Section NExT LectureFrank Ford, Providence CollegeKeeping Active in Your Section## Abstract and BioAlthough the young faculty member has to
research and teach, service is usually part of the requirements for
tenure. A rewarding way to fulfill part
of this service requirement is to give time to your section of the MAA. You get more than you give. Bio: Frank Ford has been at Providence College since
1980. Last year, he was honored with the
Distinguished Service award of the Northeastern Section of the MAA. He has been
Chair of the Section, web master for the Section and is still Newsletter
Editor. He has hosted the MAA at PC
three times, hosted the CCSCNE regional meeting twice, was department chair for
13 years, Secretary of the Faculty Senate for 13 years and President of the Faculty
Senate for four years. He is happy to
say that during his time as Section Chair, he helped establish the Battles
Lecture to honor his predecessor as Newsletter Editor. Timothy Woodcock, Stonehill CollegeDouble Counting: The Fundamental Principle of Combinatorics## Abstract and BioIn this talk, we shall examine the power of double counting as a tool for developing summation identities. For instance, we shall see that the formula may be realized via simple combinatorial interpretation. More generally we will investigate the reduction of where m is an arbitrary positive integer. We will also take up sums having the form Bio:
Timothy Woodcock is an Assistant Professor of Mathematics at Stonehill College in Easton, Massachusetts. He is also alumnus of Stonehill College, graduating in 1993, and holds a Ph.D. in mathematics from the University of Virginia. He lives in Sutton, Massachusetts, with his wife and two children.Oliver Knill,Harvard UniversityAbout Some Differential Geometric Problems in Graph Theory## Abstract and BioResults like Green-Stokes, Gauss-Bonnet, Poincare-Hopf or Lefschetz-Brouwer have discrete counter parts in graph theory which are surprisingly easy to formulate and prove. As I myself learned from puzzle collection books like Gardner's books and columns, as well as by my teachers in college, it is in general possible to take virtually any known result or open problem in the continuum and look for discrete analogs. Puzzle and recreational mathematics fans know that this leads to a treasure trove of problems in the discrete which can be explored also experimentally and without much technique. Similar to many puzzle problems collected and maintained by editors honored in this meeting, these "elementary" problems are accessible by a larger audience. While open problems are the motor which drives new mathematics, simple open problems can spark the interest of young mathematicians. I myself got hooked on mathematics because of problem columns in journals for the more general public. In this talk the theme is illustrated with mostly unexplored curvature, coloring, complexity, variational and spectral problems for graphs. Bio: Oliver Knill got his BA and PhD in mathematics at the Swiss Federal Institute of Technology in Switzerland. Since 2000, he has been a preceptor in the mathematics
department at Harvard. Prior to coming to Harvard, Knill taught for three years
at Caltech in Pasadena, for one year at the University of Arizona in Tucson,
and spent three years in Austin on a research fellowship at the University of
Texas. Knill started his research in the field of dynamical systems and
spectral theory, but more recently it has shifted to applications of dynamical
system theory to probability theory, analysis, geometry, computer vision and
graph theory. In mathematics education, Knill's focus is on
the use of technology for teaching and learning. Banquet SpeakerTanya Khovanova, MITFreelance Mathematician, Blogger Manhole Covers and Complex Geometry## Abstract and BioWhy are manhole covers round? Bring your answer to this famous
interview question. We will use manhole covers as a starting point to discuss
some modern research in convex geometry.
