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## Timothy P. Killingback

Associate Professor

Ph.D., Mathematical Physics
Edinburgh University (Scotland)

Contact Information:

Office: Science 3-174
Phone: (617) 287-6464
Email: timothy.killingback

Spring 2018 Office Hours:

On leave Spring 2018.

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Professional Interests: Mathematical biology, evolutionary dynamics, dynamical systems, and game theory.

Publications:

 2016 Evolution of Cooperation in Social Dilemmas on Complex Networks. PLOS Computational Biology 12 (2016), [Iyer, Swami and Killingback, Timothy] Evolutionary dynamics of a smoothed war of attrition game. J. Theoret. Biol. 396 (2016), 25--41, [Iyer, Swami and Killingback, Timothy] 2015 The importance of delineating networks by activity type in bottlenose dolphins (Tursiops truncatus) in Cedar Key, Florida. Royal Society Open Science 2 (2015), 140263--140263, [Gazda, Stefanie and Iyer, Swami and Killingback, Timothy and Connor, Richard and Brault, Solange] 2014 An Application of Evolutionary Game Theory to Social Dilemmas: The Traveler ' s Dilemma and the Minimum Effort Coordination Game. PLOS One 9 (2014), [Iyer, Swami and Reyes, Joshua and Killingback, Timothy] Evolutionary dynamics of the traveler's dilemma and minimum-effort coordination games on complex networks. Physical Review E 90 (2014), [Iyer, Swami and Killingback, Timothy] 2013 Competitively coupled maps and spatial pattern formation. Physical Review E 87 (2013), [Killingback, Timothy and Loftus, Gregory and Sundaram, Bala] Attack Robustness and Centrality of Complex Networks. PLOS One 8 (2013), [Iyer, Swami and Killingback, Timothy and Sundaram, Bala and Wang, Zhen] Spatial heterogeneity promotes coexistence of rock-paper-scissors metacommunities. Theoretical Population Biology 86 (2013), 1--11, [Schreiber, Sebastian J. and Killingback, Timothy P.] A comment on Towards a rigorous framework for studying 2-player continuous games'' by Shade T. Shutters, Journal of Theoretical Biology 321, 40--43, 2013. J. Theoret. Biol. 336 (2013), 240--241, [Doebeli, Michael and Hauert, Christoph and Killingback, Timothy] 2010 A statistical construction of power-law networks. Int. J. Parallel Emergent Distrib. Syst. 25 (2010), no. 3, 223--235, [Ghadge, Shilpa and Killingback, Timothy and Sundaram, Bala and Tran, Duc A.] 2006 Evolution in group-structured populations can resolve the tragedy of the commons. Proceedings Of The Royal Society B-Biological Sciences 273 (2006), 1477--1481, [Killingback, T and Bieri, J and Flatt, T] Scale-free extinction dynamics in spatially structured host-parasitoid systems. J. Theoret. Biol. 241 (2006), no. 4, 745--750, [Killingback, Timothy and Blok, Hendrik J. and Doebeli, Michael] 2005 Evolution of cooperation by generalized reciprocity. Proceedings Of The Royal Society B-biological Sciences 272 (2005), 1115--1120, [Pfeiffer, T and Rutte, C and Killingback, T and Taborsky, M and Bonhoeffer, S] Spatial models of virus-immune dynamics. J. Theoret. Biol. 233 (2005), no. 2, 221--236, [Funk, Georg A. and Jansen, Vincent A. A. and Bonhoeffer, Sebastian and Killingback, Timothy] 2004 The evolutionary origin of cooperators and defectors. Science 306 (2004), 859--862, [Doebeli, M and Hauert, C and Killingback, T] Effects of neighbourhood size and connectivity on the spatial continuous prisoner's dilemma. J. Theoret. Biol. 231 (2004), no. 1, 97--106, [Ifti, Margarita and Killingback, Timothy and Doebeli, Michael] 2003 Metapopulation dynamics with quasi-local competition. Theoretical Population Biology 64 (2003), 397--416, [Doebeli, M and Killingback, T] 2002 The continuous prisoner's dilemma and the evolution of cooperation through reciprocal altruism with variable investment. American Naturalist 160 (2002), 421--438, [Killingback, T and Doebeli, M] 2001 Spatial Ultimatum Games, collaborations and the evolution of fairness. Proceedings Of The Royal Society B-Biological Sciences 268 (2001), 1797--1801, [Killingback, T and Studer, E] 1999 Raise the stakes' evolves into a defector. Nature 400 (1999), 518--518, [Killingback, T and Doebeli, M] Variable investment, the Continuous Prisoner's Dilemma, and the origin of cooperation. Proceedings Of