UIUC Department of Mathematics
Weekly Bulletin

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Current News

DEADLINES

Please see Joann Hower in 273 AH for further information and application forms.

Research Board		Scholar's Travel Fund
October 21, 1996		November 4, 1996
November 18, 1996		December 2, 1996
December 9, 1996		January 6, 1997
January 27, 1997		February 3, 1997
February 24, 1997		March 3, 1997
March 17, 1997		April 7, 1997
April 7, 1997		June 2, 1997

NAMED LECTURESHIP

Professor John Lewis of the University of Kentucky will give the Trjitzinsky Lectures on April 1, 2 and 3, 1997.

IMPORTANT DATES

10/23	Probable date mid-semester grades for freshmen are due in 273 AH (Pat)
10/25	Last day for undergraduate students to drop a semester course or to arrange for the credit/no credit option
11/02	Registration for the Spring semester begins
11/22	Last day for graduate students to drop a semester course
11/28-12/1	Thanksgiving Holiday - All University offices are closed
12/13	Last day of instruction
12/14	Reading Day
12/16-21	Final Exams

Coming Events

Monday, November 4, 1996

COMPUTATIONAL SCIENCE AND ENGINEERING SEMINAR.

Prof. Russel E. Caflisch, Department of Mathematics, University of California at Los Angeles; Theory and Applications of Quasi-Monte Carol Methods.

Abstract.

Quasi-random sequences are a deterministic alternative to random or pseudo-random sequences. Correlations between the elements of a quasi-random siquence make them more uniform than random numbers, which leads to Monte Carlo. This talk will first describe the basic theory of quasi-random sequences, including the bounds on integration error and methods for generating these sequences. Second, we present results from a set of numerical experiments showing the advantages and limitations of quasi-Monte Carlo in integration and simulation problems. Finally, an application to financial analysis, the evaluation of mortgage-backed securities, will be presented. For this problem, quasi-Monte Carlo computations result in substantial speed-up over standard Monte Carlo.

Biography.

Russel Caflisch's interests are in fluid dynamics, transport and kinetic theory, partial differential equations, and Monte Carlo methods. He is currently a professor at University of California, Los Angeles, formerly was at the New York University Courant Institute of Mathematical Sciences and at Stanford University, and he has held a Sloan Fellowship.

Weekly Calendar

Monday, October 21, 1996

3:00 PM - 343 Altgeld Hall

BUNDLES, CONNECTIONS, AND DIFFERENTIAL EQUATIONS SEMINAR.

Prof. Steven Bradlow; Kahplectobraic Geometry of Bundles with Sections.

4:00 PM - 314 Altgeld Hall

Math 400. Introduction to Graduate Mathematics.

Prof. Richard W. Hamming, Naval Postgraduate School, Monterey, California; Teaching from a Systems Engineering Point of View. This special invited talk will attempt to provide some insights, drawn from a long and varied career, into the process necessary to analyze complex problems like the organization of mathematics education.

Tuesday, October 22, 1996

11:00 AM - 245 Altgeld Hall

GEOMETRIC POTPOURRI SEMINAR.

Prof. John Sullivan, visiting UIUC from the University of Minnesota; A Generalization of Post's Theorem.

Abstract.

11:00 AM - 247 Altgeld Hall

MAX NEWMAN TOPOLOGY SEMINAR.

Mr. Tony Bedenikovic, Maps of 2-spheres into 2-complexes, continued.

11:00 AM - 2 Illini Hall

PROBABILITY & STATISTICS SEMINAR.

Prof. Martin Young, University of Michigan Business School; Markov Chain Monte Carlo Methods for Portfolio Selection.

Abstract.

1:00 PM - 247 Altgeld Hall

ANALYTIC NUMBER THEORY SEMINAR.

Profs. Kenneth B. Stolarsky and Douglas Bowman; From Continued Fractions to Diophantine Approximation. What is and what Spring will bring.

1:00 PM - 241 Altgeld Hall

QUANTUM GROUPS SEMINAR.

Prof. Maarten Bergvelt; Classical R-Matrices and Integrable Systems, continued.

2:00 PM - 241 Altgeld Hall

DIFFERENTIAL GEOMETRY.

Prof. Abstract.

3:00 PM - 243 Altgeld Hall

GEOMETRY-TOPOLOGY GROUP MEETING.

We will discuss the schedule of Fall 1997.