Jiangwei Xue Curriculum Vitae Associate Professor, Collaborative Innovation Centre of Mathematics, School of Mathematics and Statistics, Wuhan University, Luojiashan, Wuchang, Wuhan, Hubei, 430072, P.R. China. E-mail address: xue [email protected] EDUCATION • Pennsylvania State University, Department of Mathematics, University Park, PA, USA. Sep, 2004 { Aug, 2010 Doctor of Philosophy Thesis: The endomorphism algebras and Hodge groups of certain su- perelliptic Jacobians Advisor: Yuri G. Zarhin • Nanjing University, Department of Mathematics, Nanjing, China Sep, 2000 { June, 2004 Bachelor of Science EMPLOYMENT: • Post-doctoral Researcher, National Center for Theoretical Sciences, Math. Division, Hsinchu, Taiwan. Aug, 2010 { July, 2012 Advisor: Wen-Ching Winnie Li • Post-doctor, Institute of Mathematics, Academia Sinica, Taipei, Taiwan. Aug, 2012 { July, 2014 Advisor: Chia-Fu Yu • Associate Professor, Collaborative Innovation Centre of Mathemat- ics, School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. China Since Aug, 2014 1 RESEARCH INTERESTS: • Number Theory, Arithmetic Geometry • Abelian varieties, Shimura varieties. A major theme of my research is the employment of number theory and group representation theory in the determination of structures of abelian varieties, such as their endomorphism rings, Mumford-Tate groups, Newton polygons, etc. I am also actively seeking to broaden my research area to include the moduli space of abelian varieties and Shimura varieties. PUBLICATIONS AND PREPRINTS 1. Endomorphism algebras of Jacobians of certain superelliptic curves, J. Number Theory, 131 (2011), pp. 332{342. 2. Centers of Hodge groups of superelliptic Jacobians, joint with Yuri G. Zarhin, Transformation Groups, 15 (2010), no.2, 449{482. 3. Hodge groups of certain superelliptic Jacobians, joint with Yuri G. Zarhin, Math. Res. Lett. 17 (2010), no.2, 371{388. 4. Hodge groups of certain superelliptic Jacobians II, Math. Res. Lett. 18 (2011), no.4, 579{590. 5. Fixed points and homology of superelliptic Jacobians, joint with Haining Wang and Chia-Fu Yu, Math. Z. 278 (2014), no.1{2, 169{189. 6. Endomorphism algebras of factors of certain hypergeometric Jacobians, joint with Chia-Fu Yu, Trans. Amer. Math. Soc. 367 (2015), no. 11, 8071{8106. 7. Abelian varieties without a prescribed Newton polygon reduction, joint with Chia-Fu Yu, Proc. Amer. Math. Soc. 143 (2015), no. 6, 2339{ 2345. 8. Supersingular abelian surfaces and Eichler class number formula, joint with Tse-Chung Yang and Chia-Fu Yu, arXiv:1404.2978, submitted. 2 9. Xue, Jiangwei; Yang, Tse-Chung; Yu, Chia-Fu Numerical invariants p of totally imaginary quadratic Z[ p]-orders. Taiwanese J. Math. 20 (2016), no. 4, 723{741. 10. On Superspecial Abelian Surfaces over Finite Fields, Documenta Math. 21 (2016) 1607{1643. CONFERENCE ATTENDED • IMA PI summer Program for Graduate students: Applicable Algebraic Geometry at Texas University of A&M. July, 2007 • IAS/PCMI Graduate Summer School : The Arithmetic of L-functions at Park City, Utah. July, 2009 • Illnois Number theory Conference at University of Illinois Urbana- Champaign, May, 2010 • TIMS Winter School on Hodge Theory at Taida Institute for Mathe- matical Science, National Taiwan University. Jan, 2011 • Workshop on algebra and geometry, National Cheng Kung University, Apr, 2012 • Japan-Taiwan joint conference on number theory, National center for theoretical science, Aug, 2012 • International Congress of Chinese Mathematicians, National Taiwan University, July, 2013 TALKS • Hodge Groups of certain superelliptic Jacobians, Academia Sinica, Taipei, Aug 21st, 2010. • p-adic Analysis and the Zeta functions of a Hypersurface, NCTS Hsinchu, Aug 24th, 2010. • Hodge Groups of certain superelliptic Jacobians, NCTS Hsinchu, Sep 15th, 2010. 3 • Hodge structures and Mumford-Tate groups, Chulalongkorn University, Thailand, Jan 26th, 2011. • Hodge Groups of certain superelliptic Jacobians, Hong Kong University of Science and Technology, Jan 31st, 2011. • Introduction to ´etalefundamental group, NCTS Hsinchu, Feb 23, 2011. • Etale fundamental groups, lisse sheaves, and L-functions, NCTS Hsinchu, Mar 9, 2011. • Endomorphism algebra of certain superelliptic Jacobians, in Workshop on algebra and geometry, National Cheng Kung University, Apr 28, 2012. • Shimura curves as moduli spaces, NCTS Hsinchu, May 2, 2012. • Shimura curves as moduli spaces II, NCTS Hsinchu, May 9, 2012. • Canonical Models of Shimura curves, NCTS Hsinchu, May 30, 2012. • Canonical Models of Shimura curves II, NCTS Hsinchu, June 6, 2012. • Canonical Models of Shimura curves III, NCTS Hsinchu, June 13, 2012. • Endomorphism algebra of certain superelliptic Jacobians, Japan-Taiwan joint conference on number theory, NCTS Hsinchu, Aug 27, 2012. • Fixed points and Homology of superelliptic Jacobians, NCTS Hsinchu, Sep. 25, 2013. • Heights and the special values of L-series, Academia Sinica, March 18, 2014. • Honda-Tate theory and supersingular abelian varieties, Wuhan Univer- sity, Nov 4, 2014. • Mumford-Tate groups and related conjectures, Wuhan University, Dec 9, 2014. SHORT COURSES ON ADVANCED TOPICS 4 • Deligne's work on Weil conjectures, NCTS short course, March, 2011 • Etale Cohomology, NCTS number theory seminar, June { August, 2012. TEACHING EXPERIENCE I was a teaching assistant at Penn State from fall 2005 to August 2010. I taught the following undergraduate courses: • Math110: Techniques of Calculus I 4 semesters • Math141: Calculus with Analytic Geometry 1 semester • Math220: Matrices 3 semesters • Math230: Calculus and Vector Analysis 3 semesters I taught the following courses at Wuhan University in the fall semester of 2014: • Calculus E • Modern Mathematics 5.