Chenyan Wu (吴晨彦)

Seminars and Workshops

• Number Theory Seminar (Nuts) @ University of Melbourne (Links to past seminars: 2023, 2022, 2021, 2020, further back.)
• Representation Theory Seminar @ University of Melbourne
• Arithmetic Geometry Seminar @ University of Melbourne
• Pure Mathematics Seminar @ University of Melbourne
• Undergraduate Seminar on Algebra @ University of Melbourne
• Events at Fudan University
• Events at Morningside Center of Mathematical Sciences
• My Visitors and Their Talks. (I maintain this list as the website of SCMS may be unavailable off-campus from time to time for ridiculous reasons.)
• 6--8 Oct. 2020, Number Theory Down Under 8.
• 10--12 July, 2017, Workshop on Automorphic Forms and Automorphic Representations.

Reseach

I am most interested in Number Theory and Arithmetic Geometry. Currently I am focusing on automorphic forms, theta correspondence, L-functions, endoscopy, periods and Abelian varieties.

Publication and Preprints

1. Chenyan Wu. Theta correspondence and simple factors in global Arthur parameters. Algebra Number Theory, 18(5):969–991, 2024. arXiv:2208.06566.
2. Poles of Eisenstein series and theta lifts for unitary groups. Pacific Journal of Mathematics 317-1 (2022), 207–237. arXiv:2104.11954.
3. Periods and (χ, b)-factors of Cuspidal Automorphic Forms of Metaplectic Groups. Journal of Number Theory, 241:262–296, 2022. arXiv:2002.08551.
4. Virtual Abelian Varieties of GL₂-type. Mathematical Research Letters.Volume 27 (2020), no. 3, 903-944. arXiv:1507.03069.
5. Periods and (χ, b)-Factors of Cuspidal Automorphic Forms of Symplectic Groups. With Dihua Jiang (江迪华). Israel J. Math. 225 (2018), no. 1, 267–320. arXiv:1507.03297.
6. A Critical Case of Rallis Inner Product Formula. Sci. China Math. 60 (2017), no. 2, 201–222. arXiv:1603.04123.
7. On (χ, b)-factors of Cuspidal Automorphic Representations of Unitary Groups I. With Dihua Jiang (江迪华). J. Number Theory 161 (2016), 88–118. arXiv:1409.0767.
8. Irreducibility of Theta Lifting for Unitary Groups. J. Number Theory, 133(10):3296–3318, 2013. arXiv:1409.0770.
9. Classification of Small Covers over Prisms up to Equivariant Cobordism. Adv. Math. (China), 37(5):584–590, 2008.

Teaching

Unless otherwise specified, the subject materials are on Canvas.

• 2024 Semester 2, MAST10021 Calculus 2 Advanced
• 2024 Semester 1, MAST90136 Algebraic Number Theory
• 2023 Semester 2, MAST10005 Calculus 1
• 2023 Semester 1, MAST20009 Vector Calculus
• 2022 Semester 2, MAST20009 Vector Calculus
• 2022 Semester 2, MAST10005 Calculus 1
• 2021 Semester 2, MAST90017 Representation Theory
• 2021 Semester 2, MAST10005 Calculus 1
• 2020 Semester 2, MAST10007 Linear Algebra
• 2020 Semester 1, MAST90136 Algebraic Number Theory
• 2019 Semester 1, MAST10006 Calculus II
• Spring 2018 MATH130128.01 Abstract Algebra II
• Spring 2017 MATH620040 Commutative Algebra
• Spring 2016 MATH620040 Commutative Algebra
• Spring 2015 MATH 4242 Applied Linear Algebra Section 001
• Fall 2014 MATH 4242 Applied Linear Algebra Section 020 and Section 030
• Spring 2014 Math 5248 Cryptology and Number Theory
• Spring 2014 Math 2374 CSE Multivariable Calculus and Vector Analysis
• Fall 2013 Math 5248 Cryptology and Number Theory
• Spring 2012 MATH 2373 CSE Linear Algebra and Differential Equations
• Fall 2011 MATH 4242 Applied Linear Algebra

