The SMI            Summer Courses organised in last years

1. The Scuola Matematica Interuniversitaria (SMI)

The Scuola Matematica Interuniversitaria (SMI) started its activities thirty years ago. The aim of the School is to provide young researchers with a basic training in Mathematics and its applications in various sectors, including Physics, Computer Science, Economics and Finance, Engineering. In pursuit of this aim, the School organises post-graduate courses addressed to young graduate students, both from Italy and from abroad, and prepares them for attendance to Ph.D. courses, Dottorati di ricerca in Italy, post-graduate Schools and research activities in general.

Almost one hundred professors from Italian and foreign universities, selected among those who have most actively taken part in the School activities, are currently members of SMI. The School activities are planned by the Board of Directors. At present the Board of Directors is formed by the following elected members: L. De Michele (University of Milano-Bicocca, Chief Director),  A. Figà -Talamanca (University of Rome I), G. Gentili (University of Florence), G. Monegato (Polytechnic School of Turin), G. Ottaviani (University of Florence).

For thirty years SMI has yearly organised basic, post-graduate Summer Courses in Mathematics at the Department of Mathematics of the University of Perugia, and Advanced Courses in Cortona, at the Palazzone of the Scuola Normale Superiore.

The Summer Courses in Perugia, addressed to young graduate or senior students interested in research, are held from the last week of July to the end of August, over a period of five weeks. In Perugia, SMI yearly offers a choice of basic courses consisting of twenty-five hours of lessons and fifteen hours problem-solving sessions. Regular attendance to two of the courses is compulsory; students are required to take part in the discussion of problems and undertake written examinations. At the end of the courses they are given a final evaluation.

The courses in Cortona are addressed to students who have already been introduced to research. As a rule, every summer SMI offers a choice of four courses, each of them lasts two or three weeks and consists of two sessions of six hours of lessons per week each, problem-solving sessions and seminars; classes in each of the two sessions are held by two different lecturers.

Both in Perugia and in Cortona the teaching staff is composed by internationally well-known experts; most of them are foreign university professors, with whom the students often establish lasting, deep and fruitful scientific relations.

Italian participants are chosen among the best graduate students of Italian universities. A good number of high-qualified foreign students is admitted to courses, both in Perugia and in Cortona.

All the costs of the School activities, including organisation and operating expenses, lecturers' remuneration, costs of logistic, administrative expenses and so on are completely covered by the School. In the last years, the annual cost of the courses organised by SMI has amounted to about 300.000 euro; SMI's Balance Sheet is published yearly in the Notiziario dell'Unione Matematica Italiana.

All the activity of the Scuola Matematica Interuniversitaria has been made possible up to now by the financial support of the Italian Ministry of University and Research (MUR), the Consiglio Nazionale delle Ricerche (CNR), Istituto Nazionale di Alta Matematica (INdAM) and the Consorzio per l'Alta Fomazione Matematica (CIAFM), the European Mathematical Society (EMS), the Fondazione  della Cassa di risparmio delle Province Lombarde (CARIPLO). 

PERUGIA (five weeks)

Algebra  - L. Kovacs (Univ. of Canberra)

Complex Analysis - N. Kerzman (Chapel Hill)

Functional Analysis - C. Citrini (Politecnico Milano)

Numerical Analysis - J.-P. Berrut (Univ. of Fribourg)

Differential Equations in Mathematical Physics - B. Kellogg (Univ. of Maryland)

Algebraic Geometry - W. Barth (Univ. of Erlangen)

Differential Geometry - G. Thorbergsson (Univ. of Koeln)

Introduction to Programming and Computer Science - A. Segre (Univ. of Iowa)

Probability - P. Protter (Univ. of Purdue)

Games Theory  - S. Zamir (Univ. of Hebrew)

Algebraic Topology - K. Gruenberg (Univ. of London)

CORTONA, I term (two weeks)

Nonlinear Analysis
A. Ambrosetti - (Scuola Normale Superiore di Pisa)
I.Ekeland - (Univ. Paris IX-CEREMADE)

CORTONA , II term (three weeks)

Numerical Analysis
D. Funaro-  (Univ. of Modena)
P.J.Van der Houwen - (CWI Amsterdam)

CORTONA, III term (three weeks)

Algebraic Geometry
A. Vistoli - (Univ. of Bologna)
C.H. Walter - (Univ. of Nice)

Number of participants:

Perugia : 99 Italian students + 34 Foreign students = 133

Cortona : 56 Italian students + 22 Foreign students = 78

Total: 211

PERUGIA (five weeks)

Algebra - M. Gutierrez (Univ. of Tufts)

Complex Analysis - T. Gamelin (UCLA)

Functional Analysis - L. De Michele (Univ. of Milano)

Numerical Analysis - C. Lubich (Univ. of Tubingen)

