Activities

Memberships

• K Leschke Member of Scientific Committee PADGE 2017, Leuven

Publications

• 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
• K. Leschke, K. Moriya: Applications of Quaternionic Holomorphic Geometry to minimal surfaces, Complex Manifolds. Volume 3, Issue 1, ISSN (Online) 2300-7443, 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)
• T. Hoffmann, A. Sageman-Furnas, M. Wardetzky A Discrete Parametrized Surface Theory in ℝ^3, International Mathematics Research Notices, Volume 2017, Issue 14, 01.07.2017, Pages 4217–4258
• 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, Proceedings of the 9th International Conference on Applied Energy, ICAE2017, paper 204, Cardiff, UK, 21-24 August 2017. Published by Elsevier in the Energy Procedia, ISBN: 1876-610
• H. Obaida, H. Kadhim, A. Rona,  K. Leschke, P. 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, GT2017-65251, Charlotte, NC, USA, 26-30 June 2017
• 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
• K. Moriya, The Schwarz lemma for super-conformal maps. Hermitian-Grassmannian submanifolds, 59–68, Springer Proc. Math. Stat., 203, Springer, Singapore, 2017
• H. Kadhim, A. Rona, P. Gostelow, 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
• D. Ye,  G. Tang,  T. Hoffmann. A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing,  Symp. on Geom. Proc. (2018) (received best paper award)
• F. Martin, J. Perez-Garcia, A. Savas-Halilaj and K. Smoczyk A characterization the of the grim reaper cylinder, Journal für reine und angewandte Mathematik, Volume 2019, Issue 746 (Jan 2019), pp. 209–234
• D. Hoffman, T. Ilmanen, F. Martin and B. White. Graphical translators for the mean curvature flow. Calculus of Variations and PDE’s, vol. 58, (2019), art. 117
• J. Lira and F. Martin. Translating solitons in Riemannian products. Journal of Differential Equations, Volume 266, Issue 12, 5 June 2019, Pages 7780-7812
• L. Ferrer, F. Martin, R. Mazzeo, M. Rodriguez. Properly embedded minimal annuli in H2xR. Math. Ann., Volume 375, Issue 1–2, (2019), pp 541–594
• K. Leschke, K. Moriya. Simple factor dressing and the Lopez-Ros deformation of minimal surfaces in Euclidean 3-space, Math. Z 291(3), 1015-1058, DOI 10.1007/s00209-018-2217-8, online
• K. Leschke, K. Moriya. The μ–Darboux transformation of minimal surfaces, manuscripta mathematica, August 2019
• M. Rabinovich, T. Hoffmann, O. Sorkine-Hornung, Modeling Curved Folding with Freeform Deformations, ACM Siggraph Asia, 2019
• M. Kilian, E. Mota, N. Schmitt; Constant Mean Curvature Trinoids with one Irregular End To appear in Tohoku Math. J
• L. Hauswirth, M Kilian, M Schmidt, Singularities of Whitham flows for hyperelliptic spectral curves
• E. S. Gama, F. Martin. Translating solitons of the mean curvature flow asymptotic to hyperplanes in ⁿ⁺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
• M. Kilian, S. Klein On closed finite gap curves in spaceforms I
• S. Klein, M. Kilian; On closed finite gap curves in spaceforms II Submitted
• M. Kilian, G. Smith; Sur un système intégrable à bord Submitted
• L. Ferrer, F. Martin, R. Mazzeo, M. Rodriguez. Families of minimal surfaces in H2xR foliated by arcs and their Jacobi fields. Preprint, 2019
• K. Leschke: Links between the integrable systems of CMC surfaces, isothermic surfaces and constrained Willmore surfaces. Preprint 2019
• M. Rabinovich, T. Hoffmann, O. Sorkine-Hornung. The Shape Space of Discrete Orthogonal Geodesic Nets. Preprint
• D. Hoffman, F. Martin and B. White. Scherk-like Translators for Mean Curvature Flow. Preprint, 2019
• D. Hoffman, T. Ilmanen, F. Martin, B. White. Notes on Translating Solitons of the Mean Curvature Flow. Preprint, 2019
• J. Cho, K. Leschke, Y. Ogata, Generalised Bianchi permutability.. In preparation
• K. Leschke, Darboux transforms of minimal surfaces. In preparation
• T. Hoffmann, A. O. Sageman-Furnas, M. Wardetzky, Discrete Bonnet pairs and a conformal theory of quad-graphs, in preparation

Springer Proceedings in Mathematics

• T. Hoffmann, M. Kilian, K. Leschke, F. Martin, K. Moriya, editors, Springer Proceedings in Mathematics. In preparation

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, 2019
• 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
• J. Torres (F. Martin), University of Granada
• Z. Ye (T Hoffmann), TU Munich
• E. Mota (M Kilian) Thesis title: "Constant Mean Curvature Surfaces and Heun’s Differential Equations'", 2019, UCC

Undergraduate Research Bursary (LMS)

• Aneesah Parkar (K Leschke) Deformations of the Gyroid

Postdocs and Visiting Researchers

• Benoit Daniel (Nancy, France) - visiting Granada, July 2017
• Tom Ilmanen (ETH, Zurich) - visiting 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
• Burstall, University of Bath, visited UCC in September 2018
• Esko Heinonen Postdoc (fellowship of the Finnish Academy of Science) (UGR) 2019

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 R³", TU Wien, 2018
• K Leschke, "Darboux transforms of minimal surfaces",YDGD, Leeds, 2018
• K Leschke "Isothermic surfaces”,  Key note lectures, Differential Geometry and its discretisation, OCAMI, Osaka 2019
• K Leschke "Transformations of minimal surfaces, Japan-UK winter school, Leeds, January 2019
• F Martin "Scherk-like Translators for Mean Curvature Flow”, Geometric Analysis and Partial Differential Equations seminar, University of Cambridge, U.K May 3, 2019
• F Martin "Scherk-like Translators for Mean Curvature Flow”. Problèmes variationnels et géométrie des sous-variétés, Variational Problems and the Geometry of Submanifolds, 27-31 May, 2019. C.I.R.M., Luminy, France
• F Martin "New examples of translating solitons of the Mean Curvature Flow”.  Geometry Day Granada-Fortaleza, Universidad Federal do Ceara, Fortaleza, Brazil July 24, 2019
• K Leschke “Links between the integrable systems of a CMC surface”, m:iv 2019, Leicester
• T Hoffmann “On discrete geodesics”, m:iv 2019, Leicester
• F Martin “New examples of translating solitons fo the Mean Curvature Flow”, m:iv 2019, Leicester
• M Kilian “Properly embedded minimal annuli in S2xR”, m:iv 2019, Leicester
• K Leschke “Isothermic Positons”,  ISHM 2019: Integrable systems and harmonic maps, Vienna 2019
• M Kilian "On closed finite gap curves", ISHM 2019: Integrable systems and harmonic maps, Vienna 2019