Darren Glass Curriculum Vitae Í 300 N. Washington Street Gettysburg, PA 17325 T 717.337.6635 u 717.337.8458 B dglass@gettysburg.edu www.gettysburg.edu/ dglass Education 2002 Ph.D. in Mathematics, University of Pennsylvania, Advisor: Ted Chinburg. Dissertation Title: Orthogonal Epsilon Constants for Finite Tame Group Actions on Surfaces 2000 M.A. in Mathematics, University of Pennsylvania. 1997 B.A. in Mathematics & Mathematical Economics, Rice University. 1993 High School, The Paideia School. Experience 2009 - now 2005-2009 2002-2005 1997-2002 1994-1997 Associate Professor and Department Chair, Gettysburg College. Assistant Professor, Gettysburg College. VIGRE and Ritt Assistant Professor, Columbia University. Teaching Assistant and Graduate Instructor, University of Pennsylvania. Grader and TA, Rice University. Courses Taught { Mathematical Ideas { Game Theory { Calculus I, II, III { Abstract Mathematics { Abstract Algebra { Combinatorial Number Theory { Combinatorics { Cryptography { Groups and Symmetry { Linear Algebra { Number Theory { Coding Theory { Algebraic Number Theory Research Articles Chutes 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. Amer. Math. Soc., 60(5):558 566, 2013. Notices
The secretary problem from the applicant s point of view. In Martin Gardner in the 21st Century, 243 248. Mathematical Association of America Press, Washington DC, 2013. Communal partitions of integers. Integers, 12(3):405 416, 2012. Non-genera of curves with automorphisms in characteristic p. In Computational 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 Mathematics and its Application, 31(3):189 196, 2010. Codes from Riemann-Roch spaces for y 2 = x p x over GF (p). Coding Theory, 1(3):298 312, 2010 (with D. Joyner and A. Ksir). Addendum to Hyperelliptic curves with prescribed p-torsion. Math., 133(3-4):545 546, 2010 (with R. Pries). Int. J. Inf. Manuscripta The 2-ranks of hyperelliptic curves with extra automorphisms. Int. J. Number Theory, 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. London Math. Soc., 37(2):172 178, 2005. Bull. On the moduli space of Klein four covers of the projective line. In Computational 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 Progress Defending 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 Writings On 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, edited by S. Greenwald & J. Thomley. PREP Workshop Report: Expository Writing, MAA Focus, Vol. 28 (2008). Marathon Games: A Mathematical Approach, By The Numbers, Feb 2005, (with P. Lowry). If I Never Get Back: Marathon Games, Baseball Research Journal, 2004, (with P. Lowry). The Correlation Between Attendance and Just About Anything, By The Numbers, March 2004. Fair-Weather Fans: The Correlation Between Attendance and Winning Percentage, 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 Given March 2014 March 2014 Feb 2014 Jan 2014 August 2013 July 2013 April 2013 March 2013 Feb. 2013 June 2012 March 2012 March 2012 October 2011 Sept., 2011 May, 2011 AMS Sectional Meeting, Knoxville TN, Jacobians of Curves With Automorphisms. James Madison University Math Coll., Jacobians of Graphs and Chip Firing. Gettysburg College Faculty Lunch Panel, Open Source Publishing in Mathematics. Joint Mathematics Meetings, Baltimore MD, Project NExT Panel: How to design and implement a new course. MOVES conference at Museum of Mathematics, Chip Firing Puzzles on Graphs. American Institute of Mathematics, Generalizations of Chip Firing Games. Univ. of Pennsylvania Algebra Seminar, A Kani-Rosen Style Theorem For Graphs. United States Naval Academy Colloquium, Jacobians of Graphs and Chip Firing. IMATE Oaxaca, Decomposing Jacobians. Canadian Number Theory Assn., Lethbridge, Communal Partitions of Integers. Gathering For Gardner, Atlanta, A Secretary Problem From The Applicants POV. Penn State Combinatorics Seminar, Communal Partitions of Integers. INTEGERS Conference, Carrolton GA, Communal Partitions of Integers. Unitarian Universalists of Gettysburg, Mathematics, Mystery, and Reason. Zassenhaus Group Theory Conference, Towson MD, Automorphism Groups in Characteristic p.