Students

• Miles Koumouris, PhD Student (co-supervised with Alex Ghitza and Peter McNamara), University of Melbourne, Australia, 2024S2--present.
• Alexander Stratov, MSc student, University of Melbourne, Australia, 2024S2--present.
• Riley Morris, MSc student, University of Melbourne, Australia, 2023S2--present.
• Qizheng Han, MSc student, University of Melbourne, Australia, 2023S2--present.
• Bowan Hafey, PhD student (co-supervised with Alex Ghitza), University of Melbourne, Australia, 2023S1--present.
• Chengjing Zhang, PhD student (co-supervised with Alex Ghitza and Kari Vilonen), University of Melbourne, Australia, 2022S2--present.
• Jiarui Chen, MSc student, University of Melbourne, Australia, 2022S2--2023S1.
• Yiannis Fam, MPhil student (co-supervised with Alex Ghitza), University of Melbourne, Australia, 2022S1--2023S1.
• Simon Thomas, MSc student, University of Melbourne, Australia, 2020S2--2022S1.
• Vincent Chen, 3rd year student, Vacation Scholarship Program, University of Melbourne, Australia, 2019.
• Yongtian Xu, Senior Project, University of Minnesota, USA, 2015.

Potential Student Projects

Some projects of varying levels (unsorted). Please contact me if you are interested in learning or shaping the projects with me.

• Jacquet modules, wave front sets, Arthur parameters.
• Understand Class Field Theory. This is the GL₁-case of Langlands Correspondence.
• Modular forms, automorphic forms and automorphic representations. Potentially also spectral theory, trace formulae.
• Study and compare many constructions of L-functions.
• Theta correspondence and endoscopic correspondence. Certain useful constructions from the descent method. Langlands parameters and Arthur parameters.
• Study elliptic curves with complex multiplication. This is closely related to the Class Field Theory project.
• Understand modular curves i.e., moduli spaces of elliptic curves.
• Hilbert modular surfaces (which are moduli spaces of certain Abelian varieties). One may need to use software such as SageMath to do some numerical computation.

