
教授
Email: cpmok _at_ simis.cn
Research Fields: Algebraic Number Theory, The Langlands’ Program, Asymptotic Problems in Varieties over Finite Fields and Representation Theory
Office No.: 1306
简历
莫仲鹏2007年毕业于哈佛大学,师从著名数学家Barry Mazur教授。其研究聚焦于代数数论与朗兰兹纲领,重点探索p-adic L-functions、p-adic automorphic forms、Arthur trace formula、endoscopy theory等。近年来,他运用有限域技术构建高维伪随机向量,为Monte Carlo 方法提供了多项创新应用。莫教授曾任教于多所高校,包括香港中文大学、加拿大麦克马斯特大学及美国普渡大学,在数论与算术几何交叉领域具有广泛学术影响力。
目前,他致力于研究有限域上簇的渐近问题及表示论。
教育经历
- 2003.9-2007.6 哈佛大学 数学 Doctor of Philosophy
- 2000.9-2003.6 The Chinese University of Hong Kong 数学 Bachelor of Science
工作经历
2024.12-present: 上海数学与交叉学科研究院 教授
2019.12-2024.12 Soochow University Distinguished Professor
2018.07-2019.12 Institute of Mathematics, Academia Sinica 研究员
2016.08-2018.06 Purdue University Associate Professor
2014.07-2016.06 Morningside Center of Mathematics, The Chinese Academy of Sciences 访问学者
2011.07-2014.06 McMaster University 助理教授
2010.08-2011.06 The Chinese University of Hong Kong 助理教授
2007.08-2010.06 加州伯克利大学 Morrey Assistant Professor
荣誉和获奖
- Advancement of Science and Technology in Jiangsu Province Universities Award, 2023
- Jiangsu Specially-Appointed Professor, 2020
- Li Foundation Heritage Prize, Excellence in Creativity, 2019
- Early Researcher Award, Ontario Province, 2012
论著
- C. P. Mok, H. M. Zheng, Pseudorandomness of Sato-Tate distributions for Elliptic Curves. Preprint (2023). 21 pages. Submitted for publication. arXiv.2301.12823
- C. P. Mok, H. M. Zheng, Monte Carlo Integration Using Elliptic Curves. Preprint (2022). 21 pages. To appear in Chinese Annals of Mathematics Series B.
- C. P. Mok, Pseudorandom Vector Generation Using Elliptic Curves And Applications to Wiener Processes. Finite Fields and Their Applications, vol. 85, January (2023), 102129.
- C. P. Mok, On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields. Transactions of the American Mathematical Society, Volume 374 (2021), 1391 1419.
- C. P. Mok, Z. F. Peng. The spectral side of stable local trace formula. Documenta Mathematica, No. 24 (2019), 303–329.
- C. P. Mok. A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups. Science China Mathematics, Volume 61, No. 6 (2018), 993–1012.
- M.Chida, C. P. Mok, J. Park, On Teitelbaum type L-invariants of Hilbert modular forms attached to definite quaternions. Journal of Number Theory, Volume 147 (2015), 633–665.
- C. P. Mok, Endoscopic classification of representations of quasi-split unitary groups. 260 pages. Memoirs of the American Mathematical Society, Volume 235 (2015), No. 1108.
- C. P. Mok, F. C. Tan, Overconvergent families of Siegel-Hilbert modular forms. Canadian Journal of Mathematics, Vol. 67 (4), 2015, p. 893–922.
- C. P. Mok, Galois representations attached to automorphic forms on GL2 over CM fields. Compositio Mathematica, volume 150, issue 04, 2014, p. 523–567.
- C. P. Mok, L-invariant of the adjoint Galois representations of modular forms of finite slope. Journal of the London Mathematical Society. Vol.86 (2012), 626–640.
- C. P. Mok, Heegner points and p-adic L-functions for elliptic curves over totally real fields. Commentarii Mathematici Helvetici. Vol. 86, issue 4 (2011), 867–945
- C. P. Mok, Special values of L-functions of elliptic curves over Q and their base change to real quadratic f ields. Journal of Number Theory vol. 130 (2010), 431–438. Corrigendum and Addendum, in Journal of Number Theory, vol. 183 (2018), 495–499.
- C. P. Mok, Exceptional Zero Conjecture for Hilbert Modular Forms. Compositio Mathematica, Volume 145 Part 1 (January 2009), 1–55.
- C. P. Mok, Sato-Tate conjecture for abelian varieties with real multiplication over function fields. Mathemat ical Research Letters, Vol. 14, Issue 1, 2007, 113–128