Activities

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

Publications

 

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, https://doi.org/10.1093/imrn/rnw015

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.

M. Rabinovich, T. Hoffmann, O. Sorkine-Hornung: Discrete Geodesic Nets for Modeling Developable Surfaces, submitted, https://arxiv.org/abs/1707.08360

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. International Society of Air-breathing Engines (ISABE), Manchester. 1-8 (8 pages). 03.09.2017 http://iris.le.ac.uk/viewobject.html?cid=1&id=249068

L. Hauswirth, M Kilian, M Schmidt, Singularities of Whitham flows for hyperelliptic spectral curves, https://arXiv:1709.02330
Katsuhiro MoriyaHolomorphic structures for surfaces in Euclideann n-space https://arxiv.org/abs/1707.07246

Current PhD Students:

L. Collard (K Leschke co-supervisor with A. Hudson, Chemistry), University of Leicester

H. Obaida (K Leschke co-supervisor with A Rona, Engineering), submitted, University of Leicester

H. Kadhim (K Leschke co-supervisor with A Rona, Engineering). University of Leicester

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.

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


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

Graham Smith (UFR, France) - visiting Cork.

Sebastian Klein,Postdoc, Cork.


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

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