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 Research Report for 2002

Abteilung für Reine Mathematik

Mathematisches Institut

Eckerstraße 1
79104 Freiburg i. Br.
Tel: 0761/203-5542 Fax: 0761/203-5541
Email rm@math.uni-freiburg.de
http://www.math.uni-freiburg.de/allgemein/abteilungen/rein.de.html


Scientific Employees

  • Prof. Dr. Victor Bangert
  • Prof. Dr. Ernst Kuwert
  • Prof. Dr. Rolf Schneider
  • Prof. Dr. Bernd Siebert
  • Prof. Dr. Wolfgang Soergel
  • Prof. Dr. Rolf Wallisser
  • Prof. Dr. Dieter Wolke
  • Juniorprof. Dr. Urs T. Hartl
  • PD Dr. Daniel Hug
  • PD Dr. Manfred Peter
  • Dr. Karin Halupczok
  • Oleksandr Khomenko
  • Tobias Lamm
  • Dr. Jan-Christoph Schlage-Puchta
  • Ralph Schuster
  • Dr. Wolfgang Schuster, Lehrauftrag seit 20.06.2005
  • Prof. Dr. Otto H. Kegel, Emeritus
  • Prof. Dr. Helmut Klingen, Emeritus
  • Prof. Dr. Jürgen Spilker, im Ruhestand
Entries in "Who is Who"

Main Research

  • Elementare und Analytische Zahlentheorie

Financing

  • DFG
  • EU
  • Graduiertenkolleg "Nichtlineare Differentialgleichungen: Modellierung, Theorie, Numerik, Visualisierung".

Scientific publications

Journal Articles:
  • Hug, D., Mani-Levitska, P., Schätzle, R.: Almost transversal intersections of convex surfaces and translative integral formulae. Math. Nachr., 2002; 246-247: 121-155.
  • Hug, D., Schneider, R.: Stability results involving surface area measures of convex bodies. Rend. Circ. Mat. Palermo, 2002; 2 Suppl. 70: 21-51.
  • Hug D: Absolute continuity for curvature measures of convex sets III. Adv. Math., 2002; 169: 92-117.
  • Hug D, Last G, Weil W: Generalized contact distributions of inhomogeneous Boolean models. Adv. Appl. Probab., 2002; 34: 21-47.
  • Hug D, Last G, Weil W: A survey on contact distributions. Statistical Physics and Spatial Statistics. Morphology of Condensed Matter, Physics and Geometry of Spatially Complex Systems, ed. by K. Mecke and D. Stoyan Lecture Notes in Physics, Springer Berlin, 2002; 600: 317-357.
  • Khomenko, Oleksandr: Shapovalov form for quantum deformations of generalized Verma modules. Comm. Algebra, 2002; 30 (11): 5521-5533. : http://ams.mathematik.uni-bielefeld.de/msnmain?fn=305&pg1=CN&s1=Comm_Algebra&v1=Comm%2E%20Algebra
  • Khomenko, Oleksandr, Mazorchuk, V.: On multiplicities of simple subquotients in generalized Verma modules. Czechoslovak Math. J., 2002; 52/127/2: 337-343. : http://ams.mathematik.uni-bielefeld.de/msnmain?fn=305&pg1=CN&s1=Czechoslovak_Math_J&v1=Czechoslovak%20Math%2E%20J%2E
  • Khomenko, Oleksandr, Mazorchuk, Volodymyr: Rigidity of generalized Verma modules. Colloq. Math., 2002; 92 (1): 45-57.
  • Matveev, Vladimir S.: Low-dimensional manifolds admitting metrics with the same geodesics. Contemporary Mathematics, 2002; 308: 229-243. : http://home.mathematik.uni-freiburg.de/matveev/Forschung/publications.html
  • Matveev, Vladimir S.: Three-manifolds admitting metrics with the same geodesics. Math. Res. Lett., 2002; 9 (2-3): 267-276.
  • Müller, T., Schlage-Puchta, J.-C.: Character theory of symmetric groups and subgroup growth. J. London Math. Soc., 2002; 66: 623-640.
  • Peter, M.: Lattice points in convex bodies with planar points on the boundary. Mh. Math., 2002; 135: 37-57.
  • Peter, M.: The correlation between multiplicities of closed geodesics on the modular surface. Commun. Math. Phys., 2002; 225: 171-189.
  • Peter, M.: The asymptotic distribution of elements in automatic spheres. Theoretical Computer Science, 2002; eingereicht.
  • Peter, M.: The Eta invariant of Berger spheres and hypergeometric identities. Preprint, 2002.
  • Peter M.: Almost periodicity and the remainder in the ellipsoid problem. Michigan Math. J., 2002; 49: 331-351. (in Druck)
  • Schlage-Puchta, J.-C.: On Fabry's gap theorem. Archivum mathematicum Brno, 2002; 38: 307-309.
  • Schlage-Puchta, J.-C.: An additive property of almost periodic sets. Acta Math. Hung., 2002; 97: 323-331.
  • Schlage-Puchta, J.-C.: Representation of numbers with negative digits and multiplication of small integers. Fibonacci Quarterly, 2002; 40: 66-67.
  • Schlage-Puchta, J.-C.: On the distribution of totients. Fibonacci Quarterly, 2002; 40: 68-70.
  • Schlage-Puchta, J.-C.: On additive decompositions of the set of primes. Arch. Math., 2002; 78: 24-25.
  • Schlage-Puchta, J.-C.: On a criterion for Catalan's conjecture. Ramanujan Journal, 2002; 5: 405-407.
  • Schlage-Puchta, J.-C., Spilker, J.: Altes und Neues zur Quersumme. Math. Semesterber., 2002; 49: 209-226.
  • Schlage-Puchta, J.-C., Spilker, J.: Arithmetical functions of the form f([g(n)]). Acta. Math. Hung., 2002; 95: 187-199.
  • Schlage-Puchta, J.- C. (mit D. R. Heath-Brown): Integers represented as a sum of primes and powers of two. Asian J. Math., 2002; 6: 535-565.
  • Schneider, R., Schuster, R.: Tensor valuations on convex bodies and integral geometry, II. Rend. Circ. Mat. Palermo, 2002; 2 Suppl. 70: 295-314.
  • Schneider R: On integral geometry in projective Finsler spaces. Izvestija NAN Armenii. Mathematika, 2002; 37: 34-51.
Book Chapters:
  • Hartl, U.: Line bundles on rigid analytic spaces. In: F.-V. Kuhlmann, S. Kuhlmann, M. Marshall (Hrsg.): Valuation Theory and its Applications. Volume I (Series: Fields Institute Communications) AMS, 2002; 205-217.
  • Hug, D., Schneider, R.: Kinematic and Crofton formulae of integral geometry:recent variants and extensions. In: C. Barceló i Vidal (Hrsg.): Homenatge al professor Lluís Santaló i Sors Universitat de Girona, 2002; 51-80.

