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Timothy P. Killingback
Associate Professor
Ph.D., Mathematical Physics
Edinburgh University (Scotland)
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Contact Information:
Office: Wheatley 3-154-25
Phone: (617) 287-6460
Email: timothy.killingback
Spring 2024 Office Hours:
TBA |

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Professional Interests: Mathematical biology, evolutionary dynamics, dynamical systems, and game theory. Recent Publications:
2020 |
[MR4196262] Evolution of cooperation in social dilemmas with assortative interactions
. Games 11 (2020), no. 4, Paper No. 41, 31 pp. --- Iyer, Swami ; Killingback, Timothy |
2017 |
[PMID28575125] Emergence of local synchronization in neuronal networks with adaptive couplings.
. PLoS One. 2017 Jun 2;12(6):e0178975. --- Chakravartula S, Indic P, Sundaram B, Killingback T. |
2016 |
[PMID26928428] Evolution of Cooperation in Social Dilemmas on Complex Networks
. PLoS Comput Biol. 2016 Feb 29;12(2):e1004779. --- Iyer S, Killingback T. |
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[MR3481046] Evolutionary dynamics of a smoothed war of attrition game
. J. Theoret. Biol. 396 (2016), 25--41. --- Iyer, Swami ; Killingback, Timothy |
2015 |
[PMID26064611] The importance of delineating networks by activity type in bottlenose dolphins (Tursiops truncatus) in Cedar Key, Florida
. R Soc Open Sci. 2015 Mar 11;2(3):140263. --- Gazda S, Iyer S, Killingback T, Connor R, Brault S. |
2014 |
[PMID25375465] Evolutionary dynamics of the traveler's dilemma and minimum-effort coordination games on complex networks
. Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042134. --- Iyer S, Killingback T. |
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[PMID24709851] An application of evolutionary game theory to social dilemmas: the traveler's dilemma and the minimum effort coordination game
. PLoS One. 2014 Apr 7;9(4):e93988. --- Iyer S, Reyes J, Killingback T. |
2013 |
[PMID23565156] Attack robustness and centrality of complex networks
. PLoS One. 2013;8(4):e59613. --- Iyer S, Killingback T, Sundaram B, Wang Z. |
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[MR3118523] 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 ; Hauert, Christoph ; Killingback, Timothy |
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[PMID23474219] Spatial heterogeneity promotes coexistence of rock-paper-scissors metacommunities
. Theor Popul Biol. 2013 Jun;86:1-11. --- Schreiber SJ, Killingback TP. |
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[PMID23496586] Competitively coupled maps and spatial pattern formation
. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):022902. --- Killingback T, Loftus G, Sundaram B. |
2010 |
[MR2668435] A statistical construction of power-law networks
. Int. J. Parallel Emergent Distrib. Syst. 25 (2010), no. 3, 223--235. --- Ghadge, Shilpa ; Killingback, Timothy ; Sundaram, Bala ; Tran, Duc A. |
2006 |
[MR2266747] Scale-free extinction dynamics in spatially structured host-parasitoid systems
. J. Theoret. Biol. 241 (2006), no. 4, 745--750. --- Killingback, Timothy ; Blok, Hendrik J. ; Doebeli, Michael |
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[PMID16777741] Evolution in group-structured populations can resolve the tragedy of the commons
. Proc Biol Sci. 2006 Jun 22;273(1593):1477-81. --- Killingback T, Bieri J, Flatt T. |
2005 |
[PMID15619362] Spatial models of virus-immune dynamics
. J Theor Biol. 2005 Mar 21;233(2):221-36. --- Funk GA, Jansen VA, Bonhoeffer S, Killingback T. |
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[PMID16024372] Evolution of cooperation by generalized reciprocity
. Proc Biol Sci. 2005 Jun 7;272(1568):1115-20. --- Pfeiffer T, Rutte C, Killingback T, Taborsky M, Bonhoeffer S. |
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[MR2127680] Spatial models of virus-immune dynamics
. J. Theoret. Biol. 233 (2005), no. 2, 221--236. --- Funk, Georg A. ; Jansen, Vincent A. A. ; Bonhoeffer, Sebastian ; Killingback, Timothy |
2004 |
[MR2107552] Effects of neighbourhood size and connectivity on the spatial continuous prisoner's dilemma
. J. Theoret. Biol. 231 (2004), no. 1, 97--106. --- Ifti, Margarita ; Killingback, Timothy ; Doebeli, Michael |
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[PMID15514155] The evolutionary origin of cooperators and defectors
. Science. 2004 Oct 29;306(5697):859-62. --- Doebeli M, Hauert C, Killingback T. |
