Indiana University  Purdue University Fort Wayne Department of
Mathematical Sciences Archive of Seminars, Workshops, and Events
Spring 2018
Photo, Video, and Abstracts page for this semester's events
Colloquium
 Bin Chen, Purdue University Northwest Department of Electrical & Computer Engineering, Convolutional Neural Network and its Applications, May 2.
 Drake Olejniczak, Western Michigan University, A Foray into Ramsey Theory, April 9.
Analysis Seminar
 Martino Fassina, University of Illinois, Type conditions for CR submanifolds, March 28.
College of Arts & Sciences Distinguished Lecturer
PI Math Club
 Drew Swartz, Data Scientist at IRI Chicago, and IPFW
Alumnus, A chat about Data Science careers, April
30.
 2018 Math Matters Student Talks Event, April 18:
 Photo
page
 Melissa Sarrazine, Cellular Automata
 Aiham Hassan, Pappus' Hexagon Theorem
 Xiao Yuan, Modeling Dependence among Stock Prices
 Giang Le, Numerical Investigation on the Solar System
 Vincent Rivera, Solving SecondOrder Recurrence Relations
 Skyler Haas, IHSAA's Nearest Neighbor Nightmare
 Pi Day Event
 Alan Legg, Sonoluminescence – light from sound, Feb. 7.
Pi Mu Epsilon
 Christer Watson, Manchester University Department of
Physics, Gravitational Waves, April
8. Photo
and video page
Fall 2017
Colloquium
Analysis Seminar
 Yifei Pan, Harmonic Maps, Nov. 1.
 Yifei Pan, Hopf Lemma, Oct. 18.
 Yifei Pan, Julia Lemma, Sept. 27.
 Adam Coffman, Perturbations of isolated zeros, Sept. 13.
 Video recordings or slides of some of these talks may be available  contact A. Coffman.
PI Math Club
 2017 Celebration of the Mathematical Mind Event: Oct. 30.
 Poster:
 Photo
and Video page
 Rockets in the Classroom: It Really is Rocket Science, Michael Hollman, NASA Student Launch Initiative Consultant
 Stamping Through Mathematics, Robin Wilson, Oxford University
 Here’s Looking at Euclid: 1000 Years of Greek Mathematics, Robin Wilson, Oxford University
Summer 2017
Colloquium
Spring 2017
Colloquium
 Photos and Abstracts page
 Peter Boyvalenkov, Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences, On Bounds for Antipodal Spherical
Codes. May
10.
 Annette Ricks Leitze, Ball State University, A Journey into Online Teaching: Tips and Tidbits, May 8.
 W. Doug Weakley, My Life with Queens. April 11.
 Drew Lipman, Clemson University, Normal Domains Arising from Graph Theory. March 29.
Analysis Seminar
 Photo page
 Yifei Pan, Kobayashi metric III and IV, April 13 and 20
 Yifei Pan, Nowhere conformal maps, March 16.
 Yifei Pan, Kobayashi metric II  the flat case, Feb. 23.
 Adam Coffman, Mobius transformations and ellipses, Feb. 14
 Peter Dragnev, Logarithmic interactions on the sphere in the presence of discrete external field, Feb. 7.
 Alan Legg, Deformations of quadrature domains, Feb. 2.
 Yifei Pan, A Kobayashi metric for Riemannian manifolds?, Jan. 26.
PI Math Club
 The Math Matters annual student talks event
 Photo page
 Program

Anthony Hartle, Calculating NHL Ratings using an Adapted Elo Model
 Srikiran Dasari, based on joint work with Connor Malott, Families of Polar Curves
 Aaron Thieme and Matthew Wyss, Formality as Permutation Invariance
 Diana Bezuhlyy, Modeling the Volatility of Lincoln Financial Group Daily Stock Returns
 Duy Anh Do and Giang Le, How Math Guides the Stars
 Kenda Barnes, Modeling Adult Women's Weight
 Prof. Andrew Rich, Manchester
University, The Better Box Paradox, March
22.
 Prof. L. Kuznar, IPFW Department of
Anthropology, Graph Theory and the Stability of Middle
Eastern Conflict: What Comes After
ISIS? Feb. 8.
Fall 2016
Colloquium
 Photos and Abstracts page
 Daniela Ferrero, Texas State University, The Power Domination
Problem. Oct. 31.
