Dashiell E.A. Fryer
Curriculum Vitæ
Contact Information
Department of Mathematics
Pomona College
640 North College Avenue
Claremont, CA 91711
Phone: (909) 621-8918
E-mail: Dashiell.Fryer@Pomona.edu
Web: http://pages.pomona.edu/~def04747
Employment
2012 - Current Postdoctoral Fellow, Pomona College
Education
University of Illinois at Urbana-Champaign, Urbana, IL
August 2005 - December 2011
Ph.D. Mathematics, December 2011
Thesis Adviser: Robert G. Muncaster
Thesis Title: ��General Incentives in Finite Game Theory��
M.S. Mathematics, 2010
San Jose State University, San Jose, CA
August 2002 - May 2006, GPA: 3.69/4.00
B.S. Computer Science, Major GPA: 3.58/4.00
B.A. Mathematics, Major GPA: 3.82/4.00
Essex County College, Newark, NJ
January 2000 - June 2002, GPA: 3.75/4.00
A.A.S. Mathematics, Major GPA: 4.00/4.00, High Honors
Publications
Accepted
The Art of War: Beyond Memory-one Strategies in Population Games with Marc Harper and
Christopher Lee. arXiv preprint arXiv:1405.4327 (2014). (accepted: PLOS ONE)
Stability of Evolutionary Dynamics on Time Scales with Marc Harper. arXiv preprint arXiv:1210.5539
(2012). (accepted: Dynamic Games and Applications)
Submitted
��Stationary Stability for Evolutionary Dynamics in Finite Populations�� with Marc Harper. arXiv
preprint arXiv:1311.0941 (2013). (submitted: Journal of Dynamics and Games)
��Incentive Processes in Finite Populations�� with Marc Harper. arXiv preprint arXiv:1306.2389
(2013). (submitted: Journal of Theoretical Biology)
��Mean Evolutionary Dynamics for Stochastically Switching Environments�� with Marc Harper and
Andrew Vlasic. arXiv preprint arXiv:1306.2373 (2013). (submitted: Theoretical Population
Biology)
��The Kullback-Liebler Divergence as a Lyapunov Function for Incentive Based Game Dynam-
ics.�� arXiv preprint arXiv:1207.0036 (2012). (submitted: SIAM Journal on Control and
Optimization)
��The Uniform Distribution in Incentive Dynamics.�� arXiv preprint arXiv:1207.0037 (2012). (sub-
mitted: Games and Economic Behavior)
��On the Existence of General Equilibrium in Finite Games and General Game Dynamics.�� arXiv
preprint arXiv:1201.2384 (2012). (submitted: Journal of Economic Theory)
Work in Progress
��The Impossibility of Convergence to Optimal Strategy in Rock Paper Scissor Game in Continuous
Payoff Positive Dynamics�� with Thalia Spinrad.
��Entropic Equilibria Selection of Stationary Extrema in Finite Populations�� with Marc Harper.
��Evolution on Random Graphs�� with Alana Shine and Marc Harper.
��Vaccinations for Epidemics: A Game Theoretic Approach�� with Jessica Vincent.
Other Scholarly Works
Dashiell Fryer, Klaus Witz (2004). Visualizing Chaos in Classic Dynamical Systems. Unpublished.
Goldston, D. A., & Yildirim, C. Y. (2007). Higher correlations of divisor sums related to primes
III: Small gaps between primes. Proceedings of the London Mathematical Society, 95(3),
653-686. (Acknowledged as a contributor)
Supervision of Undergraduate Research
Summer Research
Maximilian Hoffman (2013). Evolutionary Dynamics of Chemical Reactions. Funded by Kenneth
Cooke Memorial Fund.
Senior Thesis
Names in bold received distinction for their work.
Erika Parks (2013). Using Survival Models to Predict Recidivism.
Grant Stafford (2013). Information Theoretic Connections between Game Theory and Machine
Learning.
Jessica Vincent (2013). Evolutionary Dynamics and Population Games.
Erick Deras (2014). Game Theory Applied to Games: On How Checkers is More Complex
Than It Appears.
Alana Shine (2014). Evolutionary Graph Theory.
