## Christian Zickert

Associate Professor at the
Department of Mathematics,

at the University of Maryland, College Park.
Mailing address:

Department of Mathematics

Mathematics Building

University of Maryland

College Park, MD 20742-4015, USA

Office: Mathematics Building 4406

email:
zickert@umd.edu

Phone: +1 301-405-5072

### Research

My current research interests are polylogarithms and cluster algebras. Much of my earlier work is about representations of 3-manifold groups into linear groups. A database of such representations can be found at
http://curve.unhyperbolic.org/database.html

Curriculum Vitae

### Publications and preprints

Links are to the arXiv version, which may differ from the published version.
- Z. Greenberg, D. Kaufman, H. Li, C. Zickert,
Hopf algebras of multiple polylogarithms, and holomorphic 1-forms,
arXiv:2211.08337
- Z. Greenberg, D. Kaufman, H. Li, C. Zickert,
The Lie coalgebra of multiple polylogarithms,
J. Algebra 645 (2024), 164–182
- C. Zickert,
Holomorphic polylogarithms and Bloch complexes,
J. Reine Angew. Math. 797 (2023), 155–192
- J. Cho, S. Yoon, C. Zickert,
On the Hikami Inoue conjecture, Algebr. Geom. Topol. 20 (2020), 279–301
- C. Zickert,
Fock-Goncharov coordinates for rank 2 Lie groups, Math. Z. 294 (2020), 251–286
- M. Goerner, C. Zickert,
Triangulation independent Ptolemy varieties, Math. Z. 289 (2018), 663–693
- S. Garoufalidis, C. Zickert,
The symplectic properties of the PGL(n,C)-gluing equations, Quantum Topol. 7 (2016), no. 3, 505–551
- C. Zickert,
Ptolemy coordinates, Dehn invariant and the A-polynomial, Math. Z. 283 (2016), 515–537
- S. Garoufalidis, D. Thurston, C. Zickert,
The complex volume of SL(n,C)-representations of 3-manifolds,
Duke Math. J. 164 (2015), no. 11, 2099–2160
- C. Zickert,
The extended Bloch group and algebraic K-theory,
J. Reine Angew. Math. 704 (2015), 21–54
- S. Garoufalidis, M. Goerner, C. Zickert,
Gluing equations for PGL(n,C)-representations of 3-manifolds, Algebr. Geom. Topol. 15 (2015), 565–622
- S. Garoufalidis, M. Goerner, C. Zickert,
The Ptolemy field of 3-manifold representations, Algebr. Geom. Topol. 15 (2015), 371–397
- C. Zickert,
The volume and Chern-Simons invariant of a representation,
Duke Math. J. 150 (2009), no. 3, 489–532
- S. Goette, C. Zickert,
The extended Bloch group and the Cheeger-Chern-Simons class,
Geom. Topol. 11 (2007), 1623–1635
- J. Dupont, C. Zickert,
A dilogarithmic formula for the Cheeger-Chern-Simons class,
Geom. Topol. 10 (2006), 1347–1372

### Teaching

Course information can be found by logging into canvas.