Felix Pogorzelski

Felix-Klein-Juniorprofessur für Mathematik, Universität Leipzig

 

Felix

Universität Leipzig,

Institut für Mathematik

Mathematisches Institut
Neues Augusteum A 431
Augustusplatz 10

04109 Leipzig

E-Mail: firstname.lastname@math.uni-leipzig.de

Phone: +49-341-97-32148

Welcome

Short CV

Preprints

Publications

Theses

Teaching

Talks






Welcome!

Hi! I am a Juniorprofessor at the Leipzig University math intstitute.
My reseach gravitates around dynamical systems of group actions,
combinatorial convergence theorems and geometry and spectral theory
of discrete structures. Have fun checking out my work on this website.

Current semester

AG Functional Analysis and Dynamical Systems

VL Funktionalanalysis

Some information on previously taught courses can be found in the
teaching section.



Short CV

since 2017: Felix-Klein-Juniorprofessor (tenure-track) for Mathematics, Universität Leipzig
2014-2017: Post-Doctoral Research Fellow, Technion Haifa (IL)
2011-2014: Doctoral studies in mathematics, Friedrich-Schiller-Universität Jena
2007-2008: Visiting student, Princeton University (USA)
2005-2010: Diploma studies in mathematics, Eberhard-Karls-Universität Tübingen

Preprints




"An improved discrete p-Hardy inequality"
(with Florian Fischer and Matthias Keller, submitted)

"From Hardy to Rellich inequalities on graphs"
(with Matthias Keller and Yehuda Pinchover, submitted)

"The Shannon-McMillan-Breiman theorem beyond amenable groups"
(with Amos Nevo, submitted)

"Aperiodic order and spherical diffraction, II: The shadow transform and the diffraction formula"
(with Michael Björklund and Tobias Hartnick, submitted)


Publications


"Delone dynamical systems and spectral convergence"
(with Siegfried Beckus, to appear in Ergod. Th. Dyn. Sys.)

"Criticality theory for Schrödinger operators on graphs"
(with Matthias Keller, Yehuda Pinchover, to appear in J. Spectral Theory)

"An improved discrete Hardy inequality"
(with Matthias Keller, Yehuda Pinchover, Amer. Math. Monthly 125 (4), pp. 347-350, 2018)

"Optimal Hardy inequalities for Schrödinger operators on graphs"
(with Matthias Keller and Yehuda Pinchover, Comm. Math. Phys. 358 (2), pp. 767-790, 2018)

"Aperiodic order and spherical diffraction, I: Auto-correlation of model sets"
(with Michael Björklund and Tobias Hartnick, Proc. Lond. Math. Soc. 116 (4), pp. 957-996, 2018)

"The Ihara Zeta function for infinite graphs"
(with Daniel Lenz and Marcel Schmidt, to appear in Trans. Amer. Math. Soc.)

"Diffusion on Delone sets"
(with Sebastian Haeseler, Xueping Huang and Daniel Lenz, J. Stat. Phys. 167 (6), pp. 1496-1510, 2017)

"Geometry and spectrum of rapidly branching graphs"
(with Matthias Keller and Florentin Münch, Math. Nachr. 289 (13), pp. 1636-1647, 2016)

"Sectional curvature of polygonal complexes with planar substructures"
(with Matthias Keller and Norbert Peyerimhoff, Adv. in Math. 307, pp. 1070-1107, 2017)

"Convergence theorems for graph sequences"
(Int. J. Algebra Comput. 24 (8), 2014)

"A Banach-space valued ergodic theorem for amenable groups and applications"
(with Fabian Schwarzenberger, J. d'Anal. Math. 130 (1), pp. 19-69, 2016)

"Spectrum of Lebesgue measure zero for Jacobi operators of quasicrystals"
(with Siegfried Beckus, Mathematical Physics, Analysis and Geometry 16 (3), pp. 289-308, 2013)

"Almost-additive ergodic theorems for amenable groups"
(J. Funct. Ana. 265 (8), pp. 1615-1666, 2013)
Addendum and Corrigendum

