Darren Broderick Glass



Darren Broderick Glass

Contact Information

Department of Mathematics  Phone: (717)337-6635

Gettysburg College  Fax: (717)337-6638

200 N. Washington Street

Gettysburg, PA 17325 dglass@gettysburg.edu

 

Education

• Ph.D. in Mathematics, University of Pennsylvania – May 2002

Dissertation Title: Orthogonal Epsilon Constants for Finite Tame Group Actions on Surfaces

Advisor: Ted Chinburg

• M.A. in Mathematics, University of Pennsylvania – December 2000

• B.A. in Mathematics and Mathematical Economic Analysis, Rice University – May 1997

• The Paideia School – May 1993

Teaching Experience

• Assistant Professor, Gettysburg College, August 2005 - present

- Courses Designed and Taught include Calculus I, Calculus II, Honors Calculus I, Honors Calculus II, Game Theory, Cryptography, Linear Algebra, Abstract Algebra, Number Theory.

- Supervisor, undergraduate research projects on “Epidemiology and Euler’s Method,” “Secret Sharing Schemes,” and “Periodic Points In Difference Equations.”

• VIGRE/Ritt Assistant Professor, Columbia University, July 2002 – July 2005

- Courses Designed and Taught include Advanced Topics in Algebra, Combinatorial Number Theory, Number Theory and Cryptography, Combinatorics, Groups and Symmetry (math for liberal arts majors), and Calculus.

- Supervisor of six undergraduate research projects, 2004 Summer Research Experience.

- Co-coordinator, Columbia-Stuyvesant Mathematics Seminar, Fall 2004

- Supervisor, Two Masters Theses and two Senior Theses.

• Instructor, University of Pennsylvania

- Linear Algebra (Summers 1998, 2001), Ideas in Mathematics (Summer 2000), Number Theory (1998-99)

• Teaching Assistant, PennAdvance Distance Learning course, Ideas In Mathematics, Spring 2001

• Teaching Assistant, University of Pennsylvania

- Calculus courses, Fall 1997 – Spring 2000

• Workshop Leader, School of Arts & Sciences TA Training, May 2000 – May 2001

• Master TA, Departmental Teaching Orientation Program, Department of Mathematics, University of Pennsylvania, August 1999 – May 2002

• Tutor, University of Pennsylvania

- Various calculus courses, January 1998 – May 2002

• Grader, Rice University

- Various undergraduate courses, September 1994 – May 1997

Research Papers

• “Automorphism groups of algebraic curves of genus 3 and 4 defined over fields of positive characteristic” – joint with Tony Shaska, in preparation

• “Basis for Riemann-Roch G-Modules for y2 = xp-x over GF(p)” – joint with David Joyner & Amy Ksir, in preparation

• “The expected number of packs needed to collect a full set of baseball cards” – joint with Craig Bauer, in preparation

• “The automorphism group of a generic curve with given p-rank” – joint with Jeff Achter & Rachel Pries, to appear in Michigan Journal of Mathematics

• “The 2-ranks of Hyperelliptic Curves With Extra Automorphisms” – to appear in International Journal of Number Theory

• “Galois structure of De Rham cohomology” – joint with Seon-In Kwon, to appear in Journal of Number Theory

• “Quasigeometric Distributions and Extra Innings Games” – joint with Phil Lowry, Mathematics Magazine Volume 81 (2008), no. 3, 127-137

• “Klein-Four covers of the projective line in characteristic two” – Albanian Journal of Mathematics, Volume 1 (2007), 1-11

• “On the moduli space of Klein four covers of the projective line” – joint with Rachel Pries

in Computational Aspects of Algebraic Curves, ed. T. Shaska, Lecture Notes Series in Computing, WorldScientific, Volume 13, (2005)

• “Questions on the p-torsion of hyperelliptic curves” – joint with Rachel Pries, Rendiconti del Seminario Mathematico, Volume 113 (2005)

• “Hyperelliptic curves with prescribed p-torsion” – joint with Rachel Pries, Manuscripta Mathematica, Volume 117 (2005), no. 3, 299-317

• “Brauer group invariants associated to orthogonal epsilon constants” – Bulletin of the London Mathematical Society, Volume 37 (2005), no. 2, 172-178

• “Epsilon constants and orthogonal representations” – Compositio Mathematica Vol.140 (2004), No. 5

• “Embedding Problems and Finite Quotients” – joint with Ted Chinburg, Pacific Journal of Mathematics Volume 205 (2002), No. 1

Other Papers

• “A Quantitative Analysis of Double Elimination Tournaments” – submitted for publication

• “Marathon Games: A Mathematical Approach” – joint with Phil Lowry, By The Numbers, Feb 2005

• “If I Never Get Back: Marathon Games” – joint with Phil Lowry, Baseball Research Journal, 2004

• “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 – joint with D. DeTurck, T. Chinburg, et al.

• The Secrets of Georgia ARML 1996 – joint with S. Sigur, D. Love, et al.

