The Clavius Mathematical Research Group

"Let an academy be formed for the advancement of mathematics"

(Christopher Clavius, S.J. in 1596)


Clavius group at Fairfield University in 1998


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Clavius group at Fairfield University in 1991 next to the renowned Clavius Townhouse


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Clavius gatherings from 1987 to 1996


On this page is found

A list of Clavius mathematicians
A short history of the Clavius Group
The host colleges and institutes
The hosts according to year






Back to: The Clavius Group


Pertinent information about members of the Clavius Group

Clavius Activities at Notre Dame University in 1990
Clavius Activities at Fairfield University in 1991
Clavius Activities at the Institut des Hautes Études Scientifique in 1992
Clavius Activities at Boston College in 1993
Clavius Activities at the Institute for Advanced Study IAS in 1994
Clavius Activities at Notre Dame University in 1995
Clavius Activities at Boston College in 1996
Clavius Activities at the Institut des Hautes Études Scientifique in 1997
Clavius Activities at Fairfield University in 1998
Clavius Activities at Holy Cross in 1999
Clavius Activities at Notre Dame in 2000
Clavius Activities at the Institute for Advanced Study IAS in 2001
Clavius Activities at Fairfield University in 2002

A few Clavians in uniform clavshirt

List of Clavius mathematicians



Hugh Albright FSC
Tom Banchoff
John Blanton
Tom Cecil
Lawrence Conlon
Margaret Freije
Richard Freije
James Heitsch
Michelle Intermont
Ron Knill
John MacDonnell SJ
Joseph MacDonnell, S.J.
Michael May SJ
John Pouikis CSB
Sr Barbara Reynolds SDS
Patrick Ryan
Paul Schweitzer SJ
Dennis Snow
Joanne Snow
James Stasheff
William Stoeger SJ
Pedro Suarez SJ
Julio Vidaurrazaga
Carlos Vasco SJ
Pawel Walczak
Andrew Whitman SJ

A short history concerning the Clavius Group

The Clavius Mathematical Research Group is a team of 27 mathematicians who spend five summer weeks together, doing mathematical research while sharing work, prayer, and recreation. For the past 34 years they have been meeting on college campuses such as Georgetown, Loyola, McGill, Notre Dame, Berkeley, Holy Cross, Boston College, Princeton and Fairfield as well as at three research institutes: The Institute for Advanced Studies in Princeton, the C.I.E.A. in Mexico, and the Institut des Hautes Études Scientifiques in Bures-sur-Yvette in France. The point of meeting in a university setting is to interact with the members of the host mathematics department. About half of the members are religious; the lay mathematicians attend with their families so that the number comes to about forty-five during a given session. The overall attendence is variable, however, since other participating colleagues attend. Although most members are from the United States, eight other countries are represented: Italy, France, Brazil, Colombia, Canada, Spain, Dominican Republic and Germany. All the mathematicians in the group teach in some college or university.


Members of the Clavius Group specialize in Algebra, Algebraic Geometry, Algebraic Topology, Complex Analysis, Differential Geometry, Differential Topology, Foliations, Mathematics of Relativity, Mathematical Logic, Non commutative Rings, Number Theory and Topology of Manifolds.

 

Christopher Clavius, S.J.
The Euclid of the Sixteenth Century

 

cclaviu2The Clavius Group was named for the sixteenth century German Jesuit mathematician, Christopher Clavius, a friend of Galileo, who developed today's Gregorian calendar.

The group began in 1963 when two American Jesuit mathematicians decided to spend the summer together at Georgetown University to discuss their professional work. Then other Jesuits and religious joined them in the succeeding summers. By 1970, a charter approved by the U.S. Jesuit provincials established the Jesuits of the Clavius Group as an inter-provincial summer community. In 1972, three families were invited to join the group at their meeting in Mexico City. Arriving for six weeks were three mathematical husbands, three non mathematical wives, and eight children ranging in age from three to thirteen.


Mathematics certainly got done, but many more dimensions were added to the group. Shared homilies quickly became the norm at evening Mass, with children frequently expressing their opinions in the dialogue homilies. The priests had to admit they had not heard the Old and New Testaments interpreted in so many ways. A daily schedule of mathematical seminars followed in the evening by Mass and a social hour soon evolved. Over the next several years other clergy and laity joined, with the basic schedule of work, Mass, and social hour remaining the same. Discussion groups formed on questions of theology, social action, and communion. Baptisms, First Communions, marriage renewals, wedding anniversaries and ordination jubilees have all been celebrated together.


