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Professor Uwe Grimm

Professional biography

I am a Professor of Mathematics in the School of Mathematics and Statistics, and currently Head of the School.

I was educated at the University of Bonn in Germany, where I completed a doctorate degree in Physics. After eight years as a post-doctoral researcher in Melbourne, Amsterdam and Chemnitz, I joined the Open University in late 2000.

Research interests

My main research theme is the theory of aperiodic order, and is concerned with ordered spatial structures and their properties. The investigation of aperiodic structures was motivated by the discovery of quasicrystals in the 1980s (for which Dan Shechtman received the Nobel prize in Chemistry in 2011).  A gentle but comprehensive introduction to the topic is given in the monograph Aperiodic Order. Vol. 1: A Mathematical Invitation (Encyclopedia of Mathematics and its Applications 149) by Michael Baake (Bielefeld) and myself, which was published by Cambridge University Press in 2013. The second volume is expected to appear in 2017.

Further research activity concerns application of mathematics, in particular in physics and biology. I was the principal investigator of the Open University part of the BBRSC-funded SysMIC project, which has been developing and delivering a comprehensive online course in the interdisciplinary skills which are increasingly important to cutting edge biological research.

More details of research activity and output can be found on my personal homepage.

Teaching interests

I have been involved in the production or presentation of several undergraduate and postgraduate modules in Mathematics, and have been tutoring groups on the MSc modules M820 and M840.

Impact and engagement

Public engagement is one of my priorities. My research featured in two exhibits at the Royal Society Summer Science Exhibitions in 2004 and 2009. More recently, I was involved in an exhibition at the Science Museum in London as part of the celebrations fo the 150 anniversary of the London Mathematical Society.

External collaborations

For a number of years, I have been an Honorary Associate at the University of Tasmania in Hobart, Australia; my last visit to Hobart was in February/March 2017. I am a Fellow of the Institute of Physics and currently the Chair of the Commission on Aperiodic Crystals of the International Union of Crystallography.

