# Thomas L. Pirnot Lecture in Mathematics

## Pirnot Lecture

The Pirnot Lecture Series is named in honor of Dr. Tom Pirnot. Dr. Pirnot served as a Kutztown Mathematics professor from 1970-2008.

## Pirnot Lecture

The 2019 Pirnot Lecture was given by Dr. Karen McCready of King's College.

## Pirnot Lecture

The 2018 Pirnot Lecture was given by Dr. Steve Butler of Iowa State University.

## Pirnot Lecture

The 2016 Pirnot Lecture was given by Dr. Liz McMahon and Dr. Gary Gordon of Lafayette College.

## Pirnot Lecture

The 2015 Pirnot Lecture was given by Dr. Neil Sloane, founder of the On-Line Encyclopedia of Integer Sequences

## Pirnot Lecture

The 2014 Pirnot Lecture was given by Dr. Derek Smith of Lafayette College.

##### 2019 - 12^{th }Annual Thomas L. Pirnot Lecture in Mathematics

Wednesday, April 17, 2019 at 5:00 p.m. in Boehm Hall 262

*"When You Can't Believe Your Eyes: A Look at The Mathematics of M. C. Escher"*

**Dr. Karen McCready, Assistant Professor of Mathematics, King's College of Pennsylvania**

**Abstract:**

Maurits Cornelis Escher was a twentieth century Dutch artist. Referred to as a "thinking artist," he is known for his mathematically themed work, although he was not himself a mathematician.

We will look at some of the ideas that appear throughout his work that intrigued and inspired mathematicians. This includes explorations of infinity, symmetry, perspective, and the portrayal of impossible figures.

We will also consider some of his pieces that depict tessellations and non-Euclidean geometries.

##### 2018 - 11^{th }Annual Thomas L. Pirnot Lecture in Mathematics

Tuesday, April 17, 2018 at 4:00 p.m. in Boehm Hall 262

*"An Introduction to the Mathematics of Juggling"*

**Dr. Steve Butler, Department of Mathematics, Iowa State University**

**Abstract:**

Juggling and mathematics have both been done for thousands of years, but the mathematics of juggling is a relatively new field that dates back a few decades and looks at using the tools of mathematics to analyze, connect, and count various juggling patterns.

We will introduce some of the very basic results related to the mathematics of juggling with a particular emphasis at looking at the various methods used to describe juggling patterns. A few "practical" applications will also be demonstrated.

##### 2017 - 10^{th }Annual Thomas L. Pirnot Lecture in Mathematics

The 2017 Pirnot Lecture was held in conjunction with the EPaDel (Eastern Pennsylvania and Delaware Section of the Mathematical Association of America) section meeting hosted by Kutztown University on April 1.

**2016 - ****9**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

Thursday, April 14, 2016 at 4:00 p.m. in Boehm Hall 260

*"The Joy of SET®: The Mathematics In a Card Game"*

**Dr. Elizabeth McMahon and Dr. Gary Gordon, Lafayette College**

**Abstract:**

The card game SET® is played with a special deck of 81 cards. There is quite a lot of mathematics that can be explored using the game. We’ll look at questions in combinatorics, probability, linear algebra, and especially geometry. The deck is an excellent model for a 4-dimensional finite affine geometry. If you’d like some practice before the talk, go to www.setgame.com for the rules and a Daily Puzzle.

**2015 - 8**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

^{th}

Friday, April 10, 2015 at 6:15 p.m. in Boehm Hall 145 (part of the PASSHE Mathematics Association conference hosted by Kutztown University)

*"My Favorite Integer Sequences, or, Confessions of a Sequence Addict"*

**Neil J.A. Sloane, Ph.D., Founder of the On-Line Encyclopedia of Integer Sequences (OEIS) and President of the OEIS Foundation**

**Abstract:**

The On-Line Encyclopedia of Integer Sequences (or OEIS, oeis.org) is a free web site that contains information about a quarter of a million sequences, and is often called one of the most useful mathematical sites on the Web. I will discuss some of my favorites, including the van Eck, Zizka, Fredkin, Quet, Kelly, Yellowstone, etc. sequences. There will be music, movies, and a number of unsolved problems. Warning: some of these may prevent you sleeping at night.

**2014 - 7**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

^{th}

Wednesday, March 12, 2014 at 5:00 p.m. in Boehm Hall 260

*"Pondering Packing Puzzles: Research in Recreational Mathematics"*

**Derek Smith, Ph.D., Associate Professor of Mathematics, Lafayette College**

**Abstract:**

Here's a puzzle for you: Is it possible to assemble six 1x2x2 blocks and three 1x1x1 blocks into a 3x3x3 cube? If so, in how many ways can this be done?

Don't look up the solution! Try to figure this out on paper or with a model first. But let me tell you that this is the Slothouber-Graatsma-Conway Puzzle, often called the smallest non-trivial 3-dimensional block-packing puzzle.