2003 |
[PMID14630478] Metapopulation dynamics with quasi-local competition
. Theor Popul Biol. 2003 Dec;64(4):397-416. --- Doebeli M, Killingback T. |
2002 |
[PMID18707520] The continuous prisoner's dilemma and the evolution of cooperation through reciprocal altruism with variable investment
. Am Nat. 2002 Oct;160(4):421-38. --- Killingback T, Doebeli M. |
2001 |
[PMID11522198] Spatial Ultimatum Games, collaborations and the evolution of fairness
. Proc Biol Sci. 2001 Sep 7;268(1478):1797-801. --- Killingback T, Studer E. |
1999 |
[PMID10525399] Evolution of cooperation in spatially structured populations
. J Theor Biol. 1999 Oct 21;200(4):405-17. --- Brauchli K, Killingback T, Doebeli M. |
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[PMID10518320] Variable investment, the Continuous Prisoner's Dilemma, and the origin of cooperation
. Proc Biol Sci. 1999 Sep 7;266(1430):1723-8. --- Killingback T, Doebeli M, Knowlton N. |
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[PMID10448852] 'Raise the stakes' evolves into a defector
. Nature. 1999 Aug 5;400(6744):518. --- Killingback T, Doebeli M. |
1998 |
[PMID9631572] Self-organized criticality in spatial evolutionary game theory
. J Theor Biol. 1998 Apr 7;191(3):335-40. --- Killingback T, Doebeli M. |
1992 |
[MR1155281] Quantization of SL(2,R) Chern-Simons theory
. Comm. Math. Phys. 145 (1992), no. 1, 1--16. --- Killingback, T. P. |
1991 |
[MR1109871] 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. |
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[MR1095967] Two-dimensional topological gravity, topological matter and intersection theory on moduli space
. Phys. Lett. B 255 (1991), no. 4, 513--520. --- Killingback, T. P. |
1990 |
[MR1087600] Chern-Simons theory for compact nonsemisimple Lie groups
. Classical Quantum Gravity 7 (1990), no. 12, 2179--2193. --- Killingback, T. P. |
1989 |
[MR1000539] Quantum Yang-Mills theory on Riemann surfaces and conformal field theory
. Phys. Lett. B 223 (1989), no. 3-4, 357--364. --- Killingback, T. P. |
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[MR0990225] Quantum Chern-Simons theory
. Phys. Lett. B 219 (1989), no. 4, 448--456. --- Killingback, T. P. |
1988 |
[MR0958995] Global anomalies, string theory and spacetime topology
. Classical Quantum Gravity 5 (1988), no. 9, 1169--1185. --- Killingback, T. P. |
1987 |
[MR0896755] String theory and loop space index theorems
. Comm. Math. Phys. 111 (1987), no. 1, 1--10. --- Alvarez, Orlando ; Killingback, T. P. ; Mangano, Michelangelo ; Windey, Paul |
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[MR0879897] Topology of gauge theories on compact 4-manifolds
. Classical Quantum Gravity 4 (1987), no. 2, 357--373. --- Killingback, T. P. ; Rees, E. G. |
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[MR0892061] World-sheet anomalies and loop geometry
. Nuclear Phys. B 288 (1987), no. 3-4, 578--588. --- Killingback, T. P. |
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[MR1005560] The Dirac-Ramond operator in string theory and loop space index theorems
. Nonperturbative methods in field theory (Irvine, CA, 1987).
Nuclear Phys. B Proc. Suppl. 1A (1987), 189--215. --- Alvarez, Orlando ; Killingback, T. P. ; Mangano, Michelangelo ; Windey, Paul |
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[MR0879235] Topological sectors in superstring theory
. Phys. Lett. B 184 (1987), no. 2-3, 197--201. --- Killingback, T. P. |
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[MR0884585] Global gravitational anomalies and smooth 11-manifolds
. Classical Quantum Gravity 4 (1987), no. 3, {\rm L}71--{\rm L}74. --- Killingback, T. P. |
1985 |
[MR0795089] Spinc structures on manifolds
. Classical Quantum Gravity 2 (1985), no. 4, 433--4381985. --- Killingback, T. P. ; Rees, E. G. |
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[MR0806249] Nonlinear ?-models on compact Riemann surfaces
. Comm. Math. Phys. 100 (1985), no. 4, 481--494. --- Killingback, T. P. |
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[MR0804463] 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. |
1984 |
[MR0740160] 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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Department of Mathematics
University of Massachusetts Boston
Phone: 617-287-6460;
Fax: 617-287-6433
Information: math@umb.edu
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