Workshop Outputs
The benefits of participating in an ICMS event are wide and varied.
We recently asked 2013/14 workshop delegates and RIGS programme participants to give us examples of how participation has impacted their research. Many cited tangible outputs such as papers, follow on workshop, research visits etc.
The tables below provide details of some of the papers that were influenced, enhanced, inspired or benefited from collaborations arising from participation at 2013 & 2014 workshops and as part of the RIGS initiative (20102015). We will continue to add to this record, as outputs from more recent workshops and RIGS visits begin to emerge.
If you have been to an ICMS event and would like to supplement this list, please get in touch.
Workshop (2013) 
Date 
Papers/Books 



Singularities in geometry and applications III 
Jul13 
Conference Proceedings, Journal of Singularities, Volume 12: Singularities in Geometry and Applications III, 26 September 2013, Edinburgh, Scotland (http://journalofsing.org/volume12/index.html) (15 papers) 


P. J. Giblin, S. Janeczko, (2017), Bifurcation sets of families of reflexions on surfaces in R^3, Proceedings of the Royal Society of Edinburgh, Volume 147, Issue 2, pp. 337352, DOI:10.1017/S0308210516000184 


Maciej Borodzik, Eugene Gorsky, (2016), Immersed concordances of links and Heegaard Floer homology, https://arxiv.org/abs/1601.07507 
Tipping points: fundamentals and applications 
Sep13 
Anderies, John M., et al. (2013), The topology of nonlinear global carbon dynamics: from tipping points to planetary boundaries. Environmental Research Letters, 8.4 (2013): 044048. 


P. Ritchie, J. Sieber, (2016) Probability of noise and rateinduced tipping, http://arxiv.org/abs/1606.08180 


Peter Ashwin, Clare Perryman, Sebastian Wieczorek, Parameter shifts for nonautonomous systems in low dimension: Bifurcation and Rateinduced tipping, https://arxiv.org/abs/1506.07734 


(Eds. Marian Gidea, J. Sieber, M. Silber, S. Wieczorek), (2015), Special Issue on Tipping Points: Fundamentals and Applications, Communications in Nonlinear Science and Numerical Simulation. REF 


Marian Gidea, Yuri Katz , Topological Data Analysis of Financial Time Series: Landscapes of Crashes, 2017, https://arxiv.org/abs/1703.04385 


E. Shmueli et al. (eds.), (2017), Topological data analysis of critical transitions in financial networks, 3rd International Winter School and Conference on Network Science, Springer Proceedings in Complexity, ISBN 9783319554716 


Jesse Berwald, Marian Gidea, (2014), Critical transitions in a model of a genetic regulatory system ,Mathematical Biology and Engineering, Vol. 11, https://arxiv.org/abs/1309.7919 


Jesse Berwald, Marian Gidea, Mikael VejdemoJohansson (2014), Automatic Recognition and Tagging of Topologically Different Regimes in Dynamical Systems, Discontinuity, Nonlinearity and Complexity, Vol. 3, https://arxiv.org/abs/1312.2482 


J. Zhu, R. Kuske, T. Erneux, (2015), Tipping points near a delayed saddle node bifurcation with periodic forcing, SIAM J. Appl. Dyn. Syst. 14, pp. 20302068, https://arxiv.org/abs/1410.5101 


W.F. Thompson, R. Kuske, A. Monahan, (2015), Stochastic averaging of dynamical systems with multiple time scales forced with αstable noise , Multiscale Modeling and Simulation (SIAM), Multiscale Model. Simul., 11941223, https://arxiv.org/abs/1410.1837 
Stochastic, statistical and computational approaches to Immunology 
Jul13 
Höfer T, Barile M, Flossdorf M, (2016), Stemcell dynamics and lineage topology from in vivo fate mapping in the hematopoietic system, Current Opinion in Biotechnology 2016 Jun; 39:1506, https://www.ncbi.nlm.nih.gov/pubmed/27107166 


