**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

- 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: 2021 seminars, 2020 seminars, 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. 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.

## 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.

## Students

- 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–present.
- Yiannis Fam, MPhil student (co-supervised with Alex Ghitza), University of Melbourne, Australia, 2022S1–present.
- 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.

## Talks

- 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, Jan. 8, 2021.
- Local L-factors for GL(2), Number Theory Seminar, University of Melbourne, Melbourne, Australia, Dec. 9, 2020.
- Principal Series Representations, Number Theory Seminar, University of Melbourne, Melbourne, Australia, Oct. 14 and Oct. 21, 2020.
- Introduction to Admissible Representations of GL(2) and Kirillov Model, Number Theory Seminar, University of Melbourne, Melbourne, Australia, Aug. 19, 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, Nov. 11, 2019.
- Eisenstein Series for GL(2), Number Theory Seminar, University of Melbourne, Melbourne, Australia, Oct. 28, 2019.
- Eisenstein Series following the book of Moeglin-Waldspurger, Number Theory Seminar, University of Melbourne, Melbourne, Australia, Oct. 21, 2019.
- Arthur parameters, Theta Correspondence and Period Integrals, Algebra Seminar, University of Sydney, Sydney, Australia, Oct. 4, 2019.
- Local Langlands Correspondence for GL(2), Representation Theory Seminar, University of Melbourne, Melbourne, Australia, Sept. 3, Sept. 10 and Sept. 17, 2019.
- Introduction to automorphic forms, Number Theory Seminar, University of Melbourne, Melbourne, Australia, Aug. 26 and Sept. 2, 2019.
- Classical modular forms, Number Theory Seminar, University of Melbourne, Melbourne, Australia, Aug. 19, 2019.
- Minicourse on Eisenstein Series at Summer school on Langlands program and automorphic representation, Soochow University, Suzhou, China, July 8 - 12, 2019.
- Harish-Chandra Isomorphism, Number theory seminar, University of Melbourne, Melbourne, Australia, May 15, 2019.
- Local Descent Construction and Theta Correspondence, Representation theory seminar, University of Melbourne, Melbourne, Australia, Apr. 9, 2019.
- Arthur parameters, Theta Correspondence and Period Integrals, Number Theory Down Under 6, University of New South Wales, Canberra, Australia, Sept. 24 - 27, 2018.
- Arthur parameters, Theta Correspondence and Period Integrals, University of Melbourne, Melbourne, Australia, Aug. 31, 2018.
- Lunch Seminar Talk: Periods and Arthur Parameters, Fudan University, Shanghai, China, Mar. 23, 2018.
- Moduli spaces of virtual Abelian varieties, University of Melbourne, Melbourne, Australia, Feb. 5, 2018.
- Theta correspondence, period integrals and Arthur parameters, Westlake Institute for Advanced Studies, Hangzhou, China, Dec. 17, 2017.
- Virtual Abelian Varieties of GL(2)-type, Fudan University, Shanghai, China, July 12, 2017.
- Period Integrals,
`L`-functions and (`χ`,`b`)-theory, Beijing International Center for Mathematical Research, Beijing, China, July 3, 2017. - Virtual Abelian Varieties of GL(2)-type, Fudan University, Shanghai, China, June 8, 2017.
- Period Integrals,
`L`-functions and (`χ`,`b`)-theory, National University of Singapore, Singapore, Apr. 19, 2017. - Period Integrals,
`L`-functions and (`χ`,`b`)-theory, Xiamen University, Xiamen, China, Mar. 8, 2017. - Theta Correspondence, Periods
and (
`χ`,`b`)-theory, Zhejiang University, Hangzhou, China, Sept. 11, 2016. - Periods
and (
`χ`,`b`)-theory, Taida Institute for Mathematical Sciences, Taipei, China, Aug. 2, 2016. - Weil Conjectures for Abelian Varieties, Taida Institute for Mathematical Sciences, Taipei, China, July 19 and July 26, 2016.
- Involutive Property of Theta Correspondence, Shanghai Center for Mathematical Sciences, Shanghai, China, April. 1, 2016.
- Theta correspondence, periods and Arthur Parameters, Conference on Eisenstein Series on Kac-Moody Groups and Applications to Physics at KIAS, Seoul, South Korea, Nov. 16, 2015.
- Local Jacquet-Langlands Correspondence, Shanghai Center for Mathematical Sciences, Shanghai, China, Sept. 22, 2015.
- Theta correspondence, periods
and
`L`-functions, Morningside Center of Mathematics, Beijing, China, July 17 and July 19, 2015. - Theta correspondence, periods and Arthur Parameters, University of Missouri, Columbia, MO, USA, Apr. 21, 2015.
- Theta correspondence, periods
and
`L`-functions, Part III, University of Minnesota, Minneapolis, MN, USA, Feb. 27, 2015. - Theta correspondence, periods
and
`L`-functions, Part II, University of Minnesota, Minneapolis, MN, USA, Feb. 13, 2015. - Theta correspondence, periods
and
`L`-functions, Part I, University of Minnesota, Minneapolis, MN, USA, Feb. 6, 2015. - Some applications of the Arthur trucation method, University of Minnesota, Minneapolis, MN, USA, Nov. 14, 2014.
- Periods
and (
`χ`,`b`)-factors of cuspidal automorphic forms of symplectic groups, University of Minnesota, Minneapolis, MN, USA, Nov. 7, 2014. - On Gan-Gross-Prasad Conjecture, University of Minnesota, Minneapolis, MN, USA, Nov. 1 and Nov. 8, 2013.
- Virtual Abelian Varieties
of GL
_{2}-type, Max-Planck-Institut für Mathematik, Bonn, Germany, Dec. 6, 2012. - Rallis Inner Product Formula, University of Wisconsin-Madison, Madison, WI, USA, Apr. 12 2012.
- Theta correspondence for unitary groups, University of Minnesota, Minneapolis, MN, USA, Jan. 27, Feb. 3, Mar. 2 and Mar. 23, 2012.
- Rallis Inner Product Formula
for Mp(2
`n`) and O(2`n`+ 1), University of Minnesota, Minneapolis, MN, USA, Oct. 7, 2011. - Moduli space of virtual Abelian varieties, Yale University, New Haven, CT, USA, Jan. 25, 2011.

