James MacLaurin
James MacLaurin
Assistant Professor, Mathematical Sciences
614 Cullimore Hall (CULM)
About Me
I was born in Australia, and studied Pure Mathematics and Philosophy for my undergraduate degree at the University of New South Wales. I completed a Phd at Oxford in 2014, under the supervision of Prof. Jon Chapman and Tiina Roose.
Postdoctoral experience at INRIA Sophia Antipolis, France, University of Sydney and University of Utah
Postdoctoral experience at INRIA Sophia Antipolis, France, University of Sydney and University of Utah
Education
Ph.D.; University of Oxford ; ; 2014
B.A.; University of New South Wales; Philosophy; 2007
B.S.; University of New South Wales; Pure Mathematics; 2007
B.A.; University of New South Wales; Philosophy; 2007
B.S.; University of New South Wales; Pure Mathematics; 2007
Office Hours
Monday 2-4 pm
2025 Spring Courses
MATH 792B - PRE DOCTORAL RESEARCH
MATH 790A - DOCT DISSERTATION & RES
MATH 333 - PROBABILITY AND STATISTICS
MATH 373 - INTRO TO MATHEMATICAL BIOLOGY
MATH 790A - DOCT DISSERTATION & RES
MATH 333 - PROBABILITY AND STATISTICS
MATH 373 - INTRO TO MATHEMATICAL BIOLOGY
Teaching Interests
I enjoy teaching a wide range of mathematics. I have taught first year calculus, 3rd year undergraduate mathematical biology, and a graduate course on stochastic processes.
Past Courses
MATH 111: CALCULUS I
MATH 211: CALCULUS III A
MATH 337: LINEAR ALGEBRA
MATH 371: PHYSIOLOGY AND MEDICINE
MATH 373: INTRO TO MATHEMATICAL BIOLOGY
MATH 373: INTRODUCTION TO MATHEMATICAL BIOLOGY
MATH 691: STOCHASTIC PROCESSES
MATH 691: STOCHASTIC PROCESSES WITH APPLICATIONS
MATH 211: CALCULUS III A
MATH 337: LINEAR ALGEBRA
MATH 371: PHYSIOLOGY AND MEDICINE
MATH 373: INTRO TO MATHEMATICAL BIOLOGY
MATH 373: INTRODUCTION TO MATHEMATICAL BIOLOGY
MATH 691: STOCHASTIC PROCESSES
MATH 691: STOCHASTIC PROCESSES WITH APPLICATIONS
Research Interests
Mathematical Biology
Stochastic Processes
Dynamical Systems.
Stochastic Processes
Dynamical Systems.
Journal Article
James N. MacLaurin. 2023. “Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially-Extended Noise.” SIAM Applied Mathematics, vol. 83.
James N. MacLaurin, Zachary Adams. “The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties.” Journal of Differential Equations, vol. 414, no. 5.
James N. MacLaurin, Giulio Zucal, Christian Kuehn. 2022. “Stochastic Rotating Waves.” Stochastic Dynamics.
James N. MacLaurin, Jean-Marc Fellous, Peter Thomas, Benjamin Lindner. 2022. “Stochastic oscillators in biology: introduction to the special issue.” Biological Cybernetics, vol. 116.
James N. MacLaurin. 2021. “An emergent autonomous flow for mean-field spin glasses.” Probability Theory and Related Fields.
James N. MacLaurin, Zachary Adams. “The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties.” Journal of Differential Equations, vol. 414, no. 5.
James N. MacLaurin, Giulio Zucal, Christian Kuehn. 2022. “Stochastic Rotating Waves.” Stochastic Dynamics.
James N. MacLaurin, Jean-Marc Fellous, Peter Thomas, Benjamin Lindner. 2022. “Stochastic oscillators in biology: introduction to the special issue.” Biological Cybernetics, vol. 116.
James N. MacLaurin. 2021. “An emergent autonomous flow for mean-field spin glasses.” Probability Theory and Related Fields.
SHOW MORE
James N. MacLaurin, Peter Robinson. 2019. “Determination of effective brain connectivity from activity correlations.” Phys Rev E .
James N. MacLaurin, Paul Bressloff. 2020. “Wandering bumps in a stochastic neural fields: a variational approach.” Physica D.
James N. MacLaurin, Paul Bressloff. 2020. “Phase Reduction of Stochastic Biochemical Oscillators.” SIAM Journal of Applied Dynamical Systems, vol. 19, no. 1, pp. 151-180.
James N. MacLaurin. 2018. “Synchronization of stochastic hybrid oscillators driven by a common switching environment.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 28, no. 12.
James N. MacLaurin, Jamil Salhi, Salwa Toumi. 2018. “Mean field dynamics of a Wilson–Cowan neuronal network with nonlinear coupling term.” Stochastics and Dynamics, vol. 18, no. 06.
P C Bressloff, James N. MacLaurin. 2018. “Synchronization of stochastic hybrid oscillators driven by a common switching environment.” Chaos: An Interdisciplinary Journal of Nonlinear Science, pp. 1--16.
Paul Bressloff, James N. MacLaurin. 2018. “Stochastic Hybrid Systems in Cellular Neuroscience.” The Journal of Mathematical Neuroscience, vol. 8, no. 1.
Paul Bressloff, James N. MacLaurin. 2018. “A variational method for analyzing stochastic limit cycle oscillators.” SIAM Journal on Applied Dynamical Systems, vol. 17, no. 3, pp. 2205-2233.
Paul Bressloff, James N. MacLaurin. 2018. “A variational method for analyzing limit cycle oscillations in stochastic hybrid systems.” Chaos, vol. 28, no. 6.
