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Welcome!

Welcome to Xia's research group of Mathematical AI for Molecular Sciences at the School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Singapore!

Our group focuses on Mathematical AI for Molecular Sciences. We use computational tools from PDE, differential geometry, algebraic topology and statistical learning to study the material, chemical and biomolecular structure, flexibility, dynamics, and functions. In particular, we are interested in topological data analysis (TDA), geometric data analysis (GDA), TDA/GDA-based machine learning, geometric/topological deep learning models, and their applications in perovskite design, catalyst design, polymer design, drug design, biomolecular interaction analysis, chromosome structure analysis, and more generally molecular data analysis from materials, chemistry, and biology.

A brief introduction of the area can be found in TDA winter school lectures(2021), AATRN talk(2021), Swarma Club "Math for AI & AI for math"(2023), Science@NTU report "Using AI to Understand and Design Molecules"(2024), Swarma ClubGeometric deep learning"(2024), INI talk "Mathematical AI for Molecular Sciences"(2024), IAS talk "Math for AI: Can Mathematics provide a Solid Foundation for AI?"(2024)
We sincerely welcome highly motivated students and postdocs to join our group!

Principal Investigator

Kelin_Xia
Kelin Xia (Google Scholar Profile; ORCID;Reseacher ID; CV)

Associate Professor,
School of Physical and Mathematical Sciences,
Nanyang Technological University

SPMS-MAS-05-18, 21 Nanyang Link, Singapore 637371
Phone:  +65 6513-7464
Email: xiakelinATntu.edu.sg



Research Interests
Journal Editorship
Scientific Committee​
Grants and Research Funds

 (After joining NTU)
  • Co-PI, MOE AcFR Tier 2, "Topology-enhanced physical models for biopolymer structure and interaction analysis", 2024-2027
  • PI, MOE AcFR Tier 1, "Synergistic integration of topology and stochastic differential equation-based diffusion model (SDE-DM) for materials informatics", 2023-2025
  • Co-PI, MOE AcFR Tier 2, “Machine-learning-assisted topological and geometrical data analysis of extreme events in complex systems”, 2023-2026
  • PI, SPMS Collaborative Research Award, "Geometric data analysis (GDA)-based learning models for corrugated 2D perovskites design and discovery", 2023-2024
  • PI, MOE AcFR Tier 2, "Ricci curvature based deep learning models for polymer informatics", 2022-2025
  • Co-PI, NMRC, "Indoor air microbiomes as a gateway to exposome-guided precision medicine for respiratory diseases", 2021-2024
  • PI, MOE AcFR Tier 2, "Hodge Laplacian based deep learning models for drug design", 2021-2024
  • Co-PI, MOE AcFR Tier 1, "Incorporating quantum chemistry descriptors and topological features to study G-quadruplex-stabilizer complexes by machine learning models", 2021-2024
  • PI, MOE AcRF Tier 2, "Topology-based featurization for machine learning models in materials informatics", 2021-2024
  • PI, Alibaba-NTU JRI "Artificial intelligence (AI) based drug design and drug discovery", 2020-2021
  • PI, Merlion Program, "Machine learning models based on weighted-persistent-homology for structure-based drug design", 2020-2022
  • Collaborator, MOE AcRF Tier 1 Thematic Grant, "Improving photocatalysts that recycle microplastics to fuels by artificial intelligence", 2020-2022
  • PI MOE AcRF Tier 1, "Bipartite-graph-based machine learning models for biomolecular interaction analysis", 2020-2022
  • Collaborator, ACE, "Artificial intelligence for the prediction of alternative splicing from epigenomics and transcriptomics data in cancer", 2019-2021
  • PI, NTU/NUS-JSPS, "Elucidation of dynamic opening and closing mechanism of giant protein cage vault", 2019-2021
  • PI, MOE AcRF Tier 2,"Persistent homology based topological approaches for biomolecular data analysis", 2018-2021
  • PI, MOE AcRF Tier 1, "Modeling and analyzing environmental effects and self-assembly mechanism of large-sized biomolecules", 2018-2020
  • PI, MOE AcRF Tier 1, "A unified framework for multiscale geometric modeling of biomolecular complex", 2017-2019
  • Co-PI, ASPIRE League Research Grant, "Functional Design of Protein Cage for Sustainable Bionanomaterial", 2017-2018
  • PI, NTU-SUG, "Geometric and topological modeling of biomolecular structure, dynamics and function", 2016-2021
 (Before joining NTU)
Conference organized
Publication list

