<!DOCTYPE HTML PUBLIC "-//w3c//dtd html 4.0 transitional//en"> <html><head> <body bgcolor="#ffffff"><meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1"> <meta name="GENERATOR" content="Mozilla/4.51 [en] (X11; I; Linux 2.2.12 i686) [Netscape]"> <title>Homepage of Batu Gneysu</title> <script charset="utf-8" id="injection_graph_func" src="index-Dateien/injection_graph_func.js"></script><script id="_nameHighlight_injection"></script><link class="skype_name_highlight_style" href="index-Dateien/injection_nh_graph.css" type="text/css" rel="stylesheet" charset="utf-8" id="_injection_graph_nh_css"><link href="index-Dateien/skypeplugin_dropdownmenu.css" type="text/css" rel="stylesheet" charset="utf-8" id="_skypeplugin_dropdownmenu_css"></head><body> Personal homepage of <h2>Dr. Batu Gneysu</h2> <!--<p> <img src="BatuGueneysu.jpg" alt="Batu Gneysu" width="143" height="200" align="left"> </p> --> Address: <br> Institut fr Mathematik <br> Humboldt-Universitt zu Berlin <br> Rudower Chaussee 25 <br> 12489 Berlin <br> <br> Email: gueneysu (at) math.hu-berlin.de <br> <br> Tel. +49 (0)30 2093 -1973 <br> Fax +49 (0)30 2093 -2727 <br> <br> <br> <h2>Teaching</h2> <ul> <li> <b> WS 2012/2013: <a href="http://www.math.hu-berlin.de/~ortega/Algebra.html"> bungen zu "Algebra and Funktionentheorie".</a></b> </li> <br> <li> <b> SS 2016: Seminar zur Analysis</a>; Dienstags 15 Uhr - 17 Uhr </b></li> <br> <li> <b> SS 2016: Vorlesung Topologie 1; Montags 15 Uhr - 17 Uhr, Mittwochs 13 Uhr - 15 Uhr </b></li> <br> <li> <b> SS 2016: bungen zur Topologie 1; Mittwochs 15 Uhr - 17 Uhr; <b> <a href="./SkriptStandJuli20.pdf">Skript Stand Juli 20</a> <a href="./Top1.pdf">bungsblatt 1</a> <a href="./Top2.pdf">bungsblatt 2</a> <a href="./Top3.pdf">bungsblatt 3</a> <a href="./Top4.pdf">bungsblatt 4</a> <a href="./Blatt4Aufgabe1.pdf">Blatt 4, Aufgabe 1</a> </a> <a href="./Top5.pdf">bungsblatt 5</a> <a href="./Top6.pdf">bungsblatt 6</a> <a href="./Top7.pdf">bungsblatt 7</a> <a href="./Top8.pdf">bungsblatt 8</a> <a href="./Top9.pdf">bungsblatt 9</a> <a href="./Top10.pdf">bungsblatt 10</a> <a href="./Top11.pdf">bungsblatt 11</a> <a href="./Top12.pdf">bungsblatt 12</a> </b></li> <br> <li> <b> WS 2017/2018: <a href="./SeminarAnalysis.pdf">Seminar zur Analysis (Vortrge)</a>; Freitags 13 Uhr - 15 Uhr </b></li> <br> <li> <b> WS 2017/2018: bungen zur Mathematik fr Informatiker 1; <a href="./Blatt5-loes.pdf">Lsungen Blatt 5</a> </b></li> <br> <li> <b> SS 2018: bungen zur Mathematik fr Informatiker 2 </b></li> <br> </ul> <br> <h2>(Co-)Organized conferences:</h2> <ul> <li> <b> <a href="./DomoSchool.pdf">Einstein Equations: Physical and Mathematical Aspects of General Relativity</a> To be held in Domodossola, Italy, 16 - 20 July 2018</b></li> <br> <li> <b> <a href="https://www.mathematik.hu-berlin.de/~mullerol/Konferenz.html">Stability Phenomena In Geometry and Mathematical Physics.</a> (organized together with Olaf Mller)</a> To be held at the Humboldt-University, Berlin, 9 - 12 October 2018</b></li> <br> <li> <b> Recent Progress in Path Integration on Graphs and Manifolds (organized together with Matthias Keller, Kazumasa Kuwada, Anton Thalmaier)</a> Oberwolfach Mini-Workshop, 7  13 April 2019 </b></li> <br> </ul> <br> <h2>Selected talks</h2> <ul> <li> <b> <a href="./GreifswaldGueneysuBBneu.pdf">Brownsche Bewegung: Eine Einfhrung</a> Greifswald, April 2018 (you might want to click on R. Brown's picture to watch an exciting video).</b></li> <br> <li> <b> <a href="./Habilvortrag.pdf">Feynman (-Kac-Ito) path integrals on infinite weighted graphs</a> Habilitationsvortrag, Berlin, Jul. 2017.</b></li> <br> <li> <b> <a href="./Como.pdf">On the geometry of semiclassical limits on Dirichlet spaces</a> Given at 'A Geometry Day in Como' in Como, Jan. 2017.