School of Mathematics

Research output

Research output per year 1975 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2024

• 3686 Article
• 251 Conference contribution
• 212 Working paper
• 75 Paper
• 395 More
  • 70 Chapter
  • 50 Chapter (peer-reviewed)
  • 44 Book
  • 31 Review article
  • 27 Comment/debate
  • 27 Preprint
  • 22 Other contribution
  • 17 Letter
  • 16 Commissioned report
  • 13 Editorial
  • 12 Poster
  • 10 Other report
  • 10 Other chapter contribution
  • 9 Abstract
  • 7 Meeting abstract
  • 4 Other
  • 4 Software
  • 3 Entry for encyclopedia/dictionary
  • 3 Book/Film/Article review
  • 3 Special issue
  • 2 Literature review
  • 2 Master's Thesis
  • 2 Discussion paper
  • 1 Anthology
  • 1 Foreword/postscript
  • 1 Conference article
  • 1 Short survey
  • 1 Featured article
  • 1 Web publication/site
  • 1 Doctoral Thesis

Research output per year

Research output per year

Search results

• 2024

  On a planar Pierce--Yung operator

  Beltran, D., Guo, S. & Hickman, J., 10 Jul 2024, (Submitted) ArXiv.

  Research output: Working paper
• 2023

  Twin Brownian particle method for the study of Oberbeck-Boussinesq fluid flows

  Li, J., Qian, Z. & Xu, M., 30 Mar 2023, (Submitted) ArXiv.

  Research output: Working paper

  • Fluid Flow 100%
  • Diffusivity 100%
  • Particle 100%
  • Monte Carlo 50%
  • Simulation 50%
• 2022

  Nonasymptotic estimates for Stochastic Gradient Langevin Dynamics under local conditions in nonconvex optimization

  Zhang, Y., Akyildiz, Ö. D., Damoulas, T. & Sabanis, S., 13 Oct 2022, (Accepted/In press) ArXiv.

  Research output: Working paper

  File

  • Optimization 100%
  • Local Condition 100%
  • Asymptotics 100%
  • Concavity 50%
  • Empirical Risk Minimization 50%

• Vertical Asymptotics for Bridgeland Stability Conditions on 3-folds.

  Maciocia, A., Jardim, M. & Martinez, C., 9 Aug 2022, (Accepted/In press) ArXiv, 44 p.

  Research output: Working paper

  • Stability 100%
  • Asymptotics 100%
  • Number 50%
  • Projective 50%
  • Finite Number 50%

• Low regularity integrators via decorated trees

  Bronsard, Y. A., Bruned, Y. & Schratz, K., 9 Mar 2022, ArXiv, 57 p.

  Research output: Working paper

  File

  • Order 100%
  • Nonlinear 100%
  • Integrator 100%
  • Trees 100%
  • Classical Method 50%
• 2021

  Ideals in enveloping algebras of affine Kac-Moody algebras

  Biswal, R. & Sierra, S. J., Dec 2021, ArXiv.

  Research output: Working paper

  • Algebra over a Field 100%
  • Ideals 100%
  • Enveloping Algebra 100%
  • Universal Enveloping Algebra 100%
  • Kac-Moody Algebra 100%

• Locality for singular stochastic PDEs

  Bailleul, I. & Bruned, Y., 1 Sept 2021, ArXiv, 14 p.

  Research output: Working paper

  File

  • PDE 100%
  • Renormalization 50%
  • Differential Operator 50%
  • Classes 50%
  • Operators (Mathematics) 50%

• Parametrization of renormalized models for singular stochastic PDEs

  Bailleul, I. & Bruned, Y., 16 Jun 2021, ArXiv, 14 p.

  Research output: Working paper

  File

  • Renormalization 100%
  • PDE 100%
  • Nonlinear 33%
  • Classes 33%

• Ramification of Volterra-type Rough Paths

  Bruned, Y. & Katsetsiadis, F., 7 May 2021, ArXiv, 28 p.

