2018 (4 PhD)

**Shriner, Jeffrey Alan**

*Hardness Results for the Subpower Membership Problem*

Advisor: Szendrei, Agnes

Degree: Ph.D. 2018

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**Lamar, Jonathan P. **

*Lattices of Supercharacter Theories*

Advisor: Thiem, Nathaniel

Degree: Ph.D. 2018

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**Frinak, Josh**

*Degeneration of Prym Varieties: A Computational Approach to the Indeterminacy Locus of the Prym Map and Degenerations of Cubic Threefolds*

Advisor: Casalaina-Martin, Sebastian and Dutour Sikiric, Mathieu

Degree: Ph.D. 2018

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**Coston, N. A.**

*Spectral Properties of Products of Independent Random Matrices*

Advisor: O'Rourke, Sean

Degree: Ph.D. 2018

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2017 (6 PhD)

**Long, Ian**

*Spectral Hutchinson-3 Measures and Their Associated Operator Fractals*

Advisor: Packer, Judith

Degree: Ph.D. 2017

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**Rosenbaum, Ryan M.**

*On the Poles of Mellin Transforms of Spherical Principal Series Whittaker Functions*

Advisor: Stade, Eric

Degree: Ph.D. 2017

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**Washabaugh, Pearce C.**

*The Diffeomorphism Group Approach to Vorticity Model Equations*

Advisor: Preston, Stephen and Czubak, Magdalena

Degree: Ph.D. 2017

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**Parker, Keli Siqueiros**

*Semistable Modular Compactifications of Moduli Spaces of Genus One Curves*

Advisor: Wise, Jonathan

Degree: Ph.D. 2017

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**Chhay, Boramey Chhay**

*Euler-Arnold Equations on the Contactomorphism Group and Teichmüller Theory*

Advisor: Preston, Stephen C. and Clelland, Jeanne N.

Degree: Ph.D. 2017

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**Smith, Kathleen Elise**

*On Minimum Variance Unbiased Estimation of a Power Of an Unknown Scalar or Matrix*

Advisor: Kuznetsov, Sergei

Degree: Ph.D. 2017

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2016 (9 PhD, 1 MA)

**Moorhead, Andrew Paul**

*Higher Commutator Theory for Congruence Modular Varieties*

Advisor: Kearnes, Keith

Degree: Ph.D. 2016

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**Krupa, Matthew Gregory**

*Differential geometry of projective limits of manifolds*

Advisor: Pflaum, Markus J.

Degree: Ph.D. 2016

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**Shannon, Erica Hilary**

*Computing invariant forms for Lie algebras using heaps*

Advisor: Green, Richard M.

Degree: Ph.D. 2016

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**Parsons, Elizabeth E.**

*Simulation of a Quantum Prime Factoring Algorithm*

Advisor: Stange, Katherine

Degree: M.A. 2016

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**Linman, Julie**

*Minimal functions on the random permutation*

Advisor: Szendrei, Agnes

Degree: Ph.D. 2016

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**Scherer, Charles**

*Maximal Comparable and Incomparable Sets in Boolean Algebras*

Advisor: Monk, James D.

Degree: Ph.D. 2016

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**Havasi, Krisztian**

*Geometric realization of strata in the boundary of the intermediate Jacobian locus*

Advisor: Casalaina-Martin, Sebastian

Degree: Ph.D. 2016

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**Nishikawa, Jared**

*Applications of Cryptographic Hash Functions*

Advisor: Black, John

Degree: Ph.D. 2016

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**Grimes, Matthew**

*Relative Moduli of Vector Bundles and the Log-Minimal Model Program on M¯_{g}*

Advisor: Casalaina-Martin, Sebastian

Degree: Ph.D. 2016

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**Nita, A.**

*Essential Self-Adjointness of the Symplectic Dirac Operators*

Advisor: Gorokhovsky, Alexander

Degree: Ph.D. 2016

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2015 (4 PhD)

**Zhang, Liang**

*Problems concerning spatial branching particle systems with interaction*

Advisor: Englander, Janos

Degree: Ph.D. 2015

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**Migler, Joseph**

*Determinants in K-theory and operator algebras*

Advisor: Gorokhovsky, Alexander

Degree: Ph.D. 2015

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**Selker, Kevin**

*On some min-max cardinals on Boolean algebras*

Advisor: Monk, Don

Degree: Ph.D. 2015

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**Davison, T. H.**

*Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function*

Advisor: Packer, Judith

Degree: Ph.D. 2015

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2014 (5 PhD)