## Conferences, Workshops and Short Visits

- 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, Sept. 30 - Oct. 3, 2019.
- Workshop on Harmonic Analysis and Lie Group Representations, Xiamen University, Xiamen, China, Aug. 4 - 9, 2019.
- Workshop on Langlands program and automorphic representation, Soochow University, Suzhou, China, July 8 - 26, 2019. Summer school and conference.
- Langlands Program: Endoscopy and Beyond, Institute for Mathematical Sciences, National University of Singapore, Singapore, Dec. 17, 2018 - Jan. 18, 2019.
- Langlands functoriality, L-functions and Trace formula workshop, Tsinghua Sanya International Mathematics Forum, Sanya, China, Dec. 17 - 21, 2018.
- Number Theory Down Under 6, University of New South Wales, Canberra, Australia, Sept. 24 - 27, 2018.
- Automorphic Forms and L-functions, a Conference in Celebration of Dorian Goldfeld's 71st Birthday, Qingdao Campus of Shandong University, Qingdao, China, June 18 - 22, 2018.
- Workshop on "Automorphic Forms, Geometry and Representation Theory", Zhejiang University, Hangzhou, China, June 4 - 8, 2018.
- Number Theory Seminar, Westlake Institute for Advanced Studies, Hangzhou, China, Apr. 21 - 22, 2018.
- Wei Zhang's Talks, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China, Jan. 2 - 12, 2018.
- 2017 - 2018 Young Mathematician Forum, Fudan University, Shanghai, China, Dec. 17 - 19, 2017.
- Number Theory Seminar, Westlake Institute for Advanced Studies, Hangzhou, China, Dec. 16 - 17, 2017.
- Visiting Professor Shou-Wu Zhang (张寿武), Princeton University, Princeton, NJ, USA, Oct. 1 - Nov. 30, 2017.
- Summer School on Shimura Varieties and Related Topics, Morningside Center for Mathematics, Beijing, China, Sept. 11 - 22, 2017.
- Morningside Center for Mathematics, Beijing, China, Aug. 17 - 25, 2017.
- Morningside Center for Mathematics, Beijing, China, Aug. 3 - 9, 2017.
- Workshop on Automorphic Forms and Automorphic Representations, Shanghai Center for Mathematical Sciences, Shanghai, China, July 10 - 12, 2017.
- Workshop on Lie Group Representations and Automorphic Forms, Beijing International Center for Mathematical Research, Beijing, China, July 3 - 8, 2017.
- FUDAN-KAIST Joint Workshop on Algebra and Geometry, Shanghai, China, June 6 - 10, 2017.
- Representation Theory and Number Theory Workshop, National University of Singapore, Singapore, Apr. 17 - 20, 2017.
- 2017 Young Mathematician Forum, Fudan University, Shanghai, China, Feb. 27 - Mar. 2, 2017.
- Visiting Professor Dihua Jiang (江迪华), Zhejiang University, Hangzhou, China, Oct. 7 - 10, 2016.
- Workshop on Number Theory at Zhejiang University, Hangzhou, China, Sept. 10 - 12, 2016.
- Taida Institute for Mathematical Sciences, Taipei, China, Visiting Professor Chang-Shou Lin (林長壽), July 17 - Aug. 7, 2016.
- Jean-Morlet Chair Research School and Conference on Relative Trace Formula, Periods,
`L`-functions, Harmonic Analysis and Langlands Functoriality, CIRM, Marseille, France, May 16 - 27, 2016. - Eisenstein Series on Kac-Moody Groups and Application to Physics, KIAS, Seoul, South Korea, Nov. 12 - 20, 2015.
- Workshop on Number Theory, Morningside Center for Mathematics, Beijing, China, July 16 - 31, 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, Aug. 29, 2011 - May 24, 2015, mainly working with Professor Dihua Jiang (江迪华).
- Visiting Max-Planck Institute for Mathematics, Sept. 1, 2012 - Aug. 31, 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.