Differential Equations in Mathematical Physics -  K. Oddson (U.C.Riverside)

Algebraic Geometry - E. Arrondo (Univ. of Madrid)

Differential Geometry  - E. Musso (Univ. of L'Aquila)

Introduction to Programming and Computer Science - J.R.Hindley (Univ. Wales,UK)

Probability -  H.Teicher (Rutgers Institut)

Mathematical Statistics  - E. Regazzini (Univ. of L.Bocconi)

Algebraic Topology  - K. Johnson (Univ. of Dalhouise)

CORTONA, I term (three weeks)

Combinatorial Geometry
G.C.-Rota (MIT)
A.Beutelspacher - (Univ. of Giessen)

Differential Geometry
S.Salamon - (Univ. of Oxford)
P.de Bartolomeis - (Univ. of Firenze)

CORTONA, II term (three weeks)

Algebra
L.Di Martino - (Univ. of Milano)
A.E.Zalesski - (Univ. of East Anglia)

Partial Differential Equations
B.Kawohl - (Univ. of Koeln)
S. Salsa - (Politecnico Milano)

CORTONA, III term (two weeks)

Operations Research
D. Bertsekas - (Univ. of Milano)
P. Hansen - (Univ. of Montreal)

Number of participants:

Perugia : 91 Italian students + 30 Foreign students = 121

Cortona : 45 Italian students + 16 Foreign students = 61

Total: 182

1999

PERUGIA : (five weeks)

Algebra L. Kovacs - (Australian Nat. Univ.)

Complex Analysis - E.L. Stout (Univ. Washington)

Functional Analysis - H. Bercovici (Indiana Univ.)

Numerical Analysis - I.G. Graham (Univ. Bath)

Differential Equations in Mathematical Physics  - B. Kellogg (Univ. Maryland)

Algebraic Geometry  F.-O.Schreyer - (Univ. Bayreuth)

Differential Geometry  G. Thorbergsson - (Univ. Koeln)

Introduction to Programming Computer Science -   A.M. Segre (Univ.Iowa)

Probability  G. Letta - (Univ. Pisa)

Mathematical Statistics  D. Nel - (Clover Co. South Africa)

CORTONA, I term (three weeks)

Complex Analysis
L.Lempert - (Univ. Purdue)
K.-T.Kim - (Univ. Postech Korea)

Numerical Analysis
M. Arioli - (Univ.Pavia )
E.Tyrtyshnikov - (Russian Ac. Sc.)

CORTONA, II term (three weeks)

Hyperbolic Equations
C. Dafermos - Brown Univ.)
P. Marcati - (Univ. L’Aquila)

Probability
Y. Rinott - (Univ. California)
P. Baldi - (Univ.Roma Tor Vergata)

Number of participants:

Perugia: 83 Italian students + 30 Foreign students = 113

Cortona: 28 Italian students + 15 Foreign students = 43

Total: 156

PERUGIA (five weeks)

Complex Analysis -  J. Verdera (Univ. Autonoma de Madrid)

Functional Analysis -  M. Picardello (Univ. di Roma, "Tor Vergata")

Numerical Analysis - C. Lubich (Univ. Tuebingen)

Differential Equations in Math. Physics - A. Elcrat (Wichita State University)

Algebraic Geometry  - W. Barth (Univ. Erlangen)

Differential Geometry  - F. Mercuri (Univ. Campinas, Brazil)

Introduction to Programming and Computer Science - J. Simon (Univ. of Chicago)

Probability  - R. Vitale (Univ. of Connecticut)

Mathematical Statistics - Y. Rinott (Univ. of California)

Algebraic Topology - G. Lupton (Cleveland State University)

CORTONA, I term (three weeks)
Algebra
L. Kovacs - (Austr. Nat. Univ.)
C. Casolo - (Univ. di Firenze)

CORTONA, II term (three weeks)
Algebraic Geometry
A. Corti - (D.P.M.M.S., Cambridge, U.K.)
J. Wisniewski - (Warsaw Univ.)

CORTONA, III term (two weeks)
Operations Research
R.K. Ahuja-  (Univ. of Florida)
F. Facchinei - (Univ. di Roma, "La Sapienza")

Games Theory
S. Zamir - (Crest, Paris)
J.Y. Jaffray - (Jussieu, Paris)

Number of participants:

Perugia: 58 Italian students + 37 Foreign students = 95

Cortona: 62 Italian students + 21 Foreign students = 83

Total: 178

2001

PERUGIA (five weeks)

Algebra - W. Lawvere (Suny at Buffalo)

Complex Analysis - M. Peloso (Politecnico di Torino)

Functional Analysis - M. Picardello (Univ. Roma, "Tor Vergata")

Numerical Analysis - I. Graham (Univ. of Bath)