**Hower, John**

*A Global Symbol for the Small b-Calculus on Manifolds With Boundary*

Advisor: Pflaum, Markus

Degree: Ph.D. 2014

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**Purkis, Benjamin A.**

*Projective Multiresolution Analyses over Irrational Rotation Algebras*

Advisor: Packer, Judith

Degree: Ph.D. 2014

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**Keller, Justin**

*Generalized Supercharacter Theories and Schur Rings for Hopf Algebras*

Advisor: Thiem, Nathaniel

Degree: Ph.D. 2014

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**Feaver, A. F. Amy**

*Euclid's Algorithm in Multiquadratic Fields*

Advisor: Stange, Katherine

Degree: Ph.D. 2014

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**Andrews, Scott D.**

*Type-free approaches to supercharacter theories of unipotent groups*

Advisor: Thiem, Nathaniel

Degree: Ph.D. 2014

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2013 (10 PhD)

**Wayne, David**

*The K-theory of filtered deformations of graded polynomial algebras*

Advisor: Pflaum, Markus

Degree: Ph.D. 2013

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**Martinez, M. D.**

*The Relative K-theory of an Algebraic Pair*

Advisor: Pflaum, Markus

Degree: Ph.D. 2013

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**McGregor-Dorsey, Zachary Strider**

*Some properties of full heaps*

Advisor: Green, Richard M.

Degree: Ph.D. 2013

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**Wakefield, Nathan Paul**

*Primitive Divisors in Generalized Iterations of Chebyshev Polynomials*

Advisor: Ih, Su-Ion

Degree: Ph.D. 2013

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**Moore, Matthew**

*The Undecidability of the Definability of Principal Subcongruences*

Advisor: Kearnes, Keith A.

Degree: Ph.D. 2013

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**Ma, Chao**

*Qualitative and quantitative analysis of nonlinear integral and differential equations*

Advisor: Li, Congming and Preston, Stephen

Degree: Ph.D. 2013

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**Chriestenson, Bryce**

*The Real Homotopy Type of Singular Spaces via The Whitney-deRham Complex*

Advisor: Pflaum, Markus

Degree: Ph.D. 2013

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**Kish, Jonathan**

*Harmonic analysis on the positive rationals: Multiplicative functions and exceptional dirichlet characters*

Advisor: Elliott, Peter D. T. A.

Degree: Ph.D. 2013

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**Gern, Tyson Charles**

*Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D*

Advisor: Green, Richard M.

Degree: Ph.D. 2013

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**Cong, Cui**

*Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations*

Advisor: Cai, Xiao-Chuan and Gustafson, Karl

Degree: Ph.D. 2013

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2012 (5 PhD)

**Newberry, Patrick**

*Explicit Computation of the Cohomology of a Symbol Algebra*

Advisor: Gorokhovsky, A lexander and Fox, Jeffrey S.

Degree: Ph.D. 2012

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**Chestnut, R. M.**

*Independent Partitions in Boolean Algebras*

Advisor: Monk, J. D.

Degree: Ph.D. 2012

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**Katz-Moses, Benjamin**

*Small Deviations for the β-Jacobi Ensemble*

Advisor: Rider, Brian

Degree: Ph.D. 2012

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**Limburg, Steve**

*Space-time Codes, Non-associative Division Algebras, and Elliptic Curves*

Advisor: Grant, David

Degree: Ph.D. 2012

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**Mesa, C.**

*Getzler Symbol Calculus via Deformation Quantization*

Advisor: Gorokhovsky, Alexander

Degree: Ph.D. 2012

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2011 (8 PhD, 1 MA)

**Keyes, David Parker**

*Analytic Proofs of Certain MacWilliams Identities*

Advisor: Grant, David

Degree: Ph.D. 2011

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**Harper, Jacob Tyler**

*Homology Representations Arising from a Hypersimplex*

Advisor: Green, Richard M.