  Research output: Working paper

  File

  • Convolution 100%
  • Uniqueness Result 50%
  • Existence Result 50%
  • Kernel 50%
  • Tensor 50%

• Quantum Cluster Characters

  Jordan, D., Le, I., Schrader, G. & Shapiro, A., 24 Feb 2021, ArXiv, 59 p.

  Research output: Working paper

  File

  • Characters 100%
  • Equivariant 25%
  • Homology 25%
  • Factorization 25%
  • Modular Group 25%

• On a distinguished family of random variables and Painlevé equations

  Assiotis, T., Bedert, B., Alper Gunes, M. & Soor, A., 23 Feb 2021, ArXiv, 30 p.

  Research output: Working paper

  File

  • Parameters 100%
  • Main Result 100%
  • Random Variable 100%
  • Joint Moment 100%
  • Asymptotics 100%

• Sharp $L^p$ bounds for the helical maximal function

  Beltran, D., Guo, S., Hickman, J. & Seeger, A., 16 Feb 2021, ArXiv, 63 p.

  Research output: Working paper

  File

  • Bounds 100%
  • Maximal Function 100%
  • Functions 100%
  • Square Function 50%
  • Boundedness 50%

• Renormalised singular stochastic PDEs

  Bailleul, I. & Bruned, Y., 28 Jan 2021, ArXiv, 16 p.

  Research output: Working paper

  File

  • Work 100%

• Epidemic waves of COVID-19 in Scotland: a genomic perspective on the impact of the introduction and relaxation of lockdown on SARS-CoV-2

  Lycett, S. J., Hughes, J., McHugh, M. P., Filipe, A. D. S., Dewar, R., Lu, L., Doherty, T., Shepherd, A., Inward, R., Rossi, G., Balaz, D., Kao, R. R., Rooke, S., Cotton, S., Gallagher, M. D., Lopez, C. B., O’Toole, Á., Scher, E., Hill, V., McCrone, J. T., & 34 othersColquhoun, R. M., Jackson, B., Williams, T. C., Williamson, K. A., Johnson, N., Smollett, K., Mair, D., Carmichael, S., Tong, L., Nichols, J., Brunker, K., Shepherd, J. G., Li, K., Aranday-Cortes, E., Parr, Y. A., Broos, A., Nomikou, K., McDonald, S. E., Niebel, M., Asamaphan, P., Starinskij, I., Jesudason, N., Shah, R., Sreenu, V. B., Stanton, T., Shaaban, S., MacLean, A., Woolhouse, M., Gunson, R., Templeton, K., Thomson, E. C., Rambaut, A., Holden, M. T. G. & Robertson, D. L., 20 Jan 2021, Cold Spring Harbor Laboratory Press.

  Research output: Working paper

  Open Access

  File

  • Genomics 100%
  • Impact 100%
  • Wave 100%
  • COVID-19 100%
  • Severe Acute Respiratory Syndrome Coronavirus 2 100%
• 2020

  Magnitude homology of enriched categories and metric spaces

  Leinster, T. & Shulman, M., 15 Nov 2020, ArXiv.

  Research output: Working paper

  File

  • Homology 100%
  • Magnitude 100%
  • Metric Space 100%
  • Information 14%
  • Graph 14%

• Trilinear smoothing inequalities and a variant of the triangular Hilbert transform

  Christ, M., Durcik, P. & Roos, J., 14 Nov 2020, ArXiv, 41 p.

  Research output: Working paper

  File

  • Analysis 100%

• Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓ2(Zn) bounds

  Krause, B. & Roos, J., 1 Oct 2020, ArXiv, 27 p.

  Research output: Working paper

  File

  • Discrete Analogue 100%
  • Bounds 100%
  • Singular Integral 100%
  • Positive Integer 50%
  • Kernel 50%

• The categorified Grothendieck-Riemann-Roch theorem

  Hoyois, M., Safronov, P., Scherotzke, S. & Sibilla, N., 17 Sept 2020, ArXiv, 50 p.