Flossdorf M, Rössler J, Buchholz VR, Busch DH, Höfer T, (2015), T cell diversification by asymmetric cell division, Nature Immunology;16(9):8913, http://www.nature.com/ni/journal/v16/n9/full/ni.3235.html 


Himadri Mukhopadhyay, Ben de Wet, Lara Clemens, Philip K. Maini, Jun Allard, P. Anton van der Merwe, Omer Dushek, (2016), Multisite Phosphorylation Modulates the T Cell Receptor ζ Chain Potency but not the Switch like Response, Biophysical Journal Volume 110, Issue 8, 26 April 2016, Pages 1896–1906, http://www.sciencedirect.com/science/article/pii/S0006349516301047 
SYSTEMS
BIOLOGY  Information, probability and inference in systems biology 
Jul13 
TJ Kobayashi, Y Sughiyama (2015), Fluctuation relations of fitness and information in population dynamics, Phys. Rev. Lett. 115, 238102, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.238102 
Ricci curvature: limit spaces and Kahler geometry 
Jul13 
Kael Dixon, Regular ambitoric 4manifolds: from Riemannian Kerr to a complete classification, 2016, arXiv:1604.03156 


Jason D. Lotay, Tommaso Pacini, From Lagrangian to totally real geometry: coupled flows and calibrations, 2016, https://arxiv.org/abs/1404.4227 


Jason D. Lotay, Tommaso Pacini, Complexified diffeomorphism groups, totally real submanifolds and KählerEinstein geometry, 2016, https://arxiv.org/abs/1506.04630 


Mario GarciaFernandez, Julien Keller, Julius Ross, Quantization of Hitchin's equations for Higgs Bundles I, 2016, https://arxiv.org/abs/1601.04960 


Julien Keller, Kai Zheng, Construction of constant scalar curvature Kähler cone metrics, 2017, https://arxiv.org/abs/1703.06312 


T. Mabuchi, (2015), The DonaldsonFutaki invariant for sequences of test configurations, Geometry and Analysis on Manifolds, Volume 308 of the series Progress in Mathematics pp 395403, http://link.springer.com/chapter/10.1007%2F9783319115238_16 


T. Mabuchi, Y. Nitta, (2015), Strong Kstability and asymptotic Chowstability, Geometry and Analysis on Manifolds, , Volume 308 of the series Progress in Mathematics pp 405411. http://www.springer.com/in/book/9783319115221 
Differential Geometry and Continuum Mechanics 
Jun13 
Conference Proceedings, Springer Proceedings in Mathematics & Statistics, Differential Geometry and Continuum Mechanics Editors: Chen, GuiQiang, Grinfeld, Michael, Knops, R. J. (Eds.) http://www.springer.com/gb/book/9783319185729 (ICMS acknowledged) 
Mathematics of Splashing 
May13 
Semenov, Y.A. Wu, G.X. and Korobkin, A.A. (2015), Impact of Liquids with Different Densities, J. of Fluid Mech. Vol. 766, pp. 5 – 27. https://www.cambridge.org/core/services/aopcambridgecore/content/view/S0022112015000087 


Semenov, Y.A., Wu, G.X., and Oliver, J.M. (2013) Splash Jet Caused by Collision of Two Liquid Wedges. J. of Fluid Mech. Vol. 737, pp. 132 – 145. https://www.cambridge.org/core/journals/journaloffluidmechanics/article/splashjetgeneratedbycollisionoftwoliquidwedges/1C43DD3B879766208C3455E536A21F02 
The role of complex analysis in complex dynamics 
May13 
Núria Fagella, Sébastien Godillon, Xavier Jarque, (2015), Wandering domains for composition of entire functions, J. Math. Anal. Appl., 429, 478496, https://arxiv.org/abs/1410.3221 


