Clavius Activities at Holy Cross Summer of 2023

Clavius group at Holy Cross in 2023

List of Clavius mathematicians

Jennifer Ackerman
Michael Ackerman
Tom Banchoff
Adam Bartoszek
Joseph Billotti SJ
Jacob Binoy SJ
Tom Cecil
Lawrence Conlon
Pedro Ferreira SJ
Margaret Freije
Richard Freije
Kathy Hall
James Heitsch
Michele Intermont
Ron Knill

Maura Mast
Michael May SJ
Sr Barbara Reynolds SDS
Patrick Ryan
Paul Schweitzer SJ
Dennis Snow
Joanne Snow
James Stasheff
Pedro Suarez SJ
Andrius Tamulis
Nelson Velandia SJ
Julio Vidaurrazaga
Pawel Walczak

Invited Colleague 2023

Martin Magid, Wellesley College

Clavius Community Notes

2023 Holy Cross, Worcester, Massachusetts
Meeting #61: 18 June to 1 July

At the invitation of the College of the Holy Cross and its Department of Mathematics and Computer Science, the Clavius group gathered at Holy Cross for its sixty-first session. We were provided with a lecture room in Swords Hall for our seminars and talks. Also, access to photocopying, printing services, and the internet was available. The group’s housing arrangements and other needs were generously attended to by Chip O’Connor, Director of Conference Services at Holy Cross. Members were housed in the Figge apartment complex, an excellent arrangement that made it possible for us to continue our vibrant community life. As is customary, each day was concluded by Mass and a community meal. The participants this summer consisted of four Jesuits, one Salvatorian sister, seven married couples, and four single lay persons. This includes two members who were unable to be present physically but participated virtually via Zoom. All in all, seventeen Clavius mathematicians took part along with several faculty members from Holy Cross and one other nearby college.

Community Activities 2023

June 19, Organizational business meeting at which details about meals and lecture times were decided upon.
June 21, Faith discussion: The challenges to religious minorities in India, led by Binoy Jacob.
June 26, Business meeting at which the future of Clavius was discussed. It was decided that 2023 would be the last in-person meeting. Subsequent meetings would be virtual, perhaps with some smaller groups being together physically.
June 27, Dinner at O’Connor’s restaurant. Celebration of 60 years of Clavius.

Seminars 2023

Differential Geometry Seminar

June 20, 21, Thomas Cecil, On the work of Cartan and Munzner on isoparametric hypersurfaces I-II
June 22, Martin Magid (Wellesley College), Split-complex submanifolds of C’^m and their underlying real submanifolds
June 26, 27, Patrick Ryan, Ruled hypersurfaces in the complex hyperbolic plane, I-II
June 28, Thomas Banchoff, The discrete Theorema Egregium

Topology and Foliations Seminar

June 27, Lawrence Conlon, The regularity of Gabai’s taut foliations

Physics Seminar

June 29, Nelson Velandia, Motion of charged and spinning particles

Topics Seminar

June 20, Neranga Fernando (College of the Holy Cross), Reversed Dickson polynomials of the (k+1)-th kind over finite fields
June 20, Paul Schweitzer, Impossible figures and aperiodic tilings
June 21, John Little (College of the Holy Cross), Clavius’s “Geometria Practica”
June 22, Neranga Fernando (College of the Holy Cross), Quandles, racks and shelves
June 22, John Little (College of the Holy Cross), Euler vindicatus — Zeta functions, the geometric side
June 23, John Anderson (College of the Holy Cross), Inner functions in one and several complex variables
June 23, Paul Schweitzer, Macro, Micro, and Medium: the significance of size in the universe
June 23, Binoy Jacob, Humans and Humanoids: The non-mathematizables in intelligence
June 26, David Damiano (College of the Holy Cross), UMAP: Uniform manifold approximation
June 27, Jennifer Ackerman, Equity and assessment: A sabbatical journey
June 28, Maura Mast, Teaching mathematics and democracy
June 28, Ellen Ryan, Writing an ethical will and legacy letters
June 29, Barbara Reynolds, Post-pandemic discussion: Are our students under-prepared or differently prepared? Implications for our response
June 29, Richard Freije, Copyright problems created by generative AI systems