I will describe an infinite family of packing puzzles that includes the Slothouber-Graatsma-Conway Puzzle, and I will prove a nice result about them. I will also introduce you to Burr Tools, a cool computer program that helps with investigations of packing and other types of puzzles.

**2013 - 6**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

^{th}

Wednesday, March 26, 2013 at 3:30 p.m. in McFarland Student Union Building 250

*"Cantor and the Paradise He Gave Us"*

**Robert Vallin, Ph.D., Professor of Mathematics, Slippery Rock University of Pennsylvania**

**2012 - 5**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

^{th}

Tuesday, March 27, 2012 at 5:00 p.m. in Boehm Hall 261

*"Adventures with The Moore Method as a Student and Teacher," a MILK Lecture*

**Dr. E. Lee May, Distinguished Professor of Mathematics, Salisbury University**

**2011 - 4**^{th} Annual Thomas L. Pirnot Lecture in Mathematics

^{th}

Thursday, March 3, 2011 at 11:00 a.m. in Lytle Hall 214

*"Solving Differential Equations Numerically Using Steepest Descent" *

**Dr. W. Ted Mahavier, Professor of Mathematics, Lamar University of Texas**

**Abstract:**

We demonstrate a method for solving differential equations numerically by

recasting them as integral equations and then applying steepest descent to obtain

a solution. For example, to solve y′ = y without a boundary condition, one might

let φ(y) = _{0}∫^{1 }(y′(t) − y(t))^{2} dt and seek out a function y so that φ(y) = 0.

For many years it has been known that applying steepest descent based on

the Euclidean norm is inefficient (disastrous) but that changing the norm on our

space can result in obtaining solutions very quickly. We will give an outline of

this process with lots of arm waving and simplifications while addressing the recent

research by a graduate student that shows that if the perfect norm is chosen, one

can expect convergence to a solution after one numerical iteration!

**2010 - 3**^{rd} Annual Thomas L. Pirnot Lecture in Mathematics

^{rd}

Tuesday, April 13, 2010 at 3:30 p.m. in Lytle Hall 228

*"A Tribute to Euler" *

**Dr. William Dunham, the Truman Koehler Professor of Mathematics, Muhlenberg College**

**Abstract: **

Among history’s greatest mathematicians is Leonhard Euler (1707-1783), the Swiss genius who produced an astonishing 25,000 pages of pure and applied mathematics of the very highest quality.

In this talk, we sketch Euler’s life and describe a few of his contributions to number theory, algebra, and other branches of mathematics. Then we examine a particular Eulerian theorem: his simple but beautiful proof that there are as many ways to decompose a whole number into the sum of distinct summands as there are ways to decompose it into the sum of (not necessarily distinct) odd summands.

Condorcet, in his Eulogy to Euler, wrote that “All mathematicians now alive are his disciples.” It should be clear to those who attend the Pirnot Lecture that these words are as true today as when they were first set down over two centuries ago.

**2009 - 2**^{nd} Annual Thomas L. Pirnot Lecture in Mathematics

^{nd}

Tuesday, April 14, 2009 at 3:30 p.m. in Lytle Hall 228

*"Ramsey's Theorem: The Extremal Limits of Party Planning" *

**Dr. Michael Picollelli, Assistant Professor of Mathematics, Department of Mathematics, LaFayette College**

**Abstract: **

Out of any six people, there are three mutual acquaintances or three mutual strangers.” This simple-looking statement may appear as little more than a recreational problem for mathematics contests (where it did once appear).

In fact, it is the very tip of a mathematical iceberg known as Ramsey Theory, a field which has played a pivotal role in the development of

modern combinatorics.

In this talk, we will explore the fundamental result in this area,

Ramsey’s Theorem, which guarantees, among other things, that a large

enough party will be very good or very bad.

**2008 - 1**^{st} Annual Thomas L. Pirnot Lecture in Mathematics

^{st}

Tuesday, April 15, 2008 at 3:30 p.m. in Boehm Hall Room 260

*" A Weierstrass Quartet: Four Ideas from the Father of Modern Analysis"*

**Dr. Jerry King, Professor Emeritus, Lehigh University**

**Abstract: **

The talk will examine four Weierstrass ideas and discuss briefly where

in mathematics each idea might lead.

They are:

(1) the construction of an everywhere continuous, nowhere differentiable function which takes many of us away from real analysis and leads some of us to Brownian motion, fractals, chaos, or wavelets.

(2) The Approximation Theorem which is the foundation of modern approximation theory and connects this subject with both probability theory and the theory of summability.

(3) ”There is nothing but power series” - a statement and a theory which reduces complex analysis to a kind of high-toned arithmetic.

(4) ”A mathematician who is not also something of a poet will never be a complete mathematician” - a philosophy that yields both a model for mathematics and a way of teaching.