Kaibo Hu
I am a Royal Society University Research Fellow based at the School of Mathematics, University of Edinburgh, and Maxwell Institute.
I work on numerical partial differential equations and structure-preserving/compatible discretizations. In particular, most of my current work is on finite element exterior calculus (FEEC). I view numerical analysis as a connection between continuous and discrete. Thus, I am interested in its interactions with neighbouring areas, such as discrete geometry and topology, homological algebra, and geometric mechanics, and applications in scientific problems, such as continuum mechanics, numerical relativity and geometric PDEs.
I obtained my PhD at Peking University in 2017. I had postdoctoral positions at the University of Oslo (2017-2018) and University of Minnesota (2018-2020) before moving to University of Oxford (Mathematical Institute & Christ Church) as a Hooke Research Fellow in 2021, and later as a Royal Society University Research Fellow.
With Julian Braun (Heriot-Watt), I am co-organizing the Applied and Computational Mathematics (ACM) Seminars joint between UoE and HW at the Maxwell Institute.
The ERC Starting Project “Geometric Finite Element Methods (GeoFEM)” will fund multiple postdoctoral and PhD positions.
GeoFEM investigates finite element discretisation of geometric objects with applications to numerical relativity and continuum mechanics. The project also develops a finite element perspective for discrete differential geometry and discrete physics on triangulation and graphs. The positions will be available from January 2025.
Candidates for the postdoc positions are expected to have backgrounds in finite element methods. An in-depth knowledge of structure-preserving/compatible discretisation and Finite Element Exterior Calculus will be an advantage. Candidates with backgrounds with one or some of the following topics are also strongly encouraged to apply: graph and network theories, discrete differential geometry and topology, numerical relativity, geometric (continuum) mechanics, high-performance computing, computer graphics, representation theory and Cartan geometry (particularly the Bernstein-Gelfand-Gelfand sequences), PDE theories.
Candidates for PhD positions are expected to have a strong motivation to investigate one or more of the above areas.
The positions will be based at the University of Edinburgh. With the Maxwell Institute (joint between the University of Edinburgh and Heriot-Watt University), ICMS, the Higgs Centre for Theoretical Physics, and School of Informatics, Edinburgh provides a thrilling environment for investigating topics at the interface of computational mathematics and sciences.
For postdoc positions, apply here. For PhD positions, apply here.
Contact for expressions of interest:
Dr. Kaibo Hu (kaibo.hu@ed.ac.uk)
GeoFEM investigates finite element discretisation of geometric objects with applications to numerical relativity and continuum mechanics. The project also develops a finite element perspective for discrete differential geometry and discrete physics on triangulation and graphs. The positions will be available from January 2025.
Candidates for the postdoc positions are expected to have backgrounds in finite element methods. An in-depth knowledge of structure-preserving/compatible discretisation and Finite Element Exterior Calculus will be an advantage. Candidates with backgrounds with one or some of the following topics are also strongly encouraged to apply: graph and network theories, discrete differential geometry and topology, numerical relativity, geometric (continuum) mechanics, high-performance computing, computer graphics, representation theory and Cartan geometry (particularly the Bernstein-Gelfand-Gelfand sequences), PDE theories.
Candidates for PhD positions are expected to have a strong motivation to investigate one or more of the above areas.
The positions will be based at the University of Edinburgh. With the Maxwell Institute (joint between the University of Edinburgh and Heriot-Watt University), ICMS, the Higgs Centre for Theoretical Physics, and School of Informatics, Edinburgh provides a thrilling environment for investigating topics at the interface of computational mathematics and sciences.
For postdoc positions, apply here. For PhD positions, apply here.
