline. Problemi di Cauchy per sistemi di equazioni (non)lineari, risolubilita’ per EDP in spazi funzionali. Problemi relativi alla convergenza di forme normali per equzioni differenziali, campi vettoriali e applicazioni vicino a punti singolari (di equilibrio) nell’ambito di Sistemi Dinamici. La descrizione delle possibile risonanze e i fenomeni Diofantei nella presenza di blocchi di Jordan per forme normali di campi vettoriali e applicazioni e’ un altro tema della ricerca in corso. 

PUBBLICAZIONI: piu’ di 90 articoli nelle riviste internazionali, 1 monografia, 2 articoli su voci in Enciclopedie, editor di atti di convegno internazionali. Piu’ di 300  citazioni da altri autori. 

VARIE: Visite per invito per seminari, convegni, workshops, visiting professor (1984- ): in Universita’ e Istituti in Austria, Brasile, Bulgaria, (ex)-Chechoslovakia, Francia, Giappone, Germania, Grecia, Italia, Irlanda, Serbia, Spagna,  Polonia, UK, USA, (Ex)-Yugoslavia. Referee di riviste matematiche internazionali, for Math. Reviews, membro di Ph.D. committati in Universita’ of Firenze (1994), Cagliari (2002-), Genova (2002) Italy; Univ. de Paris 6, France (2002, 2005, 2007,2008, 2009-2014), Univ; de Guadeloupe e d’Orleans, France (2005). Coordinatore scientifico di: progetti locali Cagliari (2003-), ), resp. scientifico di Cagliari di progetto internazionale in Matematica, coordinato dall’Univ. of Novi Sad (Serbia), finanziato dal UNESCO Basic Science programme, 2006,2007,  coordinatore nazionale progetti GNAMPA, INDAM (2004, 2007, 2010),  coordinatore unità locale Progetto PRIN (2006-2008),  coordinatore scientifico progetti con Univ. Federale di Parana, Curitiba, Brasile (2010-2012, 2013-204) , coordinatore progetti ERASMUS con Universita’ in Bulgaria, Francia, Germania, Svezia, Regno Unito, Belgio (2005-), (co-)ortganizzatore a convegni, scuole, workshops internazionali (Cagliari, 2000, 2001, 2002, 2008, 2010, 2012, 2014), Torino (2003), Sofia (2002, 2007, 2010, 2011, 2014)

 

 

contatti | accessibilità Università degli Studi di Cagliari
C.F.: 80019600925 - P.I.: 00443370929
note legali | privacy