---
title: "Bibliography"
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part: "Modular Arithmetic Geometry"
chapter: "Modular Forms over Imaginary Quadratic Fields"
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---

# Bibliography

<a id="cite-ash1977"></a>
- **[Ash77]** Avner Ash. Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones. *Math. Ann.*, 225(1):69–76, 1977.
<a id="cite-aunst"></a>
- **[Ash94]** Avner Ash. Unstable cohomology of ${\rm SL}(n,\cal O)$. *J. Algebra*, 167(2):330–342, 1994.
<a id="cite-borelserre"></a>
- **[BS73]** A. Borel and J.-P. Serre. Corners and arithmetic groups. *Comment. Math. Helv.*, 48:436–491, 1973. Avec un appendice: Arrondissement des variétés à coins, par A. Douady et L. Hérault.
<a id="cite-bygottthesis"></a>
- **[Byg99]** Jeremy Bygott. *Modular forms and modular symbols over imaginary quadratic fields*. PhD thesis, University of Exeter, 1999.
<a id="cite-cremonahyperbolic"></a>
- **[Cre84]** J. E. Cremona. Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields. *Compositio Math.*, 51(3):275–324, 1984.
<a id="cite-elstrodtgrunewaldmennicke"></a>
- **[EGM98]** J. Elstrodt, F. Grunewald, and J. Mennicke. *Groups acting on hyperbolic space*. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 1998. Harmonic analysis and number theory.
<a id="cite-gunnells1999"></a>
- **[Gun99]** Paul E. Gunnells. Modular symbols for ${\bf Q}$-rank one groups and Voronoi reduction. *J. Number Theory*, 75(2):198–219, 1999.
<a id="cite-gunnells2000"></a>
- **[Gun00]** Paul E. Gunnells. Computing Hecke eigenvalues below the cohomological dimension. *Experiment. Math.*, 9(3):351–367, 2000.
<a id="cite-koecher"></a>
- **[Koe60]** Max Koecher. Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I. *Math. Ann.*, 141:384–432, 1960.
<a id="cite-lsz"></a>
- **[LS78]** Ronnie Lee and R. H. Szczarba. On the torsion in $K\sb{4}({\bf Z})$ and $K\sb{5}({\bf Z})$. *Duke Math. J.*, 45(1):101–129, 1978.
<a id="cite-linghamthesis"></a>
- **[Lin05]** Mark Lingham. *Modular forms and elliptic curves over imaginary quadratic fields*. PhD thesis, University of Nottingham, 2005. http://etheses.nottingham.ac.uk/138/.
<a id="cite-whitleythesis"></a>
- **[Whi90]** Elise Whitley. *Modular symbols and elliptic curves over imaginary quadratic fields*. PhD thesis, University of Exeter, 1990.