Contact for expressions of interest:
Dr. Kaibo Hu (kaibo.hu@ed.ac.uk)
news
| Sep 2025 | I will co-organize (with Anil Hirani and Kaushik Kalyanaraman) and participate in the IMSI Workshop ‘‘Discrete Exterior Calculus: Differential Geometry and Applications’’, Chicago, USA. (upcoming) |
| Jun 2025 | I am co-organizing the China-India-UK School in Mathematical Physics: a Mathematics for Humanity workshop at ICMS, Edinburgh, UK. (upcoming) |
| May 2025 | I will visit Hong Kong Polytechnic University and deliver talks, hosted by Buyang Li. (upcoming) |
| Mar 2025 | BIRS workshop “Geometric mechanics formulations for continuum mechanics”, Banff, Canada. (upcoming) |
| Mar 2025 | Lectures for Spotlights in Computational Physics and Engineering (SCoPE), University of Luxembourg. (upcoming) |
| Mar 2025 | Talk at SIAM CSE conference, minisymposium ‘‘DEC/FEEC: Discrete and Finite Element Exterior Calculus’’, organized by James P. Fairbanks and Ari Stern, Texas, USA. (upcoming) |
| Jan 2025 | “Advanced Solvers for Frequency-Domain Wave Problems and Applications” workshop at the Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China. (upcoming) |
| Jan 2025 | “New and old problems in Numerical Relativity” workshop at the Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China. (upcoming) |
| Nov 2024 | Together with Lehel Banjai, Manolis Georgoulis and John Pearson, I am co-organising a ``finite element software’’ Deep Dive event for the Mac-Migs PhD Programme. (upcoming) |
| Nov 2024 | I will host Daniel Førland Holmen’s research visit from University of Bergen. |
| Nov 2024 | AGATE (Applied Geometry, Algebra, and Topology in Edinburgh) Seminar talk. |
| Nov 2024 | Talk at Analysis and PDE Seminar, Durham University. |
| Oct 2024 | I will host visits by Pablo Brubeck, Ting Lin, and Charles Parker. |
| Oct 2024 | Seminar talk at ISAE-SUPAERO, Toulouse, France. |
| Sep 2024 | Congratulations to Marien Hanot on starting a Maître de conférences position at Laboratoire Paul Painlevé, Université de Lille! |
| Sep 2024 | Visit Institut Montpelliérain Alexander Grothendieck (IMAG, Université de Montpellier) hosted by Daniele Di Pietro and Jérôme Droniou and talk at Seminar ACSIOM. |
| Sep 2024 | The project GeoFEM (Geometric Finite Element Methods) is funded by an ERC Starting Grant. GeoFEM investigates the interactions between finite elements, geometric PDEs, discrete differential geometry and discrete physics. |
| Aug 2024 | Seminar talks and visits at Beijing Institute of Mathematical Sciences and Applications (BIMSA), Institute of Computational Mathematics and Scientific/Engineering Computing at Chinese Academy of Sciences, and Nankai University. |
| Aug 2024 | I will host Andreas Čap’s visit at the University of Edinburgh. |
| Jul 2024 | Talk at the minisymposium ‘‘Structure-preserving discretization of multiphysics systems’’, organized by Andrea Brugnoli and Peter Betsch at the 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, Vancouver, Canada. |
| Jul 2024 | Talk at the minisymposium ‘‘Numerical Methods for Geometric PDEs’’, organized by Alan Demlow, Evan Gawlik and Shawn Walker at The 2024 SIAM Annual Meeting, Spokane, Washington, US. |
| Jun 2024 | Snorre Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan, Qian Zhang and I will Research-in-Groups in Edinburgh, supported by ICMS. |
| Jun 2024 | I hosted Jinchao Xu’s visit at the University of Edinburgh. |
| Jun 2024 | European Finite Element Fair, London, UK. |
| Jun 2024 | Keynote lecture at the NEMESIS project kick-off workshop, Montpellier, France. |
| Jun 2024 | I will host the visit of Douglas Arnold, Carme Calderer, Richard Falk and Ragnar Winther at the University of Edinburgh. |
| May 2024 | Banff International Research Station (BIRS) “Homological Perspective on Splines and Finite Elements” workshop, University of British Columbia Okanagan (UBCO), Canada. |
| May 2024 | I hosted Buyang Li’s visit at the University of Edinburgh. |
| Apr 2024 | Zurich colloquium in applied and computational mathematics and research visit at ETH Zürich, Switzerland. |
| Apr 2024 | Opening Conference of the CNRS Occitan Research Federation in Mathematics (OcciMath), LAMPS (Laboratory of Multidisciplinary Modeling and Simulations), University of Perpignan Via Domitia, France. |
