Research activities of the group, including PhD students, papers, conferences, seminars and talks.



K Leschke Member of Scientific Committee PADGE 2017, Leuven




F. Martin, J. Perez-Garcia, A. Savas-Halilaj and K. Smoczyk A characterization the of the grim reaper cylinder, J. Reine Angew. Math., ahead of print, DOI: 10.1515/crelle-2016-0011.

L. Hauswirth, M. Kilian, M. Schmidt, Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere. Proc. London Math. Soc. (3), 112, 588-622, 2016

T. Hoffmann, A. Sageman-Furnas, M. Wardetzky A Discrete Parametrized Surface Theory in ℝ3
International Mathematics Research Notices, Volume 2017, Issue 14, 01.07.2017, Pages 4217–4258,

L. Ferrer, F. Martin, R. Mazzeo, M. Rodriguez,   Properly embedded minimal annuli in H^2 x R, arXiv:1704.007788, 2017.

H. Obaida, H. Kadhim, A. Rona, K. Leschke, J. Gostelow: A numerical study of secondary flows in a 1.5 stage axial turbine guiding the design of a non-axisymmetric hub, Proceedings of ASME Turbo Expo 2017, Turbomachinery Technical Conference and Exposition GT2017 26-30.06.2017, Charlotte, NC USA

H. Kadhim, A. Rona, K. Leschke, J. Gostelow: Numerical Study and Optimization of a Contoured Stator Casing in a 1.5 Stage Axial Turbine, submitted.

H. Kadhim, A. Rona, H. Obaida, K. Leschke, The Performance of a 1.5 stage Axial Turbine with a Non-Axisymmetric Casing at Off-Design Conditions, submitted to 9th International Conference on Applied Energy, ICAE2017, 21-24.08.2017, Cardiff, UK

K. Leschke, K. Moriya: Applications of Quaternionic Holomorphic Geometry to minimal surfaces, Complex Manifolds. Volume 3, Issue 1, ISSN (Online) 2300-7443, DOI: 10.1515/coma-2016-0015, November 2016.

T. Hoffmann,  Sageman-Furnas, A 2×2 Lax Representation, Associated Family, and Bäcklund Transformation for Circular K-Nets A.O. Discrete Comput Geom (2016) 56: 472. (first online 28.06.2016)

K. Hasegawa, K. MoriyaTwistor lifts and factorization for conformal maps from a surface to the Euclidean four-space. Adv. Appl. Clifford Algebr. 27, No. 2, 1243-1262 (2017).

A. Rona, K. Kadhim, J Gostelow, K Leschke,Mitigating secondary flows in a 1½ stage axial turbine by a guide groove casing, 23rd ISABE conference, by the International Society of Air-breathing Engines (ISABE), Manchester, UK, 03-08.09.2017. (ISABE), Manchester. 1-8 (8 pages). 03.09.2017

L. Hauswirth, M Kilian, M Schmidt, Singularities of Whitham flows for hyperelliptic spectral curves, https://arXiv:1709.02330

K. MoriyaHolomorphic structures for surfaces in Euclideann n-space

E. S. Gama, F. Martin. Translating solitons of the mean curvature flow asymptotic to hyperplanes in Rn+1. Preprint

J. H. de Lira, F. Martin. Translating solitons in Riemannian products. Preprint

M. Kilian, E. Mota, N. Schmitt Constant Mean Curvature Trinoids with one Irregular End arXiv:1808.05491

M. Kilian,  S. Klein On closed finite gap curves in spaceforms I . arXiv:1801.07032

K. Moriya The Schwarz lemma for super-conformal maps. Hermitian-Grassmannian submanifolds, 59–68, Springer Proc. Math. Stat., 203, Springer, Singapore, 2017.
M. Rabinovich, T. Hoffmann, O. Sorkine-Hornung

H. Kadhim, A. Rona, P. Gostelow, and K. Leschke. Optimization of the non-axisymmetric stator casing of a 1.5 stage axial turbine. International Journal of Mechanical Sciences, Vol. 136, pages 503–514, 2018.

H. Kadhim, A. Rona, H. Obaida, and K. Leschke. The performance of a 1.5 stage axial turbine with a non-axisymmetric casing at off-design conditions. Energy Procedia, Vol. 142, pages 1184–1191, 2018

K. Leschke, K. Moriya. Simple factor dressing and the Lopez-Ros deformation of minimal surfaces. Accepted for publication 2018. arXiv:1409.528

K. Leschke,  K. Moriya.  The μ–Darboux transformation of minimal surfaces. Preprint, 2018.

D. Hoffman, T. Ilmanen, F. Martin,  B. White. Graphical translators for the mean curvature flow, arXiv:1805.10860.
Ye, Diamanti, Tang, Guibas, Hoffmann. A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing,  pdf, Symp. on Geom. Proc. (2018) (received best paper award)

Michael Rabinovich, Tim Hoffmann, and Olga Sorkine-Hornung. The Shape Space of Discrete Orthogonal Geodesic Nets.Preprint.