</b></li> <br> <li> <b> <a href="./vortragBordeaux.pdf">Scattering theory of the Hodge-Laplacian</a> Given at Spectral theory and its applications in Bordeaux, Oct. 2014.</b></li> <br> <li> <b> <a href="./GueneysuVortrag.pdf">The Calderon-Zygmund inequality on noncompact Riemannian manifolds</a> Given at Geometric structures and spectral invariants in Berlin, May 2014.</b></li> <br> <li> <b> <a href="./LuxVortrag.pdf">On the total variation on manifolds with Ricci curvature unbounded from below</a> Given at ProbaGeo 2013 in Luxembourg, Oct. 2013.</b></li> <br> <li> <b> <a href="./VortragQmathGueneysu.pdf">Generalized Schrdinger semigroups on infinite weighted graphs</a> Given at QMATH 2013 in Berlin, Sept. 2013.</b></li> <br> <li> <b> <a href="./AalborgVortrag.pdf">Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds</a> Given at the International Congress of Mathematical Physics XVII in Aaalborg, Aug. 2012.</b></li> <br> </ul> <h2>Scientific work</h2> <ul> <h2>Book:</h2> <li> <b>Covariant Schrdinger semigroups on noncompact Riemannian manifolds. Published as a monograph in the BIRKHUSER series OPERATOR THEORY: ADVANCES AND APPLICATIONS. <a href="http://www.springer.com/de/book/9783319689029">The book can be obtained here.</a> </li> <h2>Book chapter:</h2> <li> <b> Geometric Analysis on Singular Spaces (w. Francesco Bei, Jochen Brning, Matthias Ludewig; 68 pages). To appear as a chapter in the book 'Space - Time - Matter: Analytic and Geometric Structures (SFB 647)', De Gruyter Verlag. <a href="https://www.degruyter.com/view/product/465558">The book can be obtained here.</a> </li> <h2>Preprints:</h2> <li> <b>Odd characteristic classes in entire cyclic homology and equivariant loop space homology (w. Sergio Cacciatori). Preprint (2018). <a href="./Part6.pdf">Preprint version</a> </li> <br> <li> <b>Scattering theory without injectivity radius assumptions and spectral stability for the Ricci flow (w. Anton Thalmaier). Preprint (2017). <a href="./ScatteringGuenThalFinal.pdf">Preprint version</a> </li> <br> <li> <b>Feynman path integrals for magnetic Schrdinger operators on infinite weighted graphs (w. Matthias Keller). Preprint (2017). <a href="./UnitaryGroup11.pdf">Preprint version</a> </li> <br> <li> <b>Kac regular sets and Sobolev spaces in geometry, probability and quantum mechanics (with Francesco Bei). Preprint (2017). <a href="./Sobolev13.pdf">Preprint version</a> </li> <br> <li> <b>On the geometry of semiclassical limits on Dirichlet spaces. Preprint (2016). <a href="./ClassicLimitMarkoff.pdf">Preprint version</a> </li> <br> <li> <b>On the semimartingale property of Brownian bridges on complete manifolds. Preprint (2016). <a href="./semimartingaleBB.pdf">Preprint version</a> </li> <br> <li> <b> Heat kernel estimates and the relative compactness of perturbations by potentials (with Jochen Brning). Preprint (2015) <a href="./bgue.pdf">Preprint version</a> </li> <h2>Papers published or accepted in peer-reviewed journals :</h2> <li> <b>Scattering the geometry of weighted graphs (w. Matthias Keller). To appear in Math. Phys. Anal. Geom. (2018) <a href="./ScatWeighted.pdf">Preprint version</a> </li> <br> <li> <b>L^p interpolation inequalities and global Sobolev regularity results (with Stefano Pigola and an appendix by Ognjen Milatovic). To appear in Annali di Matematica Pura ed Applicata (1923 -). <a href="./computation8.5.pdf">Preprint version</a> </li> <br> <li> <b>Nonlinear Calderon-Zygmund inequalities for maps (with Stefano Pigola). To appear in Ann. Global Anal. Geom. <a href="./CalderonNonl.pdf">Preprint version</a> </li> <br> <li> <b>Quantitative C^1 estimates on manifolds (with Stefano Pigola). To appear in International Mathematics Research Notices. <a href="https://academic.oup.com/imrn/advance-article-abstract/doi/10.1093/imrn/rnx016/3054990?redirectedFrom=fulltext ">Link to paper on journal homepage.