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New Journal of Physics, ISSN 1367-2630, 11/2017, Volume 19, Issue 11, p. 113030
Using tools and concepts from contact topology we show that non-vanishing twist implies conservation of the layer structure in cholesteric liquid crystals.... 
contact topology | applied topology | liquid crystals | cholesterics | PHYSICS, MULTIDISCIPLINARY | HYDRODYNAMICS | CLASSIFICATION | DISTORTIONS | COLLOIDS | DROPLETS | INSTABILITIES | TRANSITION | SOLITONS | LIQUID-CRYSTALS | TRANSIENT-PLANAR | Cholesteric liquid crystals | Topology | Configurations | Crystal structure
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2018, Volume 121, Issue 23, p. 237801
We show that a fixed set of woven defect lines in a nematic liquid crystal supports a set of nonsingular topological states which can be mapped on to recurrent... 
TOPOLOGICAL DEFECTS | PHYSICS, MULTIDISCIPLINARY | KNOTS | Particle theory | Crystal defects | Domain walls | Hypothetical particles | Nematic crystals | Liquid crystals | Solitary waves
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 8/2013, Volume 110, Issue 35, pp. 14174 - 14179
Journal Article
Physical Review X, ISSN 2160-3308, 2016, Volume 6, Issue 1, p. 011033
Three-dimensional orientational order in systems whose ground states possess nonzero gradients typically exhibits linelike structures or defects:. lines in... 
Condensed Matter Physics | Interdisciplinary Physics | SKYRMION LATTICE | STATES | PHYSICS, MULTIDISCIPLINARY | POLARIZATION SINGULARITIES | REAL-SPACE OBSERVATION | BLUE-PHASE | KNOTS | Soft Matter | LIQUID-CRYSTALS | ELECTROMAGNETIC-WAVES | TRANSVERSE FIELDS | GEOMETRY | Physics - Soft Condensed Matter
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 12/2019, Volume 372, Issue 2, pp. 525 - 542
We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | ORDERED MEDIA | PHYSICS, MATHEMATICAL
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2014, Volume 113, Issue 2, p. 027801
We show that the number of distinct topological states associated with a given knotted defect, L, in a nematic liquid crystal is equal to the determinant of... 
FLUIDS | FIELDS | PHYSICS, MULTIDISCIPLINARY | DISCLINATION LOOPS | DYNAMICS | LATTICES | COLLOIDS | ORDERED MEDIA | LINES
Journal Article
Physical Review Letters, ISSN 0031-9007, 06/2017, Volume 118, Issue 25, p. 257801
Smectic liquid crystals are characterized by layers that have a preferred uniform spacing and vanishing curvature in their ground state. Dislocations in... 
PHYSICS, MULTIDISCIPLINARY | Physics - Soft Condensed Matter
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2020
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 07/2016, Volume 472, Issue 2191, p. 20160265
We give the global homotopy classification of nematic textures for a general domain with weak anchoring boundary conditions and arbitrary defect set in terms... 
Liquid crystals | Topological defects | Knot theory | knot theory | MEMORY | MAPS | topological defects | SINGULARITIES | MULTIDISCIPLINARY SCIENCES | liquid crystals | LOOPS | HANDLES | KNOTS | COLLOIDAL CRYSTALS | SURFACES | 1009 | 120
Journal Article
Physical Review X, ISSN 2160-3308, 2014, Volume 4, Issue 3, p. 031050
We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret... 
DEFECTS | PHYSICS, MULTIDISCIPLINARY | ORDERED MEDIA | LIQUID-CRYSTALS | Physics - Soft Condensed Matter
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2016, Volume 117, Issue 1, p. 017801
We show that highly twisted minimal strips can undergo a nonsingular transition, unlike the singular transitions seen in the Mobius strip and the catenoid. If... 
POLYACETYLENE | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | FILM BRIDGE | SURFACES | Strip | Bundling | Mathematical analysis | Solitons | Instability | Boundaries | Protective coatings | Defects | Physics - Soft Condensed Matter
Journal Article
Liquid Crystals Today, ISSN 1358-314X, 07/2019, Volume 28, Issue 3, pp. 58 - 67
We review some our results concerning the topology of knotted and linked defects in nematic liquid crystals. We discuss the global topological classification... 
knots | topology | Defects | Crystal defects | Polynomials | Topology | Nematic crystals | Liquid crystals | Knots
Journal Article
ISSN 0031-9007, 2016
We show that highly twisted minimal strips can undergo a nonsingular transition, unlike the singular transitions seen in the Möbius strip and the catenoid. If... 
Journal Article
Journal Article
02/2020
If the vorticity field of an ideal fluid is tangent to a foliation, additional conservation laws arise. For a class of zero-helicity vorticity fields the... 
Journal Article
01/2020
We show the Godbillon-Vey invariant arises as a `restricted Casimir' invariant for three-dimensional ideal fluids associated to a foliation. We compare to a... 
Journal Article
2016
Liquid crystals exhibit a rich set of phenomena with a geometric and topological flavour. In this thesis the study nematic and cholesteric phases of liquid... 
QA Mathematics
Dissertation
Physical Review E, ISSN 2470-0045, 12/2018, Volume 98, Issue 6
Using inverse Ising inference we show that the absorbing states of the one-dimensional Manna model can be described by an equilibrium model with an emergent... 
PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Physics - Statistical Mechanics
Journal Article
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