Wei Guo Foo

Temasek Labs, Cryptography Programme

Research Scientist

To send me email, simply go here .

My GPG public key 1 is here .

My GPG public key 2 is here .

How to install SageMath in FreeBSD?

Work History

2021 -- 2023: Research Fellow, Energy Research Institute @ NTU, Nanyang Technological University, Singapore.

2020 -- 2021: Postdoctoral Researcher, Institute of Mathematics, Academia Sinica, Taipei.

2018 -- 2020: Postdoctoral Researcher, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, PRC.

2017 -- 2018: Teaching Assistant, Université Paris-Saclay, Ile-de-France.

Education History

2014 -- 2018: Ph.D. in Mathematics, Université Paris-Saclay, Ile-de-France.

2012 -- 2014: Masters in Mathematics, Ecole Polytechnique, Ile-de-France.

2008 -- 2012: Bachelors of Science, Major in Mathematics (First Class Honours), National University of Singapore.

Computation files

Einstein-Weyl geometries (Joint work with Joël Merker, Mathematica file in pdf, ~16 mb)

Para-CR structures of class C21, model case (Maple file, pdf, ~274 kb)

Example: Equivalence Method, an attempt (Sage, .sagews, ~90 kb)

Publications

[11] Wei-Guo Foo, Chik How Tan, Higher-order root-finding algorithm and its applications, To appear in International Journal of Computer Mathematics.

[10] Rufan Yang, Anshuman Singh, L P Mohasha, Wei-Guo Foo, Hoay Beng Gooi, Dinh Hoa Nguyen, Hung Dinh Nguyen, Dendrite Growth Control in Lithium-ion Batteries using Current Density Ratio and Thermal Effect, 2024 IEEE Power & Energy Society General Meeting (PESGM).

[9] Wei Guo Foo, Julien Heyd, Joel Merker, Normal Forms of second order Ordinary Differential Equations $y_{xx}=J(x,y,y_{x})$ under Fibre-Preserving Map. Accepted in Complex Analysis and Synergies.

[8] Zhangchi Chen, Wei Guo Foo, Joël Merker, The-Anh Ta; Lie-Cartan Differential Invariants and Poincaré-Moser Normal Forms: Confluences. Accepted in Bulletin of Academia Sinica Institute of Mathematics.

[7] Wei Guo Foo, Rufan Yang, Franz-Erich Wolter, Hung Dinh Nguyen; Virtual Sensor of Li-ion Batteries in Electric Vehicles using Data-driven Analytic Thermal Solutions. Accepted in IEEE Transactions on Industrial Electronics.

[6] Wei Guo Foo, Joël Merker, The-Anh Ta; On Convergent Poincaré-Moser Reduction for Levi Degenerate Embedded 5-Dimensional CR Manifolds. New York Journal of Mathematics, 2022, Volume 28, Pages 250--336

[5] Wei Guo Foo, Joël Merker; Differential {e}-structures for equivalence of 2-nondegenerate Levi rank 1 hypersurfaces M^5\subset\mathbb{C}^3. ArXiv preprint 1901.02028 (To appear in Constructive Mathematical Analysis).

[4] Wei Guo Foo, Joël Merker, The-Anh Ta; Rigid equivalences of 5-dimensional 2-nondegenerate rigid real hypersurfaces M^5\subset\mathbb{C}^3 of constant Levi rank 1. Arxiv preprint 1904.02562. Accepted by Michigan Mathematical Journal.

[3] Wei Guo Foo, Joël Merker; Holomorphic immersion of bi-disks into 9 dimensional real hypersurface of Levi signature (2,2). Arxiv preprint 1908.08305. To appear in IMRN.

[2] Zhangchi Chen, Wei Guo Foo, Joël Merker, The-Anh Ta; Normal forms for Rigid C2,1 hypersurfaces M^5\subset\mathbb{C}^3. arXiv:1912.01655. To appear in Taiwanese Journal of Mathematics

[1] Wei-Guo Foo, Joël Merker, The-Anh Ta; Parametric CR-umbilical Locus of Ellipsoids in \mathbb{C}^2, Comptes Rendus Mathematique, Volume 356, Issue 2, February 2018, Pages 214-221

Preprints

[7] Wei Guo Foo, Chik How Tan. Higher Order Root Finding Methods and Applications.

[6] Chik How Tan, Theo Fanuela Prabowo, Wei Guo Foo. Ratio Attack on G+G Convoluted Gaussian Signature.

[5] Wei Guo Foo; Explicit Lie algebra isomorphisms between Lie symmetries of Tube over Future Light Cone, sp(4,R) and so(3,2).

[4] Wei Guo Foo, Joel Merker; Free Para-CR Lie Algebras. (Working Paper).

[3] Wei Guo Foo, Joël Merker, Paweł Nurowski, The-Anh Ta; Homogeneous C21 models. ArXiv preprint 2104.09608 (Submitted)

[2] Wei Guo Foo, Joël Merker, Samuel Pocchiola; Absolute Paralellism of 5-dimensional CR manifolds of type III2. Working paper.

[1] Wei Guo Foo, Joël Merker, The-Anh Ta; Nonvanishing of Cartan CR curvature on boundaries of Grauert tubes around hyperbolic surfaces. Arxiv preprint 1904.10203.

Talks given

[9] Academia Sinica - National Center for Theoretical Sciences (AS-NCTS) Post-doctoral Seminar, 24 March 2021

[8] Academia Sinica Seminar, 15 January 2021: Equivalence problem of 5-dimensional real hypersurfaces of type C2,1

[7] Seminar semiklassische Analysis und Darstellungstheorie, 7 September 2020: Equivalence problem of 5-dimensional real hypersurfaces of type C2,1

[6] NUS Topology and Geometry Seminar, 25 September 2019: 5 dimensional real hypersurfaces of Levi rank 1, the uniformly degenerate case.

[5] Several Complex Variables seminar, Beijing Normal University, Beijing, 7 June 2019: Cartan’s equivalence method in CR geometry.

[4] Several Complex Variables seminar, AMSS, Chinese Academy of Sciences, 22 March 2019: Equivalence problem of 2-nondegenerate Levi rank 1 hypersurfaces M5\in C3 .

[3] Tsinghua University Topology and Geometry Seminar, 25 December 2018: Effective aspects of the Hachtroudi-Chern-Moser tensors.

[2] NUS Topology and Geometry Seminar, 15 August 2018: Application of Cartan’s equivalence method to CR geometry.

[1] Groupe de Travail Opérateur de Dirac, 10 May 2017: Explicit calculation of Siu’s Effective Termination in Kohn’s Algorithm for Special Domains in C3 .