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## 2005-2006 Academic Year Colloquium Schedule

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### August 25, 2005

 Title: Fixed Points & Maps from Here to Here. Speaker: Robert MesserAssociate ProfessorDepartment of Mathematics and Computer ScienceAlbion College Abstract: If you stir a cup of coffee carefully with a circular motion, the point at the center remains fixed under this motion.What happens if you stir in a more complicated pattern?Will there always be a point that returns to its original location? We will prove a two-dimensional version of atheorem that guarantees a fixed point for a continuous deformation of the surface of the coffee. The proof uses a clever counting argument known as Sperner's Lemma. The simplest version of this lemma says if your cat is inside when you go to bed and outside when you wake up in the morning, it must have gone through its little cat door an odd number of times. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 1, 2005

 Title: Combinatorial Combat: The Mathematics of Games Speaker: Mort BrownProfessor EmeritusDepartment of MathematicsUniversity of MichiganAnn Arbor, MI Abstract: We will study the strategy of several games where mathematics can play a role. Some are "solvable" games, some are "unsolved", and in some it is known who wins but nobody knows how it is done. The rules of the games are all simple, but the games may not be. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 8, 2005

 Title: Career Planning in Mathematics and Computer Science Speaker: David ReimannAssociate Professor and ChairDepartment of Mathematics and Computer ScienceAlbion College Abstract: There has long been a demand in both industry and government for peoplewith training in mathematics, statistics, and computer science.Even in a weak economy, the job market remains strong for mathematics and computer science majors.A recent government report indicated "computer occupationsaccount for 5 out of the 20 fastest growing occupations in theeconomy".A degree in mathematics or computer science isexcellent preparation for graduate school in areassuch as mathematics, statistics, computer science, engineering,finance, and law.Come learn about some exciting career and graduate school options you will have after graduation. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 15, 2005

 Title: Seeing lines with Differential Equations Speaker: Melinda KoellingAssistant ProfessorDepartment of MathematicsWestern Michigan UniversityKalamazoo, MI Abstract: The approximately 100 billion neurons in your brain communicate byelectrical signals. In this talk, we will look at how about half abillion of them might work together to make it possible for you to seelines. I will discuss known physical properties of these neurons and howto model them. The model will involve some equations involving the rateof change of the voltage across the cell membrane of the neurons --differential equations. I will then talk about how to solve theseequations. This talk is intended for people who may not be familiar withdifferential equations, neuroscience, and mathematical modeling, butwho want to know more. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 22, 2005

 Title: Industrial Mathematics at MSU Speaker: Charles MacCluerProfessorDepartment of MathematicsMichigan State University Abstract: In this talk we will discuss various aspects of the MSU Industrial Mathematics Program, including various real-world industrial products completed by former graduates, such as modeling the future emergency services needs of the Sparrow Hospital System. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### September 29, 2005

 Title: Steady streaming in bubble microfluidics, and other assorted things I learned at Albion Speaker: David HansenDoctoral CandidateDepartment of Engineering Sciences and Applied MathematicsNorthwestern University Abstract: Oscillating microbubbles exhibit several interesting behaviors, including light emission, penetration of cell walls, and efficient transport of microscopic objects. To accurately model such bubbles, we employ a combination of mathematical techniques to solve the vorticity equation. The result is an easy-to-use toolbox for simulating complex flows relevant to lab-on-a-chip and bioengineeringapplications. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### October 6, 2005

 Title: An Introduction to Genetic Algorithms Speaker: Rama ChidambaramAssistant ProfessorDepartment of Mathematics and StatisticsUniversity of Michigan - Dearborn Abstract: Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### October 20, 2005

 Title: Mathematical Models of Physical Phenomena in Science, Engineering, and Medicine Speaker: Anna Maria SpagnuoloAssociate ProfessorDepartment of Mathematics SciencesOakland UniversityRochester, MI Abstract: Mathematical models involving ordinary and partial differential equations and corresponding convergent numerical algorithms for computing their solutions can be used to create simulation packages to study physical phenomena. The mathematical approach can offer guidance for running laboratory experiments, creating specific drugs, and developing tools. In this talk, I will focus on models and numerical simulations used to study the following problems: the colonization of Vibrio cholerae in a human host, the detection of recurrent brain tumors, the development of medical devices, tracking nuclear transport in porous media, and more. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### October 27, 2005