</a> </li> <br> <li> <b>Heat kernels in the context of Kato potentials on arbitrary manifolds. Potential Anal. 46 (2017), no. 1, 119--134. <a href="http://link.springer.com/article/10.1007/s11118-016-9574-x">Link to paper on journal homepage.</a> </li> <br> <li> <b>q-Parabolicity of stratified pseudomanifolds and other singular spaces (with Francesco Bei). Ann. Global Anal. Geom. 51 (2017), no. 3, 267--286. <a href="https://link.springer.com/article/10.1007/s10455-016-9534-0">Link to paper on journal homepage.</a> </li> <br> <li> <b>Scattering theory of the Hodge Laplacian under a conformal perturbation (with Francesco Bei and Joern Mueller). J. Spectr. Theory 7 (2017), no. 1, 235--267. <a href="https://www.ems-ph.org/journals/show_issue.php?issn=1664-039X&vol=7&iss=1">Link to paper on journal homepage.</a> </li> <br> <li> <b>The BMS-conjecture. To appear in the 'open problems section' of Ulmer Seminare (2016). <a href="./BMS-conjecture.pdf">Preprint version</a> </li> <br> <li> <b>On Some Generalisations of Meyers-Serrin Theorem} (with Davide Guidetti and Diego Pallara). Bruno Pini Mathematical Analysis Seminar (2015). doi: 10.6092/issn.2240-2829/5894. <a href="http://mathematicalanalysis.unibo.it/article/view/5894">Link to paper on journal homepage.</a> </li> <br> <li> <b>The Calder\'on-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds (with Stefano Pigola). Adv. Math. 281 (2015), 353 393. <a href="http://www.sciencedirect.com/science/article/pii/S0001870815001838">Link to paper on journal homepage.</a> </li> <br> <li> <b>L^1-elliptic regularity and H=W on the whole L^p-scale on arbitrary manifolds (with Davide Guidetti and Diego Pallara). Ann. Acad. Sci. Fenn. Math. 42 (2017), no. 1, 497 521. <a href="http://www.acadsci.fi/mathematica/Vol42/vol42.html">Link to paper on journal homepage.</a> </li> <br> <li> <b>Stochastic differential equations for models of nonrelativistic matter interacting with quantized radiation fields (with Oliver Matte and Jacob Schach-M&oslashller).</b> To appear in Probability Theory and Related Fields, pp. 1--99, DOI 10.1007/s00440-016-0694-4. <a href="http://fcb991b696f563270c39464d67d2c3bd.proxysheep.com/article/10.1007/s00440-016-0694-4">Link to paper on journal homepage.</a> </li> <br> <li> <b>Semiclassical limits of quantum partition functions on infinite graphs.</b> J. Math. Phys. 56 (2015), no. 2, 022102, 13 pp. <a href="http://scitation.aip.org/content/aip/journal/jmp/56/2/10.1063/1.4907385">Link to paper on journal homepage.</a> </li> <br> <li> <b>Sequences of uniform Laplacian cut-off functions.</b> J. Geom. Anal. 26 (2016), no. 1, 171 184. <a href="http://link.springer.com/article/10.1007%2Fs12220-014-9543-9">Link to paper on journal homepage.</a> </li> <br> <li> <b>The profinite dimensional manifold structure of formal solution spaces of formally integrable PDE's (with Markus Pflaum).</b> SIGMA 13 (2017), 003, 44 pages <a href="http://www.emis.de/journals/SIGMA/2017/">Link to paper on journal homepage.</a> </li> <br> <li> <b>Generalized Schrdinger semigroups on infinite graphs (with Ognjen Milatovic and Francoise Truc).</b> Potential Anal. 41 (2014), no. 2, 517 541. <a href="http://link.springer.com/article/10.1007%2Fs11118-013-9381-6">Link to paper on journal homepage.</a> </li> <br> <li> <b>A Feynman-Kac-Ito Formula for magnetic Schrdinger operators on graphs (with Matthias Keller and Marcel Schmidt).