Darren GlassCurriculum Vitae

300 N. Washington StreetGettysburg, PA 17325

T 717.337.6635u 717.337.8458

B dglass@gettysburg.eduÍ www.gettysburg.edu/ dglass

Education2002 Ph.D. in Mathematics, University of Pennsylvania, Advisor: Ted Chinburg.

Dissertation Title: Orthogonal Epsilon Constants for Finite Tame Group Actions on Surfaces2000 M.A. in Mathematics, University of Pennsylvania.1997 B.A. in Mathematics & Mathematical Economics, Rice University.1993 High School, The Paideia School.

Experience2009 - now Associate Professor and Department Chair, Gettysburg College.2005-2009 Assistant Professor, Gettysburg College.2002-2005 VIGRE and Ritt Assistant Professor, Columbia University.1997-2002 Teaching Assistant and Graduate Instructor, University of Pennsylvania.1994-1997 Grader and TA, Rice University.

Courses Taught{ Mathematical Ideas { Cryptography{ Game Theory { Groups and Symmetry{ Calculus I, II, III { Linear Algebra{ Abstract Mathematics { Number Theory{ Abstract Algebra { Coding Theory{ Combinatorial Number Theory { Algebraic Number Theory{ Combinatorics

Research ArticlesChutes and Ladders with Large Spinners. College Mathematics Journal, to appear,2014 (with D. Connors).

A Frobenius question related to actions on curves in characteristic p. Glasg.Math. J., 56(1):143–148, 2014.

Compositions of integers with bounded parts. Integers, 14(A6), 2014.

Critical groups of graphs with dihedral actions. European J. Combin., 39:95–112,2014 (with C. Merino).

Pointless hyperelliptic curves. Finite Fields Appl., 21:50–57, 2013 (with R. Becker).

A First Year Seminar on Cryptography. Cryptologia, 37(4):305–310, 2013.

Coble and Eisenhart: two Gettysburgians who led mathematics. NoticesAmer. Math. Soc., 60(5):558–566, 2013.

The secretary problem from the applicant’s point of view. In Martin Gardnerin the 21st Century, 243–248. Mathematical Association of America Press, WashingtonDC, 2013.

Communal partitions of integers. Integers, 12(3):405–416, 2012.

Non-genera of curves with automorphisms in characteristic p. In Computa-tional algebraic and analytic geometry, volume 572 of Contemp. Math., 89–95. Amer.Math. Soc., Providence, RI, 2012.

The secretary problem from the applicant’s point of view. College Math. J.,43(1):76–81, 2012.

Curve Interpolation and Coding Theory. Journal of Undergraduate Mathematicsand its Application, 31(3):189–196, 2010.

Codes from Riemann-Roch spaces for y2 = xp − x over GF (p). Int. J. Inf.Coding Theory, 1(3):298–312, 2010 (with D. Joyner and A. Ksir).

Addendum to Hyperelliptic curves with prescribed p-torsion. ManuscriptaMath., 133(3-4):545–546, 2010 (with R. Pries).

The 2-ranks of hyperelliptic curves with extra automorphisms. Int. J. NumberTheory, 5(5):897–910, 2009.

Galois structure and de Rham invariants of elliptic curves. J. Number Theory,129(1):1–14, 2009 (with S. Kwon).

Curves of given p-rank with trivial automorphism group. Michigan Math. J.,56(3):583–592, 2008 (with J. D. Achter and R. Pries).

Quasigeometric distributions and extra inning baseball games. Math. Mag.,81(2):127–137, 2008 (with P. J. Lowry).

Klein-four covers of the projective line in characteristic two. Albanian J. Math.,1(1):3–11, 2007.

Brauer group invariants associated to orthogonal epsilon-constants. Bull.London Math. Soc., 37(2):172–178, 2005.

On the moduli space of Klein four covers of the projective line. In Compu-tational aspects of algebraic curves, volume 13 of Lecture Notes Ser. Comput., 58–70.World Sci. Publ., Hackensack, NJ, 2005 (with R. Pries).

Hyperelliptic curves with prescribed p-torsion. Manuscripta Math., 117(3):299–317, 2005 (with R. Pries).

Epsilon constants and orthogonal representations. Compos. Math., 140(5):1135–1148, 2004.

Embedding problems and finite quotients. Pacific J. Math., 205(1):31–41, 2002(with T. Chinburg).

Articles In ProgressDefending a Chain in Risk, To appear, (with T. Neller).Jacobians of Graphs with a Klein-Four action, In preparation.Klein Four Actions on Sets and Graphs, Submitted for publication.

Sandpiles, spanning trees, and plane duality, Submitted for publication, (with M.Chan, M. Macauley, D. Perkinson, C. Werner, and Q. Yang.Cyclic Critcal Groups of Graphs, Submitted for publication, (with R. Becker).