October 2010 August, 2010 July, 2010 July, 2010 May, 2010 Feb 2010 Feb. 2009 Mar. 2008 Nov. 2007 Sept. 2007 July 2007 Apr. 2007 Mar. 2007 Feb. 2007 Jan. 2007 Dec. 2006 June 2006 April 2006 April 2006 Mar. 2006 Jan. 2006 Oct. 2005 May 2005 April 2005 Feb. 2005 Jan. 2005 Jan. 2005 Dec. 2004 Sept. 2004 Shippensburg Univ. Mathematics Coll., Coding Theory and Curve Interpolation. MathFest, Pittsburgh PA, A First Year Seminar on Cryptography. Abhayankar s 80th Birthday Conference, West Lafayette IN, The relationship between automorphism groups and p-ranks. International Conference on Fibonacci Numbers and their Applications, Morelia Mexico, Optimal Strategies in the game of Risk. Gettysburg Alumni College, Cryptography, Coding Theory & Curve Interpolation. Gettysburg Faculty Lunch, Cryptography, Coding Theory & Curve Interpolation. Dickinson College Math Coll., Cryptography, Coding Theory & Curve Interpolation. Haverford College Math Coll., Cryptography, Coding Theory & Curve Interpolation. University of Portland Mathematics Colloquium, Poncelet s Porism. York College Mathematics Colloquium, Elliptic Curves and Poncelet s Porism. Applications of Computer Algebra 2007, The Relationship Between the p-rank and the Automorphism Group of Curves. AMS Sectional Meeting, Tucson AZ, The Relationship Between the p-rank and the Automorphism Group of Curves. Mount St Mary s Mathematics Colloquium, Elliptic Curves and Poncelet s Porism. University of Texas Number Theory Seminar, The p-torsion of Hyperelliptic Curves. AMS-MAA Joint Meetings, New Orleans, LA, The 2-torsion of Hyperelliptic Curves with Extra Automorphisms. West Coast Number Theory Conference, Ensenada Mexico, The 2-torsion of Hyperelliptic Curves with Extra Automorphisms. Colorado State Algebra Seminar, The 2-torsion of Hyperelliptic Curves. AMS Sectional Meeting, Durham NH, The p-torsion of Hyperelliptic Curves With Extra Automorphisms. Gettysburg Faculty Seminar, The Torsion of (Hyper)Elliptic Curves. Lycoming College Colloquium, Elliptic Curves and Poncelet s Porism. University of Pennsylvania Galois Seminar, The p-torsion of Jacobians. Gettysburg College Colloquium, Primes in Arithmetic Progressions. New York City Math Fair, Problems That Really Count. AMS Sectional Meeting, Santa Barbara CA, The p-torsion of Hyperelliptic Curves. Oregon State University Math Colloquium, The p-torsion of Hyperelliptic Curves. Williams College Mathematics Seminar, Group Actions on Curves. AMS-MAA Joint Meetings, Atlanta, GA, The p-torsion of Hyperelliptic Curves. University of Western Ontario Algebra Seminar, Torsion points on Curves. University of Georgia Algebraic Geometry Seminar, The Moduli Space of Elementary 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, ɛ-constants and Orthogonal Representations. Oct. 2002 June 2002 April 2002 Jan. 2002 Dec. 2001 Columbia Number Theory Seminar, Epsilon Constants and Arithmetic Schemes. AMS-UMI Joint Meetings, Pisa, Italy, Epsilon Constants Associated to Orthogonal Tame Finite Group Actions on Surfaces. Penn Graduate Algebra Seminar, Vector Bundles on Number Fields. AMS-MAA Joint Meetings, San Diego, CA, Orthogonal Epsilon Constants. Haverford/Bryn Mawr BiCo Colloquium, Elliptic Curves & Poncelet s Porism. Nov. 2001 AMS Sectional Meeting, Irvine CA, Epsilon Constants and Orthogonal Representations. Oct. 2001 March 2001 March 2001 Jan. 2001 Dec. 2000 Nov. 2000 Annapolis Algebraic Geometry Conf., Embedding Problems and Finite Quotients. Penn Galois Seminar, Complements to the Anabelian Conjecture. Penn Prospective Grad Students Seminar, What is Arithmetic Geometry?. Penn Cryptography Seminar, Braid Groups and Cryptography: Two Approaches. Western Number Theory Conf., San Diego, Finitely Determined Galois Groups. Penn Pi Mu Epsilon, The Mathematics of Public Key Cryptography. Feb. 2000 Penn Graduate Algebra Seminar, Arithmetic Duality Theorems in Galois Cohomology. Sept. 1999 Feb. 1999 Sept. 1998 Feb. 1997 March 1996 Jan. 1996 Penn Pizza Colloquium, Elliptic Curves & Poncelet s Porism. Penn Graduate Algebra Seminar, The Arithmetic of Hurwitz Spaces. Penn Graduate Algebra Seminar, Galois Covers of Algebraic Curves. Rice Undergraduate Colloquium, Richman, Poor Man: Topics in Game Theory. Rice Undergraduate Colloquium, The Mathematics of Rubik s Pyramid. AMS-MAA Joint Meetings, Orlando FL, The Group Structure of a Pyramidal Puzzle. Select Undergraduate Research Projects Supervised 2014 Discrete Logarithms in Cryptography Kevin Cable 2014 Chutes and Ladders with Large Spinners Darcie Connors 2014 Who s Got The Power? An Introduction to Voting Indices Courtney Cox 2014 Using Euclid to Minimize Skin Grafts Emily Thren 2013 Playing Games on Graphs Ryan Becker 2013 Where High School Algebra Meets College Algebra Margaret Flora 2012 The Mathematics of Sudoku Hilary Frankle 2012 Location, Location, Location: The Mathematics of Monopoly Steve Hnath 2012 A Random Walk In The Ballpark Adrienne Rahs 2011 Pointless Hyperelliptic Curves Ryan Becker 2011 An Answer to Quantum Security: The McEliece Cryptosystem Will Brooks 2011 Lattices and Encryption Elliott Rosner 2010 Finding the Roots of Functions Amanda Kroft 2010 Sequential Search Strategy Optimization Brian Lemak 2010 An Introduction to Mathematical Finance Kevin Raynes 2010 Probabilistic Aggregation of a Swarm Robotic System Paul Smith Jr.