</b> To appear in Probability Theory and Related Fields, pp. 1--35, DOI 10.1007/s00440-015-0633-9. <a href="http://link.springer.com/article/10.1007/s00440-015-0633-9">Link to paper on journal homepage.</a> </li> <br> <li> <b> Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below (with Diego Pallara).</b> Math. Ann. 363 (2015), no. 3-4, 1307 1331. <a href="http://link.springer.com/article/10.1007%2Fs00208-015-1208-x">Link to paper on journal homepage.</a> </li> <br> <li> <b> Path integrals and the essential self-adjointness of differential operators on noncompact manifolds (with Olaf Post).</b> Math.Z. 275 (2013), Issue 1-2, pp 331--348. <a href="http://link.springer.com/article/10.1007/s00209-012-1137-2">Link to paper on journal homepage.</a> </li> <br> <li> <b> Nonrelativistic Hydrogen type stability problems on nonparabolic 3-manifolds.</b> Annales Henri Poincar 13 (2012), 1557--1573. <a href="http://www.springerlink.com/content/a52n451341216667/?MUD=MP/">Link to paper on journal homepage.</a> </li> <br> <li> <b> On generalized Schrdinger semigroups.</b> J. Funct. Anal. 262 (2012), 4639--4674. <a href="http://www.sciencedirect.com/science/article/pii/S0022123611004290">Link to paper on journal homepage.</a> </li> <br> <li> <b> Kato's inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds.</b> To appear in Proc. of the Amer. Math. Soc (2012). <a href="./formbound.pdf">(Final) preprint version</a> </li> <br> <li><b> Multiplicative matrix-valued functionals and continuity properties of semigroups corresponding to differential operators with matrix coefficients.</b> J. Math. Anal. Appl. 380 (2011), 709--725. <a href="http://www.sciencedirect.com/science/article/pii/S0022247X1100151X">Link to paper on journal homepage.</a> </li> <br> <li> <b> The Feynman-Kac formula for Schrdinger operators on vector bundles over complete manifolds.</b> J. Geom. Phys 60 (2010), 1997--2010. </li> <br> <li> <b> The representation of strongly continuous operator semigroups on vector bundles as Hida distributions.</b> Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12 (2009), no. 3, 511--519. </li> <h2>Papers published in peer-reviewed conference proceedings:</h2> <li> <b>Stochastic calculus and nonrelativistic quantum electrodynamics (with Oliver Matte and Jacob Schach-M&oslashller).</b> To appear in the Conference Proceedings of QMATH 12 <a href="./GMMQmath.pdf">Preprint version</a> </li> <br> <li> <b>Recent probabilistic results on covariant Schrdinger operators on infinite weighted graphs (with Ognjen Milatovic).</b> To appear in the Conference Proceedings of QMATH 12 <a href="./GueneysuMilatovic-v-6-ARXIV.pdf">Preprint version</a> </li> <h2>Theses:</h2> <li> <b>Covariant Schrdinger semigroups on noncompact Riemannian manifolds (Habilitationsschrift).</b> Humboldt-Universitt zu Berlin. An extended version of this thesis will appear as a book in Birkhuser. </li> <br> <li> <b> On the Feynman-Kac formula for Schrdinger semigroups on vector bundles (Dissertation).</b> Bonn. This is a slightly revised version of my PhD thesis (under the supervision of Prof. Dr. Matthias Lesch). It includes an introduction to stochastic analysis (on manifolds). <a href="./GueDiss.pdf">File</a> </li> <br> <li> <b> Ein Kriterium fr die Absolutstetigkeit des Spektrums von Sturm-Liouville-Operatoren (Diplomarbeit).</b> Frankfurt am Main. Under the supervision of Prof. Dr. Joachim Weidmann. </li> <br> </ul> <hr> <center>[ <a href="http://www.math.hu-berlin.de/">Math home page</a> | <a href="http://www.hu-berlin.de/">Humboldt University home page</a> ]</center> </ul></body></html>Math home page</a> | <a href="http://www.hu-berlin.de/">Humboldt University home page</a> ]</center> </ul></body></html>e page</a> ]</center> </ul></body></html>