**Frederick P. Gardiner**

**PUBLICATIONS
**

**Books:**

** Teichmueller Theory and Quadratic Differentials, ** John Wiley & Sons (1987).

**Quasiconformal Teichmueller Theory,** a book co-authored with Nikola Lakic, American Mathematical Society, Mathematical
Surveys and Monographs, **76** (2000).

**Articles :**

*E**xtremal length and uniformization*, Contemp. Math. Series, "In the tradition of Ahlfors-Bers VII," vol. 696 (2017) to appear.

*Guiding isotopies and holomorphic motions, *co-authored with Yunping Jiang and Zhe Wang, Arxiv: http://arxiv.org/abs/1304.7502, Ann. Acad. Scient. Fenn. Math. , 40 (2013) 485-501.

*Tracking moving points on a Riemann surface,* co-authored with Nikola Lakic,
Trans. Amer. Math. Soc., (2013) 1957-1975.

*Circle endomorphisms, dual circles and Thompson's group, *co-authored with Yunping Jiang, Contemp. Math. 573 (2012) 99-118.

*Holomorphic motions
and related topics,* co-authored with Junping Jiang and Zhe Wang, in *Geometry of Riemann Surfaces,* Lecture Notes of
the London Mathematics Society, 368 (2010) 156-193.

*A Synopsis of the Dirichlet Principle
for measured foliations ,* co-authored with Nikola Lakic, Kokyuroku Bessatsu 4, , Kyoto, (2009) 53-62.

A book review of **Hyperbolic Geometry from a Local Viewpoint,** by Linda Keen and Nikola Lakic, Bulletin of the
Amer. Math. Soc. 46 no. 2, (2009) 363-368.

*Asymptotically affine and asymptotically conformal circle endomorphisms,* co-authored
with Yunping Jiang, Kokyuroko Bessatsu, Kyoto,4 (2009) 35-51.

*Finite earthquakes and the associahedron,* co-authored with
Jun Hu, in *Teichmueller Theory and Moduli Problems,*Harish Chandra Research Institute, Allahabad. no. 10, (2009),

*A short course on Teichmueller's theorem,* co-authored with Jun Hu, in *Teichmueller Theory and Moduli Problems,* no. 10, (2009), 195-228, Harish Chandra Research
Institute, Allahabad.

*A hyperelliptic realization of the horseshoe and baker maps,* co-authored with R. Chamanara and N. Lakic, Erg. Theory &
Dyn. Sys. 26, no.6, (2006) 1749-1768.

*A vector field approach to mapping class actions,* co-authored with Nikola Lakic, Proc. London Math. Soc.92(2006) 403-427.

*An Earthquake version of the
Jackson-Zygmund theorem,* co-authored with Jun Hu, Ann. Acad. Scient. Fenn. Mathematica 30(2005),237-260.

*Finsler
Structures and their quotients on domains in Banach spaces,* co-authored with C. J. Earle and N. Lakic, from Complex Dynamics
and Related Topics, IP, New Studies in Math 5 (2004) 30-49.

*Scaling functions of degree 2 circle endomorphisms,* co-authored with Guizhen Cui and Yunping Jiang, Contemp. Math 355 (2004) 147-163.

*Asymptotic Teichmueller Space, Part II: the metric structure,* co-authored with C. J. Earle and N. Lakic,
Contemp. Math. 355 (2004) 187-219.

*Thompson's group as a Teichmueller
mapping class group,* co-authored with W. J. Harvey and E. De Faria, Contemp. Math. 355 (2004) 165-185.

*Efficient smooth quasiconformal mappings,* co-authored with N. Lakic,
Contemp. Math. **311** (2002) 197-205.

*Earthquake curves,* co-authored with J. Hu and N. Lakic, Contemp. Math. **311** (2002) 141-195.

*Universal Teichmueller space,* co-authored with William J. Harvey, "Handbook for Complex Analysis, Volume 1,
Geometric Function Theory," ed. by R. Kuehnau, Elsevier, (2002) 457-492, http://arXiv.org/abs/math.CV/0012168.