2009 Stirling Numbers and Generating Functions Shannon Mounts 2009 Using Elliptic Curves in Cryptography Jennifer Pfister 2008 Secret Sharing Schemes: Their Properties and Applications Elizabeth Heron 2008 A Study of Periodic Points in Difference Equations Glorianne Ponsart 2006 SIR Models and Diseases David Neagley 2004 Moduli Spaces of Dihedral Covers A. Danielak, C. Lennon, & L. Panok 2004 The Omega Transform and Bounded Partitions M. Haque & I. Sprung 2004 A Theorem of Kani and Rosen I. Vinogradov Service Positions Chair, Mathematics Department MAA Basic Library List Committee 2009 - present 2010 - present Written 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 series Gettysburg College Pi Mu Epsilon Chapter, Faculty Advisor 2012 - present External Evaluator, Hamden Sydney Coll. Mathematics Department 2012 Gettysburg College Ad Hoc Taskforce on Course Credit 2010-2011 Gettysburg Chairs IT Taskforce 2013 - present Gettysburg Reaccreditation Working Group 2012-2013 Gettysburg Education Department Working Group 2013-2014 Project NExT Mentor 2010 - present Land Conservancy of Adams County Events Committee 2009 - present Participant, Gettysburg College FYS/FYE BURG Program 2010,2012,2013 Organizer, Special Session on Group Actions on Curves, JMM Jan 2009 Gettysburg College Faculty Council 2007-2009 Gettysburg College HR Advisory Committee 2007-2008 Gettysburg College Faculty Finance Committee 2007-2010 Paideia School Alumni Advisory Council 2006-2008 Gettysburg College Instructional Technology Workgroup 2006-2007 Coordinator, Gettysburg Math Peer Learning Associates 2006-2007 Coordinator, Gettysburg Mathematics Department Colloquium 2005-06, 2007-08, 2010-12 Coordinator, Gettysburg Problems of the Month Competition 2005-2006 MAA Committee on the American Mathematics Competitions 2001-2006 Rice University Admissions Volunteer Association Pennsylvania State Captain, 2007-2010 Alumni Interviewer, 2000-present Talent Identification Program Alumni Org. Executive Board 2002-2005 Columbia Mathematics Undergraduate Curriculum Committee 2004-2005
Co-Coordinator, Columbia Workshop For High School Teachers 2003 Columbia Undergraduate Mathematics Society, Faculty Advisor 2003-2005 Univ. of Pennsylvania School of Arts and Sciences TA Training 2000-2001 Univ. of Pennsylvania Mathematics Master TA 1999-2002 University 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 1999-2001 Rice University Math Tournament Co-organizer 1995-1997 Awards and Honors Project Kaleidoscope Faculty For The 21st Century Fellow Fall 2007 Gettysburg Professional Development Grants 2006, 2008, 2012, 2013 Project NExT Fellow 2003-2004 (Sky Dot) Univ. of Pennsylvania Dissertation Fellowship 2001-2002 Moez Al-Mohamed Award for Excellence in Teaching 2001 Department of Mathematics Research Fellowship 1999, 2000-2001 SAS Dean s Award For Distinguished Teaching 1999 Penn Department of Mathematics Good Teaching Awards Spring 1998 Fall 1998 Fall 1999 Spring 2000 Rice Mathematics Frank Jones Scholar 1996 Professional Memberships American Mathematical Society Natl. Cryptologic Museum Foundation Mathematical Association of America Society for American Baseball Research