Charlotte Chan



About Me

I am a graduate student in the math department at the University of Michigan in Ann Arbor. My advisor is Kartik Prasanna.

Here is a photo of me in front of the statue at Oberwolfach in April 2016.

I am interested in representation theory, number theory, and algebraic geometry.

In the 2017-2018 academic year, I will be supported by a Rackham Predoctoral Fellowship.

Past Updates

I am organizing a learning seminar on Borcherds products with Brandon Carter in Winter 2016.

I will be at Princeton University during Spring 2015.

Contact Info

Email: charchan [at] umich [dot] edu
Mail: Department of Mathematics
University of Michigan, Ann Arbor
2074 East Hall
530 Church Street
Ann Arbor, MI 48109

Office: East Hall 5080

Publications/Preprints

(Published or arXiv versions may differ from the local versions.)

  1. Affine Deligne--Lusztig varieties at infinite level (joint with A. Ivanov)
    (pdf, 44 pages)

    We construct an inverse limit of covers of affine Deligne--Lusztig varieties for GLn (and its inner forms), and prove that it is isomorphic to the semi-infinite Deligne--Lusztig variety. We then calculate its cohomology and make a comparison with automorphic induction.

    Preliminary version. November 2017.

  2. The cohomology of semi-infinite Deligne-Lusztig varieties
    (pdf, 42 pages)

    We prove a 1979 conjecture of Lusztig on the cohomology of semi-infinite Deligne--Lusztig varieties attached to division algebras over local fields. We also prove the two conjectures of Boyarchenko on these varieties.

    Submitted.

    arXiv:1606.01795

  3. Deligne-Lusztig constructions for division algebras and the local Langlands correspondence, II
    (pdf, 31 pages)

    We extend the results of arXiv:1406.6122 to arbitrary division algebras over an arbitrary non-Archimedean local field. We show that Lusztig's proposed p-adic analogue of Deligne-Lusztig varieties gives a geometric realization of the local Langlands and Jacquet-Langlands correspondences.

    Submitted.

    arXiv:1505.07185

  4. Deligne-Lusztig constructions for division algebras and the local Langlands correspondence
    (pdf, 61 pages)

    We compute a cohomological correspondence between representations proposed by Lusztig in 1979 and show that for quaternion algebras over a local field of positive characteristic, this correspondence agrees with that given by the local Langlands and Jacquet-Langlands correspondences.

    Adv. Math., 294 (2016), 332--383.

    arXiv:1406.6122


This webpage is largely based off of my friend Zev Chonoles's webpage. A huge thank you to him for allowing me to use his html and css code!