Entrance hall of the ICMSWorkshop 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 (2010-2015).  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)






Singularities in geometry and applications III


Conference Proceedings, Journal of Singularities,   Volume 12: Singularities in Geometry and Applications III, 2-6 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. 337-352, 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


Anderies, John M., et al. (2013), The topology of non-linear 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 rate-induced tipping, http://arxiv.org/abs/1606.08180



Peter Ashwin, Clare Perryman, Sebastian Wieczorek, Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced 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 978-3-319-55471-6



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 Vejdemo-Johansson  (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. 2030-2068, 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 α-stable noise ,  Multiscale Modeling and Simulation (SIAM), Multiscale Model. Simul., 1194-1223, https://arxiv.org/abs/1410.1837

Stochastic, statistical and computational approaches to Immunology


Höfer T, Barile M, Flossdorf M, (2016), Stem-cell dynamics and lineage topology from in vivo fate mapping in the hematopoietic system, Current Opinion in Biotechnology 2016 Jun;  39:150-6, 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):891-3, 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
(IPISB 2013)


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


Kael Dixon, Regular ambitoric 4-manifolds: 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 Kähler-Einstein geometry, 2016,  https://arxiv.org/abs/1506.04630



Mario Garcia-Fernandez, 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 Donaldson-Futaki invariant for sequences of test configurations, Geometry and Analysis on Manifolds, Volume 308 of the series Progress in Mathematics pp 395-403, http://link.springer.com/chapter/10.1007%2F978-3-319-11523-8_16



T. Mabuchi,  Y. Nitta, (2015),  Strong K-stability and asymptotic Chow-stability, Geometry and Analysis on Manifolds, , Volume 308 of the series Progress in Mathematics pp 405-411. http://www.springer.com/in/book/9783319115221

Differential Geometry and Continuum Mechanics


Conference Proceedings, Springer Proceedings in Mathematics & Statistics, Differential Geometry and Continuum Mechanics  Editors: Chen, Gui-Qiang, Grinfeld, Michael, Knops, R. J. (Eds.)  http://www.springer.com/gb/book/9783319185729   (ICMS acknowledged)

Mathematics of Splashing


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/aop-cambridge-core/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/journal-of-fluid-mechanics/article/splash-jet-generated-by-collision-of-two-liquid-wedges/1C43DD3B879766208C3455E536A21F02

The role of complex analysis in complex dynamics


Núria Fagella, Sébastien Godillon, Xavier Jarque, (2015), Wandering domains for composition of entire functions,  J. Math. Anal. Appl., 429, 478-496, https://arxiv.org/abs/1410.3221



 J K Langley, The Schwarzian derivative and the Wiman-Valiron 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 Rempe-Gillen, Dave Sixsmith, Hyperbolic entire functions and the Eremenko-Lyubich class: Class B or not class B? 2016, https://arxiv.org/abs/1502.00492

The structure and classification of nuclear C*-algebras


I Putnam, Some classifiable groupoid C*-algebras with prescribed K-theory,  2017, arXiv:1611.04649



Robin J. Deeley, Ian F. Putnam, Karen R. Strung, Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra, 2015,  https://arxiv.org/abs/1503.03800





Workshop (2014)


Papers etc




Gauge theories: quivers, tilings and Calabi-Yau


Amihay Hanany, Vishnu Jejjala, Sanjaye Ramgoolam, Rak-Kyeong 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, Rak-Kyeong 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, Rak-Kyeong Seong, Mass-deformed Brane Tilings, 2014,  https://arxiv.org/abs/1408.1957



Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong, Daisuke Yokoyama, 2d (0,2) Quiver Gauge Theories and D-Branes, 2015, arXiv:1506.03818.

Computational methods for statistical mechanics


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


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 p-henselian valuations, Annals of Pure and Applied Logic, vol  166, pp. 741-754, 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


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 Kühn-Osthus 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, Non-commutative Functional Calculus and Spectral Theory, Journal d'Analyse Mathématique (to appear), https://arxiv.org/abs/1504.07323 



Agler, McCarthy, (2015), Non-commutative holomorphic functions on operator domains,  European Journal of Mathematics,  1:4,731-745, http://link.springer.com/article/10.1007/s40879-015-0064-2



Agler, McCarthy  (2015), Global holomorphic functions in several non-commuting variables,  Canadian Journal of Mathematics,  67:2, 241-285,  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 Γ-interpolation conjecture, Annales Polonici Mathematici., vol 114,issue 2 ,  pg 115-121, https://eudml.org/doc/280571