 Title: Mathematics, Computer Science, Scientific Modeling, and a Long, Fun-Filled Ninety-Six Hours in the Cold of February Speaker: Mr. Brian DickMr. Benjamin JohnsMr. Brian DickMs. Kate WaltonUndergraduate Students in Mathematics and ScienceAlbion College Abstract: Every February the Consortium for Mathematics and its Applications conducts a world-wide competition in applied mathematics. This competition begins with the posting of two real-world word problems to an official website. Then, over the next four days, teams of two or three students at schools around the world select a problem, develop a solution, and type up a fully cited research paper detailing their solution. These papers are then submitted by the team advisors to a judging committee for review. In 2005, five Albion College students formed two teams and respectively tackled two challenging problems. The first addressed the failure of the Rawls Creek dam in South Carolina and the resulting impact of the flood waters, while the second problem dealt with the problem of determining the optimal number of tollbooths to deploy in a barrier-toll plaza. During this talk, representatives from both teams will discuss the ups and downs of team-based mathematical modeling, including presentation of their solutions and anecdotes relating their experiences during this grueling competition. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### November 3, 2005

 Title: Mathematics and National Security Speaker: Ms. Sandra SpeiserCryptologic MathematicianThe National Security Agency Abstract: The National Security Agency (NSA) makes and breaks codes in order to protect U.S. government information systems and produce foreign signals intelligence. The speaker will present an overview of the Agency and the work performed by NSA mathematicians. An example from public key cryptography will illustrate an application of math in securing communications. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### November 10, 2005

 Title: Multisource network broadcasting: explorations in theory rather than practice, an open problem, and the dark side of research. Speaker: Harold ConnamacherAssistant ProfessorDepartment of Mathematics and Computer ScienceAlbion College Abstract: Imagine that you are the head of development for a media company that is going to broadcast a show on the internet. You have a large number of subscribers that need to receive the broadcast, and both to speed the data transmission and to protect yourself in the event of network or machine problems, you have multiple broadcast sources at different locations on the internet. Your goal is to get the broadcast to the subscribers as quickly as possible. One solution is to flood the network. While this solves the problem, other internet users may not appreciate your hogging the bandwidth. Another possibility is to compute a tree that spans the portion of the network containing the sources and subscribers and to send the transmission along the edges of the tree. It turns out that how we define "as quickly as possible" has a huge effect on both the type of tree we need to compute and how easy or hard it is to compute the tree. This talk will explore these differences, demonstrate techniques used in theoretical computer science, present a possible research problem for interested students, and on the way we will expose a bit of the dark side of research. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### November 17, 2005

 Title: Andy Lake's Talk:  Detectives, Squirrels and BRUW: My Summer At Internet2andDustin Turner's Talk:  Brainstorming, Barnstorming, and what the heck is there to do in Kansas? Speaker: Mr. Andrew LakeComputer Science SeniorDepartment of Mathematics and Computer ScienceAlbion CollegeandMr. Dustin TurnerApplied Mathematics and History JuniorDepartment of Mathematics and Computer ScienceAlbion College Abstract: Andy Lake's Presentation:  I will discuss my summer internship at Internet2 in Ann Arbor. Internet2 is a consortium of universities and organizations dedicated to building and testing next generation network applications. During my time with Internet2 I worked on a number of projects including the Internet2 Detective, BlackSquirrel, and BRUW. I will discuss the projects in detail in addition to what Internet2 is and how I got started with them.andDustin Turner's Presentation:  In this talk I will discuss research I did over the summer regarding the implementation of an algorithm for stable differentiation of noisy piecewise smooth data. In addition I will be discussing the REU experience and why students should consider one! Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### December 1, 2005

 Title: Some Clever Proofs using Advanced Mathematics Speaker: Mr. Giovanni DiMatteoPure Mathematics SeniorDepartment of Mathematics and Computer ScienceAlbion College Abstract: We'll examine three smart applications of topics from undergraduate math, includingCauchy sequences, topological spaces, and finite fields.I created one of these problems, read another in a book, and saw the third at the Budapest Semester in Mathematics (BSM). All of them yield(comparatively) neat solutions to the problemschosen; this serves partly as advertising for the problem solving seminar I will be running again in thespring and also as an opportunity to talk a little about my experience at the BSM program. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### December 8, 2005

 Title: Summer Programs and other Off-Campus Opportunities Speaker: Darren E. MasonAssistant ProfessorDepartment of Mathematics and Computer ScienceAlbion College Abstract: Have you ever wondered if you can study mathematics and/or computer science off-campus? Either during the summer or during the academic year? Each year a number of high-quality academic opportunities are availableto Albion College students. Options include research/study internships at academic institutions both within the United States and abroad, numerous federal government agencies, and a number of government scientific laboratories.In this presentation we will tour a new portion of the Albion College Math/CS website that illustrates these various opportunities as well as provide adviceon how to apply, deadlines, any other pertinent information. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### January 26, 2006

