**Email:** chenyan.wu "at" unimelb.edu.au

**Office:** Peter Hall Building 208

**Mailing Address:**

School of Mathematics and Statistics

The University of Melbourne

Victoria, 3010, Australia

## Teaching

- 2024 Semester 1, MAST90136 Algebraic Number Theory. Information is maintained on Canvas.
- 2023 Semester 2, MAST10005 Calculus 1. Information is maintained on Canvas.
- 2023 Semester 1, MAST20009 Vector Calculus. Information is maintained on Canvas.
- 2022 Semester 2, MAST20009 Vector Calculus. Information is maintained on Canvas.
- 2022 Semester 2, MAST10005 Calculus 1. Information is maintained on Canvas.
- 2021 Semester 2, MAST90017 Representation Theory.
- 2021 Semester 2, MAST10005 Calculus 1. Information is maintained on Canvas.
- 2020 Semester 2, MAST10007 Linear Algebra. Information is maintained on Canvas.
- 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

## 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

- Theta correspondence and simple factors in global Arthur parameters. Algebra and Number Theory. Accepted/In Press. arXiv:2208.06566.
- Poles of Eisenstein series and theta lifts for unitary groups. Pacific Journal of Mathematics 317-1 (2022), 207–237. arXiv:2104.11954.
- Periods and (
`χ`,`b`)-factors of Cuspidal Automorphic Forms of Metaplectic Groups. Journal of Number Theory, 241:262–296, 2022. arXiv:2002.08551. -
Virtual Abelian Varieties of GL
_{2}-type. Mathematical Research Letters.Volume 27 (2020), no. 3, 903-944. arXiv:1507.03069. - 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. - A Critical Case of Rallis Inner Product Formula. Sci. China Math. 60 (2017), no. 2, 201–222. arXiv:1603.04123.
- 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. - Irreducibility of Theta Lifting for Unitary Groups. J. Number Theory, 133(10):3296–3318, 2013. arXiv:1409.0770.
- Classification of Small Covers over Prisms up to Equivariant Cobordism. Adv. Math. (China), 37(5):584–590, 2008.

## Students

- 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.- Understand Class Field Theory. This is the GL
_{1}-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

- 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 GL
_{2}-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(2
`n`) and O(2`n`+ 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

- 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

- Lecturer, School of Mathematics and Statistics, University of Melbourne, Aug. 2018--present.
- 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.