*Comparing Poincare densities,* co-authored
with Nikola Lakic, Ann. of Math.** 154 **(2001) 245-267.

*Local boundary
dilatation,*, co-authored with Nikola Lakic, Contemp. Math. **256 **(2000) 131-141.

*Asymptotic Teichmueller spaces, part I: the complex structure*, co-authored
with C. J. Earle and N. Lakic, Contemp. Math. **256** (2000) 17-38.

*Coverings of Cantor sets,* co-authored with L. Keen, Contemp. Math. **256** (2000)
115-130.

*Isomorphisms
between Teichmueller spaces, * co-authored with C. J. Earle and N. Lakic, Contemp. Math. **240** (1998) 97-110.

*Holomorphic motions and quasi-Fuchsian manifolds,* co-authored with L. Keen, Contemp. Math. **240** (1998) 159-174.

*Vector fields
for holomorphic motions of closed sets, * co-authored with C. J. Earle and N. Lakic, Contemp.Math.** 201 ** (1997) 193-225.

*Teichmueller disks and Veech's F-structures*,
co-authored with C. J. Earle, Contemp. Math. **201** (1997) 165-189.

*Geometric isomorphisms between Teichmueller spaces*, co-authored with C. J. Earle, Trans. Amer. Math. Soc. **348, no. 3,** (1996) 1163-1190.

*Infinitesimal bending and twisting in one-dimensional dynamics, * Trans. Amer. Math. Soc.** 347, no. 3** (1995) 915-937.

*Extremal problems for quadratic differentials, * co-authored with R. Fehlmann, Mich. Math. J., **42, no. 2** (1995) 573-591.

*Lacunary series as quadratic differentials in conformal dynamics,* co-authored with D. P. Sullivan, Contemp. Math. **169** (1994) 307-330.

*On Teichmueller contraction*, Proc. Amer. Math. Soc., **118, no. 3,** (1993) 865-875.

*Symmetric and quasisymmetric structures on a closed curve, * co-authored with D. P. Sullivan, Amer. J. of Math., **114, no. 4,** (1992) 683-736.

*Extremal length geometry of
Teichmueller space,* co-authored with Howard Masur, Complex Variables; Theory and Appl. **16** (1991) 209-237.

*On completing triangles in infinite dimensional Teichmueller spaces, * Complex Variables; Theory and Appl. **10,** (1988) 237-247.

*A theorem of Bers and Greenberg for infinite dimensional Teichmueller spaces. *Holomorphic Functions and Moduli, Springer-Verlag, II, (1988) 195-204.

*A correspondence between Laminations and quadratic differentials*, Complex Variables, 6** **(1986) 363-375.

*Fricke spaces, * Advances in Math. 62 no. 3**,** (1986) 249-283.

*Approximation of infinite dimensional Teichmueller spaces*, Trans. Amer. Math. Soc. 282**,** (1984) 367-383.

*Measured foliations and the minimal norm property for quadratic differentials, *Acta Math. 152**,** (1984) 57-76.

*An inequality for conjugacey classes in Fuchsian groups, *London Math Society Lecture Notes ed. D. B. A. Epstein et al.**, 111** (1984) 275-280.

*On partially Teichmueller Beltrami differentials, * Mich. J. 29**,** (1982) 237-242.

*On the variation of Teichmueller's metric,* Proc. Royal Soc. Edinburgh, sec A 85 (1980) 143-152

*Schiffer's interior variation and quasiconformal mapping,* Duke Math. J., 42 no. 2,** **(1975) 371-380.

*Stability of Kleinian groups*, Indiana University Mathematics Journal. 21 no.11(1972) 1037-1059.

*Deformations of embeddings of Riemann surfaces in projective space,* Annals of Math Studies, 66, 282**,** (1971) 157-173.

*An analyisis of the group operation in universal Teichmueller space, * Trans. Amer. Math. Soc. 132**,** no.2 (1968) 471-486.