Durrell O��Neal (2014). Causality and Statistics.
Teaching Experience
Pomona College
Calc II, III, & Calculus II with Applications to the Life Sciences, Vector Calculus, Differential
Equations and Modeling, Introduction to Analysis, Linear Algebra
University of Illinois
Traditional Discussion Calculus I, and Calculus III.
Merit Discussion Calculus I and II, Preparation for Calculus, Differential Equations.
Small Lecture/Discussion Calculus II.
Large Lecture Differential Equations Plus
Grading Complex Variables, Partial Differential Equations (Graduate Level).
Tutoring Preparation for Calculus.
Outreach
2015 Richard Tapia Celebration of Diversity in Computing Scholarship Referee.
Minisymposium on Theoretical and Numerical Results in Dynamical Systems Workshop
Celebrating Diversity, SIAM Annual Meeting, Chicago, IL. July 9, 2014.
Unifying the Equations of Life: Time Scale Calculus and Evolutionary Dynamics. (invited).
2014 Pomona Academy for Youth Success (PAYS) Rising 11th grade Math Instructor for
high acheiving underrepresented minority high school students in the Pomona area.
2006 & 2010 Underrepresented Programs Seminar Invited to SJSU to speak to the under-
represented programs (including MARC and McNair Scholars) on succeeding in graduate
school and my own research.
2008 & 2009 Summer Math Enrichment Program Coordinated a summer program for mid-
dle school students from the Champaign Unit 4 School District. The program doubled as
preparation for mostly low income and underrepresented students and also as professional
development for their instructors.
2001-2002 Essex County College Peer tutor for Physics, Mathematics, and Computer Science
to a predominantly underrepresented student base.
Presentations
Contributed Paper Session on Evolution and Ecology, SIAM Life Science, Charlotte, NC.
August 6, 2014.
The Information Player: a Novel Strategy That Dominates Zero Determinant and Other
Known Strategies in Multiplayer Evolutionary Games.
Contributed Paper Session on Evolution and Ecology, SIAM Life Science, Charlotte, NC.
August 6, 2014.
Evolutionary Stability for Evolutionary Dynamics in Finite Populations.
Minisymposium on Theoretical and Numerical Results in Dynamical Systems Workshop
Celebrating Diversity, SIAM Annual Meeting, Chicago, IL. July 9, 2014.
Unifying the Equations of Life: Time Scale Calculus and Evolutionary Dynamics. (invited).
Contributed Paper Session on Probability and Statistics, SIAM Annual Meeting, Chicago,
IL. July 8, 2014.
Evolutionary Stability for Evolutionary Dynamics in Finite Populations.
AMS Session on Probability and Stochastic Dynamical Systems, Joint Math Meeting, Bal-
timore, MD. January 18, 2014.
Evolutionary Stability in Finite Populations.
Mathematics of Social Learning, IPAM Poster Session, Los Angeles, CA. January 6-7, 2014.
Winning Populations Games with Machine Learning and Statistical Inference.
Special Session on Teaching ODEs: Best Practices from CODEE AMS Western Fall Sec-
tional Meeting, Riverside, CA. Nov 2, 2013.
Constructing Jordan Forms.
Contributed Paper Session SIAM Conference on Application of Dynamical Systems, Snowbird,
UT. May 21, 2013.
Time-Scale Lyapunov Functions for Incentive Dynamics on Riemannian Geometries.
Claremont Colleges Mathematics Colloquium, Harvey Mudd College, Claremont, CA. April
17, 2013.
Unifying the Equations of Life: Time Scale Calculus and Evolutionary Dynamics. (invited).
Applied Math Seminar, Claremont Center for Mathematics Sciences, Claremont McKenna Col-
lege, Claremont, CA. February 20, 2013.
Time-Scale Lyapunov Functions for Incentive Dynamics on Riemannian Geometries. (in-
vited).
AMS Contributed Paper Session, Joint Math Meeting, San Diego, CA. January 9, 2013.
Time-Scale Lyapunov Functions for Incentive Dynamics on Riemannian Geometries.
Claremont Colleges Mathematics Colloquium, Pomona College, Claremont, CA. April 12,
2012.
