Pure Mathematics Preprints

2007

2. Werner Bley and S. M. J. Wilson:
   Computations in relative algebraic K-groups

1. J. Vernon Armitage and John R. Parker
   Jorgensen's inequality for non-Archimedean metric spaces
   

2006

6. L. F. Martins, R. D. S. Oliveira and Farid Tari
   On pairs of regular foliations in R3 and singularities of map-germs
   

5. G. H. Hitching
   Moduli of rank 4 symplectic vector bundles over a curve of genus 2"
   

4. J. J. Nuno-Ballesteros and Farid Tari
   Surfaces in R⁴ and their projections to 3-spaces
   

3. M. C. Romero-Fuster, M. A. S. Ruas and Farid Tari
   Asymptotic curves on surfaces in R⁵
   

2. Farid Tari
   Self-adjoint operators on surfaces in Rⁿ
   

1. L. F. M. Brito and Farid Tari
   Vector fields tangent to foliations
   

2005

10. C. Kearton and S. M. J. Wilson:
    New Invariants of Simple Knots
    

9. Farid Tari
   On pairs of geometric foliations on a cross-cap
   

8. Farid Tari
   Two parameter families of binary differential equations
   

7. Farid Tari
   Geometric properties of the integral curves of an implicit differential equation
   

6. Norbert Peyerimhoff and Gerhard Knieper
   Ergodic properties of isoperimetric domains in spheres
   

5. John R Parker
   Unfaithful complex hyperbolic triangle groups
   

4. John R Parker and Ioannis D Platis
   Complex hyperbolic Fenchel-Nielsen coordinates
   

3. L. Karp and N. Peyerimhoff
   Geometric heat comparison criteria for Riemannian manifolds
   

2. O. Baues and N. Peyerimhoff
   Geodesics in non-positively curved plane tesselations
   

1. J. R. Parker
   Cone metrics on the sphere and Livné's lattices
   

2004

22. M. Farber,
    Topology of robot motion planning

21. M. Farber, T. Kappeler, J. Latschev and E Zehnder,
    Smooth Lyapunov 1-forms.
    Enseign. Math. (2), 50 (2004), 3-17.

20. V. Abrashkin
    An analogue of the field-of-norms functor and the Grothendieck Conjecture
    

19. J R Parker and I D Platis
    Open sets of maximal dimension in complex hyperbolic quasi-Fuchsian space

18. R. de Jeu
    A result on K₂ of certain (hyper)elliptic curves
17. B. Guilfoyle and W. Klingenberg
    Reflection in a translation invariant surface

16. M. Farber and D. Schuetz
    Closed 1-forms with at most one zero

15. M. Farber
    Collision free motion planning on graphs
    to appear in  Proceedings of the Sixth International Workshop on Algorithmic Foundations of Robotics (2004) Utrecht/Zeist

14. M. Braverman, A. Carey, M. Farber and V. Mathai,
    L²-torsion and extended L²-cohomology
    to appear in  Communications in Contemporary Mathematics.

13. M. Farber and T. Kappeler
    Lusternik - Schnirelman theory and dynamics, II
    to appear in   Proceedings of the Steklov Mathematical Institute (2004)

12. M. Farber, J. Latschev, T. Kappeler and E. Zehnder
    Lyapunov 1-forms for flows
    Ergodic Theory and Dynamical Systems, 24 (2004), 1451--1475.

11. R. de Jeu
    Further counterexamples to a conjecture of Beilinson's

10. E. Falbel and J. R. Parker
    The geometry of the Eisenstein-Picard modular group

9. J. Bolton and L. Vrancken
   Transforms for minimal surfaces in the 5-sphere
   

8. J. Bolton and L. M. Woodward
   The space of harmonic 2-spheres in the unit 4-sphere
   

7. T. Dokchitser, R. de Jeu and D. Zagier
   Numerical verification of Beilinson's conjecture for K₂ of hyperelliptic curves
   To appear in Compositio Mathematica.

6. B. Guilfoyle, W. Klingenberg and Siddartha Sen
   The Casimir Effect Between Non-Parallel Plates by Geometric Optics

5. B. Guilfoyle and W. Klingenberg
   Reflection of a wave off a surface

4. J. R. Parker and S. Kamiya
   Discrete subgroups of PU(2,1) with screw parabolic elements

3. S. Markham and J. R. Parker
   Jorgensen's inequality for metric spaces with application to the octonions

2. B. Guilfoyle and W. Klingenberg
   An Indefinite Kähler Metric on the Space of Oriented Lines

1. W. Klingenberg
   Asymptotics and optimal regularity in a Riemann-Hilbert problem for holomorphic curves
   

2003

17. V. Abrashkin
    Galois modules arising from Falting's strict modules
    

16. M. Farber
    Topology of closed one-forms
    Mathematical Surveys and Monographs, 108, American Mathematical Society (2004)

15. M. Farber and S. Yuzvinsky
    Topological Robotics: Subspace Arrangements and Collision Free Motion Planning
    Amer. Math. Soc. Transl. 212 (2004) 145 - 156

14. M. Farber
    Instabilities of Robot Motion
    Topology and its applications, 140, (2004) 245-266.

13. M. Farber, S. Tabachnikov and S. Yuzvinsky
    Topological robotics: motion planning in projective spaces
    Int. Math. Res. Not. 2003, no. 34, 1853--1870.