Algebraic Geometry - E. Arrondo (Univ. Complutense, Madrid)

Differential Geometry - E. Heintze (Univ. Augsburg)

Principles in Mathematics - F. Gozzi (Univ. Roma, "La Sapienza"),
M. Castellani (Univ. de L’Aquila)

Probability - D. Gilat (Univ. Tel Aviv)

Operations Research - R. Becker (Univ. Cape Town, South Africa)

Mathematical Statistics - L. Goldstein (Univ. Southern California)

CORTONA:

CORTONA, I term (three weeks)
Semigroups of Operators
R. Nagel- (Univ. Tuebingen)
J. Goldstein -(Univ. Memphis)

CORTONA, II term (two weeks)
Calculus of Variations
G. Buttazzo - (Univ. Pisa)
B. Dacorogna - (EPFL, Lausanne)

CORTONA, III term  (two weeks)
Differential Geometry
F. Podestà - (Univ. Firenze)
C. Lebrun-  (SUNY at Stony Brook)

Number of participants:

Perugia: 71 Italian students + 35 Foreign students = 106

Cortona: 40 Italian students + 18 Foreign students = 58

Total: 164

PERUGIA (five weeks)

Algebra - L. Kovacs (Australian National Univ.)

Complex Analysis - R. Perez-Marco (UCLA, Los Angeles),
A. Nicolau (Univ. Autonoma Barcellona)

Functional Analysis - H. Bercovici (Indiana Univ.)

Numerical Analysis - L. Brugnano (Univ. Firenze)

Differential Equations in Mathematical Physics - A. Elcrat (Wichita State Univ.)

Mathematical Finance, U. Schmock (ETH, Zurigo)

Algebraic Geometry - M. Manetti (Univ. Roma, La Sapienza)

Differental Geometry - C. Olmos (Univ. Cordoba, Argentina)

Probabilità - L. Goldstein (Univ. Southern California)

Mathematical Statistics - Y. Rinott (Hebrew Univ., Jerusalem)

CORTONA, I term (two weeks)
Algebra
A. Lucchini - (Univ. Brescia)
R. Solomon - (Ohio State University)

CORTONA, II term (three weeks)
Wavelets
G. Weiss - (Washington Univ., St. Louis)
A. Aldroubi - (Vanderbilt Univ., USA)

Probability
P. Baldi - (Univ. Roma, Tor Vergata)
P. Bremaud - (EPFL, Lausanne)

CORTONA: III term (three weeks)
Non Linear Hyperbolic Equations
V. Georgiev (Univ. Pisa)
P. D’ Ancona (Univ. Roma, La Sapienza)

(August 18-31) (2 weeks)
Operations Research
M. Labbè - (Univ. de Bruxelles)
H. Wolkowicz - (Univ. Waterloo, Canada)

Number of participants:

Perugia: 70 Italian students + 32 Foreign students = 102

Cortona: 69 Italian students + 14 Foreign students = 83

Total: 185

PERUGIA

Algebra,  L. Ribes (Univ. Carleton-Canada)

Analisi Complessa, G. Tomassini (Scuola Normale Superiore-Pisa)
 
Analisi Funzionale,  W. Arendt (Univ. Ulm)

Analisi Numerica,  C. Lubich (Univ. Tuebingen)

Equazioni differenziali della fisica matematica,  G. Sweers (Univ. Delft)

Geometria Algebrica,  L. Badescu (Univ. Genova)

Geometria Differenziale, E. Heintze (Univ. Augsburg)

Informatica,  A. Panconesi (Univ. RM La Sapienza)

Probabilità, O. Kella (The Hebrew Univ.)

Statistica Matematica,  D. Gilat (Univ. Tel Aviv)

Topologia Algebrica,  F. Mercuri (Univ. Campinas)

CORTONA:

CORTONA I term (2 weeks)
Geometria Algebrica
J. Landsberg - (Georgia Inst.Tech.)
L. Manivel - (Univ. J. Fourier, Grenoble)

CORTONA II term (3 weeks)
Holomorphic Dynamics
T. Gamelin - (Univ. of California, Los Angeles)
S. Marmi - (Univ. Udine and Scuola Normale Superiore, Pisa)

CORTONA III term (3 weeks)
Algebra Commutativa e non commutativa
R. Wiegand - (Univ. of Nebraska)
A. Facchini - (Univ. Padova e Centre de Recerca Matemàtica, Barcelona)

Analisi Numerica
O. Widlund - (CIMS, NYU)
L. Pavarino - (Univ. Milano)

Number of participants:

Perugia: 72 Italian Students + 35 Foreign Students

Cortona: 35 Italian Students + 21 Foreign Students

Total: 163

2004

PERUGIA:

Algebra
G. Fernandez-Alcober -(Euskal Herriko Univ.)

