Paul Andrew Dreyer, Jr.
Tel: 310-393-0411, x-7152
E-mail: dreyer@rand.org
Research Interests
Modeling and simulation, graph theory, combinatorics, computational biology, and probability
Education
Rutgers University
Mathematics, Ph.D.
Ph.D. dissertation: Applications and Variations of Domination in Graphs
Piscataway, NJ
1995 - 2000
Duke University
Durham, NC
Mathematics, B.Sc.
1991 - 1995
Senior thesis: Knot Theory and the Human Pretzel Game
Graduated summa cum laude, also completed degree requirements for a B.A. in history.
University of Warwick
Coventry, England
Study Abroad
1993 - 1994
Courses in mathematics and British history. Received first honors in all math courses.
Industry Experience
RAND
Santa Monica, CA
Mathematician
10/00 – 7/11, 2/13 - present
Mathematician (Adjunct)
7/11 – 2/13
Graduate Student Summer Associate
6/97 - 8/97, 6/98 - 8/98
Most recent work involved developing models to help determine the effectiveness of the Joint IED Defeat Organization’s investment
portfolio, determining US Army force sufficiency with uncertain future demands, and a model which finds risk-minimizing paths for
aircraft in threat environments containing early-warning radars, surface-to-air missiles, and air interceptors. Other recent projects
include simulating attacks against airbases and estimating the recovery time of the airbase, and determining the optimal global
placement of army materiel to minimize response times to conflicts.
As a summer intern, I developed models of traffic flow for use in an evaluation of probabilistic data association methods for tracking
ground vehicles by satellite (1998) and developed models to evaluate survivability of proliferated autonomous weapons against antiaircraft artillery and their suitability for particular missions (1997).
Jane Street Capital
New York, NY
Trader, Fixed Income Desk
7/11 – 1/13
Responsible for trading municipal bonds as well as US and foreign treasury bonds. I have developed tools in Excel, SQL, and OCAML to
improve data analysis and trading processes on the desk. I have also taught classes on bonds to the firm and assisted with recruiting.
Institute for Defense Analysis, Center for Computing Sciences
Bowie, MD
Researcher
6/96 - 8/96
Researched issues in computer and network security.
Developed tools and algorithms to detect similarities between sections of text or computer code.
National Security Agency
Mathematics Student, Director’s Summer Program
Researched mathematical problems in cryptography.
Fort Meade, MD
6/93 - 8/93, 6/95 - 8/95
Computing Skills
Most of recent programming in VB.NET, Visual Basic, and OCAML. Past work in C++, FORTRAN, and Pascal.
Working knowledge of SQL, GAMS, HTML, Perl, Extend, Analytica, Mathematica, Matlab, and Maple.
Teaching Experience
Instructor: Math for Policy Analysis (Pardee RAND Graduate School, 2005-2011), Math Zoom Academy (2008-2011), Systems and
Signals (UCLA EE Department, 2004), Applied Numerical Computing (UCLA EE Department, 2002), Combinatorics (Rutgers,
2000), Calculus I (Rutgers, 1999).
Teaching Assistant: Workshop Calculus II (1999), Workshop Calculus I (1998), Calculus I (1996).
Science Mentor, Roosevelt Elementary School, New Brunswick, NJ, 1996.
Tutor for First-Year Students, University of Warwick, 1993-1994.
Teaching Assistant, Algebra II and Pre-Calculus, Talent Identification Program Summer Residential Program, Duke University, 1992.
Conference Talks
INFORMS Annual Meeting, Austin, TX, 2010. Invited speaker on National Security Research at RAND.
DIMACS Workshop on Applications of Order Theory to Homeland Defense and Computer Security, Piscataway, NJ, 2004.
Invited Speaker on Mathematics Research at RAND.
DIMACS Meeting on Modeling Social Responses to Bio-terrorism Involving Infectious Agents, Piscataway, NJ, 2003. Invited
Speaker on Modeling Lessons Learned from the SARS Outbreak.
ASA Joint Statistical Meetings, New York, NY, 2002. Invited speaker at Special Session on Meeting the Challenges of a
Changing Energy Industry.
MAA/AMS Joint Mathematics Meetings, Washington, DC, 2000. Invited speaker at Special Session on Consensus Methods.
NSA Director’s Summer Program Tenth Anniversary Conference, 1999.
Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, 1997.
Workshop on Graph Theory, Elgersburg, Germany, 1996.
Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Baton Rouge, FL, 1996.