  Research output: Working paper

  Open Access

  File

  • Characters 100%
  • Grothendieck 100%
  • Riemann-Roch Theorem 100%

• The boundary of the orbital beta process

  Assiotis, T. & Najnudel, J., 20 Aug 2020, ArXiv.

  Research output: Working paper

  File

  • Transition Probability 100%
  • Markov Chain 100%
  • Conditional Probability 50%
  • Invariant Probability Measure 50%
  • Hermitian Matrix 50%

• A fully data-driven approach to minimizing CVaR for portfolio of assets via SGLD with discontinuous updating

  Sabanis, S. & Zhang, Y., 2 Jul 2020, ArXiv.

  Research output: Working paper

  File

  • Objective Function 100%
  • Global Minimizer 100%
  • Minimizing 100%
  • Surety 100%
  • Optimization 50%

• Bogoliubov type recursions for renormalisation in regularity structures

  Bruned, Y. & Ebrahimi-Fard, K., 11 Jun 2020, ArXiv, 31 p.

  Research output: Working paper

  File

  • Renormalization 100%
  • Recursion 100%
  • Partial Differential Equation 40%
  • Numerical Analysis 20%
  • Stochastic Partial Differential Equation 20%

• Global stability of spacetimes with supersymmetric compactifications

  Andersson, L., Blue, P., Wyatt, Z. & Yau, S-T., 1 Jun 2020, ArXiv, 25 p.

  Research output: Working paper

  File

  • Compactifications 100%
  • Stability 100%
  • Spinor 25%
  • Flat Riemannian Manifold 25%
  • Counterexample 25%

• Factorization algebras and abelian CS/WZW-type correspondences

  GWILLIAM, OWEN., RABINOVICH, EUGENE. & Williams, B. R., 30 May 2020, ArXiv, 56 p.

  Research output: Working paper

  File

  • Algebra over a Field 100%
  • Factorization 100%
  • Algebra 83%
  • Manifold 16%
  • String Theory 16%

• On the joint moments of the characteristic polynomials of random unitary matrices

  Assiotis, T., KEATING, JONATHAN. P. & WARREN, JON., 28 May 2020, ArXiv, 32 p.

  Research output: Working paper

  File

  • Random Variable 100%
  • Unitary Matrix 100%
  • Joint Moment 100%
  • Characteristic Polynomial 100%
  • Asymptotics 100%

• The ADO Invariants are a q-Holonomic Family

  Brown, J., Dimofte, T., Garoufalidis, S. & Geer, N., 17 May 2020, ArXiv, 42 p.

  Research output: Working paper

  File

  • Recursion 100%
  • Invariant 100%
  • Ideals 75%
  • Quantum Group 50%
  • Quantum Groups 50%

• Spherical maximal functions and fractal dimensions of dilation sets

  Roos, J. & Seeger, A., 12 Apr 2020, ArXiv, 30 p.

  Research output: Working paper

  File

  • Fractal Dimension 100%
  • Maximal Function 100%
  • Closure 50%
  • Minkowski Dimension 50%
  • Closed Convex Set 50%

• Fear, Access, and the Real-Time Estimation of Etiological Parameters for Outbreaks of Novel Pathogens

  Fefferman, N. H., Lofgren, E. T., Li, N., Blue, P., Weber, D. J. & Yakubu, A-A., 20 Mar 2020, medRxiv, 26 p.

  Research output: Working paper

  File

  • Epidemic 100%
  • Fear 100%
  • Pathogen 100%
  • Infectious Agent 100%
  • Time 100%

• The Hitchin connection in arbitrary characteristic

  Baier, T., Bolognesi, M., Martens, J. & Pauly, C., 27 Feb 2020, ArXiv.

