Profile

Jul 2018
Visiting scholar, School of Mathematics and Statistics, University of Sheffield, United Kingdom

Dec 2017
Visiting scholar, School of Mathematical Sciences, University of Adelaide, Australia

Apr 2017
Visiting scholar, The School of Mathematics and Statistics, Henan University, China

Nov 2016
Visiting scholar, Research Center for Operator Algebras, East China Normal University, China

Jul 2015
Visiting scholar, School of Mathematical Sciences, University of Adelaide, Australia

Nov 2014
Visiting scholar, Morningside Center of Mathematical Science, Chinese Academy of Science, China

May 2014
Visiting scholar, School of Mathematics, Hunan University, China

Jun 2013
Visiting scholar, Department of Mathematics, University of Manchester, United Kingdom

Nov – Dec 2012
Visiting scholar, Department of Applied Mathematics, National Sun Yat-Sen University, Taiwan, China

Oct – Dec 2012
Visiting scholar, Mathematical Sciences Center, Tsinghua University, Beijing, China

Jun 2012
Visiting scholar, Department of Mathematics, University of Macau, China

2006 – 2009
Junior member, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, United Kingdom

• AMS MathSciNet Reviewer
• Member of American Mathematical Society
• Journal Reviewers: Ramanujan Journal, Research in Number Theory, Integers and etc.
• Founding President, Macau Association for Youth Scientists, 2023 –
• Advisor, The Committee on Inter-College Affairs (CICA), 2023-2024
• Deputy Advisor, The Committee on Inter-College Affairs(CICA), 2022-2023

Academic Talks

1. National Conference on Number Theory, Jintan, China, 2021
2. Workshop on Number Theory and Automorphic Forms, Soochow University, Suzhou, China, 2020
3. Seminar, East China Normal University, Shanghai, China, 2019
4. International Workshop on Operator Theory and Applications, Shanghai, China,2018
5. Workshop on Noncommutative Geometry and Representation Theory, Sichuan University, Chengdu, China, 2018
6. Seminar, Henan University, Kaifeng, China, 2017
7. Workshop for Modern Mathematics, University of Macau, Macau, China, 2017
8. Fudan-KAIST Workshop on Algebra and Geometry, Dajeon, Korea, 2016
9. Seminar, Zhejiang University, Hangzhou, China, 2016
10. p-adic day, Fudan University, Shanghai, China, 2014
11. Seminar, Hunan University, Changsha, China, 2014
12. International Conference on Banach methods in Noncommutative Geometry, Wuhan, China, 2014
13. Series Lectures on decent method for classical groups, Mathematical Sciences Center, Tsinghua University, China 2013
14. China-Japan Conference on Noncommutative Geometry and K-Theory, Changchun, China, 2013
15. 2nd Youth Forum of Algebra, Wen-Tsun Wu Key Laboratory of Mathematics, Anhui, China, 2012
16. Series Lectures on representation theory and index theory, Mathematical Sciences Center, Tsinghua University, China, 2012
17. International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, NCTS, Taiwan, China, 2011
18. Workshop on Automorphic Forms and Representations, AMSS, CAS, Beijing, China 2011
19. Seminar, Sichuan University, Sichuan, China, 2011
20. Seminar, University of Luxembourg, Luxembourg, 2010
21. Seminar, Center for Theoretical Sciences (South), Taiwan, China, 2010
22. Series Lectures on p-adic representations, Center for Theoretical Sciences (South), Taiwan, China, Sept-Dec, 2010
23. Seminar, National Sun Yat-sen University, Taiwan, China, 2010
24. 46th K-theory day, University of Manchester, UK, 2008
25. 44th K-theory day, University of Manchester, UK, 2007

Conferences Attended (selected)

1. IASM-BIRS Workshop on Arthur Packets, Hangzhou, China, 2023
2. National Conference on Number Theory, Jintan, China, 2021
3. Workshop on Representations of Reductive Groups, Shanghai Jiao Tong University, Shanghai, China, 2021
4. Workshop on Number Theory and Automorphic Forms, Soochow University, Suzhou, China, 2020
5. Workshop on Noncommutative Geometry and Representation Theory, Chengdu, China, 2018
6. International Workshop on Operator Theory and Applications, Shanghai, China, 2018
7. International Conference on Matrix Inequalities and Matrix Equations, Shanghai, China, 2018
8. 2017 Noncommutative Geometry Conference, Fudan University, China, 2017
9. Fudan-KAIST Workshop on Algebra and Geometry, Dajeon, Korea, 2016
10. Representation Theory, Number theory, and Invariant Theory, Yale University, New Haven, Connecticut, US, 2015
11. International Conference on Functional Analysis, Hangzhou, China, 2014
12. International Conference on Banach methods in Noncommutative Geometry, Wuhan, China, 2014
13. Further Development of Atiyah-Singer Theorem and K-theory, Kyoto University, Japan, 2013
14. China-Japan Conference on Noncommutative Geometry and K-Theory, Changchun, China, 2013
15. International Consortium of Chinese Mathematicians, Taipei, Taiwan, China, 2013
16. Workshop on Automorphic Forms, CAS, Beijing, China, 2012
17. Non-Commutative Geometry, Fudan University, Shanghai, China, 2012
18. 2nd Youth forum of algebra, Wen-Tsun Wu key laboratory of mathematics, University of Science and Technology of China, Anhui, China, 2012
19. The Third Pan Asian Number Theory Conference, AMSS, CAS, China, 2011
20. Workshop on Automorphic Forms and Representations, AMSS, CAS, China, 2011
21. NCTS International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, National Tsing-Hua University, Hsinchu, Taiwan, 2011
22. NCTS Serre lecture on Sato-Tate conjecture, National Tsing-Hua University, Hsinchu, Taiwan, China 2011
23. NSYSU-CUHK Workshop in Modern Mathematics, Taiwan, China, 2010
24. Fifth National Conference on Number Theory, Zhaoqing, Guandong, China, 2010
25. Eighth Annual NCGOA Spring Institute, Vanderbilt University, Tennessee, US, 2010
26. Lie theory and representation, Isaac Newton Institute Workshop, Cambridge, UK, 2009
27. New Direction in Non-Commutative Geometry, Manchester, UK, 2008
28. Sixth Annual NCGOA Spring Institute, Vanderbilt University, Tennessee, US, 2008
29. Geometric Langlands conjecture, University of Oxford, UK, 2007
30. K-theory school, Sedano, SPAIN, 2007
31. Noncommutative Geometry and Cyclic Cohomology, Isaac Newton Institute Workshop, Cambridge, UK, 2006