12. M. Farber
    Topological complexity of motion planning,
    Discrete and Computational Geometry, 29 (2003), no. 2, 211--221.

11. J. Bolton and L. Vrancken
    Ruled minimal Lagrangian submanifolds in complex projective 3-space
    to appear in The Asian Journal of Mathematics

10. A. Deitmar and W. Hoffmann
    Asymptotics of class numbers
    To appear in Inventiones Mathematicae 107 (2004).

9. I. Moreno-Mejía
   On the image of certain extension maps I

8. T. Dokchitser:
   LLL & ABC

7. T. Dokchitser and V. Dokchitser:
   On the 6-colour conjecture in R³

6. B. Guilfoyle and W. Klingenberg
   Isolated umbilical points on surfaces in R³
   to appear in: The Proceedings of the Greek Mathematical Society.

5. I. Moreno-Mejía
   The trace of an automorphism on H⁰(J,O(n Theta))
   Michigan Mathematical Journal 53 (2005) p.57-69.

4. I. Moreno-Mejía
   Characteristic classes on symmetric products of curves
   Glasgow Math. J. 46 (2004) 477--488.

3. S. Markham and J. R. Parker
   Collars in complex and quaternionic hyperbolic manifolds
   Geometriae Dedicata 97 (2003) 199-213

2. C. Kearton
   S-Equivalence of knots.

1. J. J. Hooper and S. M. J. Wilson:
   Chinburg's Second Conjecture for H₁₂-extensions of Q
   

2002

12. B. Guilfoyle and W. Klingenberg
    Generalised surfaces in R³
    to appear in The Mathematical Proceedings of the Royal Irish Academy.

11. B. Guilfoyle and W. Klingenberg
    On the space of oriented affine lines in R³
    Archiv der Mathematik, 82 (2004) 81 - 84.

10. J. R. Parker
    On the stable basin theorem
    Canadian Math Bull 47 (2004) 439--444.

9. W. Hoffmann
   Geometric estimates for the trace formula

8. Cao. Wensheng, J. R. Parker and Wang Xiantao
   On the classification of quaternionic Möbius transformations
   Math Proc Cam Phil Soc 137 (2004) 349--361.

7. C. Kearton and S. M. J. Wilson:
   Prime simple knots in higher dimensions.

6. V. Abrashkin
   Characteristic p case of the Grothendieck Conjecture for 2-dimensional local fields
   

5. A. D. Mednykh, J. R. Parker and A. Yu. Vesnin
   On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups
   to appear in: Boletin de la Sociedad Matematica Mexicana.

4. C. Kearton
   A-equivalence of knots

3. Jiang Yueping and J. R. Parker
   Uniform discreteness and Heisenberg screw motions
   Math Zeit 243 (2003) pp 653-669

2. J. R. Parker
   Tetrahedral decomposition of punctured torus bundles
   in Kleinian Groups and Hyperbolic 3-Manifolds, eds Y Komori, V Markovic and C Series, London Math Soc Lec Notes 299 (2003) 275-291

1. V. Abrashkin
   Ramification theory for higher dimensional local fields
   Algebraic number theory and algebraic geometry, 1-16, Contemp. Math., 300, Amer. Math. Soc., 2002.

2001

12. S. Kamiya and J. R. Parker
    On discrete subgroups of PU(1,2;C) with Heisenberg translations II
    Rev Roumaine Math Pures Appl 47 (2002) pp 689-695.

11. W. Klingenberg
    Real Hypersurfaces in Kähler manifolds
    Asian Journal of Mathematics, 5, 1, (2001) pp 1 - 18.

10. A. Besser and R. de Jeu
    The syntomic regulator for K-theory of fields
    Annales Scientifiques de l'Ecole Normale Supérieure 36 (2003), issue 6, 867-924.

9. W. Klingenberg
   Real surfaces in complex surfaces
   

8. E. Falbel and J. R. Parker
   The moduli space of the modular group in complex hyperbolic geometry
   Invent. Math., 152 (2003) pp 57-88.

7. C. Kearton and S. M. J. Wilson:
   Simple non-finite knots are not prime in higher dimensions.
   Journal of Knot Theory and its Ramifications 12 (2003) pp. 225-241.