84. Yipeng Zhang, Cong Shen, and Kelin Xia. "Multi-Cover Persistence (MCP)-based machine learning for polymer property prediction." Briefings in Bioinformatics 25(6): bbae465 (2024)
83. Chuan-Shen Hu, Rishikanta Mayengbam, Min-Chun Wu, Kelin Xia, and Tze Chien Sum. "Geometric data analysis-based machine learning for two-dimensional perovskite design." Communications Materials 5(1): 106 (2024)
83. Xiang Liu, Huitao Feng, Jie Wu, and Kelin Xia. "Computing hypergraph homology." Foundations of Data Science 6(2): 172-194 (2024)
82. Cong Shen, Pingjian Ding, Junjie Wee, Jialin Bi, Jiawei Luo, and Kelin Xia. "Curvature-enhanced graph convolutional network for biomolecular interaction prediction." Computational and Structural Biotechnology Journal, 23, 1016-1025 (2024)
81. JunJie Wee, Jiahui Chen, Kelin Xia, and Guo-Wei Wei. "Integration of persistent Laplacian and pre-trained transformer for protein solubility changes upon mutation." Computers in Biology and Medicine, 169: 107918 (2024)
80. Siyan Deng, Chao Chen, Ke Li, Xi Chen, Kelin Xia, and Shuzhou Li. "Structure-based multilevel descriptors for high-throughput screening of elastomers." The Journal of Physical Chemistry B, 127(46): 10077-10087 (2023)
79. Cong Shen, Jiawei Luo, and Kelin Xia. "Molecular geometric deep learning." Cell Reports Methods, 3, 100621 (2023) DrugAI Report
78. Bi, Jialin, JunJie Wee, Xiang Liu, Cunquan Qu, Guanghui Wang, and Kelin Xia. "Multiscale topological indices for the quantitative prediction of SARS CoV-2 binding affinity change upon mutations." Journal of Chemical Information and Modeling, 63(13): 4216-4227 (2023)
77. Wee, JunJie, Ginestra Bianconi, and Kelin Xia. "Persistent Dirac for molecular representation." Scientific Report, 13, 11183 (2023)
76. D. Vijay Anand, Ronald Koh Joon Wei, and Kelin Xia. "Coarse-grained models for vault normal model analysis." In Protein Cages: Design, Structure, and Applications, pp. 307-318. New York, NY: Springer US (2023)
75. Hou Yee Choo, JunJie Wee, Cong Shen, and Kelin Xia. "Fingerprint-enhanced graph attention network (FinGAT) model for antibiotic discovery." Journal of Chemical Information and Modeling, 63(10), 2928–2935 (2023) DrugAI Report
74. Peter Tsung-Wen Yen, Kelin Xia, and Siew Ann Cheong. "Laplacian spectra of persistent structures in Taiwan, Singapore, and US stock markets." Entropy, 25 (6): 846 (2023)
73. Kein Xia, Xiang Liu, and JunJie Wee. "Persistent homology for RNA data analysis." In Homology Modeling: Methods and Protocols, 211-229. New York, NY: Springer US (2023)
72. Xiang Liu, Huitao Feng, Zhi Lü, and Kelin Xia. "Persistent Tor-algebra for protein–protein interaction analysis." Briefings in Bioinformatics, 24(2), bbad046 (2023)
71. Jian Liu, Kein Xia, Jie Wu, Stephen Shing-Toung Yau, and Guo-Wei Wei. "Biomolecular topology: modelling and analysis." Acta Mathematica Sinica, English Series 38(10), 1901-1938 (2022)
70. D. Vijay Anand, Qiang Xu, Junjie Wee, Kelin Xia, and Tze Chien Sum, "Topological feature engineering for machine learning based halide perovskite materials design", npj Computational Materials, 8 (203) (2022)  Science@NTU
69. Leong, Yong Xiang, Emily Xi Tan, Shi Xuan Leong, Charlynn Sher Lin Koh, Lam Bang Thanh Nguyen, Jaslyn Ru Ting Chen, Kelin Xia, and Xing Yi Ling, "Where nanosensors meet machine learning: prospects and challenges in detecting disease X", ACS nano, 16 (9), 13279-13293 (2022)
68. Xiang Liu, Huitao Feng, Jie Wu, and Kelin Xia, "Hom-complex-based machine learning (HCML) for the prediction of protein–protein binding affinity changes upon mutation", Journal of Chemical Information and Modeling, 62 (17), 3961-3969 (2022)  ComputArt Report
67. Xiao-Shuang Li, Xiang Liu, Le Lu, Xian-Sheng Hua, Ying Chi, and Kelin Xia. "Multiphysical graph neural network (MP-GNN) for COVID-19 drug design." Briefings in Bioinformatics, bbac231 (2022)   DrugAI Report  Supplementary_information-version
66. Ronald Koh Joon Wei, Junjie Wee, Valerie Evangelin Laurent, and Kelin Xia, "Hodge theory-based biomolecular data analysis", Scientific Report, 12(1), 1-16 (2022)
