## Christian Zickert

Assistant 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,
Fock-Goncharov coordinates for rank 2 Lie groups,
math.GT/1605.08297
- M. Goerner, C. Zickert,
Triangulation independent Ptolemy varieties,
math.GT/1507.03238
- C. Zickert,
Ptolemy coordinates, Dehn invariant and the A-polynomial, Math. Z. 283 (2016) 515-537, DOI:10.1007/s00209-015-1608-3
- S. Garoufalidis, C. Zickert,
The symplectic properties of the PGL(n,C)-gluing equations, Quantum Topol., to appear,
math.GT/1310.2497
- S. Garoufalidis, D. Thurston, C. Zickert,
The complex volume of SL(n,C)-representations of 3-manifolds,
Duke Math. J. 164 no. 11 (2015) 2099–2160,
math.GT/1111.2828
- C. Zickert,
The extended Bloch group and algebraic K-theory,
J. Reine Angew. Math., 704 (2015) 21–54,
math.KT/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,
math.GT/1207.6711
- S. Garoufalidis, M. Goerner, C. Zickert,
The Ptolemy field of 3-manifold representations, Algebr. Geom. Topol., 15 (2015) 371–397,
math.GT/1401.5542
- C. Zickert,
The volume and Chern-Simons invariant of a representation,
Duke Math. J. 150 no. 3 (2009) 489–532, math.GT/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

Spring 2016:

- Topics course on scissors congruence and invariants of 3-manifolds, Math 848

Course information can be found by logging into canvas.