6. Jiang Yueping
   On the discreteness of Möbius groups in all dimensions
   Math Proc Cam Phil Soc 136 (2004) 547-555

5. Jiang Yueping, S. Kamiya and J. R. Parker
   Jorgensen's inequality for complex hyperbolic space
   Geometriae Dedicata 97 (2003) pp 55-80

4. C. Kearton and S. M. J. Wilson:
   Sharp bounds on some classical knot invariants.
   Journal of Knot Theory and its Ramifications, 12 (2003) pp. 805-817.

3. C. Kearton and S. M. J. Wilson:
   Knot modules and the Nakanishi index.
   Proceedings of the American Mathematical Society 131 (2003) pp. 655-663.

2. N. Gusevskii and J. R. Parker
   Complex hyperbolic quasi-Fuchsian groups and Toledo's invariant
   Geometriae Dedicata 97 (2003) pp 151-185

1. Inkang Kim and J. R. Parker
   Geometry of quaternionic hyperbolic manifolds
   Math Proc Cam Phil Soc 135 (2003) 291-320

2000

14. C. Kearton
    Quadratic Forms in Knot Theory.
    Quadratic Forms and Their Applications, University College Dublin, 1999.
    American Mathematical Society Contemporary Mathematics 272 (2000) 135-154.

13. J. Bolton, C. Scharlau, L. Vrancken and L. M. Woodward
    Lagrangian immersions satisfying Chen's equality
    

12. J. Bolton and L. M. Woodward
    Linearly full harmonic 2-spheres in S⁴ of area 20pi
    To appear in Internat. J Math .

11. L. Alías and B. Palmer
    On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein Theorem
    to appear in the Bulletin of the LMS

10. L. Alías and B. Palmer
    Stability of zero mean curvature surfaces in flat Lorentzian 4-manifolds,
    to appear in Contemporary Mathematics

9. Florian Pop and Mohamed Saïdi
   On the specialization homomorphism of fundamental groups of curves in positive characteristic

8. Mohamed Saïdi
   Galois covers of degree p and semi-stable reduction of curves

7. C. Menzel and J. R. Parker
   Pseudo-Anosov diffeomorphisms of the twice punctured torus
   in Recent Advances in Group Theory and Low-Dimensional Topology, ed Jung Rae Cho and Jens Mennicke, Heldermann 2003, pp 141-154

6. V. Abrashkin
   Towards explicit description of ramification filtration in the 2-dimensional case
   

5. W. Klingenberg and J. Stalker
   Conformal reparametrization of a free boundary flow in 2D Hydrodynamics
   

4. B. Palmer
   Stability of critica of parametric elliptic functionals
   

3. B. Palmer
   Uniquenesss Theorems for Willmore Surfaces with Fixed and Free Boundaries
   to appear in the Indiana University Math J.

2. A. J. Scholl and M. Harris
   A note on trilinear forms for reducible representations and Beilinson's conjectures

1. L. Alías and B. Palmer
   On the area of constant mean curvature discs and annuli with circular boundaries,
   to appear in Mathematische Zeitschrift

1999

8. R. de Jeu
   A remark on the rank conjecture
   K -theory, 25 (2002), no. 3, 215--231.

7. A. Reznikov:
   Analytic Topology of Groups, Actions, Strings and Varieties

6. J. R. Parker and C. Series
   The mapping class group of the twice punctured torus
   in Groups: Topological, Combinatorial and Arithmetic Aspects ed TW Mueller, London Math Soc Lecture Notes 311 (2004) 405-486.

5. J. Bolton and L. M. Woodward
   Toda Equations, G-invariant Connections and Plücker Formulae

4. L. M. Woodward
   Minimal 2-Spheres in CPⁿ with constant Kähler angle

3. J. Bolton and L. M. Woodward
   Higher singularities and the twistor fibration pi:CP³ -> S⁴.
   Geometriae Dedicata 80 (2000) 231-246.

2. W.M.Oxbury and S. Ramanan
   Trigonal curves and Spin(8) bundles

1. A. J. Scholl
   Integral elements in K-theory and products of modular curves

1998

19. A. Reznikov:
    Structure of Kahler groups, I: second cohomology

18. B. J. Everitt and C. Maclachlan:
    Constructing Hyperbolic Manifolds
    In Michael Atkinson et al, editor, Computational and Geometric Aspects of Modern Algebra, number 275 in London Math. Soc. Lecture Notes, pages 78-86. Cambridge University Press, 2000.