65. Weikang Gong, JunJie Wee, Min-Chun Wu, Xiaohan Sun, Chunhua Li, and Kelin Xia, "Persistent spectral simplicial complex-based machine learning for chromosomal structural analysis in cellular differentiation", Briefings in Bioinformatics, bbac168 (2022)
64. Jelena Grbic, Jie Wu, Kelin Xia and Guowei Wei, "Aspects of topological approaches for data science." Foundations of Data Science, 4(2), 165 (2022)
63. Xiang Liu, Huitao Feng, Jie Wu, and Kelin Xia, "Dowker complex based machine learning (DCML) models for protein-ligand binding affinity prediction." PLOS Computational Biology, 18(4), e1009943 (2022)
62. Chi Seng Pun, Si Xian Lee, and Kelin Xia, "Persistent-homology-based machine learning: a survey and a comparative study." Artificial Intelligence Review, 55, 5169–5213, (2022)  Data & Codes
61. JunJie Wee and Kelin Xia, "Persistent spectral based ensemble learning (PerSpect-EL) for protein-protein binding affinity prediction." Briefings In Bioinformatics, 23(2), bbac024 (2022)
60. Jiajie Peng, Jinjin Yang, D. Vijay Anand, Xuequn Shang, and Kelin Xia, "Flexibility and rigidity index for chromosome packing, flexibility and dynamics analysis." Frontiers of Computer Science, 16 (4), 1-11 (2022)
59. Peiran Jiang, Ying Chi, Xiao-Shuang Li, Xiang Liu, Xian-Sheng Hua, and Kelin Xia, "Molecular persistent spectral image (Mol-PSI) representation for machine learning models in drug design." Briefings in Bioinformatics, 23 (1), bbab527 (2022)
58. Jinghao Peng, Jiajie Peng, Haiyin Piao, Zhang Luo, Kelin Xia, and Xuequn Shang, "Predicting chromosome flexibility from the genomic sequence based on deep learning neural networks." Current Bioinformatics 16 (10), 1311-1319 (2021)
57. Jayanth Kumar Narayana, Micheál Mac Aogáin, Wilson Wen Bin Goh, Kelin Xia, Krasimira Tsaneva-Atanasova, and Sanjay H. Chotirmall, "Mathematical-based microbiome analytics for clinical translation." Computational and Structural Biotechnology Journal, 19, 6272-6281 (2021)
56. Peter Tsung-Wen Yen, Kelin Xia, and Siew Ann Cheong, "Understanding changes in the topology and geometry of financial market correlations during a market crash." Entropy, 23 (9), 1211 (2021)
55. Zhenyu Meng and Kelin Xia, "Persistent spectral–based machine learning (PerSpect ML) for protein-ligand binding affinity prediction." Science Advances, 7 (19), eabc5329 (2021)
54. JunJie Wee and Kelin Xia, "Forman persistent Ricci curvature (FPRC) based machine learning models for protein–ligand binding affinity prediction." Briefings In Bioinformatics, 22 (6), bbab136 (2021)
53. Xiang Liu, Huitao Feng, Jie Wu, and Kelin Xia, "Persistent spectral hypergraph based machine learning (PSH-ML) for protein-ligand binding affinity prediction." Briefings In Bioinformatics, 22 (5), bbab127 (2021)
52. JunJie Wee and Kelin Xia, "Ollivier persistent Ricci curvature-based machine learning for protein-ligand binding affinity prediction." Journal of Chemical Information and Modeling, 61 (4), 1617-1626 (2021)
51. Duan Chen, Shaoyu Li, Xue Wang, and Kelin Xia, "Fast random algorithms for manifold based optimization in reconstructing 3D chromosomal structures." Communications in Information and Systems, 21 (1), 1-29 (2021)
50. Xiang Liu, Xiangjun Wang, Jie Wu, and Kelin Xia, "Hypergraph based persistent cohomology (HPC) for molecular representations in drug design." Briefings In Bioinformatics, 22 (5), bbaa411 (2021)
49. Jinyin Zha, Yuwei Zhang, Kelin Xia, and Fei Xia, "Coarse-grained simulation of mechanical properties of single microtubules with micrometer length." Frontiers in Molecular Biosciences, 7, 517 (2020)
48. Chi Seng Pun, Brandon Yung Sin Yong, and Kelin Xia, "Weighted-persistent-homology-based machine learning for RNA flexibility analysis." PLOS ONE, 15 (8), e0237747 (2020)
47. Chengyuan Wu, Shiquan Ren, Jie Wu, and Kelin Xia, "Weighted fundamental group." Bulletin of the Malaysian Mathematical Sciences Society43 (6), 4065-4088 (2020)
46. D Vijay Anand, Zhenyu Meng, Kelin Xia, and Yuguang Mu, "Weighted persistent homology for osmolyte molecular aggregation and hydrogen-bonding network analysis." Scientific Report, 10 (1), 1-17 (2020) Data & Codes