Kamrun N. Mukta, James N. MacLaurin, Peter A Robinson. 2017. “Theory of corticothalamic brain activity in a spherical geometry: Spectra, coherence and correlation.” Physical Review E, vol. 96.
James Inglis, James N. MacLaurin. 2016. “A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations.” SIAM Journal of Applied Dynamical Systems, vol. 15, no. 1, pp. 195-234.
Olivier Faugeras, James N. MacLaurin. 2015. “Asymptotic Description of Neural Networks with Correlated Synaptic Weights.” Entropy, vol. 17, no. 7, pp. 4701-4743.
Olivier Faugeras, James N. MacLaurin. 2014. “A Large Deviation Principle and an Expression of the Rate Function for a Discrete Stationary Gaussian Processs.” Entropy, vol. 16, no. 12.
Olivier Faugeras, James N. MacLaurin. 2014. “A Representation of the Relative Entropy with Respect to a Diffusion Process in Terms of Its Infinitesimal Generator.” Entropy, vol. 16, no. 12.
Olivier Faugeras, James N. MacLaurin. 2014. “Asymptotic description of stochastic neural networks. I. Existence of a large deviation principle.” Comptes Rendus Mathematique, vol. 352, no. 10, pp. 841-846.
Olivier Faugeras, James N. MacLaurin. 2014. “Asymptotic description of stochastic neural networks. II. Characterization of the limit law.” Comptes Rendus Mathématiques, vol. 352, no. 10, pp. 847-852.
James N. MacLaurin, Chapman Jon, Gareth Wyn Jones, Tiina Roose. 2013. “The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis.” Journal of the Mechanics and Physics of Solids, vol. 61, no. 8.
James N. MacLaurin, Gareth Wyn Jones, Steven Jon Chapman, Tiina Roose. 2012. “The buckling of capillaries in solid tumors.” Proceedings of the Royal Society A, vol. 468, no. 2148, pp. 4123-4145.
James N. MacLaurin, Paul Bressloff. 2020. “Wandering bumps in a stochastic neural fields: a variational approach.” Physica D.
James N. MacLaurin, Paul Bressloff. 2020. “Phase Reduction of Stochastic Biochemical Oscillators.” SIAM Journal of Applied Dynamical Systems, vol. 19, no. 1, pp. 151-180.
James N. MacLaurin. 2018. “Synchronization of stochastic hybrid oscillators driven by a common switching environment.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 28, no. 12.
James N. MacLaurin, Jamil Salhi, Salwa Toumi. 2018. “Mean field dynamics of a Wilson–Cowan neuronal network with nonlinear coupling term.” Stochastics and Dynamics, vol. 18, no. 06.
P C Bressloff, James N. MacLaurin. 2018. “Synchronization of stochastic hybrid oscillators driven by a common switching environment.” Chaos: An Interdisciplinary Journal of Nonlinear Science, pp. 1--16.
Paul Bressloff, James N. MacLaurin. 2018. “Stochastic Hybrid Systems in Cellular Neuroscience.” The Journal of Mathematical Neuroscience, vol. 8, no. 1.
Paul Bressloff, James N. MacLaurin. 2018. “A variational method for analyzing stochastic limit cycle oscillators.” SIAM Journal on Applied Dynamical Systems, vol. 17, no. 3, pp. 2205-2233.
Paul Bressloff, James N. MacLaurin. 2018. “A variational method for analyzing limit cycle oscillations in stochastic hybrid systems.” Chaos, vol. 28, no. 6.
Kamrun N. Mukta, James N. MacLaurin, Peter A Robinson. 2017. “Theory of corticothalamic brain activity in a spherical geometry: Spectra, coherence and correlation.” Physical Review E, vol. 96.
James Inglis, James N. MacLaurin. 2016. “A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations.” SIAM Journal of Applied Dynamical Systems, vol. 15, no. 1, pp. 195-234.
Olivier Faugeras, James N. MacLaurin. 2015. “Asymptotic Description of Neural Networks with Correlated Synaptic Weights.” Entropy, vol. 17, no. 7, pp. 4701-4743.
Olivier Faugeras, James N. MacLaurin. 2014. “A Large Deviation Principle and an Expression of the Rate Function for a Discrete Stationary Gaussian Processs.” Entropy, vol. 16, no. 12.
Olivier Faugeras, James N. MacLaurin. 2014. “A Representation of the Relative Entropy with Respect to a Diffusion Process in Terms of Its Infinitesimal Generator.” Entropy, vol. 16, no. 12.
Olivier Faugeras, James N. MacLaurin. 2014. “Asymptotic description of stochastic neural networks. I. Existence of a large deviation principle.” Comptes Rendus Mathematique, vol. 352, no. 10, pp. 841-846.
Olivier Faugeras, James N. MacLaurin. 2014. “Asymptotic description of stochastic neural networks. II. Characterization of the limit law.” Comptes Rendus Mathématiques, vol. 352, no. 10, pp. 847-852.
James N. MacLaurin, Chapman Jon, Gareth Wyn Jones, Tiina Roose. 2013. “The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis.” Journal of the Mechanics and Physics of Solids, vol. 61, no. 8.
James N. MacLaurin, Gareth Wyn Jones, Steven Jon Chapman, Tiina Roose. 2012. “The buckling of capillaries in solid tumors.” Proceedings of the Royal Society A, vol. 468, no. 2148, pp. 4123-4145.
COLLAPSE
Conference Abstract
“Stochastic Oscillations in Biology”
American Physical Society, 2022.
American Physical Society, 2022.
Conference Proceeding
“The Effect of Stochastic Bursting on Biological Clock Precision”
European Control Conference Proceedings, May 2020.
European Control Conference Proceedings, May 2020.