 N. Rao Chaganty, Statistics Program Director, Old Dominion
University, Graduate Education and Programs: An option for
undergraduate students.
Oct. 24.
Conference
 The 2016 Midwestern Workshop on Asymptotic Analysis was here on the IPFW campus, Oct. 79.
PI Math Club
 Prof. A. Downs, IPFW Department of
Political Science, When Math Mattered in Indiana,
Dec. 7.
 Prof. D. Vasquez, IPFW Department of
Physics, Chaos in Dynamical Systems,
Nov. 16.
 Prof. S. Gillam, IPFW Department of
Physics, Updates on the IPFW undergraduate astronomical
observatory,
Oct. 5.
Summer 2016
Colloquium
Spring 2016
Colloquium
 Photos and Abstracts page
 Juming Pan, Bowling Green State University, Model Selection in Linear Regression, Feb. 17.
 Daniel Yorgov, University of Colorado  Denver, Discovering Novel Genetic Factors that Influence the Vitiligo Pigmentation Disorder, Feb. 22.
 Dawit Tadesse, University of Cincinnati, Classification Methods and Their Applications in Gene Expression and Annual Financial Data, Feb. 23.
 Jay Bagga, IPFW Visiting Researcher, and Ball State University Department of Computer Science, Are Trees Graceful?, March 23.
 Sheryl Stump, Ball State University, The Common Core and Its Legacy in Indiana. March 30.
 Linda Lesniak, Western Michigan University, Chvátal's Tough Conjecture, April 11.
 Keng Deng, IPFW Scholar in Residence, and University of Louisiana at Lafayette, Competitive Exclusion and Coexistence in a TwoStrain Pathogen Model with Diffusion, April 18.
 Alan Legg, Purdue University WL, The Bergman Projection and Polynomials on Ellipsoids, April 19.
 David Benko, IPFW Visiting Researcher, and University of South
Alabama, Guessing the Probability of a Fake Coin, April
28.
Analysis Seminar
 Yifei Pan, Global existence for CauchyRiemann equations, March 23.
 Adam Coffman, Isolated CR singularities of real 3manifolds in C^{3}, April 5.
PI Math Club
 The Math Matters Student Talks
event, April
20. Photo
page
 Christina Wiler, Cost Comparison: Early Intervention vs Special Education for Children Diagnosed with Autism
 Jessie Moffitt, Discrete Mathematics in Computer Science
 Lingxi Wu, Computational Mathematics and Minimizing Energy
 Vreneli Brenneman, Magic Squares
 Event: Pi Day Celebration, March 14, 2016
(31416!).
 Prof. Coroian, A Few HardtoBelieve Facts in Everyday
Math, March 2.
Pi Mu Epsilon
 Jay Bagga, IPFW Visiting Researcher, and Ball State University Department of Computer Science, The Mathematics and Technology of Elections and Voting, April 24.
IPFW Outstanding Research Award Lecture
 Peter Dragnev, The Mathematics of the
Soccer Ball: A Mathematician's Quest to Minimize Energy, March
18.
Photos
from the Event
Fall 2015
Colloquium
 Robert Womersley, University of New South Wales,
Australia, Efficient Spherical
Designs with Good Geometric
Properties, Dec. 2.
 Laurent Baratchart, INRIA, France, Singularity
Distribution of Best Meromorphic Approximants,
Nov. 4.
 Ramón Orive, Universidad de La Laguna, Spain, A
Variation on the Classical Stieltjes Electrostatic Model,
Oct. 7.
 Photo page
Analysis Seminar
 Adam Coffman, Examples for Green's Theorem with discontinuous partial derivatives. Sept. 23.
 Peter Dragnev, Minimal energy configurations, Parts 12, Sept. 30, Oct. 21.
 Yifei Pan, Unique continuation problems, Parts 12, Oct. 28, Dec. 2.
PI Math Club
College of Arts and Sciences Enhancement of Learning Presentation
 Sue Mau, with Samantha McGlennan, IPFW alumnus and Summit Middle
School teacher, Better Together  Lessons Learned from Paired
Field Experience Placements
 College of Arts & Sciences link
 Poster
 Powerpoint slides
 Photo
page
Summer 2015
Colloquium
 Photo page for Summer 2015 Colloquium Series
 Yang Liu, Zhejiang Normal University, China, and IPFW Visiting
Researcher, Controllability, stabilization, and synchronization
problems on Boolean control networks. June
3.