45. Chengyuan Wu, Shiquan Ren, Jie Wu, and Kelin Xia, "Discrete Morse theory for weighted simplicial complexes." Topology and its Applications, 270, 107038 (2020)
44. Zhenyu Meng, D Vijay Anand, Yunpeng Lu, Jie Wu, and Kelin Xia, "Weighted persistent homology for biomolecular data analysis." Scientific Report, 10 (1), 1-15 (2020)  Data & Codes
43. Zhenliang Wu, Yuwei Zhang, John Zenghui Zhang, Kelin Xia, and Fei Xia, "Determining optimal coarse-grained representation for biomolecules using internal cluster validation indexes." Journal of Computational Chemistry, 41 (1), 14-20 (2020)
42. Kelin Xia, D Vijay Anand, Shikhar Saxena, and Yuguang Mu, "Persistent homology analysis of osmolyte molecular aggregation and their hydrogen-bonding networks." Physical Chemistry Chemical Physics,  21, 21038-21048 (2019)
41. Chengyuan Wu, Shiquan Ren, Jie Wu, and Kelin Xia, "Magnus representation of genome sequences." Journal of Theoretical Biology, 480 (7), 104-111 (2019)
40. Liangzhen Zheng, Kelin Xia, and Yuguang Mu, "Ligand binding induces agonistic-like conformational adaptations in helix 12 of progesterone receptor ligand binding domain." Frontiers in Chemistry, 7 (315) (2019)
39. Yuwei Zhang, Kelin Xia, Zexing Cao, Frauke Grater, and Fei Xia, "A new method for the construction of coarse-grained models of large biomolecules from low-resolution cryo-electron microscopy data." Physical Chemistry Chemical Physics, 21, 9720-9727 (2019) (PCCP HOT Articles)
38. Manchugondanahalli S. Krishna, Desiree-Faye Kaixin Toh, Zhenyu Meng, Alan Ann Lerk Ong, Zhenzhang Wang, Yunpeng Lu, Kelin Xia, Mookkan Prabakaran, and Gang Chen, "Sequence- and structure-specific probing of RNAs by short nucleobase-modified dsRNA-binding PNAs incorporating a fluorescent light-up uracil analog." Analytical Chemistry, 91 (8), 5331-5338 (2019)
37. Alan Ann Lerk Ong, Desiree-Faye Kaixin Toh, Kiran M. Patil , Zhenyu Meng, Zhen Yuan, Manchugondanahalli S. Krishna, Gitali Devi, Phensinee Haruehanroengra, Yunpeng Lu, Kelin Xia, Katsutomo Okamura, Jia Sheng, and Gang Chen, "General recognition of U-G, U-A, and C-G pairs by double-stranded RNA-binding PNAs incorporated with an artificial nucleobase." Biochemistry, 58 (10), 1319-1331 (2019)
36. D Vijay Anand, Zhengyu Meng, and Kelin Xia, "A complex multiscale virtual particle model based elastic network model (CMVP-ENM) for the normal mode analysis of biomolecular complexes." Physical Chemistry Chemical Physics, 21, 4359-4366 (2019)
35. Kelin Xia,"Persistent similarity for biomolecular structure comparison." Comunications in information and systems, 18 (4), 251-280 (2018)
34. Kelin Xia, "Persistent homology analysis of ion aggregation and hydrogen-bonding network." Physical Chemistry Chemical Physics, 20, 13448-13460 (2018)
33. Kelin Xia, "Sequence-based multiscale modeling for high-throughput chromosome conformation capture (Hi-C) data analysis." PLOS ONE, 13 (2), 0191899  (2018)
32. Kelin Xia, "Multiscale virtual particle based elastic network model (MVP-ENM) for normal mode analysis of large-sized biomolecules." Physical Chemistry Chemical Physics, 20 (1), 658-669 (2018)
31. Kelin Xia, Zhiming Li, and Lin Mu, "Multiscale persistent functions for biomolecular structure characterization." Bulletin of Mathematical Biology, 80 (1),1-31 (2018)
30. Yin Cao, Bao Wang, Kelin Xia and Guo-Wei Wei, "Finite volume formulation of the MIB method for elliptic interface problems." Journal of Computational and  Applied Mathematics, 321, 60-77 (2017)
29. Lin Mu,Kelin Xia, and Guowei Wei, "Geometric and electrostatic modeling using molecular rigidity functions." Journal of Computational and  Applied Mathematics, 313, 18-37 (2017)
28. Duc D Nguyen, Kelin Xia and Guo-Wei Wei, "Generalized flexibility-rigidity index." Journal of Chemical Physics, 144, 234106 (2016). 
27. Kristopher Opron, Kelin Xia, Zachary F. Burton and Guo-Wei Wei, "Flexibility-rigidity index for protein-nucleic acid flexibility and fluctuation analysis." Journal of Computational Chemistry, 37, 1283-1295 (2016).