Degree: Ph.D. 2011

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**Noyes, Michael**

*Spectral Properties of the General Beta-Hermite and Beta-Laguerre Ensembles in the Limit Beta going to Infinity*

Advisor: Rider, Brian

Degree: Ph.D. 2011

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**Roy, Michael D.**

*Coxeter Group Actions on Complementary Pairs of Very Well-Poised 9F8(1) Hypergeometric Series*

Advisor: Stade, Eric

Degree: Ph.D. 2011

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**Kim, Eun Hyea**

*Giving Spitzer's Zero Range Process a Positive Range*

Advisor: Holley, Richard and Kuznetsov, Sergei

Degree: Ph.D. 2011

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**Sato, Masaya**

*A Classical Technique to Prove the h-Cobordism Theorem*

Advisor: Farsi, Carla

Degree: M.A. 2011

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**Dent, Topaz**

*Clones of Finite Idempotent Algebras with Strictly Simple Subalgebras*

Advisor: Szendrei, Agnes

Degree: Ph.D. 2011

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**Stackpole, Matthew**

*Dynamic Equivalence of Control Systems via Infinite Prolongations*

Advisor: Clelland, Jeanne

Degree: Ph.D. 2011

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**Wiscons, Joshua**

*Moufang sets of finite Morley rank*

Advisor: Kearnes, Keith

Degree: Ph.D. 2011

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2010 (6 PhD)

**Manley, Kevin W.**

*The discrete Fourier-Riccati-Bessel transform for Robin boundary conditions*

Advisor: Stade, Eric

Degree: Ph.D. 2010

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**Wittenborn, Erika F.**

*On special values of hyperelliptic division polynomials and a formula of Eisenstein*

Advisor: Grant, David R.

Degree: Ph.D. 2010

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**Newhall, J. F.**

*On the density of the Henig efficient points of asymptotically compact sets in locally convex vector spaces*

Advisor: Goodrich, Robert K.

Degree: Ph.D. 2010

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**Tasset, Tiffany N.**

*Lagrange multipliers for set-valued functions when ordering cones have empty interior*

Advisor: Goodrich, Robert K.

Degree: Ph.D. 2010

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**Kwak, Young Jo**

*Automorphisms of some combinatorially defined Lie algebras over GF(2)*

Advisor: Kearnes, Keith

Degree: Ph.D. 2010

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**Angel, Eitan**

*A geometric construction of cyclic cocycles on twisted convolution algebras*

Advisor: Gorokhovsky, Alexander

Degree: Ph.D. 2010

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2009 (3 PhD, 1 MA)

**Denoncourt, Hugh**

*Some combinatorial models for reduced expressions in Coxeter groups*

Advisor: Green, Richard M. and Thiem, Nathaniel

Degree: Ph.D. 2009

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**Krieger, Rachel**

*Modified exponential maps and the finite group of unipotent uppertriangular matrices*

Advisor: Thiem, Franz N.

Degree: M.A. 2009

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**Mishev, Ilia D.**

*Coxeter group actions on supplementary pairs of Saalschutzian 4F3(1) hypergeometric series*

Advisor: Stade, Eric

Degree: Ph.D. 2009

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**Kang, Sooran**

*The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds*

Advisor: Packer, Judith A.

Degree: Ph.D. 2009

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2008 (9 PhD, 1 MA)

**Pohlmann, Brent G.**

*Structural properties of acyclic heaps with applications to Kazhdan -Lusztig theory*

Advisor: Green, Richard M.

Degree: Ph.D. 2008

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**McGregor-Dorsey, Zachary Strider**

*Full heaps over Dynkin diagrams of type affine Ā *

Advisor: Green, Richard M.

Degree: M.A. 2008

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**Bruns, Corey T.**

*Variations of independence in boolean algebras*

Advisor: Monk, James Donald

Degree: Ph.D. 2008

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**Radhakrishnan, Vinod**

*An asymptotic formula for the number of non-Serre curves in a two-parameter family of elliptic curves*

Advisor: Grant, David

Degree: Ph.D. 2008

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**Seguin, Troy**

*Risk measures*

Advisor: Gustafson, Karl

Degree: Ph.D. 2008

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**Ernst, Dana C.**

*A diagrammatic representation of an affine C Temperley -Lieb algebra*

Advisor: Green, Richard M.

Degree: Ph.D. 2008

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**D'Andrea, Jonas**

*Wavelet frames on fractal spaces of Dutkay -Jorgensen type*

Advisor: Packer, Judith

Degree: Ph.D. 2008

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**Formichella, Marc**

*Functional equations among Barnes' integrals and hypergeometric series*

Advisor: Stade, Eric

Degree: Ph.D. 2008

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**Shaw, Jason**

*Commutator relations and the clones of finite groups*

Advisor: Szendrei, Agnes

Degree: Ph.D. 2008

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**Schumacher, Timothy**

*Removable boundary singularities for the equation delta u = u^alpha in non-smooth domains*

Advisor: Kuznetsov, Sergei E.