 Johann Brauchart, Technische Universität Graz,
Austria, Covering, Separation, and Discrepancy for Random Points
on the Sphere. May
27.
Spring 2015
Colloquium
 Photo and abstracts page for Spring 2015 Colloquium Series
 Maya Stoyanova, Sofia University, Universal Lower Bounds
on Energy  Computational Aspects, March
18.
 Peter G. Boyvalenkov, Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences, Energy Bounds for Codes and Designs
in H(n,q). March
4.
 Peter Dragnev, IPFW, Universal lower bounds for potential energy of spherical codes, Feb. 4.
Analysis Seminar
 Yifei Pan, Unique continuation for higherorder CauchyRiemann operators II. March 6.
 Adam Coffman, Counterexamples in one complex variable, II.
 Yifei Pan, Unique continuation for higherorder CauchyRiemann operators.
 Yifei Pan, Unique continuation and three circles.
 Adam Coffman, Counterexamples in one complex variable, I.
PI Math Club
 Math Matters: PI Math Club/Pi Mu Epsilon student talks, April 22.
 Bre Anne Briskey, Men or Women: Who Really Talks More?
 Jessie Moffitt, Modeling Water Distribution Using Flow Networks
 Luke Bertsch, Optimal Blackjack Strategy
 Vreneli Brenneman, Solomon's Pool
 Photo Page
 Poster
Pi Mu Epsilon
 Prof. Anderson, Convergent isn't necessarily wellbehaved, May 3. Photo Page
Fall 2014
MIGHTY Graph Theory Conference
Colloquium
 Robin Wilson, Open University, England, Euler: 300 Years
On. Oct. 1. Photo
Page.
Joint with PI Math
Club
 Peter Hamburger, Western Kentucky University, and IPFW
Emeritus, Social and Socioeconomic Sciences and Dimension of
Posets.
Oct. 2. Photo
page.
PI Math Club
 A Celebration of the Mathematical Mind event for the Martin Gardner Centennial
 Robin Wilson, Open University, England, Mathematics: A
Philatelic
History. Oct. 3.
 In this talk I cover the entire history of mathematics in just over an hour! To do so, I shall illustrate it in an unusual way – with over 300 postage stamps featuring mathematics and mathematicians – some very bizarre!
 Photo page
Analysis MiniSymposium
Summer 2014
Workshop
 Summer Summit for Excellence in Math & Science. July
14.
Colloquium
 David Benko, University of South Alabama, Comparing Tennis Tournaments
 July 29
 Photo
page
 Abstract: The four major tennis tournaments (Grand Slams) are the Australian Open, the US Open, the Roland Garros, and Wimbledon. They are played on different surfaces and under different weather conditions. Which one is the best tournament? The answer seems subjective but we will find a mathematical method to answer objectively. Our method is applicable to other sports, too.
 Peter Boyvalenkov, Bulgarian Academy of
Sciences, Polynomial Techniques for Investigation of
Spherical Designs, May
22.
Spring 2014
Conference and Student Competition
Colloquium
 Dusty Grundmeier, University of Michigan, Hilbert
Functions and Positivity Conditions in Complex
Analysis. April
16. Photo
Page
 Keng Deng, University of Louisiana at Lafayette, Blowup for
the Heat Equation with a General Memory Boundary Condition. April
23.
PI Math Club
 PI Math Club/Pi Mu Epsilon student talks: At
this annual event, IPFW students talk about their research or
independent projects. Talks are April 16, about 15 minutes long. The
talks will be judged for cash prizes sponsored by Pi Mu
Epsilon.
 Luke Bertsch, Fantasy Baseball Simulation
 Vreneli Brenneman, Geometry Meets Origami: Halving the Square
 Charles Burd, Even Statisticians Love Geometry
 Alex Liu, Everyone Deserves A Second Chance
 Magali de Macedo, Using Finite Series to Evaluate the LifeCycle of Chemical Reactors
 An Analysis of PassthePigs, Prof. Michael Sonksen,
University of New Mexico, and IPFW alumnus. April
10
Pi Mu Epsilon
 Prof. Lipman, What's your birthday? April 27.