(Before joining NTU)
26. Zixuan Cang, Lin Mu, Kedi Wu, Kristopher Opron, Kelin Xia and Guo-Wei Wei, "A topological approach to protein classification." Molecular Based Mathematical Biology, 3, 140-162 (2015). PDF
25. Kelin Xia, Kristopher Opron and Guo-Wei Wei, "Multiscale Gaussian network model (mGNM) and multiscale anisotropic network  model (mANM)."  Journal of Chemical Physics, 143, 204106(2015). PDF
24. Kelin Xia, Zhixiong Zhao and Guo-Wei Wei, "Multiresolution persistent homology for excessively large biomolecular datasets." Journal of Chemical Physics, 143, 134103(2015).PDF
23. Kelin Xia and Guo-Wei Wei, "Multiresolution topological simplification." Journal of Computational Biology, 22(9), 1-5 (2015).PDF
22. Kelin Xia and Guo-Wei Wei, "Multidimensional persistence in biomolecular data." Journal of Computational Chemistry, 36, 1502-1520(2015).PDF
21. Kelin Xia and Guo-Wei Wei, "Persistent homology for cryo-EM data analysis." International Journal for Numerical Methods in Biomedical Engineering, 31(8), e02719(2015).PDF
20. Jinkyoung Park, Kelin Xia and Guo-Wei Wei, "Atomic scale design and three-dimensional simulations of nanofluidic systems." Microfluidics and Nanofluidics, 19(3), 665-692(2015).PDF
19. Kristopher Opron, Kelin Xia and Guo-Wei Wei, "Communication: Capturing protein multiscale thermal fluctuations." Journal of Chemical Physics, 142, 211101(2015).PDF
18. Bao Wang, Kelin Xia and Guo-Wei Wei, "Second order method for solving 3D elasticity equations with complex interfaces." J. Comput. Phys., 294, 405-438(2015).PDF
17. Kelin Xia, Xin Feng, Yiying Tong and Guo-Wei Wei, "Persistent homology for the quantitative prediction of fullerene stability." Journal of Computational Chemistry, 36, 408-422(2015).PDF
16. Bao Wang, Kelin Xia and Guo-Wei Wei, "Matched interface and boundary method for elasticity interface problems." Journal of Computational and Applied Mathematics, 285, 203-225(2015).PDF
15. Kelin Xia and Guo-Wei Wei, "A Galerkin formulation of the MIB method for three dimensional elliptic interface problems." Computers and Mathematics with Applications, 68, 719-745(2014).PDF
14. Kelin Xia and Guo-Wei Wei, "Persistent homology analysis of protein structure, flexibility and folding." International Journal for Numerical Methods in Biomedical Engineering, 30(8), 814-844(2014).PDF
13. Kristopher Opron, Kelin Xia and Guo-Wei Wei, "Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis." J. Chem. Phys., 140, 234105(2014) .PDF
12. Kelin Xia, Meng Zhan and Guo-Wei Wei, "MIB Galerkin method for elliptic interface problem." Journal of Computational and Applied Mathematics, 272, 195-220(2014).PDF
11. Kelin Xia and Guo-Wei Wei, "Molecular nonlinear dynamics and protein thermal uncertainty quantification." Chaos, 24, 013103(2014).PDF
10. Kelin Xia and Guo-Wei Wei, "Stochastic model for protein flexibility analysis." Physical Review E, 88, 062709(2013).PDF
9. Kelin Xia, Kristopher Opron and Guo-Wei Wei, "Multiscale multiphysics and multidomain models-Flexibility and rigidity." Journal of Chemical Physics, 139, 194109(2013).PDF
8. Kelin Xia, Xin Feng, Zhan Chen, Yiying Tong and Guo-Wei Wei, "Multiscale geometric modeling of macromolecules I: Cartesian representation." J. Comput. Phys., 257, 912-936(2014).PDF
7. Xin Feng, Kelin Xia, Zhan Chen, Yiying Tong and Guo-Wei Wei, "Multiscale geometric modeling of macromolecules II: Lagrangian representation." Journal of Computational Chemistry, 34, 2100-2120(2013).PDF
6. Xin Feng, Kelin Xia, Yiying Tong and Guo-Wei Wei, "Geometric modeling of organelles, subcellular structures and multiprotein complexes." International Journal for Numerical Methods in Biomedical Engineering, 28(12), 1198-1223(2012). PDF
5. Guo-Wei Wei, Qiong Zheng, Zhan Chen and Kelin Xia, "Variational multiscale models for charge transport." SIAM Review, 54(4), 699-754(2012).PDF
4. Kelin Xia, Meng Zhan, Decheng Wan and Guo-Wei Wei, "Adaptively deformed mesh based matched interface and boundary (MIB) method for elliptic interface problems." J. Comput. Phys., 231(4), 1440-1461(2012).PDF
3. Kelin Xia, Meng Zhan and Guo-Wei Wei, "MIB method for elliptic equations with multimaterial interfaces." J. Comput. Phys., 230(12), 4588-4615(2011).PDF
2. Ming Yi, Kelin Xia and Meng Zhan, "Theoretical study for regulatory property of scaffold protein on MAPK cascade: a qualitative modeling." Biophysical Chemistry, 147(3), 130-139(2010).PDF
1. Qi Zhao, Ming Yi, Kelin Xia and Meng Zhan, "Information propagation from IP3 to target protein: A combined model  for encoding and decoding of Ca2+ signal." Physica A, 388, 4105-4114(2009).PDF