  Research output: Working paper

  • Characteristics 100%
  • Classes 100%
  • Khler Form 50%
  • Curve 50%
  • Cohomologies 50%

• A Taxonomy of Twists of Supersymmetric Yang--Mills Theory

  Elliott, C., Safronov, P. & Williams, B. R., 24 Feb 2020, ArXiv, 98 p.

  Research output: Working paper

  File

  • Algebra 100%
  • Algebra over a Field 50%
  • Complete Classification 50%
  • Zeros 50%
  • Periodic Orbit 50%

• An introduction to state-space modeling of ecological time series

  Auger-Methe, M., Newman, K., Cole, D., Empacher, F., Gryba, R., King, A., Leos-Barajas, V., Mills-Fleming, J., Nielsen, A., Petris, G. & Thomas, L., 5 Feb 2020, ArXiv.

  Research output: Working paper

  • State 100%
  • Time Series 100%
  • Introduction 100%
  • State Space 100%
  • Modeling 100%
• 2019

  Decoupling for two quadratic forms in three variables: a complete characterization

  Guo, S., Oh, C., Roos, J., Yung, P-L. & Zorin-Kranich, P., 9 Dec 2019, ArXiv, 19 p.

  Research output: Working paper

  File

  • Complete 100%
  • Quadratic Form 100%
  • Decoupling 100%
  • Classification 16%
  • Codimension 16%

• A one-loop exact quantization of Chern-Simons theory

  Gwilliam, O. & Williams, B. R., 11 Oct 2019, ArXiv, 35 p.

  Research output: Working paper

  File

  • Quantization 100%
  • Boundaries 50%
  • Factorization 50%
  • Algebra 50%
  • Deformation 50%

• Superconformal algebras and holomorphic field theories

  Saberi, I. & Williams, B. R., 9 Oct 2019, ArXiv, 62 p.

  Research output: Working paper

  File

  • Algebra over a Field 100%
  • Curve 16%
  • Dolbeault 16%
  • Algebra 16%
  • Terms 8%

• K-theoretic Coulomb branches of quiver gauge theories and cluster varieties

  Schrader, G. & Shapiro, A., 8 Oct 2019, ArXiv, 35 p.

  Research output: Working paper

  File

  • Gauge Theory 100%
  • Molecular Cluster 100%
  • Algebra 66%

• BPHZ renormalisation and vanishing subcriticality limit of the fractional $Φ^3_d$ model

  Berglund, N. & Bruned, Y., 30 Jul 2019, ArXiv.

  Research output: Working paper

  File

  • Renormalization 100%
  • Models 100%
  • Parameters 66%
  • Parameter 66%
  • Space-Time 66%

• Using extreme value theory for the estimation of risk metrics for capacity adequacy assessment

  Wilson, A. L. & Zachary, S., 30 Jul 2019, ArXiv.

  Research output: Working paper

  File

  • Extreme Value 100%

• Pre-Calabi-Yau algebras and double Poisson brackets

  Iyudu, N., Kontsevich, M. & Vlassopoulos, Y., 17 Jun 2019, ArXiv, p. 1-24, 24 p.

  Research output: Working paper

  File

  • Algebra over a Field 100%
  • Associative Algebra 100%
  • Poisson Bracket 100%
  • Algebra 100%
  • Poisson Process 100%

• Portfolio diversification based on ratios of risk measures

  Barkhagen, M., Fleming, B., Quiles, S. G., Gondzio, J., Kalcsics, J., Kroeske, J., Sabanis, S. & Staal, A., 3 Jun 2019, ArXiv.

  Research output: Working paper

  File

  • Portfolio Diversification 100%
  • Global Optimization 66%
  • Portfolio Return 66%
  • Mathematical Optimization 66%
  • Allocation Strategy 33%

• Mean-Field Langevin Dynamics and Energy Landscape of Neural Networks

  Hu, K., Ren, Z., Siska, D. & Szpruch, L., 19 May 2019, ArXiv, p. 1-31, 31 p.

