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Division of Natural Sciences & MathematicsDepartment of Mathematics

Degree Programs


Preprint Series

This preprint series was started in October 2003. It consists of papers submitted to refereed journals, written by the faculty or students of the Department of Mathematics.

The most recent five years of preprints are listed below. A complete list of all preprints since 2003 is available here.

To download a preprint click on the preprint number. All files are in pdf format.

Go to year: 2017, 16, 15, 14, 13, older

Copyright notice: The below documents are included by the contributing authors as a means to ensure timely dissemination of scholarly and technical work only on a non commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. These works may not be reposted without the explicit permission of the copyright holder.



M18/03  Permutations in two dimensions that maximally separate neighbors
Mohammed Albow, Jeff Edgington, Mario Lopez and Petr Vojtěchovský
M18/02  Enumeration of racks and quandles up to isomorphism
Petr Vojtechovsky and Seung Yeop Yang
M18/01  Convex and sequential effect algebras
Stan Gudder



M17/17  Cosets of the Wk(sl4, fsubreg)-algebra
Thomas Creutzig and Andrew R. Linshaw
M17/16  T-duality of singular spacetime compactifications in an H-flux
Andrew Linshaw and Varghese Mathai
M17/15  Universal two-parameter W-algebra and vertex algebras of type W(2,3,...,N)
Andrew Linshaw
M17/14  Topological Ramsey spaces dense in forcings
Natasha Dobrinen
M17/13  Banach spaces from barriers in high dimensional Ellentuck spaces
A. Arias, N. Dobrinen, G. Giron-Garnica and J.G. Mijares
M17/12  Perfect tree forcings for singular cardinals
Natasha Dobrinen, Dan Hathaway and Karel Prikry
M17/11  The Halpern-Läuchli Theorem at a measurable cardinal
Natasha Dobrinen and Dan Hathaway
M17/10  Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order
Izabella Stuhl and Petr Vojtěchovský
M17/09  Bol loops an Bruck loops of order pq up to isotopism
Petr Vojtěchovský
M17/08  Semigroupoid, Groupoid and Group Actions on Limits for the Gromov-Hausdorff propinquity
Frédéric Latrémolière
M17/07  Approximations of compact metric spaces by full matrix algebras for the quantum Gromov-Hausdorff propinquity
Konrad Aguilar and Frédéric Latrémolière
M17/06  Simply connected latin quandles
Marco Bonatto and Petr Vojtěchovský
M17/05  Forcing in Ramsey theory
Natasha Dobrinen
M17/04  Discrete spacetime quantum field theory
S. Gudder
M17/03  The universal homogeneous triangle-free graph has finite big Ramsey degrees
Natasha Dobrinen
M17/02  The elementary particle cube
S. Gudder
M17/01  Decidability and independence of conjugacy problems in finitely presented monoids
J. Araújo, Michael Kinyon, Janusz Konieczny and António Malheiro



M16/15  Schur-Weyl Duality for Heisenberg Cosets
Thomas Creutzig, Shashank Kanade, Andrew R. Linshaw and David Ridout
M16/14  Orbifolds and cosets of minimal W-algebras
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu and Andrew R. Linshaw
M16/13  The modular Gromov-Hausdorff propinquity
Frédéric Latrémolière
M16/12  Code loops in dimension at most 8
E.A. O'Brien and Petr Vojtěchovský
M16/11  Reconditioning in discrete quantum field theory
S. Gudder
M16/10  Discrete scalar quantum field theory
S. Gudder
M16/09  Convergence of quotients of AF algebras in quantum propinquity by convergence of ideals
Konrad Aguilar
M16/08  The Z_2 orbifold of the W_3 algebra
Masoumah Al-Ali and Andrew R. Linshaw
M16/07  Sylow theory for quasigroups II: Sectional action
Michael K. Kinyon, Jonathan D.H. Smith and Petr Vojtěchovský
M16/06  Equivalence of quantum metrics with a common domain
Frédéric Latrémolière
M16/05  Bol loops and Bruck loops of order pq
Michael K. Kinyon, Gabor P. Nagy and Petr Vojtěchovský
M16/04  A detailed investigation into near degenerate exponential random graphs
Mei Yin
M16/03  Discrete quantum gravity and quantum field theory
Stan Gudder
M16/02  Distributive and trimedial quasigroups of order 243
Premysl Jedlicka, David Stanovsky and Petr Vojtěchovský
M16/01  Noncommutative Solenoids and the Gromov-Hausdorff propinquity
Frédéric Latrémolière and Judith Packer