 Title: Is the whole really greater than the sum of its parts? Exploring partitions of numbers Speaker: Stephanie TreneerGraduate StudentDepartment of MathematicsUniveristy of Illinois at Urbana-Champaign Abstract: A partition of a positive integer n is a sequence of positive integers that sum to n. The partition function p(n) counts the partitions of n without regard to order. This deceptively simple function has led to a rich theory. We'll look at two elementary methods for analyzing partitions: Ferrers graphs and generating functions, and then briefly discuss how the theory of modular forms has led to some recent surprising results about p(n). Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### February 1, 2006

 Title: Writing -680 as a "Product of Threes": The power of τ-factorization Speaker: Andrea M. FrazierGraduate StudentDepartment of MathematicsUniveristy of Iowa Abstract: Download Here Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### February 9, 2006

 Title: Data Conversion and State Management for Heterogeneous Thread Migration Speaker: John P. WaltersGraduate StudentDepartment of Computer ScienceWayne State University Abstract: In long running parallel computations it may sometimes behelpful to migrate individual threads from one machine to another. Thishas applications in fault tolerance as well as runtime performance. However, a typical parallel application will rely on a certain globalstate that may no longer exist once migration has occured. Furthermore,it may be advantageous to migrate a thread to a heterogeneousarchitecture. How can a consistant global state be maintained in such asituation? Here we discuss the data conversion and consistency issuessurrouding heterogeneous thread migration. We show that this can beaccomplished in a method that is completely transparent to theuser/programmer. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### February 16, 2006

 Title: The Importance of Mathematics Speaker: Timothy Gowers ( virtual )Professor of MathematicsUniversity of CambridgeFields Medal Recipient Abstract: The Importance of Mathematics is a lucid, dynamic presentation of the deep and important question of the relevance of mathematics to society, delivered by one of the best mathematicians of the modern age. Timothy Gowers is Professor of Mathematics at the University of Cambirdge (UK) and a recipient of the prestigious Fields Medal.Professor Gowers gave the Keynote Address at the historic Millennium Meeting of the Clay Mathematics Institute  the very same meeting at which the Millennium Prize Problems were announced. Gowers spoke about the relevance of mathematics to diverse applications citing examples in computer science, finance, and engineering. His theme underscores the unity of different apparently diverse sub-fields of mathematics. His exposition is exceptionally clear and easy to follow, making mathematics accessible to non-experts.This lecture is a treasure trove of mathematical intuition and insight into the relationship between mathematics and its applications. Using historical and present-day examples, the speaker makes a convincing argument that mathematics plays a crucial role in the advancement of science.Gowers is known throughout the world for his proficiency as a speaker, and he leads us on a journey through arithmetic progressions, distributions of primes, and the political implications and real-world applications of mathematics, in a way that promises to delight and inspire experts and non-experts alike.Abstract quoted from http://www.claymath.org/annual_meeting/2000_Millennium_Event/Video/ Location: Palenske 227 Time: Citation Click for BibTeX citation Flyer Click for a printable flyer

### February 23, 2006

 Title: Trying to Find Order in Nature: Mapping Plants Using Multivariate Statistics Speaker: Christopher Van de VenAssistant ProfessorDepartment of Geological SciencesAlbion College Abstract: The geographic distributions of plants are functions of their local environments. Each plant species has a unique set of environmental tolerances that determine where a plant is able to grow. Using a multivariate statistical technique called canonical correspondence analysis (CCA), I estimate the tolerances of plant species to topographic and geologic parameters. Once the tolerances of those plant species are known, or at least approximated, the distribution of the plant can be mapped everywhere the environmental variables are known. These models are calibrated and evaluated based on data collected in numerous field sites. An interesting application of this technique is to predict how species would respond to climate change, by modifying the environmental variables and re-mapping the plant distributions. By predicting the consequences of local environmental change on plant species, I have identified which plants are at risk of local extinction, and estimated the magnitude of change to force them to go extinct. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### March 2, 2006

 Title: Groups and Symmetry Speaker: Ruth FavroProfessorDepartment of Mathematics and Computer ScienceLawrence Technological University Abstract: In this talk we will discuss how to use rigid motions and regular polygons to develop multiplication tables for symmetry groups. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### March 23, 2006

 Title: Connecting the Dots: Linear Algebra and Graph Theory Speaker: Sylvia HobartAssociate ProfessorDepartment MathematicsUniversity of Wyoming Abstract: Draw some dots and connect them with lines; this is a graph. Not a graph of a function as in calculus, but a combinatorial graph. Such graphs are defined purely structurally, and many things can be proved using that point of view. But bigger and better things can be done when we bring in other parts of mathematics. I will introduce some basic linear algebra and show how it codifies some properties of graphs. I will focus on a class called strongly regular graphs which are particularly appropriate for this approach. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### March 28, 2006

