Department of Mathematics Facts

Department Faculty Size
  • We currently have 8 full time faculty members.
  • In addition, we have 6 part-time faculty members.
Approximate Class Sizes
  • Introductory Level: 20 - 30 students
  • Intermediate Level: 15 - 25 students
  • Upper Level: 10 - 20 students
College Student Selectivity
  • Our student body has approximately 2600 students.
  • The average combined SAT score is near 1300.
  • 71% of incoming students were in the top ten percent of their high school class.
Math Majors and Minors
  • We typically graduate 15-20 math majors and 10 – 12 math minors each year.
  • Many of our students are involved in independent research projects under faculty supervision. All math majors are required to do a senior thesis.
  • Each faculty member teaches 5 courses per year.
  • Faculty members have the opportunity to teach seminar courses, interdisciplinary courses, and team taught courses as part of their regular teaching load.
  • College provides support, both financial and otherwise, for new and innovative teaching through the Johnson Center for Creative Teaching and Learning.
  • Student assistants conduct help sessions and operate a drop-in tutoring center.
  • Calculus courses use the WebAssign online homework system.
Extracurricular Activities For Our Students
  • We participate in the William Lowell Putnam Mathematics Competition and the COMAP Mathematical Contest in Modeling.
  • Several students each year give talks at conferences including the Joint Meetings, the MAA sectional conferences, and other regional conferences.
  • We host a popular Mathematics Colloquium, featuring speakers from places such as the US Naval Academy, Bucknell University, Haverford College, Courant Institute, Penn State, and the NSA
  • Department supports research-related travel with an annual travel allowance.
  • Tenure-track faculty have the opportunity to take a one-semester pre-tenure sabbatical with full pay during their third or fourth year.
  • College supports research-related travel and a wide variety of other research activities with several generous internal grant programs.
Where Some of Our Recent Graduates Have Been Since Graduation
  • Graduate programs in mathematics and applied mathematics
  • Teaching high school mathematics throughout the state of Pennsylvania and the entire region.
  • Working with continuing care retirement centers as an actuary.
  • Working as an operations research analyst with the Air Force.
  • Working at the National Security Agency.
  • In mathematics graduate programs such as: University of Wisconsin-Madison, North Carolina State University, Wake Forest, Duquesne University, and Cornell.
  • Teaching mathematics and mentoring at-risk teenagers in Fort Smith, Canada, in the Western Arctic Leadership Program.
  • Institutional Consultant at Lord, Abbett Investment Management
  • Software developers at various internet companies.
  • Each faculty member receives a computer with the latest version of appropriate mathematics software.
  • Campus has ubiquitous wireless internet access.
  • All classrooms include state of the art computer and projection systems.
  • Both the college and the Math Department are deeply committed to fostering diversity in all parts of the Gettysburg College community.
  • Faculty benefit package includes domestic partner benefits and substantial financial support for H-1 B visa and green card applications.
  • Shared faculty appointments are possible.
About Gettysburg, PA
  • The town has a population of 7500 people and is the county seat of Adams County.
  • The town is visited by several million tourists annually.
  • Many buildings in town are historic landmarks and are over two hundred years old.
  • Gettysburg has several fine restaurants and independent coffee houses.
  • Town is surrounded by a large National Park, with opportunities for outdoor activities.
  • Gettysburg is about an hour from Baltimore and an hour and a half from Washington. Many faculty, particularly dual-career couples, live close to these metropolitan areas.
  • Gettysburg is within easy drive from several state parks, the Appalachian Trail, ski resorts, river rafting opportunities, and lakes with beaches.

Faculty and Selected Publications

Bela Bajnok

Alumni Professor
Ph.D. The Ohio State University (1989)
M.Ed. Eotvos University (1984)
Research Interests: Combinatorics, Additive Number Theory, Approximation Theory.
Prior Teaching Experience: Cornell University, Eotvos University, Ohio State University, Pomona College,
University of Houston-Downtown.
He has over 20 refereed publications, including:

  • Bounds for the Number of Nodes in Chebyshev-type Quadrature Formulas. J. Approx. Theory 67 (1991) no. 2, 199-214 (with P. Rabau).
  • Construction of Spherical t-Designs. Geom. Dedicata 43 (1992) no. 2, 167-179.
  • On Uniform f-Vectors of Cutsets in the Truncated Boolean Lattice. Combinatorica 20 (2000) no. 1, 1-14 (with S. Shahriari).
  • A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres. Computing 68 (2002) no.2, 97-109 (with S. B. Damelin, J. Li, and G. L. Mullen).
  • The Spanning Number and the Independence Number of a Subset of an Abelian Group. In Number Theory, D. Chudnovsky, G. Chudnovsky, and M. Nathalson (Ed.), Springer-Verlag (2004), 1-16
  • “An Invitation to Abstract Mathematics” Undergraduate Texts in Mathematics, Springer, New York, May 2013.