M15/23  A natural characterization of semilattices of rectangular bands and groups of exponent two
J. P. Araújo and Michael Kinyon
M15/22  Four Notions of Conjugacy for Abstract Semigroups
J. Araújo, Michael Kinyon, Janusz Konieczny and António Malheiro
M15/21  Creature forcing and topological Ramsey spaces
Natasha Dobrinen
M15/20  Infinite dimensional Ellentuck spaces and Ramsey-classification theorems
Natasha Dobrinen
M15/19  Voronoi cells: An approach to individual-based environmental exposure estimation
Wan D. Bae, Shayma Alkobaisi, Wade Meyers, Sada Narayanappa and Petr Vojtěchovský
M15/18  Cosets of Bershadsky-Polyakov algebras and rational W-algebras of type A
Tomoyuki Arakawa, Thomas Creutzig and Andrew R. Linshaw
M15/17  Simple current extensions beyond semi-simplicity
Thomas Creutzig, Shashank Kanade and Andrew R. Linshaw
M15/16  Quantum ultrametrics on AF algebras and the Gromov-Hausdorff propinquity
Konrad Aquilar and Frédéric Latrémolière
M15/15  Central and medial quasigroups of small order
David Stanovsky and Petr Vojtěchovský
M15/14  Self-induced systems
Fabien Durand, Nicholas Ormes and Samuel Petite
M15/13  Subshifts with slowly growing numbers of follower sets
Thomas French, Nic Ormes and Ronnie Pavlov
M15/12  Wave equations for discrete quantum gravity
Stan Gudder
M15/11  Curved noncommutative tori as Leibniz quantum compact metric spaces
Frédéric Latrémolière
M15/10  Curvature and Quantum Mechanics on Covariant Causal Sets
Stan Gudder
M15/09  Inflation and Dirac in the Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
M15/08  Half-isomorphisms of Moufang loops
Michael Kinyon, Izabella Stuhl and Petr Vojtěchovský
M15/07  Quantum Metric Spaces and The Gromov-Hausdorff propinquity
Frédéric Latrémolière
M15/06  The Structure of the Kac-Wang-Yan Algebra
Andy Linshaw
M15/05  Three lectures on automorphic loops
Petr Vojtěchovský
M15/04  Continuous and other finitely generated canonical cofinal maps on ultrafilters
Natasha Dobrinen
M15/03  Emergence of Four Dimensions in the Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
M15/02  Automorphic loops arising from module endomorphisms
Alexandr Grishkov, Marina Rasskazova and Petr Vojtěchovský
M15/01  A Compactness Theorem for The Dual Gromov-Hausdorff Propinquity
Frédéric Latrémolière



