Darren Glass – Curriculum Vitae

Darren Glass
Curriculum Vitae
Í
300 N. Washington Street
Gettysburg, PA 17325
T 717.337.6635
u 717.337.8458
B [email protected]
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 = xp − 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 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
July
April
March
Feb.
June
March
March
October
Sept.,
2013
2013
2013
2013
2013
2012
2012
2012
2011
2011
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.
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 relationship
between 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,
Feb
Feb.
Mar.
Nov.
Sept.
2010
2010
2009
2008
2007
2007
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.
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
Mar.
Jan.
Oct.
May
April
Feb.
Jan.
Jan.
Dec.
2006
2006
2006
2005
2005
2005
2005
2005
2005
2004
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.
Sept. 2004 University of Georgia Algebraic Geometry Seminar, The Moduli Space of Elementary Abelian Covers of the Projective Line.
Sept.
Apr.
Feb.
Oct.
Oct.
April
2004
2004
2004
2003
2003
2003
Stuyvesant Faculty Development, Problem Solving & Counting.
Colorado State Univ. Algebra Seminar, The p-torsion of Hyperelliptic Curves.
Manhattan College Colloquium, Group Actions on Curves.
AMS Meeting, Chapel Hill NC, Hyperelliptic Curves with a-number >2.
University of Pennsylvania Galois Seminar, Supersingular Hyperelliptic Curves.
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
Representations.
Number
Theory
Seminar,
-Constants and Orthogonal
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,
Representations.
Oct.
March
March
Jan.
Dec.
Nov.
2001
2001
2001
2001
2000
2000
Irvine CA, Epsilon Constants and Orthogonal
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.
Feb.
Sept.
Feb.
March
1999
1999
1998
1997
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.
Jan. 1996 AMS-MAA Joint Meetings, Orlando FL, The Group Structure of a Pyramidal
Puzzle.
Select Undergraduate Research Projects Supervised
2014
2014
2014
2014
2013
2013
2012
2012
2012
2011
2011
2011
2010
2010
2010
2010
Discrete Logarithms in Cryptography
Kevin Cable
Chutes and Ladders with Large Spinners
Darcie Connors
Who’s Got The Power? An Introduction to Voting Indices
Courtney Cox
Using Euclid to Minimize Skin Grafts
Emily Thren
Playing Games on Graphs
Ryan Becker
Where High School Algebra Meets College Algebra
Margaret Flora
The Mathematics of Sudoku
Hilary Frankle
Location, Location, Location: The Mathematics of Monopoly
Steve Hnath
A Random Walk In The Ballpark
Adrienne Rahs
Pointless Hyperelliptic Curves
Ryan Becker
An Answer to Quantum Security: The McEliece Cryptosystem Will Brooks
Lattices and Encryption
Elliott Rosner
Finding the Roots of Functions
Amanda Kroft
Sequential Search Strategy Optimization
Brian Lemak
An Introduction to Mathematical Finance
Kevin Raynes
Probabilistic Aggregation of a Swarm Robotic System
Paul Smith Jr.
2009
2009
2008
2008
2006
2004
2004
2004
Stirling Numbers and Generating Functions
Shannon Mounts
Using Elliptic Curves in Cryptography
Jennifer Pfister
Secret Sharing Schemes: Their Properties and Applications Elizabeth Heron
A Study of Periodic Points in Difference Equations
Glorianne Ponsart
SIR Models and Diseases
David Neagley
Moduli Spaces of Dihedral Covers
A. Danielak, C. Lennon, & L. Panok
The Omega Transform and Bounded Partitions
M. Haque & I. Sprung
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
Coordinator, Gettysburg Problems of the Month Competition
MAA Committee on the American Mathematics Competitions
Rice University Admissions Volunteer Association
{ Pennsylvania State Captain, 2007 - 2010
{ Alumni Interviewer, 2000-present
Talent Identification Program Alumni Org. Executive Board
Columbia Mathematics Undergraduate Curriculum Committee
2005-06,
2007-08,
2010-12
2005 - 2006
2001 - 2006
2002 - 2005
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
Rice Mathematics Frank Jones Scholar
Spring
Fall
Fall
Spring
1998
1998
1999
2000
1996
Professional Memberships
{ American Mathematical Society
{ Natl. Cryptologic Museum Foundation
{ Mathematical Association of America
{ Society for American Baseball Research