Other WritingsOn Serre’s Ouevres, MAA Reviews, Feb 2014.Review of Math on Trial by Schneps & Colmez, Math Horizons, Jan. 2014.Solving The Debt Crisis on Graphs, MAA Focus, Vol. 32 (2012), no. 4.Chip Firing Puzzles, Proceedings of Gathering For Gardner X.On Barrow’s Euclidis Elementorum, Musselman Library 30th Anniversary Book.Game Theory, in Encyclopedia of Mathematics and Society, Salem Press 2012, editedby S. Greenwald & J. Thomley.PREP Workshop Report: Expository Writing, MAA Focus, Vol. 28 (2008).Marathon Games: A Mathematical Approach, By The Numbers, Feb 2005, (withP. Lowry).If I Never Get Back: Marathon Games, Baseball Research Journal, 2004, (with P.Lowry).The Correlation Between Attendance and Just About Anything, By TheNumbers, March 2004.Fair-Weather Fans: The Correlation Between Attendance and Winning Per-centage, Baseball Research Journal, 2003.The Rewards of the Gee-Whiz Moment, Schoolbook, Winter 2004.University of Pennsylvania Calculus Lab Manual, Fall 1999 Edition, with D.DeTurck, T. Chinburg, et al..The Secrets of Georgia ARML, 1996, with S. Sigur, D. Love, et al..

Select Talks GivenMarch 2014 AMS Sectional Meeting, Knoxville TN, Jacobians of Curves With Automorphisms.March 2014 James Madison University Math Coll., Jacobians of Graphs and Chip Firing.

Feb 2014 Gettysburg College Faculty Lunch Panel, Open Source Publishing in Mathematics.Jan 2014 Joint Mathematics Meetings, Baltimore MD, Project NExT Panel: How to design

and implement a new course.August 2013 MOVES conference at Museum of Mathematics, Chip Firing Puzzles on Graphs.

July 2013 American Institute of Mathematics, Generalizations of Chip Firing Games.April 2013 Univ. of Pennsylvania Algebra Seminar, A Kani-Rosen Style Theorem For Graphs.

March 2013 United States Naval Academy Colloquium, Jacobians of Graphs and Chip Firing.Feb. 2013 IMATE Oaxaca, Decomposing Jacobians.June 2012 Canadian Number Theory Assn., Lethbridge, Communal Partitions of Integers.

March 2012 Gathering For Gardner, Atlanta, A Secretary Problem From The Applicants POV.March 2012 Penn State Combinatorics Seminar, Communal Partitions of Integers.

October 2011 INTEGERS Conference, Carrolton GA, Communal Partitions of Integers.Sept., 2011 Unitarian Universalists of Gettysburg, Mathematics, Mystery, and Reason.May, 2011 Zassenhaus Group Theory Conference, Towson MD, Automorphism Groups in

Characteristic p.

October 2010 Shippensburg Univ. Mathematics Coll., Coding Theory and Curve Interpolation.August, 2010 MathFest, Pittsburgh PA, A First Year Seminar on Cryptography.

July, 2010 Abhayankar’s 80th Birthday Conference, West Lafayette IN, The relationshipbetween automorphism groups and p-ranks.

July, 2010 International Conference on Fibonacci Numbers and their Applications,Morelia Mexico, Optimal Strategies in the game of Risk.

May, 2010 Gettysburg Alumni College, Cryptography, Coding Theory & Curve Interpolation.Feb 2010 Gettysburg Faculty Lunch, Cryptography, Coding Theory & Curve Interpolation.Feb. 2009 Dickinson College Math Coll., Cryptography, Coding Theory & Curve Interpolation.Mar. 2008 Haverford College Math Coll., Cryptography, Coding Theory & Curve Interpolation.Nov. 2007 University of Portland Mathematics Colloquium, Poncelet’s Porism.Sept. 2007 York College Mathematics Colloquium, Elliptic Curves and Poncelet’s Porism.July 2007 Applications of Computer Algebra 2007, The Relationship Between the p-rank

and the Automorphism Group of Curves.Apr. 2007 AMS Sectional Meeting, Tucson AZ, The Relationship Between the p-rank and

the Automorphism Group of Curves.Mar. 2007 Mount St Mary’s Mathematics Colloquium, Elliptic Curves and Poncelet’s Porism.Feb. 2007 University of Texas Number Theory Seminar, The p-torsion of Hyperelliptic

Curves.Jan. 2007 AMS-MAA Joint Meetings, New Orleans, LA, The 2-torsion of Hyperelliptic

Curves with Extra Automorphisms.Dec. 2006 West Coast Number Theory Conference, Ensenada Mexico, The 2-torsion of