Beth Campbell Hetrick

Assistant Professor
Ph.D. Bryn Mawr College (2006)
M.A. Bryn Mawr College (2002)
B.S. Villanova University (2000)
Research Interests: Operator Theory, Functional Analysis.
Prior Teaching Experience: Penn State Harrisburg, Bryn Mawr College

  • Continuous Dependence Results for Inhomogeneous Ill – Posed Problems in Banach Space, Journal of Math. Anal. Appl. 331, (2007) No. 1 (with R. Hughes)
  • Regularization of the backward heat equation via heatlets, Electron. J. Differential Equations 2008 (2008), 1 -- 8. (with R. Hughes and E. McNabb)
  • Continuous dependence on modeling for nonlinear ill-posed problems, J. Math. Anal. Appl. 349 (2009), 420--435. (with R. Hughes)
  • Quasireversibility for Inhomogeneous Ill-Posed Problems in Hilbert Space, Eighth Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Differential Equations, Conf. 19 (2010), 37–44.

Ricardo Conceição

Assistant Professor
Ph.D. University of Texas at Austin (2009)
M.Sc. Federal University of Pernambuco - Brazil (2003)
Bachelor, State University of Feira de Santana  - Brazil (2000)
Research Interests: Number Theory, Arithmetic Geometry, Arithmetic of Elliptic Curves, Arithmetic of             Curves over Finite Fields, Arithmetic of Function Fields, Value Sets of Polynomials over Finite Fields
Prior Teaching Experience: Oxford College of Emory University, University of Texas at Austin, Federal University of Pernambuco (UFPE), Brazil

  • “Solitary Wave and Shock Wave Solutions of the Variants of Boussinesq Equations,” University Politechnica of Bucharest: Scientific Bulletin: Series A; Applied Mathematics and Physics, to appear (With H. Triki and A. Biswas)
  • “Memory Effects for the Heat Conductivity of Random Suspensions of Spheres, Proceedings of the Royal Society A, No. 466, 3253–3273, 2010 (With C.I. Christov).
  • “Fast Legendre Spectral Method for Computing the Perturbation of a Gradient Temperature Field in an Unbounded Region due to the Presence of Two Spheres,” Numerical Methods for Partial Differential Equations, No. 26, 1125–1145, 2010, (With C.I.Christov).
  • “Soliton Solutions, Conservation Laws and Reductions of certain classes of Nonlinear Wave Equations,” Zeitschrift fr Naturforschung A, No. 67a: 613–620, 2012, (With A. H. Kara, R. Morris and A. Biswas).
  • “Singular Solitons and Numerical Analysis of Phi–four Equation,” Mathematical Sciences No. 6:42, 2012 (With A. Biswas).

Darren Glass

Associate Professor
Ph.D. University of Pennsylvania (2002)
B.A. Rice University (1997)
Research Interests: Galois Theory, Algebraic Geometry, Cryptography
Prior Teaching Experience: Columbia University, University of Pennsylvania

  • ε-Constants and Orthogonal Representations, Compositio Mathematica Volume 140 (2004), No 5.
  • Hyperelliptic Curves with Prescribed p-torsion, Manuscripta Mathematica Volume 117 (2005), No 3 (with R. Pries)
  • Quasigeometric Distributions and Extra Innings Baseball Games, Mathematics Magazine Volume 81 (2008), No 3 (with P. Lowry)
  • Galois structure and De Rham invariants of Elliptic Curves , Journal of Number Theory Volume 129 (2009), No 1 (With S. Kwon)
  • Non-genera of Curves with Automorphisms in Characteristic p, in Computational Algebraic and Analytic Geometry, Contemporary Mathematics, vol. 572, Amer. Math. Soc. (2012)
  • Pointless Hyperelliptic Curves, Finite Fields and Their Applications, Vol. 21 (2013) (With R. Becker ’13)

