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
2024 Fall Courses
MATH 374 - STOCHASTIC/DISCRETE BIO MODELS
MATH 790A - DOCT DISSERTATION & RES
MATH 790A - DOCT DISSERTATION & RES
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
MacLaurin, James N. (2023). Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially-Extended Noise. SIAM Applied Mathematics, 83,
MacLaurin, James N., & Adams, Zachary The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties. Journal of Differential Equations, 414(5),
MacLaurin, James N., & Zucal, Giulio, & Kuehn, Christian (2022). Stochastic Rotating Waves. Stochastic Dynamics,
MacLaurin, James N., & Fellous, Jean-Marc, & Thomas, Peter, & Lindner, Benjamin (2022). Stochastic oscillators in biology: introduction to the special issue. Biological Cybernetics, 116,
MacLaurin, James N. (2021). An emergent autonomous flow for mean-field spin glasses. Probability Theory and Related Fields,
MacLaurin, James N., & Adams, Zachary The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties. Journal of Differential Equations, 414(5),
MacLaurin, James N., & Zucal, Giulio, & Kuehn, Christian (2022). Stochastic Rotating Waves. Stochastic Dynamics,
MacLaurin, James N., & Fellous, Jean-Marc, & Thomas, Peter, & Lindner, Benjamin (2022). Stochastic oscillators in biology: introduction to the special issue. Biological Cybernetics, 116,
MacLaurin, James N. (2021). An emergent autonomous flow for mean-field spin glasses. Probability Theory and Related Fields,
SHOW MORE
MacLaurin, James N., & Robinson, Peter (2019). Determination of effective brain connectivity from activity correlations. Phys Rev E ,
MacLaurin, James N., & Bressloff, Paul (2020). Wandering bumps in a stochastic neural fields: a variational approach. Physica D,
MacLaurin, James N., & Bressloff, Paul (2020). Phase Reduction of Stochastic Biochemical Oscillators. SIAM Journal of Applied Dynamical Systems, 19(1), 151-180.
MacLaurin, James N. (2018). Synchronization of stochastic hybrid oscillators driven by a common switching environment. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(12),
MacLaurin, James N., & Salhi, Jamil , & Toumi, Salwa (2018). Mean field dynamics of a Wilson–Cowan neuronal network with nonlinear coupling term. Stochastics and Dynamics, 18(06),
Bressloff, P C, & MacLaurin, James N. (2018). Synchronization of stochastic hybrid oscillators driven by a common switching environment. Chaos: An Interdisciplinary Journal of Nonlinear Science, 1--16.
Bressloff, Paul, & MacLaurin, James N. (2018). Stochastic Hybrid Systems in Cellular Neuroscience. The Journal of Mathematical Neuroscience, 8(1),
Bressloff, Paul, & MacLaurin, James N. (2018). A variational method for analyzing stochastic limit cycle oscillators. SIAM Journal on Applied Dynamical Systems, 17(3), 2205-2233.
Bressloff, Paul, & MacLaurin, James N. (2018). A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Chaos, 28(6),
Mukta, Kamrun N., & MacLaurin, James N., & Robinson, Peter A (2017). Theory of corticothalamic brain activity in a spherical geometry: Spectra, coherence and correlation. Physical Review E, 96,
Inglis, James, & MacLaurin, James N. (2016). A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations. SIAM Journal of Applied Dynamical Systems, 15(1), 195-234.
Faugeras, Olivier, & MacLaurin, James N. (2015). Asymptotic Description of Neural Networks with Correlated Synaptic Weights. Entropy, 17(7), 4701-4743.
Faugeras, Olivier, & MacLaurin, James N. (2014). A Large Deviation Principle and an Expression of the Rate Function for a Discrete Stationary Gaussian Processs. Entropy, 16(12),
Faugeras, Olivier, & MacLaurin, James N. (2014). A Representation of the Relative Entropy with Respect to a Diffusion Process in Terms of Its Infinitesimal Generator. Entropy, 16(12),
Faugeras, Olivier, & MacLaurin, James N. (2014). Asymptotic description of stochastic neural networks. I. Existence of a large deviation principle. Comptes Rendus Mathematique, 352(10), 841-846.
