Ben Sharp

Publications and Preprints

Look for my papers on the Arxiv

Compactness analysis for free boundary minimal hypersurfaces. Joint with Lucas Ambrozio and Alessandro Carlotto 2017
A note on the index of closed minimal hypersurfaces of flat tori. Joint with Lucas Ambrozio and Alessandro Carlotto 2017 Accepted in Proc. Amer. Math. Soc.
Index estimates for free boundary minimal hypersurfaces. Joint with Lucas Ambrozio and Alessandro Carlotto 2016 Accepted in Math. Annalen.
Comparing the Morse index and the first Betti number of minimal hypersurfaces. Joint with Lucas Ambrozio and Alessandro Carlotto 2016 Accepted in J. Diff. Geom.
Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area. Joint with Reto Buzano 2015. Accepted in Trans. Amer. Math. Soc.
Compactness of the space of minimal hypersurfaces with bounded volume and p-th Jacobi eigenvalue. Joint with Lucas Ambrozio and Alessandro Carlotto J. Geom. Anal. (2015). doi:10.1007/s12220-015-9640-4
Smooth compactness of f-minimal hypersurfaces with bounded f-index. Joint with Ezequiel Barbosa and Yong Wei 2015. Accepted in Proc. Amer. Math. Soc.
Compactness of minimal hypersurfaces with bounded index. 2015 Accepted in J. Diff. Geom.
Global estimates and energy identities for elliptic systems with antisymmetric potentials. Joint with Tobias Lamm Comm. PDE 41 (2016), 579-608.
Regularity at the free boundary for Dirac-harmonic maps from surfaces. Joint with Miaomiao Zhu Calc. Var. (2016) 55: 27. doi:10.1007/s00526-016-0960-4
Critical ∂̄ problems in one complex dimension and some remarks on conformally invariant variational problems in two real dimensions. Adv. Calc. Var. 7 (2013) No. 3, 353--378
Higher integrability for solutions to a system of critical elliptic PDE. Methods. Appl. Anal., 21 (2014) No. 2, 221--240
Decay Estimates for Rivière's equation with applications to regularity and compactness. Trans. Amer. Math. Soc., 365(5):2317--2339, 2013 Joint with Peter Topping
Compensation Phenomena in Geometric Partial Differential Equations. Ph.D Thesis 2012

Talks and academic visits

Workshop on Minimal Surfaces, University of Granada. January 9 - 12 2018
Minisymposium on Nonlinear PDE in Analysis and Geometry, joint meeting of the German and Austrian mathematical society, University of Salzburg. September 11 - 15 2017
Oberwolfach Workshop: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics. August 6 - 12 2017
Oberwolfach Workshop: Partial Differential Equations. July 30 - August 5 2017
LMS workshop "Variational Methods in Submanifold Theory", University of York. May 30 - June 2 2017
Geometry, in honour of Mario Micallef's 60th birthday, University of Warwick. May 8 - 10 2017
Oxbridge PDE conference, Oxford university. March 20 - 21 2017
Geometry and Analysis seminar, Queen Mary University. February 7 2017
Geometric PDE workshop, University of Warwick. December 12 - 16 2016
KCL/UCL Geometry Seminar, Kings College London. November 16 2016
Lecture series at Korea Institute for Advanced Study, "Geometric and Analytic aspects of Minimal Varieties". October 31 - November 4 2016
Yorkshire Durham Geometry day, York University. October 26 2016
Perspectives in Geometric Analysis - Joint event of ANU-BICMR-PIMS-UW, Beijing and Xi'an. 26 June - 7 July 2016
PDE CDT lunchtime seminar, University of Oxford. June 16 2016 and academic visit June 13 - 17 2016
ETH Zürich, FIM academic visit. May 15 - 28 2016
British Mathematical Colloquium (Bristol), Analysis Workshop. March 21 - 24 2016
Karlsruhe Institute of Technology. March 7 - 13 2016
Young Geometric Analysts' Forum 2016, Tsinghua Sanya International Mathematics Forum (TSIMF). January 18 - 22 2016
Queen Mary University, London. Geometric Flows, their applications, and related topics. January 5 - 8 2016
Oberwolfach Workshop: Partial Differential Equations. August 2 - 8 2015
Joint AMS-SPM Geometric Analysis Special Session, Porto. June 12 - 13 2015
Topics in Geometric Analysis seminar, Berlin. May 7th 2015
Banff International Research Station, Geometric Flows: Recent Developments and Applications. April 12 - 17 2015
Geometry and Analysis seminar, Imperial College London. March 12th 2015
Geometric Analysis and PDE seminar, Cambridge University. January 19th 2015
Geometry and Analysis seminar, Queen Mary University. January 13th 2015
Differential Geometry seminar, Münster. December 8 2014
Geometry seminar, University of Leeds. November 19 2014
Karlsruhe Institute of Technology. Seminar on Geometric Analysis October 14 2014 and academic visit October 6 - 17 2014
Oberwolfach Workshop: Analysis, Geometry and Topology of Positive Scalar Curvature Metrics. August 3 - 9 2014
Analysis seminar, University of Warwick. June 12th 2014
Max Planck Institute for Mathematics in the Sciences, Leipzig. May 22 2014 and academic visit May 19 - 23 2014
Junior Geometry Seminar, Imperial College London. May 14th 2014
Pure Mathematics seminar, Leicester University. March 4 2014
Banff International Research Station, Workshop on Geometric Variational Problems. December 15 - 20 2013
Junior WIC Geometric Analysis seminar, University of Warwick. December 10th 2013
Oberwolfach Mini-Workshop: The Willmore Functional and the Willmore Conjecture. July 21 - 26 2013
Karlsruhe Institute of Technology. July 15 - 19 2013
Kings College London, Geometry Seminar. June 6 2013
ETH Zürich, Analysis seminar. May 7 2013 and academic visit May 6 - 24 2013
Max Planck Institute for Mathematics in the Sciences, Leipzig. April 4 2013 and academic visit March 25 - April 19 2013
Karlsruhe Institute of Technology, Seminar on Geometric Analysis. November 20 2012 and academic visit November 19 - 22 2012
Imperial College London, Geometry and Analysis seminar. March 22 2012
Warwick Maths Institute, Analysis Seminar. November 24 2011
South West Regional PDE Winter School, Bristol. 11 February 2011
Warwick postgraduate seminar. 10 March 2010

Ben Sharp: I have recently moved to the University of Leeds

Research Interests

Publications and Preprints

Talks and academic visits

Teaching

Seminars and events I have co-organised