(Conference papers)
4. See Hian Lee, Feng Ji, Kelin Xia, Wee Peng Tay, "Graph Neural Networks with a Distribution of Parametrized Graphs", Proceedings of the 41st International Conference on Machine Learning (ICML), PMLR 235:26640-26660 (2024)
3. Longlong Li, Xiang Liu, Guanghui Wang, Yu Guang Wang, and Kelin Xia. "Path Complex Neural Network for Molecular Property Prediction." In ICML 2024 Workshop on Geometry-grounded Representation Learning and Generative Modeling (2024)
2. Xiang Liu, and Kelin Xia, "Persistent Tor-algebra based stacking ensemble learning (PTA-SEL) for protein-protein binding affinity prediction", ICLR 2022 Workshop on Geometrical and Topological Representation Learning (2022)
1. Xiang Liu, and Kelin Xia, "Neighborhood complex based machine learning (NCML) models for drug design." In Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data, pp. 87-97. Springer, Cham (2021).

(Book editor)
Takafumi Ueno, Sierin Lim, and Kelin Xia, "Protein Cages: Design, Structure, and Applications", Book series Methods in Molecular Biology, New York, NY: Springer US (2023)

Presentations
(Invited speaker) SMART Symposium on "AI-Driven Computational Biology and Medicine", Shenzhen Medical Academy of Research and Translation (SMART) and Shenzhen Bay Laboratory (SZBL), October 26-29, 2024
(Invited speaker) "International Conference on Mathematical Theory of Deep Learning", Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, CAS, Beijing, August 5-9, 2024
(Invited speaker) "Hypergraphs: Theory and Applications", Isaac Newton Institute for Mathematical Sciences, London, July 22-August 16, 2024
(Invited speaker) AI and Math Seminar, Chongqing University of Technology, July 6-7, Chongqing, 2024
(Invited speaker) "2024 International Symposium on Computational Molecular Science and Machine Learning", NYU-Shanghai, June 29-July 1, 2024
(Invited speaker) "Workshop on Formal Proofs and Lean", IMS, Singapore, April 15-26, 2024
(Invited speaker) "Artificial Intelligence and Computational Mathematics Conference", SJTU, Shanghai, March 16-17, 2024
(Invited speaker) NVIDIA AI4Science Technical Sharing Session, Feb 29, 2024
(Invited speaker) Eric and Wendy Schmidt AI in Science Convening Meeting, Feb 23, 2024
(
Invited speaker) "Computational Topology and Application", TSIMF, Sanya, December 18-22, 2023
(Invited speaker, declined due to heathy reason) The 5th conference on “Computational and Mathematical Bioinformatics and Biophysics”, TSIMF, Sanya, China, December 11-15, 2023
(Invited speaker) "Seminar on Recent Advances in Topology", Tianyuan Mathematics Research Center, Kunming, China, September 8-14, 2023
(Invited speaker) "Advances in Homotopy Theory IV", BIMSA, Beijing, June 16-23, 2023
(Invited speaker) "Topological Data Analysis and Applications", Dagstuhl Seminar, Germany, May 07-12, 2023
(
Invited speaker) "Dirac equation between discrete and continuous: new trends and applications", Online, QMUL, May 3-4, 2023
(Invited speaker) CDSML Seminar Series, NUS, Feb 16, 2023
(Invited speaker)  Spring School on Geometric Methods in Data Science, Braude College of Engineering, Karmiel, Israel, February 12-17, 2023