The Royal Society B-Biological Sciences 266 (1999), 1723--1728, [Killingback, T and Doebeli, M and Knowlton, N] Evolution of cooperation in spatially structured populations. Journal Of Theoretical Biology 200 (1999), 405--417, [Brauchli, K and Killingback, T and Doebeli, M] 1998 Self-organized criticality in spatial evolutionary game theory. Journal Of Theoretical Biology 191 (1998), 335--340, [Killingback, T and Doebeli, M] 1996 Spatial evolutionary game theory: Hawks and Doves revisited. Proceedings Of The Royal Society B-Biological Sciences 263 (1996), 1135--1144, [Killingback, T and Doebeli, M] 1992 Quantization Of Sl(2,R) Chern-Simons Theory. Communications In Mathematical Physics 145 (1992), 1--16, [Killingback, Tp] Quantization of ${\rm SL}(2,{\bf R})$ Chern-Simons theory. Comm. Math. Phys. 145 (1992), no. 1, 1--16, [Killingback, T. P.] 1991 Two-dimensional topological gravity, topological matter and intersection theory on moduli space. Phys. Lett. B 255 (1991), no. 4, 513--520, [Killingback, T. P.] Two-dimensional topological gravity and intersection theory on the moduli space of holomorphic bundles. Phys. Lett. B 260 (1991), no. 3--4, 303--310, [Killingback, T. P.] 1990 Chern-Simons Theory For Compact Nonsemisimple Lie-Groups. Classical And Quantum Gravity 7 (1990), 2179--2193, [Killingback, Tp] Chern-Simons theory for compact nonsemisimple Lie groups. Classical Quantum Gravity 7 (1990), no. 12, 2179--2193, [Killingback, T. P.] 1989 Quantum Chern-Simons theory. Phys. Lett. B 219 (1989), no. 4, 448--456, [Killingback, T. P.] Quantum Yang-Mills theory on Riemann surfaces and conformal field theory. Phys. Lett. B 223 (1989), no. 3--4, 357--364, [Killingback, T. P.] 1988 Global Anomalies, String Theory And Spacetime Topology. Classical And Quantum Gravity 5 (1988), 1169--1185, [Killingback, Tp] Global anomalies, string theory and spacetime topology. Classical Quantum Gravity 5 (1988), no. 9, 1169--1185, [Killingback, T. P.] 1987 String Theory And Loop Space Index Theorems. Communications In Mathematical Physics 111 (1987), 1--10, [Alvarez, O and Killingback, Tp and Mangano, M and Windey, P] Topology Of Gauge-Theories On Compact 4-Manifolds. Classical And Quantum Gravity 4 (1987), 357--373, [Killingback, Tp and Rees, Eg] Global Gravitational Anomalies And Smooth 11-Manifolds. Classical And Quantum Gravity 4 (1987), L71--L74, [Killingback, Tp] Topological sectors in superstring theory. Phys. Lett. B 184 (1987), no. 2--3, 197--201, [Killingback, T. P.] Topology of gauge theories on compact $4$-manifolds. Classical Quantum Gravity 4 (1987), no. 2, 357--373, [Killingback, T. P. and Rees, E. G.] Global gravitational anomalies and smooth $11$-manifolds. Classical Quantum Gravity 4 (1987), no. 3, L71--L74, [Killingback, T. P.] World-sheet anomalies and loop geometry. Nuclear Phys. B 288 (1987), no. 3--4, 578--588, [Killingback, T. P.] String theory and loop space index theorems. Comm. Math. Phys. 111 (1987), no. 1, 1--10, [Alvarez, Orlando and Killingback, T. P. and Mangano, Michelangelo and Windey, Paul] The Dirac-Ramond operator in string theory and loop space index theorems. Nuclear Phys. B Proc. Suppl. 1A (1987), 189--215, [Alvarez, Orlando and Killingback, T. P. and Mangano, Michelangelo and Windey, Paul] 1985 Non-Linear Sigma-Models On Compact Riemann Surfaces. Communications In Mathematical Physics 100 (1985), 481--494, [Killingback, Tp] Global Aspects Of Fixing The Gauge In The Polyakov String And Einstein Gravity. Communications In Mathematical Physics 100 (1985), 267--277, [Killingback, Tp] Spin-C Structures On Manifolds. Classical And Quantum Gravity 2 (1985), 433--438, [Killingback, Tp and Rees, Eg] ${\rm Spin}^c$ structures on manifolds. Classical Quantum Gravity 2 (1985), no. 4, 433--438, [Killingback, T. P. and Rees, E. G.] Global aspects of fixing the gauge in the Polyakov string and Einstein gravity. Comm. Math. Phys. 100 (1985), no. 2, 267--277, [Killingback, T. P.] Nonlinear $\sigma$-models on compact Riemann surfaces. Comm. Math. Phys. 100 (1985), no. 4, 481--494, [Killingback, T. P.] 1984 The Gribov ambiguity in gauge theories on the four-torus. Phys. Lett. B 138 (1984), no. 1--3, 87--90, [Killingback, T. P.]

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