Jason D. Lotay

Jason D. Lotay
Professor of Pure Mathematics
University of Oxford
Fellow at Balliol College




Latest info

Oxford   As of January 2019, I am a Professor of Pure Mathematics at the University of Oxford and Tutorial Fellow at Balliol College.

El País My article (in Spanish) entitled "Por qué estudio la séptima dimensión" has been published in the Café y Teoremas section of El País in November 2018.

Brussels-London Geometry Seminar   The next meeting will be on Tuesday 19 February at UCL (London) with a theme of Conformal Geometry. The speakers will be Gilles Carron, Giovanni Catino and Yuxin Ge. The last meeting was on Monday 26 November 2018 at ULB (Brussels) with a theme of Geometric Analysis on Metric Spaces. Details about the seminar are available at the seminar webpage.

LSGNT   I was the Co-Director of First Year for the London School for Geometry and Number Theory for PhD students, for the academic year 2017-18 and Term 1 in 2018-19. UCL is leading this EPSRC Centre for Doctoral Training, in collaboration with King's and Imperial.

Simons Collaboration   I co-organised a meeting on Geometric Flows and Special Holonomy on 4--8 June 2018 at Imperial College, and Construction of Exceptional Holonomy Spaces: Past, Present and Future on 5--9 June 2017, also at Imperial College. This forms part of the activity of the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics.

Public policy  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 and you can hear me discussing some of my experience on the scheme and my other interactions with parliament in a UCL Public Policy podcast. You can also read a policy briefing, Maths Matters, which I devised in 2013 to try to explain the value of maths research to policy makers.

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.

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 gave 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!

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.

Current group   Postdocs: Ben Lambert and Kim Moore. PhD Students: Benjamin Aslan, Francesco Di Giovanni, Chris Evans, Udhav Fowdar, Fabian Lehmann, Daniel Platt and Celso Viana.

About me

Short history   I am a Professor of Pure Mathematics at the University of Oxford and Tutorial Fellow at Balliol College (as of January 2019). I was previously at UCL, where I was a Professor of Mathematics. 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 Brussels-London Geometry Seminar and the London Geometric Analysis Reading Seminar. I set-up and was a co-organiser of the joint KCL/UCL Geometry Seminar, 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. 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 at Oxford on the group webpage.