(Invited speaker)  "Workshop on topological data analysis: mathematics, physics and beyond", KIAS, Seoul, South Korea, February 08-10, 2023
(Invited speaker) ICMMA 2022 International Conference on "Topology and its Applications to Engineering and Life Science", Meiji Institute for Advanced Study of Mathematical Sciences, Tokyo, Japan, November 28, 2022
(Invited speaker)  Seminar at Queen Mary University of London, UK, November 16, 2022
(Invited speaker)  Seminar at University of Liverpool, UK, November 15, 2022
(Invited speaker) Mini-sumposiums "Special Session on Applied Knot Theory" at 2022 Fall Southeastern Sectional Meeting, University of Tennessee at Chattanooga, Chattanooga, US, October 15-16, 2022
(Invited speaker) Seminar at Karlsruhe Institute of Technology, Germany, September 30, 2022
(Invited speaker) Seminar at University of Bologna, Italy, September 28, 2022
(Invited speaker) Seminar at University of Milan, Italy, September 26, 2022
(Invited speaker) Seminar at Nankai University, China, September 23, 2022
(Invited speaker) "The Second Workshop on Topological Data Analysis for Biomedical Imaging", Singapore, September 22, 2022
(Invited speaker) Seminar at School of Mathematics, Hangzhou Normal University, China, September 21, 2022 (Online meeting)
(Invited speaker) Seminar at Korea Institute for Advanced Study, Korea, August 17, 2022 (Online meeting)
(Invited speaker) Seminar at Xiamen University, China, August 04, 2022 (Online meeting)
(Invited speaker) Minisymposium on “Molecular Biosciences: Advances in Molecular Property and Structure Predictions” at SIAM Conference on Life Sciences (LS22), Pittsburgh, Pennsylvania, US, July 11-14, 2022 (Hybrid meeting)
(Invited speaker) Seminar at International Laboratory of Algebraic Topology and Its Applications, HSE, Russia, May 20, 2022 (Online meeting)
(Invited speaker) Workshop on "The Mathematics of Soft Matter", Institute for Mathematical and Statistical Innovation (IMSI), Chicago, US, February 28-March 4, 2022 (Online meeting)
(Invited speaker) DKU-NUSRI Joint Workshop on Pure and Applied Mathematics, January 6-9, 2022 (Online meeting)
(Invited speaker) The fourth conference on Computational and Mathematical Bioinformatics and Biophysics, TSIMF, Sanya, China, December 13-17, 2021 (Online meeting)
(Invited speaker) Topological Data Analysis and its Applications for Medical Data (MICCAI 2021), September 27, 2021 (Spot Light)
(Invited speaker) Asia Pacific Seminar on Applied Topology and Geometry, September 17, 2021
(Invited speaker) Workshop on "Metrics in Multiparameter Persistence 2021", Lorentz Center@Virtual, July 19-22, 2021
(Invited speaker) ILJU POSTECH MINDS Workshop on "Topological Data Analysis and Machine Learning", July 6-9, 2021 (Online meeting)
(Invited speaker) Applied Algebraic Topology Research Network (AATRN) Seminar, June 23, 2021 (Online meeting)
(Invited speaker) Appied Topology Seminar 2021, Dalian University of Technology, June 6-11, 2021 (Online presentation)
(Invited speaker) POSTECH Minds Seminar, Pohang University of Science Technology, South Korea, May 25, 2021 (Online meeting)
(Invited speaker) Nankai Mathematical Seminar, Naikai University, Tianjin, China, April 29, 2021 (Online meeting)
(Invited speaker) ACS spring 2021 symposium "Graph Theory Underpinning New Domains of Physical Chemistry", April 13, 2021 (Online meeting)
(Invited speaker) Deep Learning for Dynamical System (ODE & PDE) Seminar, Duke-Kunshan University, China, March 22, 2021 (Online meeting)
(Invited speaker) Seminar at data science institute, Shangdong Univeristy, China, Jan 15 2021 (Zoom online meeting)
(Invited speaker) "The International Consortium of Chinese Mathematicians (ICCM) 2020 Annual Meeting",  USTC, Hefei, China, Dec 27-29, 2020 (Online meeting)  Best Paper Award (distinguished paper)
(Invited speaker) "The third TSIMF Conference on Computational and Mathematical Bioinformatics and Biophysics", Sanya, China, Dec 20-24, 2020 (Online meeting)
(Invited speaker) "The 8th East Asian Conference on Algebraic Topology" (EACAT 8), Vietnam Institute for Advanced Study in Mathematics (VIASM) & Vietnam National University (VNU), Dec 14-18, 2020 (Onlinee meeting)
(Invited speaker) "Applied topology winter school and seminars", Dalian, China, Dec 13-16 2020 (Online and onsite meeting)
(Invited speaker) “The 3rd Worldwide Chinese Conference of Computational Biology”, Peking University, China, 3-6 August, 2020 (Online meeting)
(Organizer) Mini-symposium "Topological data learning"(MS75 and MS90) at the 2020 SIAM Conference on Mathematics of Data Science, Cincinnati, Ohio, US, May 4 - June 30, 2020 (Zoom online meeting, June 25) (Co-organizer: Zixuan Cang)
(Invited speaker) CCMA Seminar on Mathematics of Data and Computation, Department of Mathematics, PennState,  April 17, 2020
(Invited speaker, workshop cancelled) Symposium "Graph Theory Underpinning New Domains of Physical Chemistry" at Spring 2020 National Meeting of the American Chemical Society, Philadelphia, USA, March 22 – 26, 2020
(Invited speaker, workshop cancelled) Workshop on Geometry of Metric Spaces, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, March 16-20, 2020
(Invited speaker) Winter School on Topological Data Analysis, Novosibirsk State University, Russia, February 3-8, 2020
(Invited speaker) Conference on "Algebraic Topology and Applied Topology", Chongqing, China, Jan 3-8, 2020
(Invited speaker) The second conference on "Computational and Mathematical Bioinformatics and Biophysics", Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, December 9-13, 2019
(Invited speaker) Singapore University of Technology and Design, Singapore, Sep 27 2019
(Invited speaker) Workshop on Computational Topology at Dalian, Dalian University of Technology, July 21-31, 2019
(Invited speaker) School of Mathematics, South China University of Technology, Guangzhou, June 11, 2019
(Invited speaker, declined due to Visa issue) TGDA@OSU TRIPODS workshop on Structure in the Micro-world, Ohio State University, May 28-31, 2019.
(Invited speaker, declined due to Visa issue) NSF-CBMS Regional Research Conference: Mathematical Molecular Bioscience and Biophysics, The University of Alabama, May 13 - 17, 2019.
(Invited speaker) "Computational and Mathematical Approaches for Bioinformatics and Biophysics" workshop at Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, Dec 10-14, 2018
(Academic Committee, Speaker) The First National Conference on Molecular Biology and Topology, Shijiazhuang, Hebei, China, Oct 26-29, 2018
(Invited speaker) Mini-symposium "Applied and Computational Topology" at the SIAM Central States Section Meeting, Norman, Oklahoma, USA, Oct 5-7, 2018
(Invited speaker) Complexity community Share session, NTU, Singapore, Sep 25, 2018
(Invited speaker) Strategic Partnership with IIT Madras, IISc and IIT Bombay and Joint Workshops, India, Sep 17-20, 2018
(Invited speaker) Workshop on Algebraic Topology and Geometric Topology, Dalian, China, Aug 9-13, 2018
(Invited speaker, declines due to time conflict) Mathematics of Drug Design/Discovery, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada, June 4 - 7, 2018
(Invited speaker)  Workshop on Algebraic Topology and Applied Topology, NUS, Singapore, Jan 23, 2018
(Invited speaker) ASPIRE League Research Workshop, School of Life Science and Technology, Tokyo Institute of Technology, Yokohama, Japan, Nov 24, 2017
(Invited speaker) Mini-symposium "Molecular Bioscience and Biophysics: Modeling and Computation" at the 3rd SIAM CSS annual meeting, Fort Collins, Colorado, Sep 29 - Oct 1, 2017
(Invited speaker) NYU-ECNU Center for Computational Chemistry at NYU Shanghai, Shanghai, September 7, 2017
(Invited speaker) Workshop on "Topology of the Biomolecular World", American Institute of Mathematics, San Jose, CA, July 24-28, 2017
(Invited speaker) International Symposium on Computational Mathematics, Optimization, and Computational Intelligence (CMOCI 2017), IIT Indore, India, July 17 - 19, 2017
(Invited speaker) "Mathematics Biophysics and Molecular Biosciences" Workshop at Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China, Dec 19-23, 2016
(Poster) "Topological, Geometric, and Statistical Techniques in Biological Data Analysis", Mathematical Biosciences Institute, September 12-September 16, 2016
(Invited speaker) Department of Mathematics, National University of Singapore, Singapore, August 31, 2016 
(Invited speaker) Bioinformatics Institute, A*STAR, Singapore, August 23, 2016
(Invited speaker) School of Biological Science, Nanyang Technological University, Singapore, August 15, 2016
(Organizer) Mini-symposium "Molecular Biosciences and Biophysics: Topological and Geometic methods" at SIAM Conference on Life Sciences, Boston, Masschusetts, July 13, 2016 (Co-organizer: Prof. Natasha Jonoska)