Talks

• Explicit relation between invariants from Eisenstein series and theta lifts, with an application to Arthur packets, Pure Maths Seminar, the University of Melbourne, 4 Oct. 2024.
• Theta correspondence and simple factors of global Arthur parameters, 24 Hours of Theta, National University of Singapore, 11 Sept. 2024.
• Theta correspondence and simple factors of global Arthur parameters, HKU Number Theory Days, the University of Hong Kong, China, 27 June, 2024.
• Theta correspondence and poles of Eisenstein series, Zhejiang University, Hangzhou, China, 15 Nov. 2023.
• Theta correspondence and simple factors of global Arthur parameters, Worshop on Arthur packets, IASM, Hangzhou, China, 6 Nov. 2023.
• Irreducible admissible representations of GL_n(F), where F is a p-adic field, parts 1 and 2, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 11, 18 Oct. 2023.
• Theta correspondence and simple factors of global Arthur parameters, Fudan University, Online, 20 July, 2023.
• Theta correspondence and simple factors of global Arthur parameters, Renmin University of China, Online, 23 Feb. 2023.
• Theta correspondence and simple factors of global Arthur parameters, National University of Singapore, 19 Jan. 2023.
• Global Theta Correspondence and Simple Factors of Arthur Parameters, AustMS 2022, University of New South Wales, Sydney, Australia, 9 Dec. 2022.
• Global Theta Correspondence and Simple Factors of Arthur Parameters, Number Theory Down Under 10, the University of Queensland, Brisbane, Australia, 27 Sept. 2022.
• Theta correspondence, poles of Eisenstein series and global Arthur packets, Number Theory Seminar, Southern University of Science and Technology, Shenzhen, China, 29 June, 2022.
• Theta correspondence and poles of Eisenstein series, Representation Theory Seminar, University of Melbourne, Melbourne, Australia, 5 May, 2022.
• Automorphic Representations and Theta Correspondence, Frontiers in Representation Theory Workshop, Mathematical Research Institute (MATRIX), Creswick, Australia, 15 Feb. 2022.
• Singular Forms, Theta Series, and Fourier-Jacobi Expansions, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 21 Oct. 2021.
• Introduction to Siegel Modular Forms, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 7 Oct. 2021.
• (χ, b)-factors of Arthur Parameters, Theta Correspondence and Periods for Unitary Groups, Number Theory Down Under 9, University of Sydney, Sydney, Australia, 28 Sept. 2021.
• Examples of Modular Forms: Eisenstein Series and the Discriminant Function, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 26 Aug. and 2 Sept. 2021.
• Endoscopic Lifting in the Symplectic Group Case, Automorphic Descent and Related Topics Seminar, University of Minnesota, USA, 17 Aug. 2021.
• Report on Lifting Puzzles and Congruences, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 8 July, 2021.
• Converse Theorem, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 3 June, 2021.
• (χ, b)-factors of Arthur Parameters, Theta Correspondence and Periods for Unitary Groups, Conference on Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy, CIRM, France, 24--28 May 2021.
• Review of Admissible Representations and Whittaker Models, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 22 Apr. 2021.
• Decomposition of Space of Cuspidal Functions: Compact Operators, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 25 Mar. 2021.
• Adelic Groups and Cuspidal Functions for GL(2), Number Theory Seminar, University of Melbourne, Melbourne, Australia, 18 Mar. 2021.
• Arthur Parameters, Theta Correspondence and Period Integrals for Metaplectic groups, Online Seminar, Sichuan University, China, 8 Jan. 2021.
• Local L-factors for GL(2), Number Theory Seminar, University of Melbourne, Melbourne, Australia, 9 Dec. 2020.
• Principal Series Representations, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 14 Oct. and 21 Oct. 2020.
• Introduction to Admissible Representations of GL(2) and Kirillov Model, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 19 Aug. 2020.
• p-adic L-functions, University of Melbourne, Melbourne, Australia, May 12, 2020.
• Rankin-Selberg Method (equal rank), Number Theory Seminar, University of Melbourne, Melbourne, Australia, 11 Nov. 2019.
• Eisenstein Series for GL(2), Number Theory Seminar, University of Melbourne, Melbourne, Australia, 28 Oct. 2019.