| Mar 2024 | ICERM program: Numerical PDEs: Analysis, Algorithms, and Data Challenges, Providence, USA. |
| Feb 2024 | Research visit at the University of Oxford. |
| Feb 2024 | The 18th UK Applied Algebra and Geometry network meeting, Swansea University, UK. |
| Feb 2024 | Applied and Computational Analysis seminar at DAMTP, University of Cambridge. |
| Jan 2024 | With Milena Hering, I hosted Frank Sottile’s visit at the University of Edinburgh. |
| Jan 2024 | Welcome to Marien Hanot, who joined Edinburgh as a postdoctoral fellow. |
| Nov 2023 | I will visit TU Wien and University of Vienna during November-December 2023, and University of Oslo in January 2024. |
| Nov 2023 | Seminar talk at Maxwell Institute, Edinburgh. |
| Oct 2023 | Talk at Workshop: Theory and Numerics on Some Nonlinear PDEs; University of Oslo / online. |
| Oct 2023 | Mathematics Seminar at the University of Dundee, UK. |
| Sep 2023 | Seminar at Shanghai Jiao Tong University, China. |
| Sep 2023 | Seminar at Shanghai University of Finance and Economics, China. |
| Sep 2023 | Seminar at the Chinese University of Hong Kong (Shenzhen), China. |
| Aug 2023 | The 2023 International Workshop on Scientific Computing, Feng Kang Youth Forum on Scientific Computing (FKYF, 冯康科学计算青年论坛), The Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences, Beijing, China. |
| Aug 2023 | Seminar at University of Science and Technology of China (USTC), Hefei, China. |
| Aug 2023 | ICIAM, co-organiser of MS “Finite element complexes and multivariate splines” with Nelly Villamizar. Tokyo, Japan. |
| Aug 2023 | PKU Mathematics Forum (北大数学校友论坛), Beijing, China. |
| Jul 2023 | Structure preserving numerical methods for partial differential equations, Bernoulli Center, EPFL, Switzerland. |
| Jun 2023 | June 2023, the 29th Biennial Numerical Analysis Conference, University of Strathclyde, Glasgow, UK. Co-organiser of MS “Structure-preserving discretization of Hilbert complexes” with Deepesh Toshniwal. |
| Apr 2023 | With Davide Spriano, I was co-organising a Maths Afternoon at Christ Church. |
| Feb 2023 | SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands. |
| Feb 2023 | Topological Data Analysis group meeting, Oxford, UK. |
| Feb 2023 | Imperial–UCL Numerics Seminar, London, UK. |
| Feb 2023 | Computational Mathematics and Applications Seminar, Oxford, UK. |
| Jan 2023 | visit Queen Mary University London, UK. |
| Dec 2022 | The 8th Workshop for Young Researchers in Scientific Computing, Chinese Academy of Sciences, China (online). |
| Dec 2022 | Gravity Seminar Series of STAG (gravity/string theory/mathematical physics group) of Mathematical Sciences, University of Southampton, UK. |
| Dec 2022 | visit and seminar talk at TU Delft, Netherlands. |
| Nov 2022 | online seminar at Chinese Academy of Sciences, China. |
| Oct 2022 | seminar at University of Hong Kong, China. |
| Oct 2022 | I will visit TU Wien, Austria, during October-November 2022. |
| Sep 2022 | INdAM Meeting “Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology”, Palazzone di Cortona, Italy. |
| Sep 2022 | 56th Meeting of the Society for Natural Philosophy: Mechanics and Analysis, Pisa, Italy. (round-table talk) |
| Jul 2022 | Christ Church Scientific Afternoon, Oxford, UK. |
| Jul 2022 | SciCADE International Conference on Scientific Computation and Differential Equations in Reykjavik, Iceland. |
| Jun 2022 | European Finite Element Fair, Aalto University, Finland. |
| Jun 2022 | Canadian Applied and Industrial Mathematics Society annual meeting, UBC Okanagan Canada. (online) |
| Jun 2022 | MFO workshop “Hilbert Complexes: Analysis, Applications, and Discretizations”, Oberwolfach, Germany. |
| Jun 2022 | 30 years of Acta Numerica conference at the Banach Centre in Będlewo, Poland. |
| Apr 2022 | Culham Centre for Fusion Energy, UK. |
| Mar 2022 | visit and seminar at Heidelberg University, Germany. |
| Dec 2021 | Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China (online seminar talk). |
| Dec 2021 | Los Alamos National Lab, USA (online seminar talk). |
| Sep 2021 | European finite element fair, Paris, France. (online talk) |