Benjamin Kennedy

Assistant Professor
Ph.D. Rutgers University (2007)
MST Boston College (2000)
B.A. Swarthmore College (1998)
Research Interests: Functional Differential Equations and Dynamical Systems
Prior Teaching Experience: Rutgers University, Boston College

  • Periodic Solutions of Delay Equations with Several Fixed Delays, Differential and Integral Equations 22 (2009), 679-724.
  • (With Aaron Hoffman) Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations, Discrete and Continuous Dynamical Systems A 30 (2011), 137-167.
  • Multiple periodic solutions of an equation with state-dependent delay, Journal of Dynamics and Differential Equations 23 (2011), 283-313.
  • Multiple periodic solutions for state-dependent threshold delay equations, Discrete and Continuous Dynamical Systems A 32 (2012), 1801-1833.
  • Stability and instability for periodic solutions of delay equations with `steplike’ feedback, Electronic Journal of Qualitative Theory of Differential Equations, Proceedings on the 9th Colloquium on the Qualitative Theory of Differential Equations, No. 8, 1—66.
  • A state-dependent delay equation with negative feedback and 'mildly unstable' rapidly oscillating periodic solutions, Discrete and Continuous Dynamical Systems Series B, Special Issue on Deterministic and Stochastic Dynamical Systems with Delays, 1633-1650.
  • Symmetric periodic solutions for a class of differential delay equations with distributed delay, Electronic Journal of Qualitative Theory of Differential Equations, No 4 (2014), 1-18.

Keir Lockridge

Assistant Professor
Ph.D. University of Washington (2006)
B.A. Rice University (1999)
Research Interests: Ring theory (e.g., homological dimension) of structured ring spectra arising in algebraic
topology. Analogues of Freyd's generating hypothesis, a fundamental conjecture in
stable homotopy theory, in derived and triangulated categories.
Prior Teaching Experience: Wake Forest University, Wesleyan University, University of Washington

  • Homological dimensions of ring spectra, with Mark Hovey. Homol. Homotopy Appl.Vol. 15 (2013), No. 2, 53-71.
  • The ghost and weak dimensions of rings and ring spectra, with Mark Hovey. Israel J. Math. 182 (2011), no. 1, 31-46.
  • Semisimple ring spectra, with Mark Hovey. New York J. Math. 15 (2009) 219{243.
  • The ghost dimension of a ring, with Mark Hovey. Proc. Amer. Math. Soc. 137 (2009), 1907{1913.
  • The generating hypothesis in the derived category of a ring, with Mark Hovey and Gena Puninski. Math. Z., 256 (2007), no. 4, 789{800.
  • The generating hypothesis in the derived category of R-modules. J. Pure Appl. Algebra, 208 (2007), no. 2, 485{495.

Kimberly Spayd

Assistant Professor
Ph.D. University of North Carolina, Raleigh (2012)
M.S. University of North Carolina, Raleigh (2009) M.S. University of North Carolina, Chapel Hill (2004)
B.S. University of Notre Dame (2001)
Research Interests: Analysis and numerical simulation of partial differential equations, flow in porous media
Prior Teaching Experience: North Carolina State University, Wake Technical Community College, University of North Carolina

  • K. Spayd and M. Shearer, The Buckley-Leverett Equation with Dynamic Capillary Pressure, SIAM Journal on Applied Mathematics 71 (4), pp. 1088-1108, 2011.
  • K. Spayd, M. Shearer, Z. Hu, Stability of Plane Waves in Two Phase Porous Media Flow, Applicable Analysis 91 (2), pp. 295-308, 2011.

Charles Wessell

Assistant Professor
Ph.D. North Carolina State University (2011)
M.S. North Carolina State University (1989)
B.S. North Carolina State University (1985)
Research Interests: Numerical Linear Algebra, Data Clustering, Ranking Theory, Math and Sports
Prior Teaching Experience: North Carolina State University, Davidson College, Durham Technical Community College

  • Stochastic Consensus Clustering, Proceedings of the 6th International Workshop on Numerical Solutions of Markov Chains, 2010 (with Carl D. Meyer).
  • A Nonnegative Analysis of Politics, Math Horizons 18 (2011), No. 4, 10-13 (with Tim Chartier).
  • Stochastic Data Clustering, SIAM Journal on Matrix Analysis and Applications, 33.4 (2012): 1214-1236.
  • 270: How to Win the Presidency with Just 17.56% of the Popular Vote, Math Horizons 20 (2012), No. 1, 18-21.