Fall 2013
Colloquium
 SuiChung Ng, Temple University, Holomorphic isometry among
bounded symmetric domains and its motivations,
Nov. 12.
Analysis MiniSymposium
 Third annual symposium: November 8.
 Schedule of talks:
 9:10  9:50 D. Hardin, Energy minimization, packing, and lattices: Kissing in eight dimensions
 10:10  10:50 D. Chakrabarti, Proper holomorphic maps of product domains
 11:00  11:40 N. Zorii, Minimum Riesz energy problem for a condenser with touching plates
 11:5012:10 Y. Pan, A Schwarz Lemma for harmonic mappings between unit balls
 2:00  2:20 J. Anderson, Global solvability for degenerate diffusion models with memory boundary conditions arising in the study of tumor induced angiogenesis
 2:30  3:10 E. Saff, Minimal energy and maximal polarization
 3:30  3:50 Y. Zhang, On the existence of solutions to nonlinear systems of higher order Poisson type
 Printable Poster with Schedule:
 List of Abstracts
 Photo
page
PI Math Club
 Mystery Speaker, What's so special about Dec. 5, 2013?
 Prof. Coffman, Geometry in Perspective,
Nov. 13.
Analysis Seminar
 Adam Coffman, Notes on Rosay's Notes on normal forms for almost complex structures. Sept. 26.
Spring 2013
Colloquium
 Joint with PI Math Club: Edray Goins, Purdue WL, on An
Introduction to Dessins d'Enfants: The Intersection of Graph Theory,
Group Theory, and Differential Geometry. March 6.
 John Erik Fornæss, University of Michigan
Emeritus, Exposing
Points. Jan. 23.
 2013 Colloquium Photo Page
 Peter Dragnev, From Electrons to Orifices to Fullerenes: The
Unfolding Story of Energy Optimization. Feb. 20.
Photo
page
PI Math Club
 Prof. Dragnev, Characterizing stationary logarithmic points on
the sphere,
Jan. 30.
 PI Math Club/Pi Mu Epsilon student talks: At this annual event, IPFW students talk about their research or independent projects. Talks start at noon, April 24, and will continue until 1:30 (or sooner). The talks are judged for cash prizes.
 Graph Theory and Crystal Physics  Harry Francies
 Counting Euler Circuits  Cullen Hauser
 Golden Discoveries  Vreneli Brenneman
 Generalized Thompson Problem for 5 Points  Altun Shukurlu
 Creative Applications of Design of Experiments  Magali de Macedo
 Why Such a Big Deal About a Sample of 30 or More?  Peter Saya
Pi Mu Epsilon
 Prof. Coroian, The Transit of Venus and why it was one of the
most important events in science history. May
28. Photo
page
Fall 2012
Colloquium
 Peter Hamburger, Western Kentucky University, and IPFW Professor
Emeritus, An Alternative Proof of Bézout's
Theorem. Nov. 20. Photo
Analysis MiniSymposium
 Second annual symposium: November 9.
 9:00 Norm Levenberg, Indiana University Bloomington, Projective hulls and characterizations of meromorphic functions
 10:00 Sergiy Borodachov, Towson University, Asymptotics for the discrete minimum Riesz energy problem
 11:00 Yu Yan, Huntington University, A Hopf lemma for higher order differential inequalities and its applications
 1:30 Yuan Zhang, IPFW, Supnorm estimates for dbar on infinite type convex domains in C^{2}
 3:30 Yifei Pan, IPFW, Finding flat solutions of the CauchyRiemann equation with flat data
 Printable Poster:
 Schedule and
Abstracts:
 Photo page
Analysis Seminar
 Yifei Pan, A complex integral surface on a manifold: The definition and local existence theorem.
 Yifei Pan, Unique continuation of CauchyRiemann operator with L^{2} potential.
 Adam Coffman, Counterexamples to strong unique continuation for a Beltrami system in C^{2}, II.
 Yuan Zhang, CR singular images.
 Adam Coffman, Parabolic CR singularities.
PI Math Club
 Prof. Beineke, Through the lurking
graphs. Nov. 14.
 Prof. Chauhan, Statistics lasts because it puts quality
first. Oct. 17.
Spring 2012
Colloquium
 Maxim Yattselev, University of Oregon, Spurious poles in
Padé approximation of algebraic functions,
Feb. 27.
