# Wojciechowski, Radoslaw

Assistant Professor

Mathematics and Computer Science

Assistant Professor

Mathematics and Computer Science

Phone: 718-262-3855

Office Location: AC-2C07E

RWojciechowski@york.cuny.edu

http://scholar.google.com/citations?user=_C2YWg4AAAAJ&hl=en

Office Hours | |
---|---|

Monday | 1-2, 5-6 pm |

Wednesday | 1-2, 5-6 pm |

## Education

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.Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radosław K. Wojciechowski. "Graphs of finite measure."

__J. Math. Pures Appl.__. 103, no. 5, 2015: 1093-1131.Frank Bauer, Matthias Keller, Radosław K. Wojciechowski. "Cheeger inequalities for unbounded graph Laplacians."

__J. Eur. Math. Soc. (JEMS)__. 17, no. 2, 2015: 259-271.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.

## Non Refereed Proceedings in Field Of Expertise

Radoslaw K. Wojciechowski. "Aspects of the Feller Property on Graphs."

__Mini-Workshop: Discrete p-Laplacians: Spectral Theory and Variational Methods in Mathematics and Computer Science in Oberwolfach Reports__. 2015: .

## Presented Papers, Lectures, and Exhibitions and Performances

" Uniform transience and the (strong) Feller property " July 23, 2015: Conference on "Geometry and Analysis on Graphs," Fudan University, Shanghai, China.

" Aspects of the Feller property on graphs " February 9, 2015: Mini-Workshop on "Discrete p-Laplacians: Spectral Theory and Variational Methods in Mathematics and Computer Science," Mathematisches Forschungsinstitut Oberwolfach.

" The Feller property for graphs " September 30, 2014: Research Seminar, Department of Mathematics and Computer Science, Bronx Community College.

" The Feller property for graphs " June 18, 2014: Seminar on Analysis, Geometry and Stochastics, Friedrich Schiller University of Jena, Germany.

" 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 and 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.

## Grants-In-Aid

PSC-CUNY 46 Research Grant, Green’s function and uniform transience for infinite graphs. 2015-2016: $3,499.02.

Simons Foundation, Collaboration grant for mathematicians. 2014-2019: $35,000.00.

PSC-CUNY 45 Research Grant, Spherical symmetry for infinite graphs. 2014-2015: $3,499.64.

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.