### Fall 2015 - Spring 2016

**Tom Corwin '69 (Corwin Associates)**

Friday, November 13, 2015

Mendel Hall Room 154, 2:30-3:30

**Title: The Mathematics of Search: Theory and Operational Examples**

**Abstract: **

I will review the basic tenants of Optimal Search Theory and discuss its application to real-world searches. These include:

1. The search for the H-bomb lost off Polomares Spain — 1966

2. The search for the USS Scorpion — 1968

3. Clearance of the Suez Canal — 1974

4. ComSubPac Submarine searches — 1975 through 1977

5. Search for the Miramar F-14 — 1976

6. Search for the USS Central America — 1988

7. Air France 447 — 2009

8. Malaysian Air 370 — 2014

Robert Buchanan (Millersville University)

Friday, November 20, 2015

Mendel Hall Room 154, 2:20-3:30

**Title: The Mathematics of Wagering**

**Abstract: **Parimutuel wagering is a form of gambling in which the payoff of a bet is determined in part by the collective wagers of all the bettors. Parimutuel wagering in common in horse racing and lotteries. The past performance of horses and jockeys can be analyzed to model the probabilities associated with future performance outcomes. When private estimates of race outcome probabilities differ from the collective public’s estimates as measured by their wagers, bets may be made which have a positive rate of return. The amount wagered and the outcomes wagered on must be carefully chosen to optimize the utility of the bettor’s bankroll. Information present in the win betting pool can be used to estimate probabilities of outcomes in the exotic betting pools.

This talk will touch on topics in statistical modeling, parameter estimation, and nonlinear, numerical constrained optimization. It will be understandable by undergraduate mathematics students.

**David Chuss '97 (Villanova University)**

Tuesday, December 8, 2015

Mendel Hall 154, 2:30-3:30

**Title: Searching for the Fingerprint of Inflation in the Cosmic Microwave Background**

**Abstract: **The past two decades have brought a vast improvement in our understanding of cosmology during which the Big Bang paradigm has been quantified using a six parameter model. The observed geometric flatness of the universe, it's near homogeneity, and the small deviation from scale invariance of the small temperature fluctuations in the cosmic microwave background (the relic radiation from the early universe) have hinted that the universe underwent a period of brief, rapid expansion in the first fraction of a second. This expansion, called "inflation," is predicted to produce gravitational waves that would have imprinted a faint but distinct polarization pattern in the cosmic microwave background. The Cosmology Large Angular Scale Surveyor (CLASS) is currently being constructed in the Atacama Desert to search for this signal to test the inflation paradigm. I will review the state of the art of our current understanding of cosmology and discuss the CLASS instrument capabilities.

**Chris Rorres (Drexel University)**

Thursday, January 21, 2016

Saint Augustine Center Room 300, 6:00-8:00

**Title: The Law of the Lever: Archimedes vs. Mach**

**Abstract: **Over a century ago Ernst Mach, the famous Austrian physicist and philosopher of science, wrote a blistering criticism of Archimedes' celebrated proof of the Law of the Lever. Mach accused Archimedes of overusing his "Grecian mania for demonstration" and succeding in his proof only "by the help of the very propostion he sought to prove". His attack drew the expected objections from many historians and philosophers of science who, in turn, accused Mach of not understanding the subtleties of Archimedes' proof. I will give my own interpretation of this controversy from a mathematician's poin tof view, concluding with my belief that while Archimedes did indeed prove something, it can hardly be called a proof of the Law of the Lever.

**Weiwen Miao (Haverford College)**

Friday, February 12, 2016

Saint Augustine Center Room 300, 2:30-3:25

**Title: New Statistical Tests for Detecting Disparate Impact Arising from Two-Stage Selection Processes**

**Abstract:**Statistical evidence is often critical when a court decides whether an employment practice (e.g. a promotional exam) has a disparate impact on minority candidates. In many cases, the hiring or promotion process consists of two steps. Since disparate impact can occur at each step, parties submitting evidence may use statistical tests at each stage without accounting for a potential multiple comparisons problem. Because different courts have focused on data concerning either one or the other step or a composite of both, they have reached opposite conculsions when faced with similar data. After illustrating the issues, two two-step tests are recommended to alleviate the problem. The large sample properties of these tests are obtained. A simulation study shows that in most situation, the new tests have higher power than the ones in current use.