"Uniform existence of the integrated density of states on metric Cayley graphs"
(with Fabian Schwarzenberger and Christian Seifert, Lett. Math. Phy. 103 (9), pp. 1009-1028, 2013)

PhD thesis

"Banach space-valued ergodic theorems and spectral approximation", pdf


Diploma thesis

"Ergodic theorems on amenable groups", pdf


Teaching

Current: WS 2019/20

Vorlesung (4 SWS) "Funktionalanalysis", Mo 9:15-10:45 und Di 13:15-14:45, HS 5

Seite zur VL

Previous semesters

SoSe 2019

Seminar (2 SWS) "Analysis und Gruppen", Fr 26.4. und Sa 27.4., im Block 9-17 Uhr

WiSe 18/19

Vorlesung (4 SWS) "Harmonische Analysis", Mo und Mi 11:15-12:45, HS 19

Seminar (2 SWS) "Irrfahrten auf Graphen und Gruppen", Di 9:15-10:45, SG 3-11

SoSe 2018

Vorlesung (2 SWS) "Ergodentheorie II", Do 9:15-10:45, SG 2-14

Seminar (2 SWS) "Harmonische Analyse auf Heisenberg Gruppen", Mi 15:15-16:45, SG 3-13

WiSe 17/18

Vorlesung (4 SWS) "Ergodentheorie" (Uni Leipzig)

SoSe 2012

Seminar (2 SWS) "Ergodische Operatoren" (FSU Jena, mit Daniel Lenz)



Talks

10/2019 University of Science and Technology, Wroclaw (PL): "On the Shannon-McMillan-Breiman theorem beyond amenable groups"

07/2019 Jagellonian University, Krakow (PL): "On non-commutative quasicrystals"

04/2019 Ben Gurion University, Beer-Sheva (IL): "New developments on non-commutative quasicrystals"

09/2018 Conference "Groups, Spectral and L2-Invariants", Geneva (CH): "Approximation of spectral measures"

09/2018 Conference "Model Sets and Aperiodic Order", Durham (UK): "Approximation of spectral measures"

08/2018 Leipziger Schülergesellschaft für Mathematik (LSGM), Festvortrag Schuljahr 2018/19: "Echte Daten und Kreisdrehungen"

03/2018 Technion Haifa (IL): "On spectral approximation on Delone sets"

03/2018 Workshop "Quasicrystals, Delone sets and Generalizations of Lattices", Ohalo (IL): "Delone sets on groups - an introduction"

02/2018 Bernoulli center (CIB), EPFL Lausanne, Conference "Borel combinatorics and ergodic theory": "The Ihara zeta function for measured graphs"

12/2017 University of Leipzig, "52nd Seminar Sophus Lie: "Quasicrystals beyond abelian groups"

11/2017 University of Tuebingen, 5th Workshop "Operator Theoretic Aspects of Ergodic Theory": "On the dynamics of non-commutative quasicrystals"

11/2017 Leipzig, Max-Planck Institute for Mathematics in the Sciences: "Optimal Hardy weights on graphs"

10/2017 MFO Oberwolfach, Workshop "Spectral and Topological Methods in Mathematical Quasicrystals": "Quasicrystals beyond amenable groups"

08/2017 Conference "Analysis and Geometry on Graphs and Manifolds", Potsdam: "Optimal Hardy inequalities on graphs"

07/2017 Banff International Research Station (CA), Workshop "Mean dimension and sofic entropy meet dynamical systems": "Subadditive convergence via measured equivalence relations"

06/2017 Texas A& M University (USA), Conference "Ergodic theory and operator algebras":  "The Shannon-McMillan-Breiman theorem beyond amenable groups"

12/2016 KIT Karlsruhe: "Borel equivalence relations and subadditive convergence"

12/2016 KIT Karlsruhe, RTG Colloquium: "On entropy theory for non-amenable groups"

11/2016 Technion Haifa (IL), Colloquium Talk: "On cocycle entropy"

09/2016 MFO Oberwolfach, Conference "Measured Group Theory": "Subadditive convergence and cocycle entropy"

08/2016 University of Tübingen: "Kozykel Entropie"

06/2016 University of Leipzig: "Nichtkommutative Quasikristalle"