PhD Students:


L. Collard: (K Leschke) Thesis title: "Characterising the Properties of Metastable Phases in Aerosols", University of Leicester (2018)

H. Kadhim (K Leschke co-supervisor with A Rona, Engineering). Thesis title: "Effect of non-axisymmetric casing design on flow and performance of an axial turbine", University of Leicester (2018)

J. García (F Martin) Thesis title: “Translating solitons of the mean curvature flow” December 2016 University of Granada.

E. Gama. (F Martin) Thesis title: “Problems related with the mean curvature: MCF and minimal surfaces”. University of Granada.

H. Obaida (K Leschke co-supervisor with A Rona, Engineering), Thesis title: "Cryogenic cycle power turbines optimised by hub contouring". University of Leicester,(2017)

B. Koenig (T Hoffman) Thesis title: "A geometric construction for the associated family of S-isothermic CMC sufaces" July 2017, Technical University Munich.

E Mota (M Kilian), University College Cork

J. Torres (F. Martin), University of Granada

Z. Ye (T Hoffmann), TU Munich.


Undergraduate Research Bursary (LMS):

Aneesah Parkar (K Leschke) Deformations of the Gyroid,

Postdocs & Visiting Researchers

Benoit Daniel (Nancy, France) - visiting Granada, July 2017

Tom Ilmanen (ETH, Zurich) - visting Granada, April 2017

Jorge Lira (UFC, Brazil) - visiting Granada, January 2017

Alessandro Carlotto (ETH, Zurich) - visiting Granada, September 2016

Michael Rabinovich (ETH, Zurich) - visiting Munich, November 2016

Sebastian Klein, Postdoc, Cork.

Keomkyo Seo, (Sookmyung University, Korea). January 2018.

Graham Smith (UFRJ, Brazil) visited UCC in January 2018

Laurent Hauswirth (MLV, France) visited UCC in May 2018
Esko Heinonen, University of Helsinki (Finland), Postdoc, Granada.
Fran Burstall, University of Bath, visited UCC in September 2018

Conference/Workshop presentations

K Leschke "A complex associated family for isothermic surfaces", Quaternionic Differential Geometry and its Related Topics ", Ochanomizu University, Tokyo, 6-9.9.2016

T Hoffman "Discrete curvatures and discrete integrable systems", Lecture series at the Autumns school at Graz, Austria, 27.09-06.10.2016.

K. Moriya, "The Weierstrass representation for surfaces in Euclidean space of arbitrary dimension"Geometry section, MSJ Autumn Meeting 2016, at Kansai University, Japan

K Leschke "Soap films, quaternions and geometry", "LMS Prospects in Mathematics", University of York, York, 16-17.12.2016

F  Martin "Translating solitons of the mean curvature flow", Analysis & PDE seminar at Stanford University, February 27, 2017

K Leschke"Introduction to Quaternionic Holomorphic Geometry" Valenciennes.

M Kilian "On Finite Gap Curves" Irish Geometry Conference, NUI Maynooth, Ireland, 26.05.2017

M Kilian "Dressing Curves", "Variational Methods in Submanifold Geometry", University of York, UK, 31.05.2017.

F Martin "Properly embedded minimal annuli in H^2xR"31st Brazilian Colloquium of Mathematics, IMPA, Rio de Janeiro, Brazil. 29.07- 05.08.2017.

K Leschke"Transformation of Minimal Surfaces", Higgs bundles, harmonic maps and integrable Systems", Hannover, 14-18.8.2017

K Moriya, The Schwarz lemma for conformal maps from the open unit disk into the Euclidean four-space. Geometry of Submanifolds and Integrable Systems, Osaka City University, Japan, 2018-03-26--2018-03-30

K Moriya,
Complex structures of vector bundles and harmonic maps into a sphere
Submanifolds at Yuzawa 2017, Yuzawa Grand Hotel, Japan, 2017-11-30--2017-12-02

T Hoffmann, Curvature and integrable surface theory, Paris,  2017

K Moriya,
The spinor representation of conformal mappings of surfaces
Deepening and Development of Submanifold Geometry, Research Institute for Mathematical Sciences, Kyoto University, Japan, 2018-06-25--2018-06-27

K Moriya,
The spinor representation of a surface in an Euclidean space of arbitrary dimension m:iv mini-workshop at University of Leicester, UK, 15th August 2018

K Leschke, Darboux transforms of CMC surfaces revisited, Geometry of Submanifolds and Integrable Systems, OCAMI, Osaka, 2018

F Martin, Minimal Surfaces and Mean Curvature Flow. A Conference in Honor of Brian White. Stanford, July 6-8, 2018.

F Martin, Translating graphs for the MCF in Euclidean space. Tsukuba, 2018

T Hoffmann, Minicourse A discrete surface theory in R^3, TU Wien, 2018

K Leschke, Darboux transforms of minimal surfaces, YDGD,  Leeds, 2018

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