## Faculty Advising Ph.D.s

**Elizabeth S. Allman**

Professor of Mathematics

e.allman@alaska.edu

personal webpage

*Research Interests*: Phylogenetics, Modeling of sequence evolution, Algebraic Statistics, Applications
of Computational Algebra

Select publications:

1. "Identifiability of parameters in latent structure models with many observed variables"
by Elizabeth S. Allman, Catherine Matias, and John A. Rhodes, *Annals of Statistics*, **37** no. 6A (2009) 3099-3132.

2. "Trees, Fast and Accurate" by Elizabeth S. Allman and John A. Rhodes, *Science*, **327** (2010) 1334-1335.

**Sergei Avdonin**

Professor of Mathematics

s.avdonin@alaska.edu

personal webpage

short CV

*Research Interests*: Control theory for partial differential equations, Inverse problems of mathematical
physics, Nonharmonic Fourier series

Select publications:

1. "Families of Exponentials. The Method of Moments in Controllability Problems for Distributed Parameter Systems" by S.A. Avdonin and S.A. Ivanov, Cambridge University Press, 1995, New York, London, Melbourne.

2. "Inverse problems for quantum trees" by S. Avdonin and P. Kurasov, *Inverse Problems and Imaging*, **2** no. 1 (2008) 1-21.

**Leah Wrenn Berman**

Associate Professor of Mathematics

lwberman@alaska.edu

*Research Interests*: Study of configurations of points and lines with high degrees of incidence and/or
symmetry, especially developing new construction techniques and examples; Study of
abstract polytopes and their monodromy groups, with an emphasis on polytopes that
are symmetric but not too symmetric; discrete geometry.

Select publications:

1. "Highly incident configurations with chiral symmetry" by Leah Wrenn Berman and
Jill Faudree, *Discrete and Computational Geometry*, **49** no. 3 (2013) 671–694.

2. "Geometric constructions for 3-configurations with non-trivial geometric symmetry"
by Leah Wrenn Berman, *The Electronic Journal of Combinatorics*, **20** no. 3 (2013).

**John A. Rhodes**

Professor of Mathematics

j.rhodes@alaska.edu

personal webpage

*Research Interests*: Phylogenetics, Modeling of sequence evolution, Algebraic Statistics, Tensor decompositions

Select publications:

1. "Tensor Rank, Invariants, Inequalities, and Applications," with E.S. Allman, P.
Jarvis, and J. Sumner, *SIAM Journal on Matrix Analysis and Applications*, **34** no. 3, (2013) 1014-1045.

2. "Species tree inference by the STAR method, and generalizations," with E.S. Allman
and J.H. Degnan, *Journal of Computational Biology*, ** 20** no. 1 (2013), 50-61.

**Alexei Rybkin**

Professor of Mathematics

arybkin@alaska.edu

*Research Interests*: Soliton theory and mathematical physics

Select publications:

1. FIXME

2. FIXME

**Gordon Williams**

Associate Professor of Mathematics

giwilliams@alaska.edu

personal webpage

*Research Interests*: Study of the symmetry and combinatorial structure of polyhedra, convex polytopes
and abstract polytopes, especially developing combinatorial representations of polytopes
through the use of regular covers of polytopes and their monodromy (or connection)
groups. Discrete geometry, mathematical art, and recreational mathematics.

Select publications:

1. "Minimal covers of the prisms and antiprisms," with M. Hartley, and D. Pellicer,
*Discr. Math.*, **312** no. 20, (2012) 3046-3058.

2. "The Tomotope," with B. Monson, D. Pellicer, *Ars Math. Contemp.*, **5** (2012) 355–370.