General Incentives in Finite Game Theory. (invited)
Info/Evo Seminar, University of California - Los Angeles, Los Angeles, CA. November 14, 2011.
General Incentives in Game Theory (invited)
Mathematics Colloquium, San Jose State University, San Jose, CA. April 27, 2011.
General Incentives in Game Theory (invited)
Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, Urbana, IL. April
22, 2011.
General Incentives in Game Theory
Underrepresented Programs Seminar, San Jose State University, San Jose, CA. 2010.
Graduate School: A Survival Guide (invited)
Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, Urbana, IL. October
2, 2009. An Introduction to Game Theory: The Nash Equilibrium
Evolutionary Game Theory Seminar, University of Illinois at Urbana-Champaign, Urbana,
IL. 2009. Existence of General Equilibrium in Finite Games
Evolutionary Game Theory Seminar, University of Illinois at Urbana-Champaign, Urbana,
IL. 2008.
Two Proofs for the Existence of Nash Equilibrium in Finite Games and Possible Extensions
Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, Urbana, IL. April
18, 2007.
Game Theory in Political Science
Underrepresented Programs Seminar, San Jose State University, San Jose, CA. 2006.
Graduate School: Year One (invited)
Northern California Undergraduate Mathematics Conference, Sonoma State University,
Rohnert Park, CA. April 16, 2005.
Small Gaps Between Primes
Annual Biomedical Research Conference for Minority Students, Dallas, TX. December 11,
2004.
Visualizing Chaos in Classic Dynamical Systems
Oral Presentation, SROP, University of Illinois at Urbana-Champaign, Champaign, IL. August
2004.
Visualizing Chaos in Classic Dynamical Systems
Roundtable Discussion, CIC Conference, University of Iowa, Iowa City, IA. July 2004.
Visualizing Chaos in Classic Dynamical Systems
Research Experience
Institute for Pure and Applied Mathematics Mathematics of Social Learning Workshop, Jan-
uary 2014.
Institute for Pure and Applied Mathematics Algorithmic Game Theory Workshop, January
2011.
National Science Foundation Research Experience for Graduate Students (REGS) Summer
Research Fellow, 2010.
San Jose State University Department of Mathematics, San Jose, CA. Research trainee (with
Dr. Goldston), June 2003 - August 2005.
University of Illinois at Urbana-Champaign Department of Curriculum and Instruction, Sum-
mer Research Opportunities Program (SROP) participant (with Dr. Witz), June 2004 -
August 2004.
Professional Service
Pomona College
Community of Ordinary Differential Equations Educators (CODEE) Journal Associate Ed-
itor for Submissions 2013 - present.
University of Illinois
Graduate Affairs Committee, 2010-2011
Undergraduate Affairs Committee, 2009-2010
Illinois Council of Teachers Mathematics State Finals Competition Oral Presentation Judge,
2008
Mentor for first time Merit teaching assistants
(mentored 5 Merit TA��s)
Awards and Honors
Pomona College
NSF Travel Award - SIAM Annual Meeting, 2014
IPAM Registration Award - Mathematics of Social Learning, 2014
NSF Early Career Travel Award - SIAM Conference on Dynamical Systems and its Appli-
cations, 2013
University of Illinois
Graduate Teaching Certificate, 2011
NSF Travel Award - IPAM Workshop: Algorithmic Game Theory, 2011
NSF REGS Summer Research Fellow, 2010
NSF Travel Award - IMA Special Workshop: Career Opportunities for Underrepresented
Groups in Mathematical Sciences, 2010
Graduate College Fellow, 2005-2007 and 2009-2010
Summer Research Opportunities Program, 2004
Named to the List of Teachers Ranked as Excellent by Their Students
(4 of 5 semesters, rated outstanding 2 times)
San Jose State University
Dean��s Scholar, 2005
The Hoggart Award for Outstanding Research Potential, 2005
The Morton Future Teacher Award, 2004
Minority Access to Research Careers (MARC) Research Traineeship, 2003-2005
Essex County College
Open Door Foundation Scholarship, 2002
Dean��s List (4 semesters)