Publications

Spectrum of a Rudin-Shapiro-like sequence (2017-06-01)
Chan, Lax and Grimm, Uwe
Advances in Applied Mathematics, 87 (pp. 16-23)
Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals (2016-12)
Adiceam, Faustin; Damanik, David; Gähler, Franz; Grimm, Uwe; Haynes, Alan; Julien, Antoine; Navas, Andrés ; Sadun, Lorenzo and Weiss, Barak
Arnold Mathematical Journal, 2(4) (pp. 579-592)
A guide to lifting aperiodic structures (2016-09-01)
Baake, Michael; Écija, David and Grimm, Uwe
Zeitschrift für Kristallographie - Crystalline Materials, 231(9) (pp. 507-515)
WHAT IS...Aperiodic Order? (2016-06)
Baake, Michael; Damanik, David and Grimm, Uwe
Notices of the American Mathematical Society, 63(6) (pp. 647-650)
Aperiodic crystals and beyond (2015-06)
Grimm, Uwe
Acta Crystallographica Section B , 71(3) (pp. 258-274)
Squirals and beyond: substitution tilings with singular continuous spectrum (2014-08)
Baake, Michael and Grimm, Uwe
Ergodic Theory and Dynamical Systems, 34(4) (pp. 1077-1102)
Scaling of the Thue-Morse diffraction measure (2014-08)
Baake, M.; Grimm, U. and Nilsson, J.
Acta Physica Polonica A, 126(2) (pp. 431-434)
Recent progress in mathematical diffraction (2014-08)
Grimm, U. and Baake, M.
Acta Physica Polonica A, 146(2) (pp. 474-478)
Examples of substitution systems and their factors (2013-03-02)
Baake, Michael; Gähler , Franz and Grimm, Uwe
Journal of Integer Sequences, 16, Article 13.2.14(2) (pp. 1-18)
Hexagonal inflation tilings and planar monotiles (2012-12)
Baake, Michael; Gähler , Franz and Grimm, Uwe
Symmetry, 4(4) (pp. 581-602)
On the notions of symmetry and aperiodicity for Delone sets (2012-10-10)
Baake, Michael and Grimm, Uwe
Symmetry, 4(4) (pp. 566-580)
Mathematical diffraction of aperiodic structures (2012-10)
Baake, Michael and Grimm, Uwe
Chemical Society Reviews, 41(20) (pp. 6821-6843)
A comment on the relation between diffraction and entropy (2012-05-07)
Baake, Michael and Grimm, Uwe
Entropy, 14(5) (pp. 856-864)
Spectral and topological properties of a family of generalised Thue-Morse sequences (2012-03-01)
Baake, Michael; Gähler, Franz and Grimm, Uwe
Journal of Mathematical Physics, 53(3) (p 32701)
Electrons in quasicrystals (2011-12-14)
Grimm, Uwe
Israel Journal of Chemistry, 51(11-12) (pp. 1257-1262)
Kinematic diffraction from a mathematical viewpoint (2011-09)
Baake, Michael and Grimm, Uwe
Zeitschrift für Kristallographie, 226(9) (pp. 711-725)
Diffraction of limit periodic point sets (2011-07)
Baake, Michael and Grimm, Uwe
Philosophical Magazine, 91(19-21) (pp. 2661-2670)
Light transmission through metallic-mean quasiperiodic stacks with oblique incidence (2011-07)
Thiem, Stefanie; Schreiber, Michael and Grimm, Uwe
Philosophical Magazine, 91(19-21) (pp. 2801-2810)
Some comments on pinwheel tilings and their diffraction (2011)
Grimm, Uwe and Deng, Xinghua
Journal of Physics: Conference Series, 284(1) (p 12032)
Surprises in aperiodic diffraction (2010)
Baake, Michael and Grimm, Uwe
Journal of Physics: Conference Series, 226(1) (p 12023)
Wave packet dynamics, ergodicity, and localization in quasiperiodic chains (2009-12-22)
Thiem, Stefanie; Schreiber, Michael and Grimm, Uwe
Physical Review B, 80(21) (p 214203)
Kinematic diffraction is insufficient to distinguish order from disorder (2009-01-01)
Baake, Michael and Grimm, Uwe
Physical Review B, 79, Article 020203(R)(2)
Homometric point sets and inverse problems (2008-12)
Grimm, Uwe and Baake, Michael
Zeitschrift für Kristallographie, 223(11-12) (pp. 777-781)
On the entropy and letter frequencies of powerfree words (2008-11-12)
Grimm, Uwe and Heuer, Manuela
Entropy, 10(4) (pp. 590-612)
Coincidence rotations of the root lattice A4 (2008-11)
Baake, Michael; Grimm, Uwe; Heuer, Manuela and Zeiner, Peter