Distinguished Teacher LectureMargaret Robinson, Mount Holyoke CollegeCounting fixed points of the discrete exponential function modulo powers of a prime## Abstract and BioIn this talk, I will focus on counting solutions to equations modulo powers of a prime number. For several polynomials, we will consider these cardinalities and show they fit together to form a generating function. I also hope to talk a little about work that Joshua Holden (Rose-Hulman Institute of Technology) and I have done to count fixed points of the discrete exponential function modulo powers of a prime. The talk will finish with the tantalizing conjectures surrounding these generating functions and how they relate to local zeta functions. Bio:Margaret Robinson has been teaching at Mount
Holyoke College in South Hadley, Massachusetts since 1987. Her undergraduate
degree was from Bowdoin College (1979) in Mathematics and German and both her
MA and PhD are from Johns Hopkins University (1986). Her research area is in
number theory. She gave an undergraduate course on zeta functions at the IAS
Women's Program and has taught for two summers at Carleton College's Summer
Math Program (SMP) for sophomore women in mathematics. She has also supervised
7 summer research groups in Mount Holyoke's Summer REU program. Last June she
was very honored to be awarded the NES MAA award for Distinguished Teaching. Christie LectureClayton Dodge, University of MaineProfessor Emeritus Reflections of an old problems editor## Abstract and BioSome interesting problems and experiences I have seen during my life as a problemist and afterwards, too. Bio: Clayton W. Dodge is Professor Emeritus of Mathematics at the University
of Maine. In 2001 he received the C. C. MacDuffee Award for Distinguished
Service to Pi Mu Epsilon, the national mathematics honor society. He had served
as the problem department editor of their journal for 20 years. His editing
work started with assisting Howard Eves in the American Mathematical Monthly’s Elementary
Problem Department. He has written six textbooks, including Euclidean Geometry and Transformations
(Dover, 2004). In 1995 the MAA bestowed on Clayton the Howard Eves award
for his outstanding contributions to the Northeastern Section. His mathematical interests include geometry, problems, teacher
education, and number theory. Since retirement he has helped build houses for
the local chapter of Habitat for Humanity and has served on its board of
directors. Currently he is a Maine Troop Greeter at the Bangor airport and the
collector for his local church. Panel DiscussionProblems, Problems, EverywherePanelistsDr. Pat Costello, Eastern Kentucky UniversityDr. Harold Reiter, University of North Carolina at CharlotteDr. Derek Smith, Lafayette College## Abstract and BioWhat is it like to be an editor for the Problem
Section of a mathematics journal? Who are these generally unsung heroes who
keep these sections going? Exactly how burdensome is it? Are they
universalists? Have they been inspired by some problem submissions in their own
mathematical endeavors? Come hear our experts, all current editors of
journals aimed at undergraduates, and join in the discussion! Bios Pat Costello received his BS from Harvey Mudd and his PhD in
quadratic forms from Ohio State. He has been teaching mathematics and computer
science at Eastern Kentucky University for many years. He is active in Kappa Mu
Epsilon, a national mathematics honor society. He is the problem editor of this
society’s journal, The Pentagon, and received the George R. Mach Distinguished Service Award at the Kappa Mu Epsilon national convention in 2011. He also received the 2008 Award for Distinguished College or University Teaching of Mathematics by the Kentucky Section of the MAA.Dr. Pat Costello: Dr. Harold Reiter: Harold Reiter is a professor of mathematics at UNC Charlotte.
With his daughter, Ashley Ahlin, he edits the problems section of the Pi Mu
Epsilon journal. This October Harold was named the University of North Carolina system winner of the faculty service award for more than forty years of community service including the founding of two math circles and a teachers circle. Derek Smith is a professor of mathematics at Lafayette
College (PA). He edits the problem department Dr. Derek Smith:The Playground of the MAA
journal Math Horizons and is co-author (with John Horton Conway) of the
book On Quaternions and Octonions.In 2003, he received the Jones Faculty Lecture Award for Excellence in Teaching and Scholarship from Lafayette College. He also was awarded Lafayette's Marquis Distinguished Teaching Award in 2010. |

### Invited Speakers

Section NExT LectureFrank Ford, Providence CollegeKeeping Active in Your SectionTimothy Woodcock, Stonehill CollegeDouble Counting: The Fundamental Principle of CombinatoricsOliver Knill,Harvard UniversityAbout Some Differential Geometric Problems in Graph TheoryBanquet SpeakerTanya Khovanova, MITFreelance Mathematician, Blogger Manhole Covers and Complex Geometry
Distinguished Teacher LectureMargaret Robinson, Mount Holyoke CollegeCounting fixed points of the discrete exponential function modulo powers of a primeChristie LectureClayton Dodge, University of MaineProfessor Emeritus Reflections of an old problems editorPanel DiscussionProblems, Problems, EverywherePanelistsDr. Pat Costello, Eastern Kentucky UniversityDr. Harold Reiter, University of North Carolina at CharlotteDr. Derek Smith, Lafayette College |