## Chen An Student

I am a third year Ph.D. student in the Department of Mathematics, Duke University. My research interest is in number theory, especially in the analytic side. My advisor is Lillian Pierce.

Research:
1. An, Chen. "$\ell$-torsion in class groups of certain families of $D_4$-quartic fields." arXiv preprint arXiv:1808.02148 (2018); submitted for publication.

Invited visits:
1. Short term visitor at the Institute for Advance Study, March 12-15, 2018.
2. Visitor at the Hausdorff Center for Mathematics, June 30-July 7, 2018.

Presentations
1. l-torsion in class groups of certain families of D4-quartic fields, The Palmetto Number Theory Series (PANTS) XXXI
2. l-torsion in class groups of certain families of D4-quartic fields, The Seventh Triangle Area Graduate Mathematics Conference
3. A Chebotarev density theorem for certain families of D4-quartic fields, Duke University Graduate/faculty Seminar
4. An effective Chebotarev density theorem for families of number fields, Nankai University Undergraduate Forum
5. Classical Themes on the Langlands Program, Nankai University Undergraduate Forum

Conference:
1. Palmetto Number Theory Series (PANTS) XXXI, December 8-9, 2018, University of South Carolina, Columbia, SC, USA
2. The Seventh Triangle Area Graduate Mathematics Conference, November 3, 2018, Duke University, Durham, NC
3. Connecticut Number Theory (CTNT) 2018 Conference , June 1-3, 2018, University of Connecticut at Storrs, USA

Summer School:
1. CMI-LMS Research School: New Trends in Analytic Number Theory 2018 , August 13-17, 2018, University of Exeter, Exeter, UK
2. Hausdorff Summer School: L-functions, Open Problems and Current Methods , June 25-29, 2018, Hausdorff Center for Mathematics, University of Bonn, Germany
3. Summer School: Zeta Functions, Polyzeta Functions, Arithmetical Series: Applications to Motives and Number Theory ZETAS2018 , June 18-29, 2018, Chambéry, Univ. Savoie Mont Blanc, France
4. Connecticut Summer School in Number Theory , May 28-June 3, 2018, University of Connecticut at Storrs, USA

### Current Research Interests

Analytic number theory, L-functions, algebraic number theory

• Expertise