European Journal of Combinatorics, 29(8) (pp. 1808-1819)
How will public and animal health interventions drive life-history evolution in parasitic nematodes? (2008-11)
Lynch, Penelope A.; Grimm, Uwe and Read, Andrew F.
Parasitology, 135(13) (pp. 1599-1611)
The singular continuous diffraction measure of the Thue-Morse chain (2008-10-24)
Baake, Michael and Grimm, Uwe
Journal of Physics A: Mathematical and Theoretical, 41(42) (p 422001)
Pinwheel patterns and powder diffraction (2007-07)
Baake, Michael; Frettlöh, Dirk and Grimm, Uwe
Philosophical Magazine, 87(18-21) (pp. 2831-2838)
A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns (2007-04)
Baake, Michael; Frettlöh, Dirk and Grimm, Uwe
Journal of Geometry and Physics, 57(5) (pp. 1331-1343)
Homometric model sets and window covariograms (2007-02)
Baake, Michael and Grimm, Uwe
Zeitschrift für Kristallographie, 222(2) (pp. 54-58)
Surprises in approximating Levenshtein distances (2006-11-21)
Baake, Michael; Grimm, Uwe and Giegerich, Robert
Journal of Theoretical Biology, 243(2) (pp. 279-282)
Multiple planar coincidences with N-fold symmetry (2006-07)
Baake, Michael and Grimm, Uwe
Zeitschrift für Kristallographie, 221(8) (pp. 571-581)
Freely forming groups: trying to be rare (2006-07)
Baake, Michael; Grimm, Uwe and Jockusch, Harald
The ANZIAM Journal, 48 (pp. 1-10)
Interplay between magnetic and spatial order in quasicrystals (2006-02-21)
Vedmedenko, E.Y.; Grimm, U. and Wiesendanger, R.
Philosophical Magazine, 86(6-8) (pp. 733-739)
Averaged coordination numbers of planar aperiodic tilings (2006-01-21)
Baake, M. and Grimm, U.
Philosophical Magazine, 86(3-5) (pp. 567-572)
Spectral and diffusive properties of silver-mean quasicrystals in one, two, and three dimensions (2005-08-04)
Cerovski, V.Z.; Schreiber, M. and Grimm, U.
Physical Review B, 72(5) (p 54203)
The forbidden beauty of quasicrystals (2004-12)
McGrath, Rónán; Grimm, Uwe and Diehl, Renee D.
Physics World, 17(12) (pp. 23-27)
Noncollinear magnetic order in quasicrystals (2004-08-13)
Vedmedenko, E.Y.; Grimm, U. and Wiesendanger, R.
Physical Review Letters, 93(7) (pp. 0764071-0764074)
Maximum principle and mutation thresholds for four-letter sequence evolution (2004-07)
Garske, Tini and Grimm, Uwe
Journal of Statistical Mechanics: Theory and Experiment(P07007)
Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble (2004-06-25)
Grimm, Uwe
Physica status solidi b: basic research, 241(9) (pp. 2139-2147)
A maximum principle for the mutation-selection equilibrium of nucleotide sequences (2004-05)
Garske, Tini and Grimm, Uwe
Bulletin of Mathematical Biology, 66(3) (pp. 397-421)
Tilings colourful - only even more so (2004-03-15)
Baake, Michael; Grimm, Uwe and Scheffer, Max
Journal of Non-Crystalline Solids, 334-33 (pp. 83-85)
On the entropy and letter frequencies of ternary square-free words (2004-02-14)
Richard, Christoph and Grimm, Uwe
Electronic Journal of Combinatorics, 11(1) (R14)
Bravais colourings of planar modules with N-fold symmetry (2004-02)
Baake, Michael and Grimm, Uwe
Zeitschrift für Kristallographie, 219(2) (pp. 72-80)
Shelling of homogeneous media (2004)
Grimm, Uwe and Baake, Michael
Ferroelectrics, 305 (pp. 173-178)
The bubble algebra: structure of a two-colour Temperley–Lieb Algebra (2003-10-07)
Grimm, Uwe and Martin, Paul P.
Journal of Physics A: Mathematical and General, 36(42) (pp. 10551-10571)
A Note on shelling (2003-10)
Baake, Michael and Grimm, Uwe
Discrete and Computational Geometry, 30(4) (pp. 573-589)
Colourings of planar quasicrystals (2002-08-14)
Baake, Michael; Grimm, Uwe and Scheffer, Max
Journal of Alloys and Compounds, 342(1-2) (pp. 195-197)
Spectrum of a duality-twisted Ising quantum chain (2002-01-25)
Grimm, Uwe
Journal of Physics A: Mathematical and General, 35(3) (L25-L30)
