Centre de recherches mathématiques, Annual Report 1995-1996

Part 9

Financial Report

The fiscal year of the CRM starts on June 1 and ends on May 31. The Financial Statement presents, on a cash-flow basis, the major expenses and income of the CRM during 1995-1996, as well as its financial position at the beginning and at the end of the period. The overall results have been broken down into three columns representing the following sources of financing: the Natural Sciences and Engineering Research Council of Canada (NSERC), the Fonds pour la formation de chercheurs et l'aide à la recherche du Québec (FCAR), and Other sources.

During 1995-1996 the CRM has received income (presented at the bottom of the Statement) from the following sources. NSERC: $750,000 in the form of an operating grant to pursue its national mandate, and $75,000 to jointly develop the National Computer Network for Mathematical Research (NCNMR) with the Fields Institute of Toronto and the Pacific Institute for the Mathematical Sciences (PIms) (see Note 1 to the Financial Statement); FCAR: $170,500 in an operating grant from its Research Centre program; Other sources: a substantial grant of $771,300 has been received from the Comité d'étude et d'administration de la recherche (CEDAR) of the Vice-rectorat à la recherche of the Université de Montréal (in addition to office space, heating, electricity, etc.); other important sources of income include the Canadian Institute for Advanced Research (CIAR), the McConnell Foundation, and Dr. André Aisenstadt who is the CRM's major benefactor; finally, the CRM earns revenues from books in the CRM series published by the American Mathematical Society (AMS) and in its own in-house publication program, as well as from registration fees charged for attending scientific activities.

The expenses of the CRM are presented under three major categories: Scientific Personnel, Scientific Programs, and Administration. Major items under Scientific Personnel include the remuneration of Université de Montréal professors who do research while in residence at the CRM, of postdoctoral researchers, expenses associated with the detachment of professors so that they can work at the CRM, and expenses associated with three prizes for excellence in the mathematical sciences: the CRM-Fields Institute Prize, the André-Aisenstadt Prize and the Canadian Association of Physicists (CAP)-CRM Prize. The Scientific Programs include expenses related to the 1995-1996 theme year in Numerical and Applied Analysis, as well as some expenses from the previous theme year (Geometry and Topology) and the next theme year (Combinatorics and Group Theory); the Banff Summer School of 1995 related to the theme year in Numerical and Applied Analysis, as well as the advance payment on the 1996 Summer School; the General Scientific Program, mainly constituted of contributions of the CRM to off-site scientific activities; the Colloquia and Seminar Series organized jointly with the Montréal-based Institut des Sciences Mathématiques (ISM); and a Discretionary Fund used to finance unanticipated events the CRM deemed worthy of support during the year. Finally, the Administration portion of the Statement include: the remuneration of the staff (Director's Office, Administration and Services to Researchers, Scientific Activities, Publications and Computer Systems); the expenses related to the meetings of the Advisory Committee and CRM-Fields Institute Coordinating Committee; miscellaneous operating expenses; and computer equipment and maintenance expenses.

The national mandate of the CRM is reflected in the NSERC column of the Statement labelled as Canadian. Under this heading are singled out those NSERC-funded expenditures of the CRM which occurred in Canada, but outside of Québec. Such expenses include the Summer School in Banff, numerous off-site scientific events sponsored by the CRM (often in collaboration with the Fields Institute), and the expenses related to non-Québec Canadians visiting the CRM in order to participate in its scientific programs. The ratio of such Canadian expenses to the overall NSERC-funded expenses is: 37% for the Scientific Programs only, and 28% for the total expenses funded by NSERC (i.e. including the portion of the Prizes and Administration expenses related exclusively to the Canadian operations of the CRM). This ratio of 28% is well above the threshold of 25% suggested by the CRM-Fields Institute Coordinating Committee in its latest report.

Concerning our results and financial position, the CRM has recorded a minor overall deficit of $3,588 during the period, which has reduced its financial cushion from $111,323 at the beginning of the period to $107,736 at the end (a cushion representing less than 6% of its total expenses for the year). The detailed results show that major accounts have been brought closer to equilibrium during the year. A surplus of $75,872 for the period has brought the CRM's NSERC-account accumulated deficit from $79,176 to $3,304. A surplus of $25,054 for the period has brought the CRM's FCAR-account accumulated position from a $14,171 deficit to a $10,883 surplus. Finally, a deficit of $104,514 for the period has brought the CRM's other-account accumulated surplus down from $204,670 to $100,156.

Financial Statement

  1. The CRM obtained $825,000 from NSERC: $750,000 in an operating grant, and $75,000 in a grant for the National Computer Network for Mathematical Research. However, $50,000 have been deducted from the latter amount because each of the Fields and PIms institutes were owed $25,000 for their share in the development of the Network.

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