Mathematics
Welcome to the research outputs of the University of Exeter College of Engineering, Mathematics and Physical Sciences, Department of Mathematics
Recent Submissions

The importance of modeling epileptic seizure dynamics as spatiotemporal patterns.
(Frontiers Media, 20120717)The occurrence of seizures is the common feature across the spectrum of epileptic disorders. We describe how the use of mechanistic neural population models leads to novel insight into the dynamic mechanisms underlying two ... 
Vortex Erosion in a Shallow Water Model of the Polar Vortex
(Elsevier, 20170413)The erosion of a model stratospheric polar vortex in response to bottom boundary forcing is investigated numerically. Stripping of filaments of air from the polar vortex has been implicated in the occurrence of stratospheric ... 
Collisionality scaling of the electron heat flux in ETG turbulence
(IOP Publishing, 20170316)In electrostatic simulations of MAST plasma at electrongyroradius scales, using the local fluxtube gyrokinetic code GS2 with adiabatic ions, we find that the longtime saturated electron heat flux (the level most relevant ... 
Universal Test, Treat, and Keep: Improving ART Retention is Key in Costeffective HIV Control in Uganda
(BioMed Central, 2017)Background: With ambitious new UNAIDS targets to end AIDS by 2030, and new WHO treatment guidelines, there is increased interest in the best way to scaleup ART coverage. We investigate the costeffectiveness of various ... 
Acetylcholine modulates gamma frequency oscillations in the hippocampus by activation of muscarinic M1 receptors
(Wiley, 20170312)Modulation of gamma oscillations is important for the processing of information and the disruption of gamma oscillations is a prominent feature of schizophrenia and Alzheimer’s disease. Gamma oscillations are generated ... 
A computational investigation of the finitetime blowup of the 3D incompressible Euler equations based on the Voigt regularization
(Springer Verlag, 20170429)We report the results of a computational investigation of two blowup criteria for the 3D incompressible Euler equations. One criterion was proven in a previous work, and a related criterion is proved here. These criteria ... 
Probability of noise and rateinduced tipping
(American Physical Society, 2017)We propose an approximation for the probability of tipping when the speed of parameter change and additive white noise interact to cause tipping. Our approximation is valid for small to moderate drift speeds and helps to ... 
On the interpretation of the equatorially antisymmetric Jovian gravitational field
(Oxford University Press (OUP) / Royal Astronomical Society, 20170411)Since the odd zonal gravitational coe cients of Jupiter are nearly unaffected by the planet's rotational distortion, an e ective way of estimating the internal structure of the equatorially antisymmetric Jovian winds is ... 
Mean Values of Derivatives of Lfunctions in Function Fields: III
(Cambridge University Press (CUP) for Royal Society of Edinburgh, 2017)In this series of papers, we explore moments of derivatives of Lfunctions in function elds using classical analytic techniques such as character sums and approximate functional equation. The present paper is concerned ... 
Was the Little Ice Age more or less El Niñolike than the Medieval Climate Anomaly? Evidence from hydrological and temperature proxy data
(European Geosciences Union (EGU) / Copernicus Publications, 20170329)The El Niño–Southern Oscillation (ENSO) is the most important source of global climate variability on interannual timescales and has substantial environmental and socioeconomic consequences. However, it is unclear how it ... 
Stimulus pauses and perturbations differentially delay or promote the segregation of auditory objects: psychoacoustics and modeling
(Frontiers Media, 2017)Segregating distinct sound sources is fundamental for auditory perception, as in the cocktail party problem. In a process called the buildup of stream segregation, distinct sound sources that are perceptually integrated ... 
Spindown in a rapidly rotating cylinder container with mixed rigid and stressfree boundary conditions
(Cambridge University Press (CUP), 2017)A comprehensive study of the classical linear spindown of a constantdensity viscous fluid (kinematic viscosity ν𝜈 ) rotating rapidly (angular velocity Ω𝛺 ) inside an axisymmetric cylindrical container (radius LL , ... 
Kernel of the monodromy operator for semistable curves
(Research Institute for Mathematical Sciences , Kyoto University Kyoto, 201312)This is an announcement of results, obtained in collaboration with B. Chiarellotto, R. Coleman and A. Iovita, whose proofs will be published elsewhere. We study the relation between the kernel of the monodromy operator ... 
On the homotopy exact sequence for log algebraic fundamental groups
(arXiv.org, 2016)We construct a log algebraic version of the homotopy sequence for a quasiprojective normal crossing log variety over a log point of characteristic zero and prove some exactness properties of it. Our proofs are purely algebraic. 
On padic differential equations on semistable varieties II
(Springer Verlag, 20140806)This paper is a complement to the paper "On padic differential equations on semistable varieties" written by V. Di Proietto. Given an open variety over a DVR with semistable reduction, the author constructed in that paper ... 
On padic differential equations on semistable varieties
(Springer Verlag, 20121222)In this paper we prove a comparison theorem between the category of certain modules with integrable connection on the complement of a normal crossing divisor of the generic fiber of a proper semistable variety over a DVR ... 
On padic invariant cycles theorem
(De Gruyter, 20140110)For a proper semistable curve X over a DVR of mixed characteristics we reprove the ”invariant cycles theorem” with trivial coefficients (see [Ch99]) i.e. that the group of elements annihilated by the monodromy operator ... 
On padic differential equations on semistable varieties (PhD thesis)
(Università degli Studi di Padova, 20090327)Let V be a complete discrete valuation ring of mixed characteristic (0, p) with uniformizer π, K be the fraction field and k be the residue field. We study padic differential equations on a semistable variety over V ... 
Efficient history matching of a high dimensional individual based HIV transmission model
(Society for Industrial and Applied Mathematics, 2017)History matching is a model (pre)calibration method that has been applied to computer models from a wide range of scientific disciplines. In this work we apply history matching to an individual based epidemiological ... 
Optimisation of an exemplar oculomotor model using multiobjective genetic algorithms executed on a GPUCPU combination
(BioMed Central, 20170224)Background Parameter optimisation is a critical step in the construction of computational biology models. In eye movement research, computational models are increasingly important to understanding the mechanistic basis ...