People A-Z

Research Interests

*** For updated information, please check my website at kaibohu.github.io . ***

I work on numerical analysis and PDEs, in particular, structure-preserving methods and finite element exterior calculus.

The vision of my current research includes:

1) connections between homological algebra, geometry, and mathematical and numerical analysis; geometric foundations of continuum mechanics,

2) discretizations of PDEs and discrete theories (discrete geometry, discrete mechanics etc.),

3) structure-preserving approaches for solving the Einstein equations in general relativity, with potential applications in computational astronomy and gravitational-wave sciences,

4) finite element methods (high order methods, preconditioning etc.) and applications (fluid and solid mechanics, magnetohydrodynamics etc.),

5) scientific computing, computation of spectrum, localization.

Research Groups

• Applied and Computational Mathematics

Recent Conference and Workshop Involvement

- October 2023, Mathematics Seminar at the University of Dundee, UK. (upcoming)

- May 2024, Banff International Research Station (BIRS) “Homological Perspective on Splines and Finite Elements” workshop, University of British Columbia Okanagan (UBCO), Canada. (upcoming)

- September 2023, seminar at the Chinese University of Hong Kong (Shenzhen), China.

- August 2023, seminar at Shanghai University of Finance and Economics, China.

- August 2023, seminar at Shanghai Jiao Tong University, China.

- August 2023, ICIAM, co-organiser of MS "Finite element complexes and multivariate splines" with Nelly Villamizar. Tokyo, Japan.

- August 2023, seminar at University of Science and Technology of China (USTC), Hefei, China.

- August 2023, The 2023 International Workshop on Scientific Computing, Feng Kang Youth Forum on Scientific Computing (FKYF), The Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences, Beijing, China.

- July 2023, PKU Mathematics Forum, Beijing, China.

- July 2023, Structure preserving numerical methods for partial differential equations, Bernoulli Center, EPFL, Switzerland.

- 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.

- April 27, 2023. With Davide Spriano, I was co-organising a Maths Afternoon at Christ Church, University of Oxford.

- February 2023, SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands.

- February 2023, Computational Mathematics and Applications Seminar, Oxford, UK.

- February 2023, Imperial–UCL Numerics Seminar, London, UK.

- February 2023, Topological Data Analysis group meeting, Oxford, UK.

- January 2023, visit Queen Mary University London, UK.

- December 2022, visit and seminar talk at TU Delft, Netherlands.

- December 2022, Gravity Seminar Series of STAG (gravity/string theory/mathematical physics group) of Mathematical Sciences, University of Southampton, UK.

- December 2022, The 8th Workshop for Young Researchers in Scientific Computing, Chinese Academy of Sciences, China (online).

- November 2022, online seminar at Chinese Academy of Sciences, China.

- October-November 2022, visit TU Wien, Austria.

- October 2022, seminar at University of Hong Kong, China.

- September 2022, 56th Meeting of the Society for Natural Philosophy: Mechanics and Analysis, Pisa, Italy. (round-table talk)

- September 2022, INdAM Meeting "Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology", Palazzone di Cortona, Italy.

- July 2022, SciCADE International Conference on Scientific Computation and Differential Equations in Reykjavik, Iceland.

- July 2022, Christ Church Scientific Afternoon, Oxford, UK.

- June 2022, 30 years of Acta Numerica conference at the Banach Centre in Bedlewo, Poland.

- June 2022, MFO workshop "Hilbert Complexes: Analysis, Applications, and Discretizations", Oberwolfach, Germany.

- June 2022, Canadian Applied and Industrial Mathematics Society annual meeting, UBC Okanagan Canada. (online)

- June 2022, European Finite Element Fair, Aalto University, Finland.

- April 2022, Culham Centre for Fusion Energy, UK.

- March 2022, Heidelberg University, Germany.

- December 2021, Los Alamos National Lab, USA (online seminar talk).

- December 2021, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China (online seminar talk).

- September 2021, European finite element fair, Paris, France. (online talk)

Biographical Statement

I obtained my PhD at Peking University in 2017. I had postdoctoral positions at the University of Oslo (2017-2018) and the University of Minnesota (2018-2020) before moving to University of Oxford as a Hooke Research Fellow in 2021. In Oxford, I was affiliated with Mathematical Institute and Christ Church. I am currently a Royal Society University Research Fellow (Oxford 2022-2023, Edinburgh 2023-present).

Publications

• Personal webpage with publications