Math & Computer Science
Office Location: AC-2C07E
Degree Institution Field Dates PhD City University of New York Mathematics 2008 BS Indiana University Mathematics 2001
Areas of Expertise
- Heat equation and heat kernels on infinite graphs
Spectral graph theory
Connections between manifolds and graphs
Articles in Field Of Expertise
Matthias Keller, Daniel Lenz, Hendrik Vogt, Radoslaw Wojciechowski. "Note on basic features of large time behaviour of heat kernels." J. Reine Angew. Math. (Crelle's Journal). to appear: 17 pages.
Frank Bauer, Matthias Keller, Radosław K. Wojciechowski. "Cheeger inequalities for unbounded graph Laplacians." J. Eur. Math. Soc. (JEMS). to appear: 14 pages.
Sebastian Haeseler, Matthias Keller, Radoslaw K. Wojciechowski. "Volume growth and bounds for the essential spectrum for Dirichlet forms." J. London Math. Soc. (2). 88 2013: 883-898.
Xueping Huang, Matthias Keller, Jun Masamune, Radoslaw K. Wojciechowski. "A note on self-adjoint extensions of the Laplacian on weighted graphs." J. Funct. Anal.. 265, no. 8, 2013: 1556-1578.
Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski. "Volume growth, spectrum and stochastic completeness of infinite graphs." Math. Z.. 274, no. 3-4, 2013: 905-932.
Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radoslaw Wojciechowski. "Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions." J. Spectral Theory. 2, no. 4, 2012: 397-432.
Radoslaw K. Wojciechowski. "Heat kernel and essential spectrum of infinite graphs." Indiana Univ. Math. J.. 58, no. 3, 2009: 1419-1441.
Refereed Proceedings in Field Of Expertise
Radoslaw K. Wojciechowski. "Stochastically incomplete manifolds and graphs." Random walks, boundaries and spectra, Progr. Probab., Birkhauser/Springer Basel AG, Basel. vol. 64 2011: 163-179.
Presented Papers, Lectures, and Exhibitions and Performances
" Spectral properties and intrinsic metrics on infinite graphs " September 26, 2013: Nonlinear Analysis and PDEs Seminar, Graduate Center of the City University of New York.
" Intrinsic metrics on graphs " August 1, 2013: 36th Conference on Stochastic Processes an their Applications, University of Colorado Boulder.
" Intrinsic metrics on infinite graphs " July 19, 2013: London Mathematical Society -- EPSRC Durham Symposium on "Graph Theory and Interactions".
" Applications of intrinsic metrics to spectral problems on graphs " March 29, 2013: Analysis and Dynamics Seminar of the University of Denver.
" Graphs of unbounded geometry and intrinsic metrics " March 1, 2013: Analysis and Probability Seminar, University of Connecticut.
" Intrinsic metrics on weighted graphs " November 27, 2012: Differential Geometry Seminar, Graduate Center of the City University of New York.
" Intrinsic metrics on weighted graphs " October 23, 2012: Research Seminar, Department of Mathematics and Computer Science, Bronx Community College.
" Uniqueness of self-adjoint extensions of graph Laplacians " August 16, 2012: Seminar on Analysis, Geometry and Stochastics, Friedrich Schiller University of Jena, Germany.
" Heat kernels on graphs: symmetry and stochastic completeness " February 16, 2012: Probability Seminar, Department of Mathematics, University of Colorado Boulder.
" Symmetry, heat kernels, and spectrum of infinite weighted graphs " July 12, 2011: Research Seminar in Analysis, Friedrich Schiller University of Jena, Germany.
" Symmetry, heat kernels, and spectrum of infinite weighted graphs " July 5, 2011: Seminar of the Group of Mathematical Physics, Institute for Interdisciplinary Investigation of the University of Lisbon, Portugal.
" Dirichlet and Neumann Laplacians on infinite graphs " May 6, 2011: Penn State Altoona Mathematics Colloquium.
" Spherically symmetric graphs " July 2, 2010: Research Seminar in Analysis, Friedrich Schiller University of Jena, Germany.
" Spherically symmetric graphs " May 14, 2010: Geometric Analysis Research Seminar, Bielefeld University, Germany.
" Stochastic completeness of graphs " April 2, 2010: Conference on "Classical and Random Dynamics in Mathematical Physics," The University of Texas at Austin.
" Stochastically incomplete manifolds and graphs " March 23, 2010: Differential Geometry Seminar, Graduate Center of the City University of New York.
" Stochastically incomplete graphs " November 6, 2009: Geometry Seminar, Center of Mathematics and Fundamental Applications of the University of Lisbon, Portugal.
" Stochastic incompleteness of the heat kernel on graphs " July 4, 2009: Alp-Workshop, St. Kathrein, Austria.
" Properties of the heat kernel on graphs " June 3, 2009: Research Seminar in Analysis, Friedrich Schiller University of Jena, Germany.
" The heat equation on graphs " March 25, 2009: Seminar of the Group of Mathematical Physics, Interdisciplinary Complex of the University of Lisbon, Portugal.
Professional Honors, Prizes, Fellowships
Research Grant for Doctoral Students, Graduate Center, CUNY: 2007.
University Fellowships, Graduate Center, CUNY: 2003-2007.
Graduate Teaching Fellowship, BMCC: 2003-2005.
Science Fellowship, Graduate Center, CUNY,: 2001-2003.
Marie S. Wilcox Scholarship in Science, Indiana University: 2000-2001.
PSC-CUNY 43 Research Grant, Adapted metrics on graphs: essential self-adjointness and the bottom of the spectrum. 2012-2013: $3,499.64.
PSC-CUNY 42 Research Grant, Connections between continuous and discrete structures. 2011-2012: $3,499.64.
FCT - Fundação para a Ciência e a Tecnologia, Eigenvalues of the Laplacian: analytic, geometric and computational aspects (with C. Alves, P. Antunes, D. Borisov, P. Freitas (PR), and I. Salavessa). 2010-2013: 149,432.00€.
FCT - Fundação para a Ciência e a Tecnologia, Postdoctoral grant: SFRH/BPD/45419/2008. 2009-2010: 27,000.00€.
Other Professional Activities and Public Service
Member of the American Mathematical Society: 2001 to 2008, 2011 to present.