Jun Yu


Assistant Professor

Beijing International Center for Mathematical Research

Jingchunyuan Courtyard 78, Peking University
5 Yiheyuan Road

Office: 78402

Email: junyu@bicmr.pku.edu.cn



I am currently employed as assistant professor at Beijing International Center for Mathematical Research in Peking University. Before it I was a postdoc in IAS (Jan. 2013-June 2014) and MIT (July 2014-June 2015). I obtained my Ph.D in mathematics from ETH Zurich, finished in December 2012.

Curriculum Vitae pdf

Research Interests Lie groups, representation theory, automorphic forms.

Publications

  1. (with Lifan Guan) Weighted badly approximable vectors and games. IMRN.

  2. Maximal abelian subgroups of compact simple Lie groups of type E. Geom. Dedicata 185 (2016), 205–269.

  3. On the dimension datum of a subgroup. Duke Math. J. 165 (2016), no. 14, 2683-2736.

  4. (with Robert Guralnick and Frank Lubeck) Rational rigidity for F4(p). Adv. Math. 302 (2016), 48–58.

  5. A compactness result for dimension datum. IMRN 2015, no. 19, 9438–9449.

  6. (with Brent Doran) Algebraic vector bundles on punctured affine spaces and smooth quadrics. Adv. Math. 257 (2014), 337–348.

  7. Elementary abelian 2-subgroups of compact Lie groups. Geom. Dedicata 167 (2013), 245–293.

  8. (with Jing-Song Huang) Klein four-subgroups of Lie algebra automorphisms. Pacific J. Math. 262 (2013), no. 2, 397-420.

  9. (with Jinpeng An and Jiu-Kang Yu) On the dimension datum of a subgroup and its application to isospectral manifolds. JDG 94 (2013), no. 1, 59-85.

  10. (with Jianxin Chen, et al) Existence of universal entangler. J. Math. Phys. 49 (2008), no. 1.

Preprints

  1. (with Gang Liu) A geometric interpretation of Kirillov’s conjecture. Preprint, arXiv:1806.06318.

  2. Acceptable compact Lie groups. Preprint, arXiv:1806.06316.

  3. Twisted root systems of a (*)-subgroup. Preprint, arXiv:1805.06330.

  4. Maximal antipodal sets in irreducible compact symmetric spaces. Preprint, arXiv:1803.06218.

  5. On the dimension datum of a subgroup. II. Preprint, arXiv:1803.06210.

Teaching

  • Fall 2018, Basic Number Theory (quadratic forms and modular forms), Peking University.

  • Spring 2018, Functional Analysis, Peking University.

  • Fall 2017, Abstract Algebra, Peking University.

  • Spring 2017, Theory of Complex Functions (of one variable), Peking University.

  • Fall 2016, Algebraic Geometry II (geometric invariant theory), Peking University.

  • Fall 2015, Commutative Algebra, Peking University.

Links PKU, BICMR, arXiv, AMS.