Canisius College, Buffalo, New York

PROFESSOR/MATHEMATICS
Department: Mathematics & Statistics
phone: x2470
Email : prasside@canisius.edu
 

    

Research Interests:

    High Dimensional Topology

    K-Theory

    Equivariant Topology

    Metric Topology

    Spectral Properties of Graphs

    Publiced Papers:

• Centralizers of Lie Algebras Associated to Descending Central Series of Certain Poly-Free Groups (joint work with Daniel C. Cohen and Fred Cohen), J. of Lie Theory, 17 (2007), 379--397.


• On Injective Homomorphisms for Pure Braid Groups, and Associated Lie Algebras (joint work with Fred Cohen), J. Algebra, 298 (2006), 363--370.


• Roundness Properties of Groups (joint work with Jean-Francois Lafont), Geom. Dedicata, 117 (2006), 137--160.


• On the nil-groups of Waldhausen's nils (joint work with Daniel Juan Pineda), Topology Appl., 146/147 (2005), 489-499.


• Equivariant Rigidity Theorems, (joint work with Gábor Moussong), New York Journal of Mathematics, 10 (2004), 151--167.


• On the uniform structure of quasi-normed spaces (joint work with Antony Weston), C. R. Math. Acad. Sci. Soc. R. Can., 26b> (2004), 25--32.


• On the exponent of NK₀-groups of virtually infinite cyclcic groups (joint work with F. X. Connolly), Bull. Can. Math. Soc., 45 (2002), 180--195.


• On the exponent of the forget-control map on K₀-groups (joint work with F.X. Connolly), Fund. Math., 172 (2002), 201--216.


• On the lower Waldhausen's Nil-groups (joint work with Daniel Juan Pineda), Forum Math., 13 (2001), 261--285.


• On the vanishing of certain K-theory Nil-groups (joint work with Hans J. Munkholm), ``Cohomological Methods in Homotopy Theory'', pp. 307--322. Barcelona Conference in Algebraic Topology, Barcelona, Spain 1998. Progress in Math. vol. 196, Birkhaeuser Verlag.


• Control and relaxation over the circle (joint work with Bruce Hughes), Memoirs of Amer. Math. Soc., 145 (2000), no. 691.


• Rigidity of Coxeter groups (joint work with Barry Spieler), Trans. Amer. Math. Soc., 352 (2000), no. 6, 2619--2642.


• Waldhausen's Nil-groups and continuously controlled K-theory (joint work with Hans J. Munkholm), Fund. Math., 161 (1999), 217-224.


• A split exact sequence of equivariant K-groups of virtually nilpotent groups, K-theory11 (1997), 397-415.


• Equivariant approximate fibrations, Math Forum, 7 (1995), 755-779.


• A formula for the equivariant topological torsion of a fiber homotopy equivalence, Michigan Math J. 42 (1995), 61-77.


• The Bass-Heller-Swan formula for the equivariant topological Whitehead group, K-theory 5 (1992), 395-448.


• Groups with infinite virtual cohomological dimension which act freely on , J. of Pure and Applied Algebra 78 (1992), 85-100.


• On Groups which act freely on (joint work with F. X. Connolly), Topology 28 (1989), 133-148.

    Accepted for Publication:

• Introduction to controlled topology and its applications, Proceedings of the Summer School, Hang Zhou 2007.


• Zeta functions of infinite graph bundles, (joint work with Samuel Cooper), Linear and Multilinear Algebra.


• Non-linear roundness in analysis, discrete geometry, and topology, (joint work with Antony Weston), `Geometric linearization of graphs and groups/ Limits of graphs in group theory and computer science', Goulnara Arjantseva, Alain Valette (editors).

    Submitted for Publication:

• Remarks concerning Lubotzky's filtration', (joint work with Fred Cohen, M. Conder, J. Lopez)


• Laplacians and Heat Kernels of directed graphs, (joint work with C. Brasseur and R. Grady).


• On the linearity of the holomorph group of a free group on two generators, (joint work with Fred Cohen, and V. Metaftsis).

    Preprints:

• Kazhdan's property (T) for graphs, (joint work with C. Brasseur and R. Grady).


• A Controlled Approach to the Isomorphism Cinjecture (joint work with Daniel Juan Pineda).


• Properties of the generalized zig-zag products of graphs, (joint work with Samuel Cooper and Dominic Dotterrer).


• The Heat Kernel of Homesick Random Walks on $k$-Regular Trees, (with Eric P. Lownes, Stefan P. Sabo).

    Teaching:

  
• MAT109-Section A: Calculus with Review I
  
• MAT109-Section C: Calculus with Review I
  
• MAT301: History of Mathematics

    Math Links at Canisius:

  
• Department of Mathematics & Statistics, Canisius College
  
• Math Seminars at Canisius

    Links Related to Mathematics:

ArXiv e-Print Archive: A very large database of papers and preprints.

K-theory Preprints: A long list of preprints related to K-theory.

Topology Atlas: Links of interest to topologists.

Münster University SFB 478 page.

Bielefeld University Preprint Series.

Preprint Series of the Department of Mathematics, Århus University.

Preprint Series of IMADA, University of Southern Denmark, Odense.

Preprint Series of MSRI.

Preprint Series of Max Plank Institute, Bonn.

Bruce Hughes' homepage.

Hans J. Munkholm's homepage.

Daniel Juan Pineda homepage

Erik K. Pedersen's homepage.

Andrew Ranicki's homepage.

Shmuel Weinberger's homepage.  

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    Links related to Linux OS:

http://www.ibiblio.org/pub/linux: Of course! Of particular interest are the Linux HOWTO's, the Linux Documentation Project (LDP), and the Linux System Manager (LSM).


• http://www.linux.org/: The Linux site.


• http://www.kernel.org/: The official site of Linux kernel.


• http://freshmeat.net/: A site for the most recent Linux shoftware.


• http://sourceforge.net/: A site of projects under development for Linux, Windows and Mac.


• http://www.debian.org/: The official site for the Debian distribution.


• http://www.ubuntu.com/: The official site for the Ubuntu distribution.


• http://www.mandriva.com/: The official site for the Madriva distribution.




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    Links to Greek Newspapers on Line:

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Updated October 8, 2008.

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