Book Reviews

• Mathematics and Democracy and The Presidential Election Game by S. Brams – MAA Online, Mar 2008

• Mathematics and Common Sense by P. Davis – MAA Online, Apr 2007

• Computing the Continuous Discretely by Beck and Robins – MAA Online, Feb 2007

• Symmetry and the Monster by M. Ronan – MAA Online, Aug 2006

• Fearful Symmetry by Ash & Gross – MAA Online, July 2006

• Selected Letters of John von Neumann – MAA Online, Apr 2006

• The Equation That Couldn’t Be Solved by M. Livio – MAA Online, Feb 2006

• Social Choice & The Mathematics of Manipulation by A.Taylor – MAA Online, Dec 2005

• Coincidences, Chaos, and All That Math Jazz by E. Burger and M. Starbird – MAA Online, Sept. 2005

• Proofs That Really Count by A. Benjamin and J. Quinn – The American Statistician, Vol. 58, No. 4, November 2004 pp.360-361

• Cogwheels of the Mind by AWF Edwards – MAA Online, Sept. 2004

• Mathematical Adventures For Students and Amateurs – MAA Online, Aug. 2004

• Sherlock Holmes in Babylon – MAA Online, June 2004

• Everything and More by D. F. Wallace –MAA Online, Apr. 2004

• Turing (a novel about computation) by C. Papadimitriou – MAA Online, Mar. 2004

• Mathematical Constants by S. Finch – MAA Online, Feb. 2004

Proofs That Really Count by A. Benjamin & J. Quinn – MAA Online, Oct. 2003

Selected Talks

• Mar. 2008 – Haverford College Math Colloquium – “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 Elementary Abelian Covers of the Projective Line”

• Sept. 2004 – Stuyvesant Faculty Development – “Problem Solving & Combinatorial Number Theory”

• Apr. 2004 – Colorado State University Algebra Seminar – “The p-torsion of Hyperelliptic Curves”

• Feb. 2004 – Manhattan College Colloquium – “Group Actions on Curves”

• Oct. 2003 – AMS Sectional 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 University 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 Bi-college Colloquium – “Elliptic Curves & Poncelet’s Porism”

• Nov. 2001 – AMS Sectional Meeting, Irvine CA – “Epsilon Constants and Orthogonal Representations”

• Oct. 2001 – Annapolis Algebraic Geometry Conference – “Embedding Problems and Finite Quotients”

• March 2001 – Penn Galois Seminar – “Complements to the Anabelian Conjecture”

• March 2001 – Penn Prospective Graduate Students Conference – “What is Arithmetic Geometry?”

• Jan. 2001 – Penn Cryptography Seminar – “Braid Groups and Cryptography: Two Approaches”

• Dec. 2000 – Western Number Theory Conference, San Diego CA – “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”

Service Positions and Extracurricular Activities

• Gettysburg College Faculty Council, Aug 2007 - present

• Gettysburg College HR Advisory Committee, Aug 2007 - present

• Gettysburg College Faculty Finance Committee, Aug 2007 – present

• Paideia School Alumni Advisory Council, Sept 2006 – May 2008

• Gettysburg College Instructional Technology Workgroup, Sept 2006 – July 2007

• Referee of papers: The Computer Journal, Mathematics Magazine, Jan 2006 - present

• Coordinator, Gettysburg Math Peer Learning Associates Program, Jan 2006 –Dec 2007

• Coordinator, Gettysburg Mathematics Department Colloquium, Sept 2005 – Aug 2006, Sept 2007 - present

• Coordinator, Gettysburg Mathematics Problems of the Month Competition, Sept 2005 – Aug 2006

• Contributor, MAA Brief Reviews, November, 2004 – present

• MAA Committee on the American Mathematics Competitions, Apr. 2001 – Dec. 2006

• Rice University Admissions Volunteer Association

- Pennsylvania State Captain, July 2007 – present

- Alumni Interviewer, July 2000 - present

• Talent Identification Program Alumni Organization Executive Board, Jan. 2002 – Dec 2005

• Columbia Mathematics Undergraduate Curriculum Committee, Sept. 2004 – July 2005

• Co-Coordinator, Columbia Workshop For High School Teachers, Summer 2003

• Columbia Undergraduate Mathematics Society, Faculty Co-Advisor, Jan. 2003 – July, 2005

• University of Pennsylvania Graduate Student Association

- President, May 2001 – May 2002

- Treasurer, May 2000 – May 2001

- Chair, TA Issues Committee, Jan. 1999 – May 2000

- Dept of Mathematics Representative, Aug. 1998 – May 2000

• WXPN radio station, Member of Policy Board, Studio Volunteer, Feb. 1998 – May 2002

• Graduate Student Colloquium, Department of Mathematics, Organizer, 1999–2001

• Rice University Math Tournament, Co-organizer, 1995–1997

Awards & Honors

• Project Kaleidescope Faculty For The 21st Century Fellow – Fall 2007

• Gettysburg College Research and Professional Development Grant – Spring 2006, Spring 2008

• Project NExT Fellow, 2003–2004 (Sky Dot)

• School of Arts and Sciences Dissertation Fellowship 2001–2002, University of Pennsylvania

• Moez Al-Mohamed Award for Excellence in and Dedication to Teaching, University of Pennsylvania Department of Mathematics, 2001

• Department of Mathematics Research Fellowship, 2000–2001 academic year, Spring 1999

• Dean's Award For Distinguished Teaching, University of Pennsylvania School of Arts and Sciences, 1999

• Penn Department of Mathematics Good Teaching Awards, Spring 1998, Fall 1998, Fall 1999, Spring 2000

• NSF Honorable Mention, Highly Meritous Application for Graduate Research Fellowship, 1998

• Frank Jones Scholar, Department of Mathematics, Rice University, Summer 1996

Professional Memberships

• American Mathematical Society, 1996 – present

• Mathematical Association of America, 2001 – present

• Society for American Baseball Research, 2002 – 2005

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