1. J.-F. Xie, K. F. Chao, A note on 3-divisibility of class number of quadratic fields, Chinese Annals of Mathematics, Ser. B, 43, pages307–318 (2022)
2. J. W. Zhang, K. F. Chao, On the construction of K_0 group for C∗ algebra of finite groups, Journal of Shanghai University, 2021.
3. J. F. Xie, K. F. Chao, On the divisibility of class numbers of imaginary quadratic fields (Q(sqrt{D}), Q(sqrt{D+m})) The Ramanujan Journal, 2020, vol 53, 517-528.
4. K. F. Chao, K. F. Lai, Buildings and groups II, Chinese Quarterly Journal of Mathematics 2020,Vol 35, No. 3 p.221-254.
5. K. F. Chao, H. Wang, Langlands Functorality in K-theory for C∗-algebras. I. Base Change, Journal of Noncommutative Geometry, 11 (2017), 1001-1036.
6. K. F. Chao, W. W. Li, Dual R-group of inner forms of SL(N), Pacific Journal of Mathematics, Vol 267, No. 1, 2014, pp.35-90.
7. K. F. Chao, R. Plymen, Geometric structure in the tempered dual of SL(4), Bulletin London Math. Soc.44 (2012) 460-468.
8. K. F. Chao, Geometric structure in the tempered dual of SLl(F): toral case, Bulletin of the Australian Mathematical Society December 2011, 84 : pp. 425-432.
9. K. F. Chao, R. Plymen, A new bound for smallest x with π(x) > li(x), International Journal of Number Theory, Volume: 6, Issue: 3(2010) pp. 681-690.
10. K. F. Chao, S. Tao, W. Yang, Trend forecast of COVID-19 outbreak based on Gompertz-ARIMA time series models, completed.
11. K. F. Chao, K. F. Lai, Norm field and algebraic tori, submitted.

Books

1. K. F. Lai, Z. J. Bai, K. F. Chao , “Advanced linear algebra”(高等線性代數學), Higher Education Press, ISBN 978-7-04-0410570-0.
2. L. Z. Ji, K. F. Lai, Z. B. Liang, K. F. Chao, “Theory of Buildings and Applications in Geometry and Topology”(樓理論及其在几何和拓扑中的應用), Higher Education Press, to appear.

Book Sections (Translations)

1. R. Langlands, “Langlands Program and his mathematical world”(朗蘭茲綱領及其數學世界), Higher Education Press, ISBN 978-7-04-049929-2.

Grant

1. National Natural Science Fundation of China, Grant no: 11401105, “On the Local Langlands correspondences, representation of p-adic groups, K-theory and related topics”.

Awards and Hounors

1. Finalist for top 10 of the best supervisors, Shanghai University, 2021
2. K.C.Wong Postdoctoral fellow scholarship, Chinese Academy of Science, 2012
3. Full PhD scholarship of School of Mathematics, University of Manchester, 2005
4. Meritorious Winner, USA Interdisciplinary Contest in Modeling (ICM), 2004
5. Scholarship of excellent student in Sun Yat-sen University, 2003
6. First prize, China Undergraduate Mathematical Contest in Modeling, 2003
7. First prize of excellent freshman, Sun Yat-sen University, 2000
8. Contestant of International Mathematical Olympiad (IMO), 2000
9. Top Six of Macau Mathematical Olympiad, 2000

1. Supervisor of “The training plan of top-notch talent”, School of Mathematical Science, Fudan University;
2. Supervisor of seminar in Number Theory, Shanghai Center for Mathematical Science;
3. Supervisor of seminar in Number Theory, and Representation Theory, Shanghai University;
4. Supervisor of ”Mathematics Forum for undergraduate”, Shanghai University;
5. Supervisor of Undergraduate Seminar in mathematics, Shanghai University;
6. Coach of China National Team of Mathematical Olympic 2017.
7. Supervisions: 3 master degree students’ dissertation
8. Supervisions: 11 undergraduate students’ dissertation

Student Awards under my supervision

• Finalist, USA Mathematical Contest In Modeling, 2021
• Honornable Mention, USA Interdisciplinary Contest In Modeling, 2021
• Third Prize (Two teams), China Undergraduate Mathematical Contest in Modeling, 2021
• Third Prize, ”HUAWEI Cup” National Graduate Student Mathematical Contest in Modeling, 2021
• Successful Participants (Three Teams), USA Interdisciplinary Contest In Modeling, 2024
• Second Prize, “Zhengda Cup” 14th National University Student Market Research and Analysis Competition, 2024