MAA/AMS Joint Mathematics Meetings, Burlington, VT, 1995.
MAA/AMS/CMS Joint Mathematics Meetings, Vancouver, BC, 1993.
Seminar Talks
MathZoom Summer Program, 2008-2013. Duke University, 2007. Whittier College, 2005. Loyola Marymount University,
2005. Clemson University, 1999. University of Alabama-Huntsville, 1999. RAND, 1998-2001. College of Staten Island, 1997.
DIMACS Young Scholars Program, 1997. University of Maryland-College Park, 1996. National Security Agency, 1996.
Rutgers University, 1996-2000. North Carolina School of Science and Mathematics, 1995-1999.
Recent RAND Publications
(with P. Davis, et. al) Reflecting Warfighter Needs in Air Force Programs: Prototype Analysis, TR-754-AF, 2010.
(with M. Kennedy, et. al) USAF Intratheather Airlift Force Mix Analysis, MG-824-AF, 2010.
(with P. Davis) RAND's Portfolio Analysis Tool (PAT): Theory, Methods, and Reference Manual, TR-756-OSD, 2009.
(with E. Chan, et. al) The RSS-POD Supply Chain Management Game: An Exercise for Improving the Inventory Management and
Distribution of Medical Countermeasures, WR-661-DHHS, 2009.
(with R. Hillestad, et. al) Identity Crisis: An Examination of the Costs and Benefits of a Unique Patient Identifier for the U.S. Health
Care System, MG-753-HLTH, 2008.
Weapon Effectiveness When Supported by Onboard and Offboard Sensors, TR-148-AF, 2006.
(with J. Chow, et. al) Protecting Commercial Aviation Against the Shoulder-Fired Missile Threat, OP-106-RC, 2005.
Journal Publications
(with F. Roberts) “Irreversible k-threshold processes: Graph-theoretical threshold models of the spread of disease and of opinion”,
Discrete Applied Mathematics, 157 (2009), 1615-1627.
(with E. Cockayne, S.M. Hedetniemi, and S.T. Hedetniemi) “Roman Domination in Graphs”, Discrete Mathematics, 278
(2004), 11-22.
(with C. Malon and J. Nesetril) “Universal H-colorable Graphs Without a Given Configuration”, Discrete Mathematics, 250
(2002), 245-252.
(with T. Biedl) “Rectangle Breaking in Grids”, Congressus Numerantium, 128 (1997), 19-32.
“Knot Theory and the Human Pretzel Game”, Congressus Numerantium, 122 (1996), 99-108.
Technical Reports
(with X.R. Yong) “The Adjacency Matrix and Spectrum of a Graph with Negative Third Largest Eigenvalue”, DIMACS
Technical Report 99-45.
Other Publications
Book review, Stochastic Modeling: Analysis and Simulation by Barry Nelson, Interfaces, 27, #3 (1996), 119-121.
“You Want to Know What? Sensitive Question Polling Techniques”, Speaking Discretely, #8 (1996), p. 9.
Service and Activities
Taste of the Nation Volunteer, 2001-2003. Volunteer Coordinator and Board Member, 2003-present.
American Regions Mathematics League, President, 2013-present. ARML Local Coordinator and Writer, 2008-present.
Western Site Coordinator, 1998-2001, 2006-present. Director of Development, 2001-2006. North Carolina Team Coach, 19921996. Question Writer, 1998-present.
West Los Angeles Community Action Center, Story Hour Coordinator/Participant, 1997-2007.
DIMACS/DIMATIA Research Experience for Undergraduates, Program Coordinator, 1998-1999.
Rutgers Academic Challenge, Head Judge and Question Writer, 1998-1999.
TA Liaison Committee, Representative, 1998-1999.
Mathematics Graduate Student Association, President, 1996-1999.
DIMACS Mixers Speaker Series, Organizer, 1998.
Gelfand Correspondence Program in Mathematics, Mentor, 1995-1996.
Honors and Awards
TA Teaching Excellence Award, Rutgers Mathematics Department, 1998.
Julia Dale Award for Undergraduate Mathematics, Duke University, 1995.
COMAP Mathematical Contest in Modeling: Honorable Mention (Top 30%) 1991 and 1992, Meritorious (Top 15%) 1993 and 1995.
Grants and Research Support
Office of Naval Research AASERT Award, 1996.
DIMACS Science and Technology Center Grant, 1997.
DIMACS Special Year in Molecular Biology Grant, 1997.