Hyperelliptic Curves with Extra Automorphisms.June 2006 Colorado State Algebra Seminar, The 2-torsion of Hyperelliptic Curves.April 2006 AMS Sectional Meeting, Durham NH, The p-torsion of Hyperelliptic Curves With

Extra Automorphisms.April 2006 Gettysburg Faculty Seminar, The Torsion of (Hyper)Elliptic Curves.Mar. 2006 Lycoming College Colloquium, Elliptic Curves and Poncelet’s Porism.Jan. 2006 University of Pennsylvania Galois Seminar, The p-torsion of Jacobians.Oct. 2005 Gettysburg College Colloquium, Primes in Arithmetic Progressions.May 2005 New York City Math Fair, Problems That Really Count.April 2005 AMS Sectional Meeting, Santa Barbara CA, The p-torsion of Hyperelliptic Curves.Feb. 2005 Oregon State University Math Colloquium, The p-torsion of Hyperelliptic Curves.Jan. 2005 Williams College Mathematics Seminar, Group Actions on Curves.Jan. 2005 AMS-MAA Joint Meetings, Atlanta, GA, The p-torsion of Hyperelliptic Curves.Dec. 2004 University of Western Ontario Algebra Seminar, Torsion points on Curves.Sept. 2004 University of Georgia Algebraic Geometry Seminar, The Moduli Space of Ele-

mentary Abelian Covers of the Projective Line.Sept. 2004 Stuyvesant Faculty Development, Problem Solving & Counting.Apr. 2004 Colorado State Univ. Algebra Seminar, The p-torsion of Hyperelliptic Curves.Feb. 2004 Manhattan College Colloquium, Group Actions on Curves.Oct. 2003 AMS Meeting, Chapel Hill NC, Hyperelliptic Curves with a-number >2.Oct. 2003 University of Pennsylvania Galois Seminar, Supersingular Hyperelliptic Curves.April 2003 Brown University Number Theory Workshop, Tame Actions on Elliptic Curves.

March 2003 Rice University Algebraic Geometry Seminar, The Geometry of Gauss Sums.Oct. 2002 Princeton/IAS Number Theory Seminar, ε-Constants and Orthogonal

Representations.Oct. 2002 Columbia Number Theory Seminar, Epsilon Constants and Arithmetic Schemes.June 2002 AMS-UMI Joint Meetings, Pisa, Italy, Epsilon Constants Associated to Orthogonal

Tame Finite Group Actions on Surfaces.April 2002 Penn Graduate Algebra Seminar, Vector Bundles on Number Fields.Jan. 2002 AMS-MAA Joint Meetings, San Diego, CA, Orthogonal Epsilon Constants.Dec. 2001 Haverford/Bryn Mawr BiCo Colloquium, Elliptic Curves & Poncelet’s Porism.Nov. 2001 AMS Sectional Meeting, Irvine CA, Epsilon Constants and Orthogonal

Representations.Oct. 2001 Annapolis Algebraic Geometry Conf., Embedding Problems and Finite Quotients.

March 2001 Penn Galois Seminar, Complements to the Anabelian Conjecture.March 2001 Penn Prospective Grad Students Seminar, What is Arithmetic Geometry?.Jan. 2001 Penn Cryptography Seminar, Braid Groups and Cryptography: Two Approaches.Dec. 2000 Western Number Theory Conf., San Diego, Finitely Determined Galois Groups.Nov. 2000 Penn Pi Mu Epsilon, The Mathematics of Public Key Cryptography.Feb. 2000 Penn Graduate Algebra Seminar, Arithmetic Duality Theorems in Galois

Cohomology.Sept. 1999 Penn Pizza Colloquium, Elliptic Curves & Poncelet’s Porism.Feb. 1999 Penn Graduate Algebra Seminar, The Arithmetic of Hurwitz Spaces.Sept. 1998 Penn Graduate Algebra Seminar, Galois Covers of Algebraic Curves.Feb. 1997 Rice Undergraduate Colloquium, Richman, Poor Man: Topics in Game Theory.

March 1996 Rice Undergraduate Colloquium, The Mathematics of Rubik’s Pyramid.Jan. 1996 AMS-MAA Joint Meetings, Orlando FL, The Group Structure of a Pyramidal

Puzzle.