**Erica Graham (Bryn Mawr College)**

Friday, April 1, 2016

Mendel Hall Room 154, 2:30-3:25

**Title: On Mathematical Models of Metabolic Dysfunction: Diabetes, Cells, and Sleep**

**Abstract:** How are cells, sleep, and diabetes related? Type 2 diabetes, in particular, is a metabolic disease whose very presence results from a coodrinated dysfunction of cells within the body. Although the disease is well studied, there remain significant gaps in our understanding of its development. Genetic and environmental factors are known to determine individual susceptibility to diabetes. Overnutrition is commonly associated with disease, whereas circadian disruption is a less known contirbutor to enviironmental susceptibility. Because diabetes often takes decades to develop, mathematical modeling is a useful tool to study disease progression from various perspectives. In this talk, I will discuss mathematical models of metabolic dysfunction, in the context of both cellular mechanism and sleep-wake patterns.

**Mark McKibben (West Chester U)**

Friday, April 8, 2016

Mendel Hall Room 115, 2:30-3:25

**Title: Holey Rocks, Indecisive Fluids, Vanishing Beaches & Fiery Neurons: The Unifying Nature of Implicit Evolution Equations**

**Abstract: **Hidden connections often lurk beneath the surface that, once discovered, enable mathematical models of seemingly disparate phenomena to be studied within a single, unified abstract framework. When the models consist of partial differential equations, the form of this structure is an abstract evolution equation. In this talk, we shall begin by illustrating, in a sequence of steps, how an abstract evolution equation can be derived to unify the study of the models alluded to in the title. Then, we will incorporate environmental noise into the models and develop an even more encompassing stochastic theory governing the evolution of these processes. If time permits, commentary will be given on current and future directions of research in this area, including how one accounts for sharp blows to the system, time delays, and "not-so-nice" noise (e.g., fractional Brownian motion).

### Fall 2014-Spring 2015

Friday, October 23, 2015

Topic: Mathematical Modeling of Animal Epidemics

Chris Rorres (University of Pennsylvania)

Friday, January 30, 2015

**Title: Games on Planes: Using similar rules to Tic-Tac-Toe to create a variety of strategy games**

Dr. Maureen Carroll (Scranton University)

Tuesday, December 9, 2014

**Title: Restricted Scheffe` Method Using Minimal Cone Approach for Multiple Comparisons**

Dr. Yimin Zhang (Villanova University)

** **

Friday, November 21, 2014

Title: Joint Modeling: When One Model is Not Enough

Paul Berhardt (Villanova University)

Friday, October 24, 2014

Title: A Powerful New Test for the General Two-Sample Problem

Dr. Jesse Frey (Villanova University)

Friday, September 26, 2014

Title: The Analogy of Phantom Traffic Jams and Detonation Waves

Dr. Ben Siebold (Temple University)

Friday, September 12, 2014

Title: The Rental Harmony Theorem

Dr. David Futer (Temple University)

### Fall 2013-Spring 2014

Friday, September 27, 2013

Title: Sub_Weyl subconvexity and short p-adic exponential sums

Dr. Djordje Milićević (Bryn Mawr College)

Friday, September 13, 2013

Title: The Rim Hook Rule: Enumerative Geometry via Combinatorics

Dr. Elizabeth Beazley (Haverford College)

### Fall 2012-Spring 2013

Friday, April 12, 2013

Title: Inverse Problems: Determining the Equation from the Solution

Dr. Shari Moskow (Drexel University)

Friday, February 1, 2013

Title: Modeling and Interpretation of Vaccine Cross-over Clinical Trials Data

Scott Patterson (Pfizer Vaccine Clinical Research)

Friday, November 30, 2012

Title: Search Algorithms.

Tom Corwin, class of '69, founder and CEO of Metron Inc.