M14/35  Twisted chiral De Rham complex, generalized geometry, and T-duality
Andrew Linshaw and Varghese Mathai
M14/34  Cosets of affine vertex algebras inside larger structures
Thomas Creutzig and Andrew R. Linshaw
M14/33  Orbifolds of symplectic fermion algebras
Thomas Creutzig and Andrew R. Linshaw
M14/32  Quantum mechanics on phase space and teleportation
Juba Messamah, Franklin E. Schroeck, Jr., Mahmoud Hachemane, Abdallah Smida and Amel H. Hamici
M14/31  Asymptotic Quantization of Exponential Random Graphs
Mei Yin, Alessandro Rinaldo, and Sukhada Fadnavis
M14/30  On the Asymptotics of Constrained Exponential Random Graphs
Richard Kenyon and Mei Yin
M14/29  Asymptotics for Sparse Exponential Random Graph Models
Mei Yin and Lingjiong Zhu
M14/28  Reciprocity in Directed Networks
Mei Yin and Lingjiong Zhu
M14/27  Large Deviations and Exact Asymptotics for Constrained Exponential Random Graphs
Mei Yin
M14/26  A reduced informationally complete set in the C*-algebra generated by phase space fuzzy localization operators
Lisa A. Korf and Franklin E. Schroeck, Jr.
M14/25  The massive coherent states of the Poincare group and fuzzy quantization of space-time
Franklin E. Schroeck, Jr. and Paul DesRoche
M14/24  Uniformly Recurrent Sequences and Minimal Cantor Sets
Lori Alvin
M14/23  Minimal Cantor Omega-Limit Sets
Lori Alvin and Nic Ormes
M14/22  Rainbow Ramsey Simple Structures
Natasha Dobrinen, Claude Laflamme, and Norbert Sauer
M14/21  Explicit Constructions of Equivalence Bimodules for Noncommutative Solenoids
Frédéric Latrémolière and Judith Packer
M14/20  An Isometric Dynamics For A Causal Set Approach To Discrete Quantum Gravity
Stan Gudder
M14/19  Connected quandles and transitive groups
Alexander Hulpke, David Stanovsky and Petr Vojtěchovský
M14/18  Topological Ramsey Spaces and Metrically Baire Sets
Natasha Dobrinen and Jose G. Mijares
M14/17  Idempotent residuated structures: Some category equivalences and their applications
N. Galatos and J.G. Raftery
M14/16  Topographic Gromov-Hausdorff Quantum Hypertopology for Quantum Proper Metric Spaces
Frédéric Latrémolière
M14/15  Spectra of Tukey Types of Ultrafilters on Boolean Algebras
Jennifer Brown and Natasha Dobrinen
M14/14  High dimensional Ellentuck spaces and initial chains in the Tukey structure of non-P-points
Natasha Dobrinen
M14/13  Automorphisms of dihedral-like automorphic loops
Mouna Aboras and Petr Vojtěchovský
M14/12  The Universe as a Quantum Computer
Stan Gudder
M14/11  The Triangle Inequality and the Dual Gromov-Hausdorff Propinquity
Frédéric Latrémolière
M14/10  Labeled Causets in Discrete Quantum Gravity
Stan Gudder
M14/09  Elementary Particles and the Causet Approach to Discrete Quantum Gravity
Stan Gudder
M14/08  A Unified Approach to Discrete Quantum Gravity
Stan Gudder
M14/07  Dihedral-like constructions of automorphic loops
Mouna Aboras
M14/06  Scalable Attribute-based Group Key Establishment: from Passive to Active and Deniable
Rainer Steinwandt and Adriana Suarez Corona
M14/05  Convergence of the Fuzzy Tori and Quantum Tori for the Quantum Gromov-Hausdorff Propinquity: an explicit approach
Frédéric Latrémolière
M14/04  Abelian extensions and solvable loops
David Stanovsky and Petr Vojtěchovský
M14/03  Selective but not Ramsey
Timothy Trujillo
M14/02  Ramsey for R1 ultrafilter mappings and their Dedekind cuts
Timothy Trujillo
M14/01  Topological Ramsey Spaces From Fraisse Classes, Ramsey-Classification Theorems, And Initial Structures In The Tukey Types Of P-Points
Natasha Dobrinen, Jose Mijares, and Timothy Trujillo



M13/17  Distributivity in skew lattices
Michael Kinyon, Jonathan Leech and Joao Pita Costa
M13/16  Inverse semigroups with idempotent-fixing automorphisms
Joao Araujo and Michael Kinyon
M13/15  Extender sets and multidimensional subshifts
Nic Ormes and Ronnie Pavlov
M13/14  An integral representation for topological pressure in terms of conditional probabilities
Brian Marcus and Ronnie Pavlov
M13/13  Amenability of horospheric products of uniformly growing trees
Daniel Lenz, Florian Sobieczky and Ivan Veselic
M13/12  Amenability of horocyclic products of percolation trees
Florian Sobieczky
M13/11  A Covariant Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
M13/10  The Dual Gromov-Hausdorff Propinquity
Frédéric Latrémolière
M13/09  The Quantum Gromov-Hausdorff Propinquity
Frédéric Latrémolière
M13/08  Noncommutative Solenoids and their projective moduless
Frédéric Latrémolière and Judith Packer
M13/07  Survey on the Tukey Theory of Ultrafilters
Natasha Dobrinen
M13/06  The next best thing to a P-point
Andreas Blass, Natasha Dobrinen, and Dilip Raghavan
M13/05  An approach to discrete quantum gravity
Stan Gudder
M13/04  Why must we work in the phase space?
J. J. Slawianowski, F. E. Schroeck, Jr. and A. Martens
M13/03  Compatibility for probabilistic theories
Stan Gudder
M13/02  Solid state physics from the mathematicians' point of view
G. Ali, R. Beneduci, G. Mascali, F. E. Schroeck, Jr., J. J. Slawianowskii
M13/01  A dynamics for discrete quantum gravity
Stan Gudder