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Cryptography and Internet Security
A lecture for high school students covering the need for
internet security, the concept of public key cryptography,
a sketch of the RSA algorithm, and implementation issues
including man-in-the-middle attacks and certifiacte authorities.
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Hilbert's Tenth Problem: A
description of the negative solution to Hilbert's Tenth Problem,
concerning the undecidability of Diophantine equations. This
50 minute talk was given to UNL's Department of Mathematics Graduate
Student Seminar in September, 2005.
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Maximal Ideals of Triangular Algebras:
This talk presents an open problem
on the algebra of upper triangular operators:
What are the maximal (two-sided) ideals of this
algebra? The talk discusses connections with
other open problems and contrasts with
the case of continuous nest algebras, for which
the question can be answered.
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Stable Ideals of Nest Algebras:
Describing research work on a simplified description and full
classification of the stable (i.e. automorphism invariant) ideals of a
continuous nest algebra. This talk was given at the GPOTS conference in
June, 2005. The talk describes work for my paper "The Stable Ideals of a
Continuous Nest Algebra, II".
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Interval Analysis
Grading of On-Line Homework: Describing joint work with Stephen Scott
and Travis Fisher on Monte-Carlo algorithms to determine equivalence of
mathematical expressions. The talk was given at the Spring 2005
sectional meeting of the MAA. See the paper "Randomized
Interval Analysis Checks for the Equivalence of Mathematical
Expressions".
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Online Assessment Management Systems: An overview of the advantages and disadvantages of online assessment
management systems, with detail on EDU, MapleTA, and the UNL experience.
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An
Introduction to EDU: A presentation I gave at the start
of the week-long faculty EDU workshop in May 2005 supported by
our ASA grant. This talk gives an overview of EDU's capabilities and
its history and use at UNL. I also gave a second talk at the end of the
workshop.
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