Friday, November 16, 2012

**Title: Unirational Parameterizations of Cubic Surfaces**

Professor Amanda Knecht, Villanova University

Friday, November 9, 2012

**Title: Stories of Probabilities** **- some (perhaps) non-intuitive results in probability and geometry**

Dr. Charles Grinstead, Swarthmore College

Friday, September 28, 2012

**Title: The Turn of the Screw: The History and Optimal Design of an Archimedes Screw**

Chris Rorres, University of Pennsylvania and Drexel University

### Fall 2011 - Spring 2012

Friday, April 13, 2012

**Title: Mathematical modeling, transmission dynamics and control of antibiotic-resistant infections**

Dr. Mo Yahdi, Ursinus University

Friday, February 11, 2012

**Title: A Two-Parameter Pareto Model for Income Distributions**

Dr. Klaus Volpert, Villanova University

Friday, February 3, 2012

**Title: Are you sure that's an ellipse? Poncelet ellipses, Blaschke products, and other mathematical short stories**

Dr. Pam Gorkin, Bucknell University

###

Friday, December 9, 2011

**Title: Complexity and Chaos In Medieval Cartography**

John Hessler, Geography & Map Division, Library of Congress

Friday, November 11, 2011

**Title: Divergence of infinite series on Hecke groups of large width (with a side of Fibonacci**)

Dr. Paul Pasles, Villanova University

Friday, October 28, 2011

**Title: Rational Points on Logical Varieties over Sensible Fields**

Dr. Amanda Knecht, Villanova University

### Fall 2010 - Spring 2011

Tuesday, April 26, 2011

**Title: Pi Mu Epsilon Talk**

Dr. Tony Rothman, Princeton University

Friday, April 15, 2011

**Title: A invitation to MAGMA**

Jennifer Paulus & Amanda Knecht, Villanova University

Friday, April 1, 2011

**Title: Scaled Average Bioequivalence**

Scott Patterson, Pfizer University

Friday, March 25, 2011

**Title: A Tale of Two Theorems: Calibrating Mathematical Complexity**

Joseph Mileti, Grinnell College

Friday, March 18, 2011

**Title: TBA**

Matt Devos, Simon Fraser University

Friday, February 11, 2011

**A Two-Parameter Pareto Model for Income Distributions**

Klaus Volpert, Ph.D Villanova University

Tuesday, December 7, 2010

**ll-posed Evolution Problems**

Matthew Fury, Ph. Penn State University

Tuesday, November 9, 2010

**The Mathematics of Knots and Tangles**

Philipp Yasskin, Ph.D.

Friday, October 22, 2010

**Mathematics In Service Of Puzzle-Solving**

Andrew Woldar, Ph.D. Villanvoa University

Friday, September 24, 2010

**How Math Made Modern Music Mad Irrational**

David Kung, Ph.D.

Friday, March 26, 2010

**Water, water, everywhere, but is it safe to drink?**

Ben Galluzzo, Ph.D.

Friday, January 29, 2010

**A Thorough QTc Testing in Bio-Pharmaceutical Development**

Scott Patterson, Ph.D.

Tuesday, December 8, 2009

**A Class of Partially Replicated Two-Level Fractional Factorial Designs**

Paul Lupinacci, Ph.D.

Friday, November 13, 2009

**The Possibility of Detailed Medical Imaging of Soft tissue with Long Wavelength Radiation, Diagnosis and Therapy Concepts.**

David Cohoon, Ph.D.

Thursday, October 22, 2009

**Self-organization and power-law clustering in seafloor animals: the spatial ecology of mussel beds in Maine**

John Commito, Ph.D.

Tuesday, Sept 22, 2009

**The existence of elliptic periodic orbits in the smoothed Bunimovich Stadium**

Sherry Teti, Ph.D.

### Fall 2008 - Spring 2009

Friday, May 1, 2009

**Diophantine geometry of Appollomian packings**

Peter Sarnak, Ph.D.

Friday, April 28, 2009

**Complex Functions with Cantor or connected Julia Sets**

Lorelei Koss, Ph.D.

Friday, April 24, 2009

**Non-Unique Factorization **

Patrick Cesarz '09

Friday, February 27th, 2009

**Making Valid Inferences in Observational Studies using Propensity Score Analysis**

Michael Posner, Ph.D.

Friday, February 13th, 2009

**Starlike Univalent Functions**

Frederick Hartmann, Ph.D.

Friday, February 6th, 2009

**Quality, Time, And Cost Relationships in Project Scheduling**

Bruce Pollack-Johnson, Ph.D

Friday, January 30th, 2009

**Geometric and Graph Issues in Wireless Networks**

Mirela Damian, Ph.D.

Tuesday, December 9th, 2008

**Letting the Cat out of the bag**

Timothy Feeman, Ph.D

Friday, October 31st, 2008

**New Nonparametric Tests for Equivalence**

Jesse Frey, Ph.D

### Fall 2007 - Spring 2008

Friday, April 4th, 2008

**Generalizing Polyhedra: Beyond Convexity**

Gordon Williams, Ph.D.

Friday, March 14, 2008

**Fundamentals of Magnetic Resonance Imaging**

Joseph McGowan, Ph.D.

Friday, February 8, 2008

**What Caused the Permian Extinction**

__Steve C. Wang__, Ph.D.

Tuesday, December 11, 2007

**Benjamin Franklin's Numbers**

Paul Pasles, Ph.D.

Friday, November 30, 2007

**Pricing Methods for Financial Derivatives**

Klaus Volpert, Ph.D.

Friday, October 26, 2007

**Natural Generalizations of Bernoulli Numbers**

Abdul Hassen, Rowan University

Monday, October 1, 2007

**DNA Nano Structures**

Jo Ellis-Monaghan, St. Michael's College