Jason D. Lotay

Jason D. Lotay
Reader in Mathematics
University College London




Latest info

Brussels-London Geometry Seminar   The next meeting will be on Tuesday 28 November 2017 at ULB (Brussels) with a theme of Asymptotic Geometry of Riemannian Manifolds. The speakers are Olivier Biquard, Anda Degeratu and Michael Eichmair. Details are available at the seminar webpage, where you can also find information about past events.

LSGNT   I am the Co-Director of First Year for the London School for Geometry and Number Theory for PhD students, as of the academic year 2017-18. UCL is leading this EPSRC Centre for Doctoral Training, in collaboration with King's and Imperial.

Fields Institute   As part of the Fields Institute thematic program on Geometric Analysis, I co-organised a Minischool and Workshop on G2 Manifolds and Related Topics on 19--25 August 2017.

Physics World   My feature article entitled "The geometry of our world" has appeared in the April 2017 edition of Physics World, which you can access by going to physicsworld.com. You can also download the article by visiting my publications page.

Simons Collaboration   I co-organised a meeting on Construction of Exceptional Holonomy Spaces: Past, Present and Future on 5--9 June 2017 at Imperial College. This forms part of the activity of the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics.

Adventures in the 7th Dimension   I spoke in the popular Lunch Hour Lectures for the general public at UCL on 2 March 2017, and the talk is now available to view on the YouTube channel. I was also one of the invited speakers at this year's British Science Festival in Swansea talking about the 7th dimension on 6 September 2016. I was interviewed about my talk on Science Cafe on BBC Radio Wales. I will be giving a related talk as part of the LMS Popular Lectures in London on 28 June 2017 and in Birmingham on 20 September 2017, and at the Fields Institute (Toronto) on 21 August 2017.

Leverhulme   I have been awarded a Leverhulme Research Project grant with my colleague Felix Schulze at UCL. We have hired a 3-year postdoc (Ben Lambert) and have chosen Chris Evans (UCL) as a PhD student in geometric analysis.

UK-Japan Winter School   I co-organised the 18th UK-Japan Winter School in Mathematics on Singularities, Symmetries and Submanifolds on 4-7 January 2017 at UCL, which was partially funded by the LMS. This brought together researchers in symplectic geometry, mirror symmetry, calibrated submanifolds and geometric analysis. There were three minicourses suitable for graduate students as well as poster sessions for PhD students and research talks. The minicourse speakers were Dominic Joyce, Ailsa Keating and Kazushi Ueda and research speakers included Simon Donaldson and Kauru Ono.

Unwrapping our Modern World  I ran this workshop with artist Lilah Fowler as part of a Maths Arts and Crafts Day for teachers on 25 June 2016 at UCL. In this interactive event, we gave a fresh perspective on the modern world by "unwrapping" through ideas from art and mathematics. We explored a wide range of topics from the mundane like cardboard boxes and maps, to the internet, bitcoin, the shape of the universe and DNA. This built on a previous workshop for the general public.

Take your brain to another dimension   I was delighted to take part in the inaugural MAPS PhesDival at UCL, celebrating research in Maths and Physical Sciences, on 15 June 2016. I took the opportunity to explain my research with a few jokes and some dance moves!

Royal Society Pairing Scheme  I took part in a scheme run by the Royal Society which pairs scientists with MPs and civil servants, including a week spent by the scientists in Westminster which was fantastic. There is a case study of my experience on the Royal Society website.

Geometric Analysis Reading Seminar   I am co-organising an informal seminar for geometers and analysts, where we discuss and learn about various topics in Geometric Analysis. Information is available on the seminar website.

Research summary

What I do   I work on differential geometry, particularly geometry related with special holonomy and calibrated submanifolds, geometric flows including Lagrangian mean curvature flow and the G2-Laplacian flow, as well as instantons. For further details, and if you are interested in pursuing PhD studies with me, see my research page.

Why anyone cares   The geometries I study are important from the viewpoint of Einstein metrics and gauge theory, and are related to minimal submanifolds and algebraic geometry. In this setting, there are striking interactions expected between the ambient manifold geometry and topology, the calibrated submanifold geometry and instantons. Moreover, the objects I investigate are of potential importance in high-energy theoretical physics.

About me

Short history   I am a Reader in Mathematics at University College London. I was an EPSRC Career Acceleration Fellow and, before joining UCL, a member of the Geometry group at Imperial College, London. I spent the academic year 07-08 at MSRI, Berkeley, working with Robert Bryant. My DPhil supervisor at Oxford was Dominic Joyce. For further details see my about page.

Organisation   I am a co-organiser of the joint KCL/UCL Geometry Seminar and Brussels-London Geometry Seminar. I co-organised the workshops G 2 Days 2014 at UCL and G 2 Days 2012 at King's and UCL, with support from EPSRC grants. I co-organised a Differential Geometry workshop on 31 March - 1 April 2015 at the BMC-BAMC in Cambridge, as part of the Brussels-London Geometry seminar. I also co-organised an LMS-CMI Research School in summer 2014 (where I was also gave a lecture course) and UCL Geometry and Topology Days in 2013 which were supported by LMS conference grants. I have also organised Geometry and Topology Open Days at UCL for prospective PhD students.

Keep informed   Follow me on Twitter @jdlotay and find out more about geometry and topology at UCL on the group webpage and the UCL Geometry and Topology Group blog.