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REU: Summer 2005

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The Mathematics Department at Tulane University will be hosting a summer program to provide research experience for undergraduates.

We will choose eleven students to work with members of the Mathematics Department. The topics to be studied will be in the area of:

  • Differential Geometry
  • Topology
  • Combinatorics

REU 2005 - Prof. Slawomir Kwasik
Conducting one of the programs in the areas of Geometry and Topology

Program Dates:   June 1 - July 27, 2005

The REU program in Geometry and Topology will host 11 students. Students will be divided into 3 separate groups and each group will be working on a different project:

  • One project will be in the area of topology and
  • The other two in the areas of differential and classical geometry

REU 2005 - Dr. Aaron Jaggard
Conducting a program in the area of Combinatorics

Program Dates: June 1 - July 27, 2005

Prof. Herb Wilf of the University of Pennsylvania will give a week-long series of lectures:

  • Lecture Dates: Monday, June 6th - Friday, June 10th
  • Topic: "Computer Proofs of Combinatorial Identities"
The lectures will focus on computer proofs of combinatorial identities and will provide a starting point for students' work through the rest of the summer. Prof. Wilf is the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania; his honors include the MAA Haimo Award for Teaching (1996) abd the AMS Steele Prize for Research (1998, joint with D. Zeilberger).

REU 2005 - Dr. Alexander Barchechat
Conducting another program in the areas of Geometry and Topology

Program Dates: June 6 - July 22, 2005

Prof. Allen Hatcher of Cornell University will give a series of five lectures (one per day):

  • Lecture Dates: Monday, June 13th - Friday, June 17th
  • Topic: "Finite Group Actions on Surfaces"
Topology and Geometry will be the main focus in the program, though we might use some tools from algebra(symmetric groups) and analysis (complex variables). After showing that all finite groups act on surfaces (where the genus of the surface depends on the order of the group), we will see that there are no formulas which give the order of the largest group acting on a given surface of given genus. We will try to describe, geometrically, the different actions of groups on surfaces of genus 2 and 3.

If you have questions or comments, please email reu@math.tulane.edu

Mathematics Department
Tulane University
6823 St. Charles Ave
New Orleans, LA 70118
phone: (504) 865-5727
fax: (504) 865-5063

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