 Yuan Zhang, University of California San Diego, Global
extension and rigidity for local holomorphic isometric
embeddings,
Feb. 28.
 Peter Hamburger, Western Kentucky University, Much Ado about
Real Numbers, April 4.
(joint with PI Math
Club)
 Yifei Pan, Solvability of Partial Differential Equations. Feb. 24. Photo page
PI Math Club
 Student talks event: April 11.
 Calculus for Climatologists, Guchen (Alex) Liu
 The Easiest Solution Isn't Always the Best Solution, Even in Math, Aldane Hoilett
 Billy Rhoades, Indiana University Bloomington Emeritus, Euler
Was
Right. Jan. 25.
Pi Mu Epsilon
Analysis Seminar
 David Redett, An introduction to weakly stationary
processes. March 12.
 Abstract: I will begin by defining what it means for a stochastic process to be weakly stationary. We will then consider some examples. After identifying the spectral measure for a weakly stationary process, we will see how properties of this measure are reflected in the structure of the weakly stationary process.
Fall 2011
Analysis MiniSymposium
Colloquium
 Yuan Zhang, UCSD, ChernMoserWeyl tensor theory and its
applications to the Hopf Lemma for CR
maps, Nov. 11.
College of Arts & Sciences Distinguished Lecturer
PI Math Club
 J. Millspaw, IPFW Physics, Noisy Color Math,
Oct. 19.
Discrete Math Seminar
 Drew Lipman, University of Waterloo alumnus, An introduction
to primal graphs,
Nov. 14.
 M. Lipman, M. Walsh, and L. Hicks, Proper graph coloring. Sept. 26.
Analysis Seminar
 I. Kossovskiy, University of Western Ontario, Mappings of 2nondegenerate hypersurfaces in dimension three, Nov. 11.
 Y. Pan, On solvability of nonlinear partial differential systems of any order in dimension two. Sept. 27.
Summer 2011
Colloquium
 David Benko, University of South Alabama, On a Remarkable Infinite Series. May 26.
Spring 2011
Conference
Analysis Seminar
 Adam Coffman, Counterexamples to strong unique continuation for a Beltrami system in C^{2}.
PI Math Club
 Lunchtime presentation by Prof. Coroian, Brahe, Kepler,
Newton and the Laws of Planetary
Motion.
 Student Talks event:
 Heip Nguyen, Roller Derby
 Melissa Guse, Way Harder Than Fly Fishing: Comparing the means of two populations
 Brad Moss, A New Approach for Comparing the Means of Two Populations
 Garret Marshall, Generalized Estimating Equations and QuasiLeast Squares
 G. Venema, Calvin College, Dimension Theory for
Undergraduates.
 D. Maloney, IPFW Physics, Deciding how to attack a
problem.
Pi Mu Epsilon
 Alex James, IPFW alumnus, Educating a different kind of mathematician. Installation ceremony, May 1.
Fall 2010
Colloquium
 Lyn English, Queensland University of Technology, Brisbane (Australia). Complex Learning in Interdisciplinary Contexts.
 Professor Lyn English is internationally recognized for her extensive research and publications in mathematics education, which has spanned preschool through to year 10. Her areas of research include mathematical modelling in the primary school, problem solving and posing, statistical reasoning, analogical reasoning, early mathematical development, and webbased distributed learning communities. Prof. English's new field of research is engineering education in the middle and primary school, involving collaborative work with staff from QUT's School of Urban Development and Purdue University's Institute for P12 Engineering Research and Learning, where she is a member of the Institute's advisory board. Prof. English is a Fellow of the Academy of the Social Sciences in Australia. She is founding editor of the international journal Mathematical Thinking and Learning, which is published by Taylor & Francis in the US. Prof. English is on the editorial board of several international journals including Contemporary Educational Psychology, The International Electronic Journal of Mathematics Education, and Educational Sciences: Theory & Practice.
 Subramanian Arumugam, Kalasalingam University (India). Distance Magic Graphs.
 Abstract: A graph G with n vertices is called distance magic if its vertices can be labeled with the numbers 1, 2, … , n in such a way that the sum of the numbers assigned to the neighbors of a vertex is always the same. In this talk, we survey the literature on distance magic graphs, and then present some of our recent results, open problems, and conjectures.