The Clavius Group has taken seriously its obligation to bring the Good News to the professional mathematics world and to the surrounding lay community. Thus Masses have been said at international congresses and annual meetings of the American Mathematical Society as well as at small village churches. In the summer, daily Mass is a sharing experience which is the centerpiece of the work-day or play-day for all of the group. Several times each summer the children, under guidance, have planned readings and their own active parts in the liturgy of the Children's Mass. Travel has become second nature to this group. Summer gatherings have been at institutes, colleges, and universities in towns like Buressur Yvette (France), Montreal, Berkeley, Mexico City, Princeton, Worcester, Notre Dame, Boston, Fairfield, New Orleans. and Washington. The traveling has been valuable professionally and the children have benefited enormously in learning geography, history, and local cultures.


Seminars start up where they left off the year before. In these lectures members of the group or other mathematicians present their research work and collaborate in studying new areas, ranging from new discoveries to classical theories of the last century. Clavius members' research interests vary widely. Tom Banchoff's colorful computer animated films of four-dimensional geometry have been applauded by general audiences around the world. Fr. Whitman and Ron Knill work with Vatican Jesuit astrophysicist Fr. Bill Stoeger, S.J. in striving to pierce the captivating mysteries of the geometry of space-time.


Research by three other members on foliation's - geometric structures like the leaves of a twisted paperback book involves intriguing pictures but can be impenetrable to nonspecialists. Versatile Fr. Carlos Vasco, S.J., is a consultant of the government of Colombia on the school mathematics curriculum of that country. In the Dominican Republic, Fr. Paul Schweitzer, S.J., leads a research group at the Pontifical Catholic University of Rio de Janeiro and serves as a consultant for the Brazilian National Research Council.

Clavius Mass at the
Institute for Advanced Studies

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The original common bond of mathematics has endured, along with the equally important bond of a shared faith community. Members really care about one another. They look forward to being greeted by old friends as the summer begins, and, as it ends, they know that the group will remain in touch throughout the year with newsletters and phone calls. What began with two people in 1963 has developed in a way that could never have been foreseen at that time. Like a family, the group has experienced triumphs and disappointments. They have prayed, argued, and worked together. Each summer the group is back and they pray that those common bonds that bind them will strengthen and grow.


Host college according to location


                                                                                                                                                 Clavius seminar at BC
LOCATION YEAR
Georgetown University '63
Loyola New Orleans '64 '65 '66
Mexcio City '67 '68 '71 '72 '77
Boston College '69 93 96
Northwestern '70 '74
McGill Montreal '73
Inst. Advanced Studies '75 '79 '84 '89 '94 '01
Princeton University '76
Institut des Hautes Etudes '78 '82 '87 '92 '97
Notre Dame University '80 '85 '90 '95 '00
Holy Cross '81 '83 '99
U C L Berkeley '86
Fairfield University '88 '91 '98 '02
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Host college according to year

Clavius Group at the IAS in 1985
clavius reseach
YEAR LOCATION
63 Georgetown University
64 Loyola New Orleans
65 Loyola New Orleans
66 Loyola New Orleans
67 C I E A del I P N Mexico City
68 C I E A del I P N Mexico City
69 Boston College
70 Northwestern University
71 C I E A del I P N Mexico City
72 C I E A del I P N Mexico City
73 McGill University in Canada
74 Northwestern University
75 Institute for Advanced Studies IAS
76 Princeton University
77 C I E A del I P N Mexico City
78 Institut des Hautes Etudes Scientifique
79 Institute for Advanced Studies IAS
80 Notre Dame University
81 Holy Cross
82 Institut des Hautes Etudes Scientifique
83 Holy Cross
84 Institute for Advanced Studies IAS
85 Notre Dame University
86 U C L Berkeley
87 Institut des Hautes Etudes Scientifique
88 Fairfield
89 Institute for Advanced Studies IAS
90 Notre Dame University
91 Fairfield University
92 Institut des Hautes Etudes Scientifique
93 Boston College
94 Institute for Advanced Studies IAS
95 Notre Dame University
96 Boston College
97 Institut des Hautes Etudes Scientifique
98 Fairfield University
99 Holy Cross
00 Notre Dame University
01 Institute for Advanced Studies IAS
02 Institut des Hautes Etudes Scientifique



Clavius Group and colleagues at France's
Institut des Hautes Etudes Scientifique in 1985
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