Faugeras, Olivier, & MacLaurin, James N. (2014). Asymptotic description of stochastic neural networks. II. Characterization of the limit law. Comptes Rendus Mathématiques, 352(10), 847-852.
MacLaurin, James N., & Jon, Chapman, & Wyn Jones, Gareth, & Roose, Tiina (2013). The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis. Journal of the Mechanics and Physics of Solids, 61(8),
MacLaurin, James N., & Wyn Jones, Gareth, & Chapman, Steven Jon , & Roose, Tiina (2012). The buckling of capillaries in solid tumors. Proceedings of the Royal Society A, 468(2148), 4123-4145.
MacLaurin, James N., & Bressloff, Paul (2020). Wandering bumps in a stochastic neural fields: a variational approach. Physica D,
MacLaurin, James N., & Bressloff, Paul (2020). Phase Reduction of Stochastic Biochemical Oscillators. SIAM Journal of Applied Dynamical Systems, 19(1), 151-180.
MacLaurin, James N. (2018). Synchronization of stochastic hybrid oscillators driven by a common switching environment. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(12),
MacLaurin, James N., & Salhi, Jamil , & Toumi, Salwa (2018). Mean field dynamics of a Wilson–Cowan neuronal network with nonlinear coupling term. Stochastics and Dynamics, 18(06),
Bressloff, P C, & MacLaurin, James N. (2018). Synchronization of stochastic hybrid oscillators driven by a common switching environment. Chaos: An Interdisciplinary Journal of Nonlinear Science, 1--16.
Bressloff, Paul, & MacLaurin, James N. (2018). Stochastic Hybrid Systems in Cellular Neuroscience. The Journal of Mathematical Neuroscience, 8(1),
Bressloff, Paul, & MacLaurin, James N. (2018). A variational method for analyzing stochastic limit cycle oscillators. SIAM Journal on Applied Dynamical Systems, 17(3), 2205-2233.
Bressloff, Paul, & MacLaurin, James N. (2018). A variational method for analyzing limit cycle oscillations in stochastic hybrid systems. Chaos, 28(6),
Mukta, Kamrun N., & MacLaurin, James N., & Robinson, Peter A (2017). Theory of corticothalamic brain activity in a spherical geometry: Spectra, coherence and correlation. Physical Review E, 96,
Inglis, James, & MacLaurin, James N. (2016). A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations. SIAM Journal of Applied Dynamical Systems, 15(1), 195-234.
Faugeras, Olivier, & MacLaurin, James N. (2015). Asymptotic Description of Neural Networks with Correlated Synaptic Weights. Entropy, 17(7), 4701-4743.
Faugeras, Olivier, & MacLaurin, James N. (2014). A Large Deviation Principle and an Expression of the Rate Function for a Discrete Stationary Gaussian Processs. Entropy, 16(12),
Faugeras, Olivier, & MacLaurin, James N. (2014). A Representation of the Relative Entropy with Respect to a Diffusion Process in Terms of Its Infinitesimal Generator. Entropy, 16(12),
Faugeras, Olivier, & MacLaurin, James N. (2014). Asymptotic description of stochastic neural networks. I. Existence of a large deviation principle. Comptes Rendus Mathematique, 352(10), 841-846.
Faugeras, Olivier, & MacLaurin, James N. (2014). Asymptotic description of stochastic neural networks. II. Characterization of the limit law. Comptes Rendus Mathématiques, 352(10), 847-852.
MacLaurin, James N., & Jon, Chapman, & Wyn Jones, Gareth, & Roose, Tiina (2013). The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis. Journal of the Mechanics and Physics of Solids, 61(8),
MacLaurin, James N., & Wyn Jones, Gareth, & Chapman, Steven Jon , & Roose, Tiina (2012). The buckling of capillaries in solid tumors. Proceedings of the Royal Society A, 468(2148), 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