06/2016 University of Erlangen: "Non-commutative quasicrystals"

06/2016 University of Jena: "Non-commutative quasicrystals", two talks

06/2016 Dresden University of Technology: "On non-commutative quasicrystals"

06/2016 Israel Mathematical Union Annual Meeting (IL): "Non-commutative quasicrystals"

05/2016 Tel Aviv University (IL): "Non-commutative quasicrystals"

02/2016 Conference "Measured group theory", ESI Vienna: "Ihara's zeta function for measured graphs"

01/2016 University of Potsdam : "Taking the mean in groups without a mean"

11/2015 University of Potsdam: "News about entropy"

11/2015 University of Jena: "Towards quasicrystals in non-commutative spaces"

11/2015 University of Jena: "News about entropy"

10/2015 Technion Haifa (IL): "Quasicrystals and dynamical systems"

10/2015 MFO Oberwolfach, Arbeitsgemeinschaft "Mathematical Quasicrystals": Talk "Diffraction I"

06/2015 Tel Aviv University (IL): "Towards quasicrystals in non-commutative spaces"

06/2015 University of Haifa (IL), Colloqium: "Polygonal complexes and non-positive planar sectional curvature"

12/2014 Hebrew University, Jerusalem (IL): "A Banach space-valued ergodic theorem for amenable groups"

11/2014 Technion Haifa (IL): "Groups and spectral approximation"

08/2014 Chalmers University, Göteborg (S): "Almost-additive ergodic theorems for amenable groups"

05/2014 University of Jena: "Ihara's zeta function for big graphs"

03/2014 Conference "Fractal Geometry and Stochastics V", Tabarz: "The Ihara zeta function for infinite graphs"

03/2014 Universität Halle, Konferenz "Grüppchen": "Gruppen und Ergodensätze"

03/2014 Leipzig, Max-Planck Institute for Mathematics in the Sciences: "Ergodic theorems for almost-additive functions"

01/2014 Drei-Städte-Seminar, University of Leipzig: "Konvergenz diskreter Geometrien und spektrale Approximation"

01/2014 Chemnitz University of Technology: "Punktweise Ergodensätze für die freie Gruppe - der Ansatz von Bowen und Nevo"

11/2013 University of Hamburg: "Convergence theorems for graph sequences"

09/2013 Conference "Geometric and Analytic Group Theory", Ventotene (IT): "Graphs and spectral approximation"

07/2013 University of Leipzig: "Convergence theorems for graph sequences"

07/2013 University of Jena: "Graphs and spectral approximation"

05/2013 Eötvös Loránd University, Budapest (H): "Graphs and (non-)amenability"

01/2013 University of Jena: "Convergence theorems for graph sequences"

01/2013 Chemnitz University of Technology: "Convergence theorems for graph sequences"

12/2012 Center for Mathematics Modeling (CMM Universidad de Chile), Santiago de Chile (CL):
"An almost-additive ergodic theorem on amenable groups"

11/2012 Catholic University of Valparaíso (CL): "Almost-additive ergodic theorems on amenable groups"

10/2012 Hamburg-Harburg University of Technology: "Ergodic theorems and integrated density of states"

06/2012 University of Erlangen-Nürnberg (FAU Erlangen): "Fast-additive Ergodensätze für mittelbare Gruppen"

05/2012 Leipzig, Max-Planck Institute for Mathematics in the Sciences: "The existence of the integrated density
of states on amenable Cayley graphs"

01/2012 Chemnitz University of Technology: "A Banach space valued ergodic theorem for amenable groups"

07/2011 Chemnitz University of Technology: "The integrated density of states on amenable graphs",
   (Summer School "Graphs and Spectra")

06/2010 Kacov (CZ): "The Euler formula for strongly continuous semigroups",
  (13th TULKA Internet Seminar 'Gradient Systems')

05/2010 Delft University of Technology (NL): "Ergodic theorems on amenable groups"

05/2010 Chemnitz University of Technology: "Pointwise ergodic theorems on amenable groups"

06/2009 Blaubeuren: "The ergodic theoretical proof of the Szemeredi theorem",
  (12th TULKA Internet Seminar 'Ergodic Theory')