 Title: Life Isn't Fair: Social Choice Theory and Arrow's Theorem Speaker: Cayley PendergrassDoctoral CandidateDepartment MathematicsUniversity of California - San Diego Abstract: Kenneth Arrow proved in 1950 that, given a precise notion of reasonable, the only reasonable social choice function is dictatorship. As this is unsatisfying, recent work has begun to analyze which alternative voting scheme is best. This talk will discuss Arrow's theorem, what "best" might mean for a social choice procedure, and a geometric analysis of one particular family of social choice procedures.The talk will be accessible to anyone comfortable with (high school) algebra, basic properties of triangles, and logical reasoning. Location: Palenske 227 Time: 4:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### April 6, 2006

 Title: Exploiting Finger Surface As a Biometric Identifier Speaker: Damon WoodardPost-Doctoral Research AssociateDepartment of Computer ScienceUniversity of Notre Dame Abstract: Biometrics, the discipline of establishing an individual's identity based upon physical or behavioral characteristics, has become of major research area mainly due to the numerous applications for reliable personal identification. The performance of a biometric system is highly dependent on the chosen biometric identifier. We present a novel approach for personal identification which utilizes 3D finger surface features as a biometric identifier. Using 3D range images of the hand, a surface representation for the index, middle, and ring finger is calculated and used for comparison to determine subject similarity. We use the curvature based shape index to represent the fingers' surface. A large unique database of hand images supports the research. We use data sets obtained over time to examine the performance of each individual finger surface as a biometric identifier as well as the recognition performance obtained when combining them. The probe and gallery sets sizes are varied to determine their affect on overall system performance. We present performance results for both authentication and identification tasks which suggest that 3D finger surface is a viable choice as a biometric identifier. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### April 13, 2006

 Title: Ants Can Pick Stocks: A Heuristic for Constructing Equity Index Funds Speaker: Danny MyersProfessorDepartment of Applied Statistics and Operations ResearchBowling Green State University Abstract: An equity index fund attempts to duplicate the performance of a selected benchmark as closely as possible. For practical reasons, it is often desirable to achieve this with a designated number of securities. In the operations research literature the selection of securities for index fund construction can be formulated as a quadratic 0-1 programming problem. Since such models are NP hard, heuristic methods are usually required to produce (approximate) solutions in a reasonable time. This article reports on an Ant Colony Optimization approach to selecting securities for inclusion in an S&P 500® index fund. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### April 13, 2006

 Title: Statistics Science, Career, Passion, and Beyond Speaker: Arthur YehAssociate ProfessorDepartment of Applied Statistics and Operations ResearchBowling Green State University Abstract: In this talk, a general introduction of statisticswill be the main focus. Topics include statistics as a science, its applications in diverse fields, the job prospects, and what it takes to become a statistician. Drawing my own experience as an undergraduate majoring in mathematics, I hope to share with you my personal journey into statistics. I will also discuss the Master of Science in Applied Statistics program at Bowling Green State University. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### April 20, 2006

 Title: Web-Based Translation for Documenting and Preserving Languages Speaker: Martha O'KennonProfessor EmeritusDepartment Mathematics and Computer ScienceAlbion College Abstract: In this talk we will demonstrate how to develop translators in a 3-step process: parsing from source sentence to source diagram, translating from source diagram to target diagram, then finally formatting the target diagram into a target sentence. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer

### May 4, 2006

 Title: The Collapse of The Tacoma Narrows Bridge Speaker: Kristen MooreAssistant ProfessorDepartment of MathematicsUniversity of Michigan Abstract: For decades, scientists in many disciplines have worked to explain the dramatic torsional oscillations that preceded the collapse of the Tacoma Narrows Bridge in 1940, as well as the puzzling behavior of suspension bridges such as the Golden Gate, the Bronx-Whitestone, and Deer Isle. The forty-year effort to control the behavior of the Deer Isle Bridge in Maine, and the recent closing of London's Millennium Bridge testify to the fact that the problem of controlling suspension bridge oscillations remains unsolved.I will discuss some popular explanations for the collapse of the Tacoma Narrows Bridge. In addition, I will describe models for the motion of suspension bridges that yield rich and surprising numerical and theoretical results that explain the phenomena observed at Tacoma Narrows on the day of its collapse. Location: Palenske 227 Time: 3:10 PM Citation Click for BibTeX citation Flyer Click for a printable flyer