J K Langley, The Schwarzian derivative and the WimanValiron property, 2015, https://arxiv.org/pdf/1307.3042.pdf 


Ian Short, David J. Sixsmith, Escaping sets of continuous functions, 2016, https://arxiv.org/abs/1601.04010 


Lasse RempeGillen, Dave Sixsmith, Hyperbolic entire functions and the EremenkoLyubich class: Class B or not class B? 2016, https://arxiv.org/abs/1502.00492 
The structure and classification of nuclear C*algebras 
Apr13 
I Putnam, Some classifiable groupoid C*algebras with prescribed Ktheory, 2017, arXiv:1611.04649 


Robin J. Deeley, Ian F. Putnam, Karen R. Strung, Constructing minimal homeomorphisms on pointlike spaces and a dynamical presentation of the JiangSu algebra, 2015, https://arxiv.org/abs/1503.03800 
Workshop (2014) 
Date 
Papers etc 



Gauge theories: quivers, tilings and CalabiYau 
May14 
Amihay Hanany, Vishnu Jejjala, Sanjaye Ramgoolam, RakKyeong Seong, Consistency and Derangements in Brane Tilings, 2015, https://arxiv.org/abs/1512.09013  


Stefano Cremonesi, Giulia Ferlito, Amihay Hanany, Noppadol Mekareeya, Instanton Operators and the Higgs Branch at Infinite Coupling, 2015, https://arxiv.org/abs/1505.06302 


Amihay Hanany, Chiung Hwang, Hyungchul Kim, Jaemo Park, RakKyeong Seong, Hilbert Series for Theories with Aharony Duals, 2015, https://arxiv.org/abs/1505.02160 


Stefano Cremonesi, Amihay Hanany, Noppadol Mekareeya, Alberto Zaffaroni, T^σ_ρ(G) Theories and Their Hilbert Series, 2014, https://arxiv.org/abs/1410.1548 


Stefano Cremonesi, Giulia Ferlito, Amihay Hanany, Noppadol Mekareeya, Coulomb Branch and The Moduli Space of Instantons, 2014, https://arxiv.org/abs/1408.6835 


Massimo Bianchi, Stefano Cremonesi, Amihay Hanany, Jose Francisco Morales, Daniel Ricci Pacifici, RakKyeong Seong, Massdeformed Brane Tilings, 2014, https://arxiv.org/abs/1408.1957 


Sebastian Franco, Dongwook Ghim, Sangmin Lee, RakKyeong Seong, Daisuke Yokoyama, 2d (0,2) Quiver Gauge Theories and DBranes, 2015, arXiv:1506.03818. 
Computational methods for statistical mechanics 
Jun14 
Peter J. Green, Krzysztof Łatuszyński, Marcelo Pereyra, Christian P. Robert, Bayesian computation: a perspective on the current state, and sampling backwards and forwards, 2015, https://arxiv.org/abs/1502.01148 


Kaiser, Jack, Zimmer, Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance, 2017, https://arxiv.org/abs/1611.06509 


Ansini, Braides, Zimmer, Minimising movements for oscillating energies: the critical regime, Proc. Roy. Soc. Edinburgh Sect. A, (to appear) 


Benedict Leimkuhler , Xiaocheng Shang, (2015), On the numerical treatment of dissipative particle dynamics and related systems, Journal of Computational Physics, vol 280, 72–95, http://dx.doi.org/10.1016/j.jcp.2014.09.008 


Benedict Leimkuhler , Xiaocheng Shang, (2016), Pairwise adaptive thermostats for improved accuracy and stability in dissipative particle dynamics, Journal of Computational Physics, vol 324, 174–193 http://dx.doi.org/10.1016/j.jcp.2016.07.034 
Applications of model theory to algebraic, analytic and diophantine geometry 
Jul14 
Nick Gill, Pablo Spiga, Binary permutation groups: alternating and classical groups, 2016, https://arxiv.org/abs/1610.01792 