  Research output: Working paper

  File

  • Flow 100%
  • Convergence 100%
  • Order 66%
  • Energy Functional 66%
  • Learning Task 66%

• Estimating individuals’ genetic and non-genetic effects underlying infectious disease transmission from temporal epidemic data

  Pooley, C. M., Marion, G., Bishop, S. C., Bailey, R. & Doeschl-Wilson, A. B., 26 Apr 2019, bioRxiv, at Cold Spring Harbor Laboratory.

  Research output: Working paper

  Open Access

  File

  • Genetics 100%
  • Standing 100%
  • Genetic Determinism 100%
  • Infectious Disease 100%
  • Single-Nucleotide Polymorphism 80%

• A nonlocal free boundary problem with Wasserstein distance

  Karakhanyan, A., 12 Apr 2019, ArXiv.

  Research output: Working paper

  File

  • Boundary Problem 100%
  • Probability Measure 100%
  • Singular Set 50%
  • Fourier Transform 50%
  • Minimizing 50%

• Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras

  Szczesny, M., Walters, J. & Williams, B. R., 5 Apr 2019, ArXiv, 40 p.

  Research output: Working paper

  File

  • Vertex 100%
  • Algebra over a Field 100%
  • Fibration 100%
  • Algebra 100%
  • Lie Algebra 50%

• Higher Kac-Moody algebras and symmetries of holomorphic field theories

  Gwilliam, O. & Williams, B. R., 28 Mar 2019, ArXiv, 89 p.

  Research output: Working paper

  File

  • Kac-Moody Algebra 100%
  • Factorization 60%
  • Algebra over a Field 40%
  • Classes 40%
  • Affine Kac 40%

• Antithetic multilevel particle system sampling method for McKean-Vlasov SDEs

  Szpruch, L. & Tse, A., 17 Mar 2019, ArXiv.

  Research output: Working paper

  Open Access

  • Particle System 100%
  • Probability Measure 100%
  • Stochastic Differential Equation 50%
  • Iid Random Variable 50%
  • Sequences 50%

• Extreme events of higher-order Markov chains: hidden tail chains and extremal Yule-Walker equations

  Papastathopoulos, I. & Tawn, J. A., 10 Mar 2019, (E-pub ahead of print) ArXiv.

  Research output: Working paper

• Stability for linearized gravity on the Kerr spacetime

  Andersson, L., Backdahl, T., Blue, P. & Ma, S., 9 Mar 2019, ArXiv, 99 p.

  Research output: Working paper

  File

  • Gravitation 100%
  • Stability 100%
  • Estimates 100%
  • Kerr Black Holes 40%
  • Rotation 40%

• Stability conditions in families

  Bayer, A., Lahoz, M., Macri, E., Nuer, H., Perry, A. & Stellari, P., 21 Feb 2019, ArXiv, 135 p.

  Research output: Working paper

  • Stability 100%
  • Manifold 20%
  • Complete 20%
  • Boundedness 20%
  • Invariant 20%

• Quantisation of derived Poisson structures

  Pridham, J. P., 20 Feb 2019, ArXiv.

  Research output: Working paper

  Open Access

  File

  • Poisson Structure 100%
  • Quantization 100%
  • Stack 66%
  • Affine Transformation 33%
  • Invariance 33%

• Geometric stochastic heat equations

  Bruned, Y., Gabriel, F., Hairer, M. & Zambotti, L., 12 Feb 2019, ArXiv.

  Research output: Working paper

  File

  • Heat Equation 100%
  • Classes 60%
  • Type Equation 40%
  • Diffeomorphism Group 40%
  • Multiplicative 40%

• Quantum moment maps

  Safronov, P., 25 Jan 2019, ArXiv, 38 p.

  Research output: Working paper

  File

  • Moment 100%
  • Map 100%
  • Lie 20%
  • Parameter 20%
  • Show 20%