PI Math Club
 Garret Marshall, IPFW graduate student, Longitudinal Data
Analysis.
 Matt Walsh, Harmony and Compromise: The Math Behind
Musical Scales.
 Allen Schwenk, Western Michigan University, What Does
'Mean' Mean?
Discrete Math Seminar
 Matt Walsh, Binary basephi representations of positive integers
 Doug Weakley, Is every Cinfinity word
recurrent?
 Marc Lipman, Complete sphereofinfluence graphs.
 Chip Vandell, Connected decycling in hypercubes.
 Marc Lipman, Highlyconnected networks with low degree.
Analysis Seminar
 Peter Dragnev, Ping pong balayage and convexity of the Riesz and logarithmic equilibrium measures.
 Abstract: Let E be the union of finitely many intervals or arcs on the unit circle. In joint work with David Benko we prove that the equilibrium measure of E has a convex density. This is true for both the classical logarithmic kernel, and the Riesz kernel. The electrostatic interpretation is the following: if we have a finite union of subintervals on the real line, or arcs on the unit circle, the electrostatic distribution of many "electrons" will have convex density on every subinterval. I will present applications of this result to external field problems and constrained energy problems.
Summer 2010
Colloquium
 Erwin MinaDiaz, University of Mississippi, Asymptotics of Polynomials Orthogonal on the Unit Disk with respect to a Positive Polynomial Weight, Aug. 11.
 Abstract: We derive asymptotics for polynomials orthogonal over the complex unit disk D = {z : z < 1} with respect to a weight of the form h(z)^{2}, with h(z) a polynomial without zeros in D. The behavior of the polynomials is established at every point of the complex plane.
 N. Rao Chaganty, Old Dominion University, Multivariate Discrete Models Based on Copulas for Repeated Measurements. June 3.
 The multivariate normal distribution is often used in the modeling and analysis of repeated measurements such as clustered and longitudinal data. While the multivariate normal distribution can simplify analysis in the continuous case, no corresponding multivariate distribution analogue has been commonly accepted for discrete variables such as binary, count or ordinal variables. The use of copulas for modeling multivariate discrete responses is seen as a promising solution. Specifically, exchangeable copulas can be used to model clustered discrete data, while longitudinal discrete data can be modeled by an appropriate copula with decreasing timelag dependence. The specification of the multivariate discrete distribution through the use of copula functions provides complete inference, in the sense that maximum likelihood estimation and the calculation of joint and conditional probabilities are possible. In this talk, I will provide a concise introduction to copulas and discuss various methodologies for parameter estimation.
Spring 2010
Colloquium
 Yu Yan, Huntington University, The Scalar Curvature Deformation Equation on Locally Conformally Flat Compact Manifolds. April 28.
 Natalia Zorii, Institute of Mathematics, National Academy of
Sciences of Ukraine, Equilibrium Problems for
InfiniteDimensional Vector Potentials with External Fields. May
14.
Analysis Seminar
 Peter Dragnev, Asymptotic behavior of Carleman orthogonal polynomials.
 Adam Coffman, Glaeser's Inequality on an Interval.
PI Math Club
 Student talks: Cynthia Ellis, Origami: More than an art form; and Cindy Harter, A tale of transitivity.
 Lunchtime talk: Paul Richeson (IPFW student and intern at Lincoln Financial), and Rick Richmond, FSA, MAAA (actuarial consultant at Lincoln Financial), Becoming an Actuary.
 D. Maloney, IPFW Physics, Problems and Problem Solving Tools.
Pi Mu Epsilon
 Adam Coffman, Möbius transformations and ellipses.
Fall 2009
Colloquium
 Johann S. Brauchart, Vanderbilt University, Weighted Minimal Energy Problem on the Unit Sphere. Aug. 28.
 Consider an isolated charged sphere in the presence of an external
field exerted by a point charge over the North Pole. Point charges are
thought to interact according to the Rieszspotential 1
/ r^s with d2<s<d. (Here, d+1
is the dimension of the embedding space.) We present results from
joint work with Peter Dragnev and Ed Saff concerning the weighted
extremal measure solving this external field problem and its
properties (support, representation,
potential).