• Eisenstein Series following the book of Moeglin-Waldspurger, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 21 Oct. 2019.
• Arthur parameters, Theta Correspondence and Period Integrals, Algebra Seminar, University of Sydney, Sydney, Australia, 4 Oct. 2019.
• Local Langlands Correspondence for GL(2), Representation Theory Seminar, University of Melbourne, Melbourne, Australia, 3 Sept. 10 Sept. and 17 Sept. 2019.
• Introduction to automorphic forms, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 26 Aug. and 2 Sept. 2019.
• Classical modular forms, Number Theory Seminar, University of Melbourne, Melbourne, Australia, 19 Aug. 2019.
• Minicourse on Eisenstein Series at Summer school on Langlands program and automorphic representation, Soochow University, Suzhou, China, 8--12 July, 2019.
• Harish-Chandra Isomorphism, Number theory seminar, University of Melbourne, Melbourne, Australia, 15 May, 2019.
• Local Descent Construction and Theta Correspondence, Representation theory seminar, University of Melbourne, Melbourne, Australia, 9 Apr. 2019.
• Arthur parameters, Theta Correspondence and Period Integrals, Number Theory Down Under 6, University of New South Wales, Canberra, Australia, 24--27 Sept. 2018.
• Arthur parameters, Theta Correspondence and Period Integrals, University of Melbourne, Melbourne, Australia, 31 Aug. 2018.
• Lunch Seminar Talk: Periods and Arthur Parameters, Fudan University, Shanghai, China, 23 Mar. 2018.
• Moduli spaces of virtual Abelian varieties, University of Melbourne, Melbourne, Australia, 5 Feb. 2018.
• Theta correspondence, period integrals and Arthur parameters, Westlake Institute for Advanced Studies, Hangzhou, China, 17 Dec. 2017.
• Virtual Abelian Varieties of GL(2)-type, Fudan University, Shanghai, China, 12 July, 2017.
• Period Integrals, L-functions and (χ, b)-theory, Beijing International Center for Mathematical Research, Beijing, China, 3 July, 2017.
• Virtual Abelian Varieties of GL(2)-type, Fudan University, Shanghai, China, 8 June, 2017.
• Period Integrals, L-functions and (χ, b)-theory, National University of Singapore, Singapore, 19 Apr. 2017.
• Period Integrals, L-functions and (χ, b)-theory, Xiamen University, Xiamen, China, 8 Mar. 2017.
• Theta Correspondence, Periods and (χ, b)-theory, Zhejiang University, Hangzhou, China, 11 Sept. 2016.
• Periods and (χ, b)-theory, Taida Institute for Mathematical Sciences, Taipei, China, 2 Aug. 2016.
• Weil Conjectures for Abelian Varieties, Taida Institute for Mathematical Sciences, Taipei, China, 19 July and 26 July, 2016.
• Involutive Property of Theta Correspondence, Shanghai Center for Mathematical Sciences, Shanghai, China, 1 Apr. 2016.
• Theta correspondence, periods and Arthur Parameters, Conference on Eisenstein Series on Kac-Moody Groups and Applications to Physics at KIAS, Seoul, South Korea, 16 Nov. 2015.
• Local Jacquet-Langlands Correspondence, Shanghai Center for Mathematical Sciences, Shanghai, China, 22 Sept. 2015.
• Theta correspondence, periods and L-functions, Morningside Center of Mathematics, Beijing, China, 17 July and 19 July, 2015.
• Theta correspondence, periods and Arthur Parameters, University of Missouri, Columbia, MO, USA, 21 Apr. 2015.
• Theta correspondence, periods and L-functions, Part III, University of Minnesota, Minneapolis, MN, USA, 27 Feb. 2015.
• Theta correspondence, periods and L-functions, Part II, University of Minnesota, Minneapolis, MN, USA, 13 Feb. 2015.
• Theta correspondence, periods and L-functions, Part I, University of Minnesota, Minneapolis, MN, USA, 6 Feb. 2015.
• Some applications of the Arthur trucation method, University of Minnesota, Minneapolis, MN, USA, 14 Nov. 2014.
• Periods and (χ, b)-factors of cuspidal automorphic forms of symplectic groups, University of Minnesota, Minneapolis, MN, USA, 7 Nov. 2014.
• On Gan-Gross-Prasad Conjecture, University of Minnesota, Minneapolis, MN, USA, 1 Nov. and 8 Nov. 2013.
• Virtual Abelian Varieties of GL₂-type, Max-Planck-Institut für Mathematik, Bonn, Germany, 6 Dec. 2012.
• Rallis Inner Product Formula, University of Wisconsin-Madison, Madison, WI, USA, 12 Apr. 2012.
• Theta correspondence for unitary groups, University of Minnesota, Minneapolis, MN, USA, 27 Jan. 3 Feb. 2 Mar. and 23 Mar. 2012.
• Rallis Inner Product Formula for Mp(2n) and O(2n + 1), University of Minnesota, Minneapolis, MN, USA, 7 Oct. 2011.
• Moduli space of virtual Abelian varieties, Yale University, New Haven, CT, USA, 25 Jan. 2011.