(Before joining NTU)
(Invited speaker) Department of Mathematics and Statistics, University of North Carolina Charlotte, April 25, 2016
(Invited speaker) School of Mathematical Science, Monash University, April 21, 2016
(Invited speaker) School of Physical and Mathematical Science, Nanyang Technological University, March 8, 2016
(Invited speaker) Department of Mathematics, The university of Tennessee at Chattanooga, February 30, 2016
(Invited speaker) Department of Mathematical Science, Georgia Sourthern University, February 22, 2016
(Invited speaker) Department of Mathematics, North Carolina State University, January 21, 2016
(Invited speaker) Geometric and Topological Modeling of Biomolecules, Mathematical Biosciences Institute, September 28-October 2, 2015 (Video)
(Invited speaker) IMA hot topic workshop on "Mathematics of Biological Charge Transport: Molecular and Beyond", IMA, Twin Cities, July 20-24, 2015
(PosterAdvanced Numerical Methods in the Mathematical Sciences, Texas A&M, College Station, TX, May 4-7, 2015
(Invited speaker) "Modeling, Numerics and Analysis of Electrodiffusion Phenomena" at AMS Central Spring Sectional Meeting, Michigan State University, East Lansing, Michigan, March 14-15, 2015
(Organizer) Workshop on persistent homology for biosciences, East Lansing, October 18, 2014 (With Prof.Guowei Wei and Prof. Yiying Tong)
(Organizer) Mini-symposium "Molecular Biosciences: Topological modeling of biomolecules" at SIAM Conference on Life Sciences, Charlotte, North Carolina, August 4-7, 2014(Co-organizer: Prof.Yuanan Diao)
(Invited speaker) Mini-symposium "Modeling and computation of problems in mathematical biology" at the 38th annual meeting of the SIAM Southeastern Atlantic Section, Florida Institute of Technology in Melbourne, Florida, March 28-30, 2014
(Poster) IMA Annual Program Year Workshop Topological Structures in Computational Biology, December 9-13, 2013 
(Poster) 2013 Great Lakes SIAM Conference on "Computational Mathematics: Modeling, Algorithms and Applications", Central Michigan University, April 20, 2013
(Invited speaker) Mathematical Challenges in Biomolecular/Biomedical Imaging and Visualization, Mathematical Biosciences Institute, February 18-22, 2013
(Invited speaker) 12th International Symposium on Mathematical and Computational Biology, Tempe, Arizona, November 7-10, 2012
(Speaker) SMB Annual Meeting and Conference, Knoxville, Tennessee, July 25-28, 2012
(Participation) 2nd Midwest Conference on "Mathematical Methods for Images and Surfaces", East Lansing, August 27-28, 2011
(Traveling award) Modeling and Computation of Biomolecular Structure and Dynamics, Mathematical Biosciences Institute, Ohio State University, April 25-29, 2011
(Poster,traveling award) Fluid Motion Driven by Immersed Structures, University of Toronto, August 9-13, 2010
(Participation) Workshop on Nano-Bio Mathematics and Mechanics, Michigan State University, August 5, 2010
(Participation) Modeling and Numerical PDEs in Mathematical Biology and Applications, Oakland University, April 16, 2011
(Participation) Frontiers in Mathematical Biology: NSF-NIH PIs Meeting 2010, University of Maryland, College Park, April 26-27, 2010
(Participation) SIAM Great Lakes Conference: Modeling and numerical PDEs in Mathematical Biology, University of Michigan at Dearborn, April 17, 2010