Select Undergraduate Research Projects Supervised2014 Discrete Logarithms in Cryptography Kevin Cable2014 Chutes and Ladders with Large Spinners Darcie Connors2014 Who’s Got The Power? An Introduction to Voting Indices Courtney Cox2014 Using Euclid to Minimize Skin Grafts Emily Thren2013 Playing Games on Graphs Ryan Becker2013 Where High School Algebra Meets College Algebra Margaret Flora2012 The Mathematics of Sudoku Hilary Frankle2012 Location, Location, Location: The Mathematics of Monopoly Steve Hnath2012 A Random Walk In The Ballpark Adrienne Rahs2011 Pointless Hyperelliptic Curves Ryan Becker2011 An Answer to Quantum Security: The McEliece Cryptosystem Will Brooks2011 Lattices and Encryption Elliott Rosner2010 Finding the Roots of Functions Amanda Kroft2010 Sequential Search Strategy Optimization Brian Lemak2010 An Introduction to Mathematical Finance Kevin Raynes2010 Probabilistic Aggregation of a Swarm Robotic System Paul Smith Jr.

2009 Stirling Numbers and Generating Functions Shannon Mounts2009 Using Elliptic Curves in Cryptography Jennifer Pfister2008 Secret Sharing Schemes: Their Properties and Applications Elizabeth Heron2008 A Study of Periodic Points in Difference Equations Glorianne Ponsart2006 SIR Models and Diseases David Neagley2004 Moduli Spaces of Dihedral Covers A. Danielak, C. Lennon, & L. Panok2004 The Omega Transform and Bounded Partitions M. Haque & I. Sprung2004 A Theorem of Kani and Rosen I. Vinogradov

Service PositionsChair, Mathematics Department 2009 - presentMAA Basic Library List Committee 2010 - presentWritten more than 40 book reviews for journals including MAA Reviews,Math Horizons,and The American Statistician

Refereed more than 10 papers for journals including Mathematics Magazine,American Mathematics Monthly,Proceedings of the AMS,PRIMUS,Cryptologia, and Canadian Mathematical Journal

Referee of books, MAA Guide seriesGettysburg College Pi Mu Epsilon Chapter, Faculty Advisor 2012 - presentExternal Evaluator, Hamden Sydney Coll. Mathematics Department 2012Gettysburg College Ad Hoc Taskforce on Course Credit 2010 - 2011Gettysburg Chairs IT Taskforce 2013 - presentGettysburg Reaccreditation Working Group 2012-2013Gettysburg Education Department Working Group 2013-2014Project NExT Mentor 2010 - presentLand Conservancy of Adams County Events Committee 2009 - presentParticipant, Gettysburg College FYS/FYE BURG Program 2010,2012,2013Organizer, Special Session on ’Group Actions on Curves’, JMM Jan 2009Gettysburg College Faculty Council 2007 - 2009Gettysburg College HR Advisory Committee 2007 - 2008Gettysburg College Faculty Finance Committee 2007 - 2010Paideia School Alumni Advisory Council 2006 - 2008Gettysburg College Instructional Technology Workgroup 2006 - 2007Coordinator, Gettysburg Math Peer Learning Associates 2006 - 2007Coordinator, Gettysburg Mathematics Department Colloquium 2005-06,

2007-08,2010-12

Coordinator, Gettysburg Problems of the Month Competition 2005 - 2006MAA Committee on the American Mathematics Competitions 2001 - 2006Rice University Admissions Volunteer Association

{ Pennsylvania State Captain, 2007 - 2010{ Alumni Interviewer, 2000-present

Talent Identification Program Alumni Org. Executive Board 2002 - 2005Columbia Mathematics Undergraduate Curriculum Committee 2004 - 2005

Co-Coordinator, Columbia Workshop For High School Teachers 2003Columbia Undergraduate Mathematics Society, Faculty Advisor 2003 - 2005Univ. of Pennsylvania School of Arts and Sciences TA Training 2000-2001Univ. of Pennsylvania Mathematics Master TA 1999-2002University of Pennsylvania Graduate Student Association

{ President, 2001-2002{ Treasurer, 2000-2001{ Chair, TA Issues Committee, 1999 - 2000{ Dept of Mathematics Representative, 1998 -2000

WXPN radio station{ Member of Policy Board, 2000-2002{ Studio Volunteer, 1998-2002

Penn Mathematics Graduate Student Colloquium Organizer 1999-2001Rice University Math Tournament Co-organizer 1995-1997

Awards and HonorsProject Kaleidoscope Faculty For The 21st Century Fellow Fall 2007Gettysburg Professional Development Grants 2006, 2008, 2012, 2013Project NExT Fellow 2003-2004 (Sky Dot)Univ. of Pennsylvania Dissertation Fellowship 2001-2002Moez Al-Mohamed Award for Excellence in Teaching 2001Department of Mathematics Research Fellowship 1999, 2000-2001SAS Dean’s Award For Distinguished Teaching 1999Penn Department of Mathematics Good Teaching Awards Spring 1998

Fall 1998Fall 1999

Spring 2000Rice Mathematics Frank Jones Scholar 1996

Professional Memberships{ American Mathematical Society { Mathematical Association of America{ Natl. Cryptologic Museum Foundation { Society for American Baseball Research