Conferences, Workshops and Short Visits

• 24 Hours of Theta, National University of Singapore, 9--12 Sept. 2024.
• Workshop on algebra and arithmetic, Southern University of Science and Technology, Shenzhen, China, 28 June--1 July, 2024.
• HKU Number Theory Days, the University of Hong Kong, China, 25--28 June, 2024.
• Visiting Professor Chu-Feng Nien, Hunan Normal University, Changsha, China, 17 Nov.--14 Dec. 2023
• Visiting Professor Yifeng Liu, IASM, Zhejiang University, China, 11--16 Nov. 2023
• Worshop on Arthur packets, Hangzhou, China, 5--10 Nov. 2023
• Formes automorphes, endoscopie et formule des traces (Automorphic forms, endoscopy and trace formulas), CIRM, France, (remote), 18--22 Sept. 2023
• Workshop on the BSD Conjecture and special values of L-functions, 天元数学国际交流中心, China, 10--14 July, 2023.
• Shimura Varieties and L-Functions, SLMATH/MSRI, USA, 13--17 Mar. 2023.
• Visiting Professor Lei Zhang (张磊), National University of Singapore, Singapore, 2--30 Jan. 2023.
• Representation Theory, Combinatorics and Geometry, National University of Singapore, Singapore, 2--7 Jan. 2023.
• AustMS 2022, UNSW Sydney, Australia, 6--9 Dec. 2022.
• Number Theory Down Under 10, the University of Queensland, Brisbane, Australia, 26--29 Sept. 2022.
• Minimal Representations and Theta Correspondence, Erwin Schrödinger International Institute for Mathematics and Physics (ESI), Vienna, Austria, 11--15 Apr. 2022.
• Frontiers in Representation Theory, Mathematical Research Institute (MATRIX), Creswick, Australia, 14--25 Feb. 2022.
• Number Theory Down Under 9, University of Sydney, Sydney, Australia, 27--29 Sept. 2021.
• Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy, CIRM, France, 24--28 May 2021.
• KAST International Symposium on "Periods of Automorphic Forms", KAST, South Korea, 27--28 Feb. 2021.
• Number Theory Down Under 8, University of Melbourne, 6--8 Oct. 2020.
• Conference on Associated varieties and unipotent representations, Peking University, 1--6, Sept. 2020.
• Number Theory Online Conference - NTOC2020, the University of Newcastle, 3--5, June, 2020.
• Number Theory Down Under 7, University of New South Wales, Sydney, Australia, 30 Sept.--3 Oct. 2019.
• Workshop on Harmonic Analysis and Lie Group Representations, Xiamen University, Xiamen, China, 4--9 Aug. 2019.
• Workshop on Langlands program and automorphic representation, Soochow University, Suzhou, China, 8--26 July, 2019. Summer school and conference.
• Langlands Program: Endoscopy and Beyond, Institute for Mathematical Sciences, National University of Singapore, Singapore, 17 Dec. 2018--18 Jan. 2019.
• Langlands functoriality, L-functions and Trace formula workshop, Tsinghua Sanya International Mathematics Forum, Sanya, China, 17--21 Dec. 2018.
• Number Theory Down Under 6, University of New South Wales, Canberra, Australia, 24--27 Sept. 2018.
• Automorphic Forms and L-functions, a Conference in Celebration of Dorian Goldfeld's 71st Birthday, Qingdao Campus of Shandong University, Qingdao, China, 18--22 June, 2018.
• Workshop on "Automorphic Forms, Geometry and Representation Theory", Zhejiang University, Hangzhou, China, 4--8 June, 2018.
• Number Theory Seminar, Westlake Institute for Advanced Studies, Hangzhou, China, 21--22 Apr. 2018.
• Wei Zhang's Talks, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China, 2--12 Jan. 2018.
• 2017--2018 Young Mathematician Forum, Fudan University, Shanghai, China, 17--19 Dec. 2017.
• Number Theory Seminar, Westlake Institute for Advanced Studies, Hangzhou, China, 16--17 Dec. 2017.
• Visiting Professor Shou-Wu Zhang (张寿武), Princeton University, Princeton, NJ, USA, 1 Oct.--30 Nov. 2017.
• Summer School on Shimura Varieties and Related Topics, Morningside Center for Mathematics, Beijing, China, 11--22 Sept. 2017.
• Morningside Center for Mathematics, Beijing, China, 17--25 Aug. 2017.
• Morningside Center for Mathematics, Beijing, China, 3--9 Aug. 2017.
• Workshop on Automorphic Forms and Automorphic Representations, Shanghai Center for Mathematical Sciences, Shanghai, China, 10--12 July, 2017.
• Workshop on Lie Group Representations and Automorphic Forms, Beijing International Center for Mathematical Research, Beijing, China, 3--8 July 2017.
• FUDAN-KAIST Joint Workshop on Algebra and Geometry, Shanghai, China, 6--10 June, 2017.
• Representation Theory and Number Theory Workshop, National University of Singapore, Singapore, 17--20 Apr. 2017.
• 2017 Young Mathematician Forum, Fudan University, Shanghai, China, 27 Feb.--2 Mar. 2017.
• Visiting Professor Dihua Jiang (江迪华), Zhejiang University, Hangzhou, China, 7--10 Oct. 2016.
• Workshop on Number Theory at Zhejiang University, Hangzhou, China, 10--12 Sept. 2016.
• Taida Institute for Mathematical Sciences, Taipei, China, Visiting Professor Chang-Shou Lin (林長壽), 17 July--7 Aug. 2016.
• Jean-Morlet Chair Research School and Conference on Relative Trace Formula, Periods, L-functions, Harmonic Analysis and Langlands Functoriality, CIRM, Marseille, France, 16--27 May, 2016.
• Eisenstein Series on Kac-Moody Groups and Application to Physics, KIAS, Seoul, South Korea, 12--20 Nov. 2015.
• Workshop on Number Theory, Morningside Center for Mathematics, Beijing, China, 16--31 July, 2015.
• Past events are omitted, largely because I did not keep track.

Employment and Visiting Positions

• Senior Lecturer, School of Mathematics and Statistics, University of Melbourne, Sept. 2023--present.
• Lecturer, School of Mathematics and Statistics, University of Melbourne, Aug. 2018--Sept. 2023.
• Young Investigator, Shanghai Center for Mathematical Sciences (上海数学中心), Sept. 2015--Aug. 2018.
• Dunham Jackson Assistant Professor, University of Minnesota, 29 Aug. 2011--24 May, 2015, mainly working with Professor Dihua Jiang (江迪华).
• Visiting Max-Planck Institute for Mathematics, 1 Sept. 2012--31 Aug. 2013.

Education

• Ph.D. Mathematics, Columbia University, 2006--2011, Thesis Advisor: Professor Shou-Wu Zhang (张寿武).
• B.S. Mathematics, Fudan (复旦) University, 2002--2006.

Miscellaneous

• My struggles and solution for making lecture videos
• A tool: Add page number to pdf and combine pdf
• My Firefox Extension for accessing academic papers via university ezproxy
• How to Disable Bing's Auto Translation
• LaTeX Challenges