17. B. J. Everitt:
    Alternating Quotients of Fuchsian Groups
    J. Algebra 223 (2000) 457-476.

16. A. Reznikov:
    Hakenness and b₁

15. W. M. Oxbury
    Varieties of maximal line subbundles    
    (Math. Proc. Cam. Phil. Soc. 129 (2000), no. 1, 9--18.

14. A. Reznikov:
    Continuous cohomology of the group of volume-preserving and symplectic diffeomorphisms, measurable transfer and higher asymptotic cycles

13. J. Porti and A. Reznikov:
    On the representations of fundamental groups of ramified coverings in SL₂(F_p^c).

12. S. M. J. Wilson:
    Relations between ray class L-functions of different quadratic fields.

11. C. Kearton
    Mutation of knots II.

10. J. J. Hooper, V. Snaith and Minh Tran
    The Second Chinburg Conjecture for Quaternion Fields
    Memoirs of the AMS Vol. 148 #704 (2000)

9. A. Besser
   Syntomic regulators and p-adic integration II: K₂ of curves.

8. A. Besser
   Syntomic regulators and p-adic integration I: Rigid syntomic regulators.

7. C. Kearton and S. M. J. Wilson:
   Branched cyclic covers and spun knots.

6. A. Besser
   A simple approach to geometric realization of simplicial and cyclic sets.

5. C. Kearton and S. M. J. Wilson:
   Spinning and branched cyclic covers of knots.
   Royal Society of London Proceedings A 455 (1999) pp. 2235-2244..

4. L. Alías, Rafael Lopez and B. Palmer
   Stable constant mean curvature surfaces with circular boundaries,
   to appear in Proc. A. M. S.

3. B. Palmer
   Remarks on a variational problem in Laguerre geometry.

2. L. Alías and B. Palmer
   Zero mean curvature surfaces with non-negative curvature in flat Lorentzian 4-spaces,
   to appear in Proc. Royal Soc. London.

1. B. Palmer
   Eigenvalues and capacities in Riemannian manifolds.

1997

20. B. Palmer
    Stability of the Wulff shape,
    to appear in Proc. A. M. S.

19. B. Palmer
    Calibrations and Lagrangian submanifolds in the six sphere,
    to appear in Tohoku Math. J.

18. J. Bolton and L. M. Woodward
    Some Geometrical aspects of the 2-dimensional Toda Equations.

17. J. Bolton and L. M. Woodward
    Special submanifolds of S⁶ with its G₂ geometry.

16. J. Bolton and L. M. Woodward
    Minimal Surfaces and the Toda Equations for the Classical Groups.

15. L. M. Woodward
    The Toda Equations and the Geometry of Surfaces.

14. J. R. Parker and J. Parkkonen
    Coordinates for quasi-Fuchsian punctured torus space.
    Geometry and Topology Monographs 1 (1998), The Epstein Birthday Schrift, pp. 451-478.

13. J. R. Parker and B. Stratmann
    Kleinian groups with singly cusped parabolic fixed points.
    Kodai Mathematical Journal, 24 (2001) 169 - 206.

12. J. A. Hillman and C. Kearton:
    Simple 4-knots.

11. N. Gusevskii and J. R. Parker
    Representations of free Fuchsian groups in complex hyperbolic space
    Topology 39 (2000) 33--60

10. A. Taormina and S. M. J. Wilson
    Virasoro character identities and Artin L-functions
    Commun.Math.Phys. 196 (1998) 77-103
    

9. C. Kearton, O. Saeki and S. M. J. Wilson:
   Finiteness results for knots and singularities.
   Kobe Journal of Mathematics, 14 , 2 (1997) pp. 197-206.

8. J.A. Hillman and C. Kearton:
   Algebraic invariants of simple 4-knots.
   Journal of Knot Theory and its Ramifications, 6, (1997) pp. 307-318.

7. R. N.Barlow:
   Zero-cycles on Mumford's surface.
   Math. Proc. Camb. Phil. Soc., 126 (1999), 505--510.

6. W. M. Oxbury and C. Pauly:
   Heisenberg invariant quartics and SU_C(2) for a curve of genus four.    
   Math. Proc. Cam. Phil. Soc. 125 (1999), no. 2, 295--319.

5. C. Kearton and S. M. J. Wilson:
   Alexander ideals of classical knots.
   Publicacions Matemàtiques, 41 (1997) pp. 489-494.

4. J. R. Parker:
   On the volumes of complex hyperbolic manifolds and orbifolds.
   Duke Math J, 94 (1998) pp. 433-464

3. S. M. J. Wilson:
   Equivalence of factorizability theories.
   Math. Proc. Cam. Phil. Soc., 123 (1998) pp. 421-445.

2. W. M. Oxbury, C. Pauly and E. Previato:
   Subvarieties of SU_C(2) and 2-theta divisors in the Jacobian.
   Trans. Amer. Math. Soc 350 (1998), no. 9, 3587--3614.

1. N. Martin:
   Balanced bipartite graphs may be completely star-factored.
   To appear in the Journal of Combinatorial Designs.

Viewing Suggestions