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- Dr Andrew Neate

I am a Staff Tutor in the School of Mathematics and Statistics.

I studied Mathematics at Swansea University and completed a PhD in Stochastic Analysis before going to work in the insurance industry. I returned to academia in 2007 as a Lecturer in Mathematics at Swansea University. I joined the Open University in autumn 2021.

My background is in probability theory and stochastic analysis together with their application to problems from mathematical physics. In the past I have worked on Feynman-Kac formula representations of the solutions of stochastic Burgers, Hamilton-Jacobi and heat equations in the limit of vanishing viscosity. More recently I have worked on the correspondence limit of stationary states in the context of stochastic mechanics with a particular focus on the Coulomb problem. I am currently involved in several projects applying probability theory to modelling in animal movement and foraging.

I am also involved in mathematics education research with past projects looking at the transition from school to university mathematics and current ongoing projects looking at teaching and outreach through the pandemic.

I have written and taught courses in many areas of applied mathematics including classical mechanics, quantum mechanics, analytical dynamics, electromagnetics, mathematical modelling, diffrerential equations, numerical analysis and probability theory.

Currently I am on the module teams for MST125 "Essential Mathematics" and M343 "Applications of Probability".

I have been involved in mathematics outreach work for a number of years in collaboration with the Further Mathematics Support Programme Wales (FMSPW). In particular I have delivered workshops and masterclasses across Wales, participated in the Urdd Eisteddfod and Swansea Science Festival and regularly presented at the Royal Institute Maths Masterclass series in South West Wales.

I am an Honorary Research Associate in the Mathematics Department at Swansea University.

Further Mathematics, student choice and transition to university: part 2—non-mathematics STEM degrees (2021-09)

Lyakhova, Sofya and Neate, Andrew

Teaching Mathematics and its Applications: An International Journal of the IMA, 40(3) (pp. 210-233)

Further Mathematics, student choice and transition to university: part 1 - Mathematics degrees (2019-12)

Lyakhova, Sofya and Neate, Andrew

Teaching Mathematics and its Applications: An International Journal of the IMA, 38(4) (pp. 167-190)

Wind prevents cliff-breeding birds from accessing nests through loss of flight control (2019)

Shepard, Emily; Cole, Emma-Louise; Neate, Andrew; Lempidakis, Emmanouil and Ross, Andrew

eLife, 8

Luck in Food Finding Affects Individual Performance and Population Trajectories (2018)

Wilson, Rory P.; Neate, Andrew; Holton, Mark D.; Shepard, Emily L.C.; Scantlebury, D. Michael; Lambertucci, Sergio A.; di Virgilio, Agustina; Crooks, Elaine; Mulvenna, Christina and Marks, Nikki

Current Biology, 28(23) (pp. 3871-3877.e5)

Choosing Further Mathematics (2016)

Tanner, Howard; Lyakhova, Sofya and Neate, Andrew

Cylchgrawn Addysg Cymru / Wales Journal of Education, 18(2)

Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem (2014)

Neate, Andrew and Truman, Aubrey

Journal of Physics A: Mathematical and Theoretical, 47, Article 225302(22)

A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn (2013)

Neate, Andrew and Truman, Aubrey

Journal of Mathematical Physics, 54, Article 33512(3)

The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications (2011)

Neate, Andrew; Reasons, Scott and Truman, Aubrey

Journal of Mathematical Physics, 52(8) (p 83512)

The correspondence limit of the atomic elliptic state (2008-11)

Durran, R.; Neate, A.; Truman, A. and Wang, F.-Y.

EPL (Europhysics Letters), 84, Article 30003(3)

The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state (2008)

Durran, Richard; Neate, Andrew and Truman, Aubrey

Journal of Mathematical Physics, 49, Article 32102(3)

On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state (2008)

Durran, Richard; Neate, Andrew; Truman, Aubrey and Wang, Feng-Yu

Journal of Mathematical Physics, 49(10) (p 102103)

Geometric Properties of the Maxwell Set and a Vortex Filament Structure for Burgers Equation (2007)

Neate, A. D. and Truman, A.

Letters in Mathematical Physics, 80(1) (pp. 19-35)

A One Dimensional Analysis of Turbulence and Its Intermittence for the *d*-dimensional Stochastic Burgers Equation (2007)

Neate, Andrew and Truman, Aubrey

Markov Processes and Related Fields, 13(2) (pp. 213-238)

A one-dimensional analysis of real and complex turbulence and the Maxwell set for the stochastic Burgers equation (2005)

Neate, A. D. and Truman, A.

Journal of Physics A: Mathematical and General, 38(32) (pp. 7093-7127)

Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter

Neate, Andrew and Truman, Aubrey

Journal of Mathematical Physics, 57, Article 52103(5)

A Burgers-Zeldovich Model for the Formation of Planetesimals via Nelson's Stochastic Mechanics (2012)

Durran, Richard; Neate, Andrew; Truman, Aubrey and Smolyanov, Oleg

In: Zhao, Huaizhong and Truman, Aubrey eds. *New Trends in Stochastic Analysis and Related Topics*. Interdisciplinary Mathematical Sciences (pp. 127-139)

Publisher : World Scientific

Hamilton-Jacobi Theory and the Stochastic Elementary Formula (2012)

Neate, Andrew and Truman, Aubrey

In: Zhao, Huaizhong and Truman, Aubrey eds. *New Trends in Stochastic Analysis and Related Topics*. Interdisciplinary Mathematical Sciences (pp. 399-437)

Publisher : World Scientific

On the Stochastic Burgers Equation and Some Applications to Turbulence and Astrophysics (2008)

Neate, Andrew and Truman, Aubrey

In: Morters, Peter; Moser, Roger; Penrose, Mathew; Schwetlick, Hartmut and Zimmer, Johannes eds. *Analysis and Stochastics of Growth Processes and Interface Models* (pp. 281-305)

ISBN : 978-0-19-923925-2 | Publisher : Oxford University Press | Published : Oxford

A One-Dimensional Analysis of Singularities and Turbulence for the Stochastic Burgers Equation in d Dimensions (2008)

Neate, Andrew and Truman, Aubrey

In: Dalang, Robert; Russo, Francesco and Dozzi, Marco eds. *Seminar on Stochastic Analysis, Random Fields and Applications V*. Progress in Probability (pp. 305-330)

ISBN : 978-3-7643-8458-6 | Publisher : Birkhauser

Secondary students engaging in a live online enrichment programme (2021-06)

Lyakhova, Sofya; Neate, Andrew; Durbin, Samantha and Dorris, Rachel

In : Proceedings of the British Society for Research into Learning Mathematics (5/6/2021, Online)

Learning from the pandemic: Capitalising on opportunities and overcoming challenges for mathematics teaching and learning practices with and through technology (2021)

Clark-Wilson, Alison; Bretscher, Nicola; Crisan, Cosette; Geraniou, Eirini; Gono, Ebert; Neate, Andrew and Shore, Chris

In : Proceedings of the British Society for Research into Learning Mathematics (5/6/2021, Online)

Further Mathematics and the transition between school and university mathematics

Lyakhova, Sofya and Neate, Andrew

In : Mathematics Education beyond 16: Pathways and Transitions (10/7/2017-12/7/2017, University of Birmingham)