Special Scientific Activities

Scientific Dissertations

Dissertations
  • Nopper, Thomas: Meromorphe Funktionen mit arithmetischen Bedingungen und Anwendungen auf Irrationalität (Supervisor Prof. Dr. Rolf Wallisser), 2002.
State Examinations
  • Haas, Klaus: Faires Teilen (Supervisor Prof. Dr. Dieter Wolke), 2002.
  • Kern, Christine: Über Verallgemeinerungen der Turán-Kubelius Ungleichung (Supervisor Prof. Dr. Dieter Wolke), 2002.
  • Kupferschmid, Simone: Befreundete Zahlen (Supervisor Prof. Dr. Dieter Wolke), 2002.
  • Senne, Carmen: Das inverse Goldbach-Problem (Supervisor Prof. Dr. Dieter Wolke), 2002.




Guest Scientists:

  • Andries, Joost, Universität Antwerpen, Belgien, Gastaufenthalt innerhalb des EU-Projektes "Training and Mobility of Researchers, 01.10.2002 bis 31.10.2002
  • Grunspan, Cyril, Paris, Frankreich, Gastaufenthalt innerhalb des EU-Projektes "Training and Mobility of Researchers", 01.09.2002 bis 30.09.2002
  • Rataj, PD Dr. Jan, Charles University, Prag, Tschechische Republik, 08.09.2002 bis 14.09.2002
  • Reitzner, Dr. Matthias, TU Wien, Austria, 01.07.2001 bis 31.07.2003
  • Van de Weyer, Gert, Universität Antwerpen, Belgien, Pre-Doc Fellowship in the Framework of the EC-Programme "Training and Mobility of Researchers", 01.09.2002 bis 31.10.2002