Franziska Jahnke, Jochen Koenigsmann, (2015), Uniformly defining phenselian valuations, Annals of Pure and Applied Logic, vol 166, pp. 741754, https://arxiv.org/abs/1407.8156 


Artem Chernikov, Sergei Starchenko, Margaret E. M. Thomas, Ramsey growth in some NIP structures, 2016, https://arxiv.org/abs/1609.05951 
Extremal combinatorics 
Jul14 
Jacob Fox, Andrey Grinshpun, Anita Liebenau, Yury Person, Tibor Szabo, On the minimum degree of minimal Ramsey graphs for multiple colours, 2015, https://arxiv.org/abs/1502.02881 


Boris Bukh, David Conlon, Rational exponents in extremal graph theory, 2015, https://arxiv.org/abs/1506.06406 


Ryan R. Martin, Richard Mycroft, Jozef Skokan, An asymptotic multipartite KühnOsthus theorem, 2016, https://arxiv.org/abs/1604.03002 
Function theory in several complex variables in relation to modelling uncertainty 

Laszlo Lempert, Noncommutative potential theory, 2016, arXiv:1610.03523 


Agler, McCarthy, Noncommutative Functional Calculus and Spectral Theory, Journal d'Analyse Mathématique (to appear), https://arxiv.org/abs/1504.07323 


Agler, McCarthy, (2015), Noncommutative holomorphic functions on operator domains, European Journal of Mathematics, 1:4,731745, http://link.springer.com/article/10.1007/s4087901500642 


Agler, McCarthy (2015), Global holomorphic functions in several noncommuting variables, Canadian Journal of Mathematics, 67:2, 241285, https://arxiv.org/abs/1305.1636 


Knese, Kosinski, Ransford, Sola, Cyclic polynomials in anisotropic Dirichlet~spaces, 2015, https://arxiv.org/abs/1512.04871 ( to appear Journal d'Analyse Mathematique.) 


A. Kamara (2015), A counterexample to the Γinterpolation conjecture, Annales Polonici Mathematici., vol 114,issue 2 , pg 115121, https://eudml.org/doc/280571 
Algebraic Lie theory and representation theory 

AnnaLouise Grensing, Volodymyr Mazorchuk, Finitary 2categories associated with dual projection functors , 2015, arXiv:1501.00095. 


Peter J. McNamara, Peter Tingley, Face Functors for KLR Algebras, 2017, arXiv:1512.04458 


ShunJen Cheng, JaeHoon Kwon, Finitedimensional halfinteger weight modules over queer Lie superalgebras, 2015 arXiv:1505.06602 


C. Bowman, A. G. Cox, and L. Speyer, (2016), A family of graded decomposition numbers for diagrammatic Cherednik algebras, , International Mathematics Research Notices Vol. 2016, No. 00, pp. 1–49, https://academic.oup.com/imrn/article/doi/10.1093/imrn/rnw101/3061035/AFamilyofGradedDecompositionNumbersfor 
Pseudospectra of operators: spectral singularities, semiclassics, pencils and random matrices 
Sep 2014 
Fritz Gesztesy, Sergey N. Naboko, Rudi Weikard, Maxim Zinchenko, DonoghueType mFunctions for Schrödinger Operators with OperatorValued Potentials, 2015, https://arxiv.org/abs/1506.06324 


S N ChandlerWilde, M Lindner, (2016), Coburn's lemma and the finite section method for random Jacobi operators. Journal of Functional Analysis, 270, 802841, https://arxiv.org/abs/1505.05188 


S N ChandlerWilde & R Hagger, (2017), On symmetries of the FeinbergZee random hopping matrix, Operator Theory: Advances and Applications. Vol. 258, 51–78 (2017), https://arxiv.org/abs/1509.00791 