 N. Rao Chaganty, Old Dominion University, Analysis of Clustered and Longitudinal Binary Data. Sept. 4.
 Clustered and longitudinal binary data occur in genetics, biomedical, and a wide range of scientific studies. These data are naturally dependent, and common measures of association for the study of dependence between the binary variables include correlations and odd ratios. In this talk I will discuss permissible ranges of these measures of association. I will present some examples to show that the generalized estimating equations method, a nonlikelihood and moment based method, ignores these ranges and gives misleading pvalues and incorrect conclusions. A proper likelihood approach for the analysis of dependent binary, and in general discrete, data is based on copulas. If time permits, I will give a short introduction to copulas as well.
PI Math Club
 G. Petruska, IPFW Computer Science, Series and Products: Euler's Wizardry.
 The main topic of this talk will be Euler's famous summation formula (also known as the EulerMaculaurin formula). Following Euler's path, we will deduce several interesting results, some of which go back centuries into the history of mathematics. Understanding the mathematical thinking and machinery of Euler's era, we will endeavor to apply these results to "obtain" more modern results, such as the famous Mertens' theorem.
Spring 2009
Colloquium
 Debraj Chakrabarti, University of Notre Dame, CR Functions on Singular Hypersurfaces.
 We consider the question: which functions on a hypersurface M in C^n ( n > = 2) arise as the boundary value of holomorphic functions? When M is smooth, the answer to the global version of this question is that the function on M is CR (BochnerHartogs theorem.) There are however obstructions to local extension of CR functions (nonminimality). We consider the local problem for a class of singular hypersurfaces (which includes the real analytic singular hypersurfaces) and describe some new phenomena which can occur only in the singular case.
 David Benko, University of South Alabama, The Integrity of Graphs.
 The integrity of a graph is a certain number which measures how difficult it is to break the graph into small components. This is a useful number to consider when designing networks. We calculate the integrity of "boxgraphs" in dimension d (up to a constant factor). We also give an upper estimate on the integrity of planar graphs. Joint work with C. Ernst and D. Lanphier.
Analysis Seminar
 Adam Coffman, CR singularities of real 4manifolds in C^{3}, part III.
Pi Mu Epsilon
 John LaMaster, The fourth dimension.
PI Math Club
 Student Research Talks:
 Garret Marshall, The confessions of tortured data
 Richard Grzych, Relax, problem solved
 Ryan Fritz and Chris Baber, How financial indicators compare with an economic indicator
 L. Beineke, IPFW, Through the Lurking Graphs.
 Behind many a game and puzzle there lies some graph theory. In this presentation, we will give some of the ABCs of the subject, such as Asteroid, Bridgit, Curious Coins, and DotsandBoxes (and more). The talk will be accessible to students without a background in graph theory.
 Peter Dragnev, School Districts on Mars, Fuel Depots on Jupiter, Inimical Dictators on Neptune?! Or How to Arrange Points on the Sphere.
 Isn’t it interesting what connects the objects in the title?
Wouldn’t it be wonderful if all Schools were so perfectly
located on Mars that no students in any School District had to walk
“too much”? Or the Fuel Depots were so conveniently
located that it was easy to ship fuel to all parts of Jupiter? And
what about all these Dictators on Neptune, that hate each other so
much, that we want them as far apart as possible?
Now seriously, the “uniform” distribution of many
points on the unit sphere is a highly nontrivial problem with
applications throughout the whole spectrum of modern science. Whether
one studies electrons in equilibrium from Physics, large fullerene
compounds from Chemistry, orifices of pollen grain from Biology, or
data encoding from Computer Science, one arrives at spherical
arrangements of points that minimize some form of energy. So, tighten
your seatbelts and prepare for a fascinating journey around the Galaxy
of Minimal Energy Points.
 Drew Swartz, IPFW undergraduate math major, An Investigation of the Structure Underlying Irreducible Divisors.
 Interested in learning about a current area of mathematical research? This talk will discuss some of the work being done by undergraduates, like yourselves, at an undergraduate research program at Wabash College, funded by the National Science Foundation. Don't be deterred if you have not yet had a course in Abstract Algebra. Plenty of time will be allocated towards giving a general introduction to the topics at hand.
A current trend in algebraic research is to utilize graph theory as a tool to analyze the algebraic properties of special sets of numbers, called "rings." In this talk we'll examine how the relatively new concept of the "irreducible divisor graph" allows us to better understand factoring within rings.
See also:
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