A supersymmetric U_q[osp(2|2)]-extended Hubbard model with boundary fields (2001-12-17)
Guan, X. W.; Foerster, A.; Grimm, U.; Römer, R. A. and Schreiber, M.
Nuclear Physics B, 618(3) (pp. 650-674)
Improved bounds on the number of ternary square-free words (2001)
Grimm, Uwe
Journal of Integer Sequences, 4(2)
Universal level-spacing statistics in quasiperiodic tight-binding models (2000-12-15)
Grimm, Uwe; Roemer, Rudolf A.; Schreiber, Michael and Zhong, Jian-Xin
Materials Science and Engineering A, 294-296 (pp. 564-567)
Averaged shelling for quasicrystals (2000-12-15)
Baake, Michael; Grimm, Uwe; Joseph, Dieter and Repetowicz, Przemyslaw
Materials Science and Engineering A, 294-296 (pp. 441-445)
Planar quasiperiodic Ising models (2000-12-15)
Repetowicz, Przemyslaw; Grimm, Uwe and Schreiber, Michael
Materials Science and Engineering A, 294-296 (pp. 638-641)
Energy spectra, wave functions, and quantum diffusion for quasiperiodic systems (2000-12-15)
Yuan, H. Q.; Grimm, U.; Repetowicz, P. and Schreiber, M.
Physical Review B, 62(23) (pp. 15569-15578)
Trace and antitrace maps for aperiodic sequences: Extensions and applications (2000-12-01)
Wang, Xiaoguang; Grimm, Uwe and Schreiber, Michael
Physical Review B, 62(21) (pp. 14020-14031)
Integrable impurities for an open fermion chain (2000-06-02)
Guan, Xi-Wen; Grimm, Uwe; Roemer, Rudolf A. and Schreiber, Michael
Journal of Physics A: Mathematical and General, 33(21) (pp. 3863-3879)
Energy levels of quasiperiodic Hamiltonians, spectral unfolding, and random matrix theory (1999-10)
Schreiber, Michael; Grimm, Uwe; Roemer, Rudolf A. and Zhong, Jianxin
Computer Physics Communications, 121-122 (pp. 499-501)
High-temperature expansion for Ising models on quasiperiodic tilings (1999-06-18)
Repetozwicz, Przemyslaw; Grimm, Uwe and Schreiber, Michael
Journal of Physics A: Mathematical and General, 32(24) (pp. 4397-4418)
Application of random matrix theory to quasiperiodic systems (1999-04-15)
Schreiber, Michael; Grimm, Uwe; Roemer, Rudolf A. and Zhong, Jian-Xin
Physica A: Statistical and Theoretical Physics, 266(1-4) (pp. 477-480)
Two interacting particles at the metal-insulator transition (1999-04-01)
Eilmes, Andrzej; Grimm, Uwe; Roemer, Rudolf A. and Schreiber, Michael
European Physical Journal B - Condensed Matter and Complex Systems, 8(4) (pp. 547-554)
Lax pair formulation for a small-polaron chain with integrable boundaries (1998-11)
Guan, Xi-Wen; Grimm, Uwe and Römer, Rudolf A.
Annalen der Physik, 7(5-6) (pp. 518-522)
Electronic states in topologically disordered systems (1998-11)
Grimm, Uwe; Römer, Rudolf A. and Schliecker, Gudrun
Annalen der Physik, 7(5-6) (pp. 389-393)
Aperiodic Order. Vol 1. A Mathematical Invitation (2013-09)
Baake, Michael and Grimm, Uwe
Encyclopedia of Mathematics and its Applications
ISBN : 9780521869911 | Publisher : Cambridge University Press | Published : Cambridge
Aperiodic Order (2017-02)
Grimm, Uwe
In: Bullett, Shaun; Fearn, Tom and Smith, Frank eds. Dynamical and Complex Systems. LTCC Advanced Mathematics Series (5) (pp. 41-80)
ISBN : 9781786341020 | Publisher : World Scientific Europe | Published : London
Non-periodic Systems with Continuous Diffraction Measures (2015-06-30)
Baake, Michael; Birkner, Matthias and Grimm, Uwe
In: Kellendonk, Johannes; Lenz, Daniel and Savinien, Jean eds. Mathematics of Aperiodic Order. Progress in Mathematics (309) (pp. 1-32)
ISBN : 978-3-0348-0902-3 | Publisher : Birkhauser | Published : Basel
Electronic structure of quasicrystals (2005-08)
Grimm, Uwe and Schreiber, Michael
In: Bassani, G; Liedl, Gerald and Wyder, Peter eds. Encyclopedia of Condensed Matter Physics (pp. 95-100)
ISBN : 0-12-227610-8 | Publisher : Academic Press | Published : U.S
Quasicrystalline combinatorics (2003-11-30)