Maz'ya, V., Natroshvili, D., Shargorodsky, E., Wendland, W.L. (Eds.), Recent Trends in Operator Theory and Partial Differential Equations: the Roland Duduchava Anniversary Volume, http://www.springer.com/gb/book/9783319470771 


A. Greenbaum, M.L. Overton, Numerical Investigation of Crouzeix's Conjecture, 2016, Submitted to Linear Algebra Applications, https://cs.nyu.edu/overton/papers/pdffiles/NumerInvestCrouzeixConj.pdf 


A. Greenbaum, A.S. Lewis, M.L. Overton, (2016), Variational Analysis of the Crouzeix Ratio, M.L. Math. Program. doi:10.1007/s1010701610836  
Statistical and computational methods for relatedness and relationship inference from genetic marker data 
Sep 2014 
Special Issue:
Theoretical Population Biology 


Speed D, Balding DJ, (2015), Relatedness in the postgenomic era: is it still useful? Nat Rev Genet,  16 (1), 3344. doi:10.1038/nrg3821 


Speed D, Cai N, UCLEB Consortium, Johnson M, Nejentsev S, Balding DJ, (2017), Reevaluation of SNP heritability in complex human traits. To appear Nat Genet, preprint: BioRχiv doi: 10.1101/074310 


Costa, L, Smith, J, Nichols, T, Cussens, J, Duff, EP & Makin, (2015), Searching Multiregression Dynamic Models of RestingState fMRI Networks Using Integer Programming, Bayesian Analysis, vol 10, no. 2, pp. 441478. DOI: 10.1214/14BA913 


Oates, CJ, Smith, JQ, Mukherjee, S & Cussens, J, (2015), 'Exact estimation of multiple directed acyclic graphs' Statistics and computing, pp. 115. DOI: 10.1007/s1122201595709  


Cussens, J, Haws, D & Studený, M, (2016), Polyhedral aspects of score equivalence in Bayesian network structure learning, Math. Program., Ser. A, pp. 140. DOI: 10.1007/s1010701610872   


Haws, D, Cussens, J & Studený, M, (2017), Polyhedral approaches to learning Bayesian networks, Algebraic and Geometric Methods in Discrete Mathematics: Contemporary Mathematics. Vol. 685 Providence, RI : American Mathematical Society, p. 155188. 