Degree: Ph.D. 2008

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2007 (5 PhD, 2 MA)

**Mann, Allen Lawrence**

*Independence-friendly cylindric set algebras*

Advisor: Monk, J. Donald

Degree: Ph.D. 2007

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**Davenport, John D.**

*Analysis of American options*

Advisor: Gustafson, Karl

Degree: Ph.D. 2007

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**Flores, Nicandro**

*Counting directed acyclic graphs and its application to Monte Carlo learning of Bayesian networks*

Advisor: Corcoran, Jem N.

Degree: M.A. 2007

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**Sagullo, Noel M.**

*A Drinfeld analog of the Brownawell -Waldschmidt theorem*

Advisor: Tubbs, Robert

Degree: Ph.D. 2007

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**Nickodemus, M. H.**

*Natural dualities for finite groups with abelian Sylow subgroups*

Advisor: Kearnes, Keith

Degree: Ph.D. 2007

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**Kelley, Samuel Lloyd**

*Bond percolation on the two-dimensional lattice*

Advisor: Rider, Brian

Degree: M.A. 2007

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**Daniel, Michael J.**

*Modular forms on a function field over a finite field*

Advisor: Walling, Lynne

Degree: Ph.D. 2007

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2006

- Sheila Miller, Free Left-Distributive Algebras (R. Laver).
- Noel Sagullo, A Drinfeld Analog of the Brownawell-Waldschmidt Theorem (R. Tubbs).
- Christopher Catone, Projective Equivalence of Finsler and Riemannian Surfaces (J. Clelland).
- Amy Chambers, Certain Subalgebras of the Tensor Product of Graph Algebras (J. Packer).
- Abdulaziz Deajim, On Non-associative Division Algebras Arising from Elliptic Curves (D. Grant).
- Veronika Furst, A Characterization of Semiorthogonal Parseval Wavelets in Abstract Hilbert Spaces (L. Baggett).

2005

- Jennifer Horne, Cardinal Functions on Pseudo-Tree Algebras and a Generalization of Homogeneous Weak Density (J. Monk).
- John Massman, Applications of Algebraic Geometry to error-Correcting codes (D. Grant).
- Erich McAlister, Noncommutative CW-Complexes Arising From Discrete Groups and Their K-Theory (C. Farsi).

2004

- Christopher Brown, Connectedness and Reflections in Symmetry Algebras of Differential Equations (A. Ramsay).
- Robert Cohen, Construction of an Order Theoretic Duality for Certain Groups (M. Walter).
- William Kirwin, Coherent States and Geometric Quantization (S. Wu).
- Christopher Seaton, Two Gauss-Bonnet and Poincare-Hopf Theorems for Orbifolds with Boundary (C. Farsi).

**Kirwin, William D**

*Coherent states and geometric quantization *

Advisor:

Degree: Ph. D. 2004

CU Boulder Library record

**Brown, Christopher Edward**

*Connectedness and reflections in symmetry algebras of differential equations *

Advisor:

Degree: Ph. D. 2004

CU Boulder Library record

**Cohen, Robert A**

*Construction of an order theoretic duality for certain groups *

Advisor:

Degree: Ph. D. 2004

CU Boulder Library record

**Nagarajan, Vijay**

*Low-density parity check codes : design, analysis, and complexity issues *

Advisor:

Degree: M.S. 2004

CU Boulder Library record

**Mitchiner, Yumiko**

*Statistical mechanics of wealth *

Advisor:

Degree: M.A. 2004

CU Boulder Library record

**Seaton, Christopher W**

*Two Gauss-Bonnet and PoincarÃ©-Hopf theorems for orbifolds with boundary *

Advisor:

Degree: Ph. D. 2004

CU Boulder Library record

2003

- Christopher Rowe, Coates-Wiles Towers for CM Abelian Varieties (D. Grant).
- Bret Simon, Torsion Points on a Theta Divisor in the Jacobian of a Fermat Quotient (D. Grant).

2002

- Suzanne Caulk, Explicit Action of Hecke Operators on Hilbert-Siegel Modular Forms (L. Walling).
- Douglas Norris, Optimal Solutions to the L-infinity Moment Problem with Lattice Bounds (R. Goodrich).
- David Tuller, Some Questions in Additive Number Theory (W. Schmidt).