Baake, Michael and Grimm, Uwe
In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Metens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetries. Institute of Physics Conference Series (173) (pp. 193-200)
ISBN : 750309334 | Publisher : IOP Publishing Ltd | Published : Bristol, UK
Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians (2003-04)
Grimm, Uwe and Schreiber, Michael
In: Trebin, Hans-Rainer ed. Quasicrystals: Structure and Physical Properties (pp. 210-235)
ISBN : 9783527403998 | Publisher : Wiley-VCH | Published : Weinheim
Combinatorial problems of (quasi-)crystallography (2003)
Baake, Michael and Grimm, Uwe
In: Trebin, Hans-Rainer ed. Quasicrystals: Structure and Physical Properties (pp. 160-171)
ISBN : 9783527403998 | Publisher : Wiley-VCH | Published : Weinheim
Duality and conformal twisted boundaries in the Ising model (2003)
Grimm, Uwe
In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Métens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetry. Institute of Physics Conference Series (173) (pp. 395-398)
ISBN : 750309334 | Publisher : IOP Publishing Ltd | Published : Bristol, UK
Modelling quasicrystal growth (2002-07)
Grimm, Uwe and Joseph, Dieter
In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (55) (pp. 199-218)
ISBN : 978-3-540-64224-4 | Publisher : Springer Verlag | Published : Berlin
Aperiodic tilings on the computer (2002-07)
Grimm, Uwe and Schreiber, Michael
In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (55) (pp. 49-66)
ISBN : 978-3-540-64224-4 | Publisher : Springer Verlag | Published : Berlin
Partition function zeros of aperiodic Ising models (2002-06)
Grimm, Uwe and Repetowicz, Przemyslaw
In: Kapuscik, Edward and Horzela, Andrzej eds. Quantum Theory and Symmetries (pp. 354-359)
ISBN : 981-02-4887-3 | Publisher : World Scientific | Published : Singapore
Aperiodicity and Disorder - Do They Play a Role? (2002)
Grimm, Uwe
In: Hoffmann, K.-H. and Schreiber, Michael eds. Computational Statistical Physics: From Billiards to Monte-Carlo (pp. 191-210)
ISBN : 978-3-540-42160-3 | Publisher : Springer-Verlag | Published : Berlin
Further Reading: Literature on Quasicrystals (2002)
Baake, Michael and Grimm, Uwe
In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (pp. 539-544)
ISBN : 978-3-540-64224-4 | Publisher : Springer-Verlag | Published : Berlin
Incommensurate crystals and quasicrystals (2001-10)
Grimm, Uwe and Scheffer, Max
In: Meyers, Robert A. ed. Encyclopedia of Physical Science and Technology (pp. 731-749)
ISBN : 0-12-227410-5 | Publisher : Academic Press | Published : San Diego
A guide to quasicrystal literature (2000)
Baake, Michael and Grimm, Uwe
In: Baake, Michael and Moody, Robert V. eds. Directions in Mathematical Quasicrystals. CRM Monograph Series (13) (pp. 371-373)
ISBN : 821826298 | Publisher : American Mathematical Society | Published : Providence, Rhode Island, USA
6th International Conference on Aperiodic Crystals (APERIODIC'09) (2010-05-19)
Grimm, Uwe; McGrath, Rónán; Degtyareva, Olga and Sharma, Hem Raj eds.
Journal of Physics: Conference Series
Publisher : IoP Publising Ltd | Published : London
Perspectives on Solvable Models (1995-01)
Grimm, Uwe and Baake, Michael eds.
ISBN : 981-02-2107-X | Publisher : World Scientific | Published : Singapore
Mathematical diffraction theory of deterministic and stochastic structures: An informal summary (2011-02)
Baake, Michael and Grimm, Uwe
In : Mathematics of Quasi-Periodic Order (21 - 23 June 2010, RIMS, Kyoto, Japan)
Financing SMEs: a model for optimising the capital structure (2010)
Moro, A.; Lucas, Michael; Grimm, U. and Grassi, E.
In : 17th Annual Global Finance Conference (27-30 June 2010, Poznan)

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