Complex Analysis
T. Suwa - (Hokkaido University) 

Cryptography
L. Washington - (Univ. of Maryland)

Functional Analysis
G. Beer -(California St. University- Los Angeles)

Numerical Analysis
S. Sauter - (Univ. Zürich)

Differential equations in Mathematical Phisics
B. Ruf - (Univ. degli Studi di Milano)

Algebraic Geometry
C. Peterson - (Colorado St. University)

Differential Geometry
P. Eberlein - (Univ. of North Carolina)

Probability
A. Gandolfi - (Univ. degli Studi di Firenze)

Mathematical Statistics
P. Rigo - (Univ. di Pavia)

CORTONA:

CORTONA I: July 4-24 (3 weeks)
Evolution Equations and Applications
R. Nagel - (Mathematisches Institut, Tuebingen)
A. Lunardi - (Univ. degli Studi di Parma)

CORTONA II: August 1 - August 14 (2 weeks)
Variational Calculus
A. Cellina - (Univ. Bicocca of Milan)
G. Bouchitte' -(Univ. Toulon)

July 24-August 14 (3 weeks)
Statistics
J. A. Wellner - (Univ. of Washington)
E. Regazzini -(Univ. degli Studi di Pavia)

CORTONA III: August 15-28 (2 weeks)
Differential Geometry
K. Galicki - (Univ. of New Mexico)
D. Alekseevsky -(Univ. of Hull)

Number of participants:

Perugia: 74 Italian Students + 35 Foreign Students = 109

Cortona: 41 Italian Students + 36 Foreign Students = 77

Total: 186

PERUGIA (July 31 – September 3):

Algebra
J. Alev, (Univ. Reims)

Complex Analysis
M. Kalka, (Tulane Univ. New Orleans)

Functional Analysis
A Visintin, (Univ. Trento)

Numerical Analysis
Frank Stenger, (Univ. Utah)

Differential Equations in Mathematical Physics
M.Chipot, (Univ. Zürich)

Algebraic Geometry
P. Ellia, (Univ. Ferrara)

Differential Geometry
D. Alekseevsky, (Univ. Hull)

Probability
W.Woess, (Univ. Graz)

Mathematical Statistics
R.P. Gupta, (Dalhousie Univ.)

Decision Theory
J.Y.Jaffray,(Univ. Paris VI)

CORTONA:

July 3 – July 16, 2005
Pcp Theorem Algorithms and Approximation Algorithms for Nphard Problems
Madhu Sudan - (MIT Cambridge)
A. Panconesi - (Univ. Roma La Sapienza)

July 17 – July 29, 2005
Pcp Thoerem nad BPP: Ramdomisation and Polynomial-Time Computability
Madhu Sudan-  (MIT Cambridge)
L. Trevisan - (Univ. California, Berkeley)

July 24 – August 13, 2005
Partial Differential Equations
C. Gutierrez - (Temple Univ.)
M. Bardi - (Univ. Padova)

August 15-27, 2005
Algebraic Geometry
A. Corti - (Univ. Cambridge)
C. Peterson - (Colorado State Univ.)

Number of participants:

Perugia : 79 Italian Students + 31 Foreign Students = 110

Cortona : 33 Italian Students + 12 Foreign Students = 45

PERUGIA (July 30 – September 2):

Algebra
A. Facchini, (Univ. Padova)

Complex Analysis
E. L. Stout, (Univ. of Washington Seattle)

Functional Analysis
E. Sawyer, (McMaster Univ. Hamilton)

Numerical Analysis
C. Lubich, (Univ. Tuebingen)

Differential Equations in Mathematical Physics
G. Sweers, (Univ. Koln and Delf Univ. of Technology)

Algebraic Geometry
M. Andreatta, (Univ. Trento)

Differential Geometry
G. Thorbergsson, (Univ. Koln)

Probability
G. Pistone, (Politecnico Torino)

Model Theory
Z. Robinson, (East Caroline Univ.)


CORTONA:

July 2 – July 14, 2006
Syzygies, Hilbert functions and generica initial ideals
A. Conca - (Università Genova)
J.C. Migliore - (Univ. Notre-Dame)

July 2 – July 23, 2006
A Geometrical Approach to free Boundary Problems
L. Caffarelli - (Univ. Texas, Austin)
S. Salsa - (Politecnico Milano)

July 23 – August 12, 2006
Mathematical Finance
W. Runggaldier - (Univ. Padova)
U. Schmock - (T.U. Wien)

July 30 - August 19, 2006
Morse Theory and application to Differential Geometry
and to onedimensional variational Problems
F. Mercuri - (Univ. Campinas)
P. Piccioni - (Univ. of Sao Paulo)

Number of participants:

Perugia: 47 Italian Students + 33 Foreign Students = 80

Cortona : 44 Italian Students + 38 Foreign Students = 82