Studeny´, M & Cussens, J, (2016), The Chordal Graph Polytope for Learning Decomposable Models, Proceedings of the Eighth International Conference on Probabilistic Graphical Models. vol. 52, Journal of Machine Learning Research: Workshop and Conference Proceedings, pp. 499510. 
RIGS programme (20102015)* 
Publications 
On the integrability of symplectic mongeampere equations 
B Doubrov, EV Ferapontov , (2010), The integrability of symplectic Monge–Ampere equations, Journal of Geometry and Physics, Volume 60, Issue 10, p. 16041616, https://arxiv.org/abs/0910.3407 
Singular solutions of mathematical elasticity in compound domains and modelling of failure in bimaterial structural interfaces 
G. Mishuris, A.B. Movchan and D. Bigoni, (2012), Dynamics of a fault steadily propagating within a structural interface, , SIAM Journal on Multiscale Modelling and Simulation, 10(3), 936–953, http://epubs.siam.org/doi/abs/10.1137/110845732 
Singular solutions of mathematical elasticity in compound domains and modelling of failure in bimaterial structural interfaces 
L. Argani, D. Bigoni, G. Mishuris. (2013), Dislocations and inclusions in prestressed metals, Proceedings of the Royal Society A, vol 469, issue 2154 doi:10.1098/rspa.2012.0752. 
Ideas of HerzopNorthcott Type 
Liam O'Carroll, Francesc PlanasVilanova, (2011), Ideals of HerzogNorthcott type, Proc. Edinburgh Math Soc 54 (161186), https://arxiv.org/abs/1001.5397 
exceptional singularities and fano varieties 
Cheltsov,
Park, (2017), Birationally rigid Fano threefold hypersurfaces, Memoirs of the American Mathematical
Society, 2017, vol 246, number 1167, 2017, arXiv:1309.0903v1 
Interaction of drift and noise structures in SDE 
Buckwar, Evelyn; Kelly, Cónall, ( 2012), Nonnormal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations, Comput. Math. Appl. 64, No. 7, 22822293 , http://www.sciencedirect.com/science/article/pii/S0898122112001848 
Interaction of drift and noise structures in SDE 
Evelyn Buckwar and Cónall Kelly, (2014), Asymptotic and Transient MeanSquare Properties of Stochastic Systems Arising in Ecology, Fluid Dynamics, and System Control, SIAM J. Appl. Math., 74(2), 411–433, http://epubs.siam.org/doi/abs/10.1137/120893859 
Functional Integration Methods for NonLocal Operators 
Fumio Hiroshima, Takashi Ichinose, József Lörinczi, (2013), Probabilistic representation and falloff of bound states of relativistic Schrödinger operators with spin 1/2, Publ. RIMS 49, 189214, https://arxiv.org/abs/1109.5829 
Functional Integration Methods for NonLocal Operators 
Fumio Hiroshima, József Lörinczi, LiebThirring Bound for Schrödinger Operators with Bernstein Functions of the Laplacian, 2012, arXiv:1207.0599 
Dynamics of Impact Oscillators 
Mason, J., Humphries N. and Piiroinen, P.T., (2014), Numerical analysis of codimensionone, two and three bifurcations in a periodicallyforced impact oscillator with two discontinuity surfaces, Mathematics and Computers in Simulation 95, pp. 98110,. (DOI: 10.1016/j.matcom.2012.08.010) 
The topology of connected sums via loop space decompostions 
T J. Grbic, T. Panov, S. Theriault, J. Wu, (2016), The homotopy types of momentangle complexes for flag complexes, Transactions of the American Mathematical Society, Vol 368, No 9, 66636682 (http://www.ams.org/journals/tran/201636809/S000299472015065787/S000299472015065787.pdf) 
Developments in the theory of Positive Critical Binomial Ideals 
Liam O'Carroll, Francesc PlanasVilanova, Rafael H. Villarreal, (2014), Degree and algebraic properties of lattice and binomial matrix ideals, SIAM J. Discrete Math. 28, 394427, https://arxiv.org/abs/1303.5382 
Escape of mass and conditional limit laws in dynamical systems 
Demers, M.F., Todd, M, (2017), Slow and Fast Escape for Open Intermittent Maps, Commun. Math. Phys. 351: 775. doi:10.1007/s0022001728296 
Escape of mass and conditional limit laws in dynamical systems 
Henk Bruin, Mark F. Demers, Mike Todd, Hitting and escaping statistics: mixing, targets and holes, 2016, arXiv:1609.01196 
Kstability of varieties with torus action of complexity one 
Nathan Ilten, Hendrik Süß, KStability for Fano Manifolds with Torus Action of Complexity One, 2016, (To appear in Duke Mathematical Journal), arXiv:1507.04442. 
Kstability of varieties with torus action of complexity one 
Piotr Achinger, Nathan Ilten, Hendrik Süß, FSplit and FRegular Varieties with a Diagonalizable Group Action, 2015 (To appear in Journal of Algebraic Geometry). arXiv:1503.03116 
Virtual spaces and hidden symmetries 
Ganna Kudryavtseva, Mark V. Lawson, Daniel H. Lenz, Pedro Resende, (2016), Invariant means on Boolean inverse monoids, Semigroup Forum 92, 77101. https://arxiv.org/abs/1503.03733 
Mathematical analysis of neel walls in thin ferromagnetic films 
Ignat, R. and Moser, R., Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape. 2016, https://arxiv.org/abs/1608.06975 
*18 papers quoted, a further 13 followon papers were mentioned in feedback, but further details were not provided.