Algebraic Lie theory and representation theory


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



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



Shun-Jen Cheng, Jae-Hoon Kwon, Finite-dimensional half-integer 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/A-Family-of-Graded-Decomposition-Numbers-for

Pseudospectra of operators: spectral singularities, semiclassics, pencils and random matrices

 Sep 2014

Fritz Gesztesy, Sergey N. Naboko, Rudi Weikard, Maxim Zinchenko, Donoghue-Type m-Functions for Schrödinger Operators with Operator-Valued Potentials, 2015,  https://arxiv.org/abs/1506.06324



S N Chandler-Wilde, M Lindner,  (2016), Coburn's lemma and the finite section method for random Jacobi operators. Journal of Functional Analysis, 270, 802-841, https://arxiv.org/abs/1505.05188



S N Chandler-Wilde & R Hagger, (2017),  On symmetries of the Feinberg-Zee 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/s10107-016-1083-6 -

Statistical and computational methods for relatedness and relationship inference from genetic marker data

 Sep 2014

Special Issue:  Theoretical Population Biology
Volume 107, Pages 1-76 (February 2016). New Developments in Relatedness and Relationship Estimation. 
Edited by James Cussens and Nuala A. Sheehan, http://www.sciencedirect.com/science/journal/00405809/107 (9papers),



Speed D, Balding DJ, (2015), Relatedness in the post-genomic era: is it still useful? Nat Rev Genet, - 16 (1), 33-44. doi:10.1038/nrg3821 



Speed D, Cai N, UCLEB Consortium, Johnson M, Nejentsev S, Balding DJ, (2017), Re-evaluation 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 Resting-State fMRI Networks Using Integer Programming, Bayesian Analysis, vol 10, no. 2, pp. 441-478. DOI: 10.1214/14-BA913



Oates, CJ, Smith, JQ, Mukherjee, S & Cussens, J, (2015), 'Exact estimation of multiple directed acyclic graphs' Statistics and computing, pp. 1-15. DOI: 10.1007/s11222-015-9570-9 -



Cussens, J, Haws, D & Studený, M, (2016), Polyhedral aspects of score equivalence in Bayesian network structure learning, Math. Program., Ser. A, pp. 1-40. DOI: 10.1007/s10107-016-1087-2 -  -



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. 155-188.



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. 499-510.



RIGS programme (2010-2015)*


On the integrability of symplectic monge-ampere equations

B Doubrov, EV Ferapontov , (2010), The integrability of symplectic Monge–Ampere equations, Journal of Geometry and Physics, Volume 60, Issue 10, p. 1604-1616, https://arxiv.org/abs/0910.3407

Singular solutions of mathematical elasticity in compound domains and modelling of failure in bi-material 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 bi-material 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 Herzop-Northcott Type

Liam O'Carroll, Francesc Planas-Vilanova, (2011), Ideals of Herzog-Northcott type, Proc. Edinburgh Math Soc 54 (161-186), 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), Non-normal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations, Comput. Math. Appl. 64, No. 7, 2282-2293 , 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 Mean-Square 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 Non-Local Operators

Fumio Hiroshima, Takashi Ichinose, József Lörinczi, (2013), Probabilistic representation and fall-off of bound states of relativistic Schrödinger operators with spin 1/2, Publ. RIMS 49, 189-214, https://arxiv.org/abs/1109.5829

Functional Integration Methods for Non-Local Operators

Fumio Hiroshima, József Lörinczi, Lieb-Thirring 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 codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces, Mathematics and Computers in Simulation 95, pp. 98--110,. (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 moment-angle complexes for flag complexes, Transactions of the American Mathematical Society, Vol 368, No 9, 6663-6682 (http://www.ams.org/journals/tran/2016-368-09/S0002-9947-2015-06578-7/S0002-9947-2015-06578-7.pdf)

Developments in the theory of Positive Critical Binomial Ideals

Liam O'Carroll, Francesc Planas-Vilanova, Rafael H. Villarreal, (2014), Degree and algebraic properties of lattice and binomial matrix ideals, SIAM J. Discrete Math. 28, 394-427, 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/s00220-017-2829-6

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

K-stability of varieties with torus action of complexity one

Nathan Ilten, Hendrik Süß, K-Stability for Fano Manifolds with Torus Action of Complexity One, 2016, (To appear in Duke Mathematical Journal), arXiv:1507.04442.

K-stability of varieties with torus action of complexity one

Piotr Achinger, Nathan Ilten, Hendrik Süß, F-Split and F-Regular 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, 77--101.  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 follow-on papers were mentioned in feedback, but further details were not provided.