## 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@math.umd.edu

Phone: +1 301-405-5072

### Research

Much of my 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

I am a founding member of CURVE, http://curve.unhyperbolic.org/
Curriculum Vitae

### Publications and preprints

- C. Zickert,
Polylogarithms, Bloch complexes, and quiver mutations,
arXiv:1902.03971
- J. Cho, S. Yoon, C. Zickert,
On the Hikami Inoue conjecture, Algebr. Geom. Topol., to appear,
arXiv:1805.11841
- C. Zickert,
Fock-Goncharov coordinates for rank 2 Lie groups, Math. Z., to appear,
arXiv:1605.08297
- M. Goerner, C. Zickert,
Triangulation independent Ptolemy varieties, Math. Z. 289 (2018), 663–693, DOI:10.1007/s00209-017-1970-4,
arXiv:1507.03238
- S. Garoufalidis, C. Zickert,
The symplectic properties of the PGL(n,C)-gluing equations, Quantum Topol. 7 (2016), no. 3, 505–551, arXiv:1310.2497
- C. Zickert,
Ptolemy coordinates, Dehn invariant and the A-polynomial, Math. Z. 283 (2016), 515–537, DOI:10.1007/s00209-015-1608-3, arXiv:1405.0025
- 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,
arXiv:1111.2828
- C. Zickert,
The extended Bloch group and algebraic K-theory,
J. Reine Angew. Math. 704 (2015), 21–54,
arXiv:0910.4005
- S. Garoufalidis, M. Goerner, C. Zickert,
Gluing equations for PGL(n,C)-representations of 3-manifolds, Algebr. Geom. Topol. 15 (2015), 565–622,
arXiv:1207.6711
- S. Garoufalidis, M. Goerner, C. Zickert,
The Ptolemy field of 3-manifold representations, Algebr. Geom. Topol. 15 (2015), 371–397,
arXiv:1401.5542
- C. Zickert,
The volume and Chern-Simons invariant of a representation,
Duke Math. J. 150 (2009), no. 3, 489–532, arXiv:0710.2049
- 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.