ÿþ<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"> <html> <meta http-equiv="Content-Language" content="pl" /> <meta name="Author" content="Adam Skalski" /> <head> <meta http-equiv="Content-type" content="text/html; charset=iso-8859-2" /> <title>Adam Skalski Web Page</title> </head> <body bgcolor="#FFFFCC" text="#000000" link="#0000FF" vlink="#000080"> <table > <td> <img src="ad.jpeg" width="120" height="180" border="0" alt="Rozmiar: 71802 bajtów" title="Rozmiar: 71802 bajtów" /></td><td><p align="left"><small><b> Adam Skalski<br> Marie Curie Fellow <br> Institute of Mathematics <br> Polish Academy of Sciences <br> Intra-European Fellowship: `Probability on Quantum Groups' <br> </b> </p> </td> </table> <table><table width="100%" cellpadding="8" cellspacing="8" rules="all" > <tr> <td valign="top" width="20%" bgcolor="#FFFF99"> <b><small>Address:</small></b></td> <td> <small> Institute of Mathematics<br> Polish Academy of Sciences <br> ul. &#346;niadeckich 8 <br> 00-956 Warszawa <br> Poland</small> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small>E-mail:</b></td> <td><small> a.skalski <i>at</i> impan.pl </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"> <b><small>Page contents: </b></td> <td> <small> <a href="#Professional interests">Research interests </a><br /> <a href="#Conference plans">Conference plans</a><br /> <a href="#Published papers">Published papers</a><br /> <a href="#Preprints">Preprints</a><br /> <a href="#Varia">Various mathematical writings</a><br /> <a href="#A short CV">A short CV <br /> <a href="#Doctoral thesis">Doctoral thesis</a><br /> <a href="#Links">Links<br /> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="Professional interests"> Research interests</a>: </b></td> <td> <ul compact><small> <li>topological quantum groups, quantum symmetry groups</li> <li>probability on quantum groups</li> <li>topological entropy and approximation properties for C*-algebras </li> <li>quantum stochastic processes</li> <li> various aspects of dilation theory </li> <li>noncommutative measure theory (ergodic limit theorems)</li> <li>noncommutative L<sup>p</sup>-spaces </li> </ul> <p align="right"><small><a href="index.html"> back to top </a></p> </li> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="Conference plans"> Conferences/meetings/research trips planned</a>: </b></td> <td> <ul compact><small> <li> <a href="http://www.wmi.amu.edu.pl/Default.aspx?tabid=87"> Annual lecture in memory of Wojtek Pulikowski</a>, Pozna&#324;, 25th May 2012. </li> <li> <a href="http://www.mn.uio.no/math/english/research/projects/operatoralgebra/events/conferences/ncgqg-2012/"> Noncommutative geometry and quantum groups</a>, Oslo, 11th-15th June 2012. </li> <li> A research visit to the University Cergy-Pontoise, France, 16th - 30th June 2012. </li> <li> <a href="http://off-festival.pl/en/2012/"> Off-Festival</a>, Katowice, 2nd-6th August 2012. </li> <li> A Research in Pairs visit at the MFO, Oberwolfach, Germany, 19th August - 1st September 2012 (with Matthias Neufang, Pekka Salmi and Nico Spronk). </li> <li> <a href="http://users.aber.ac.uk/cck/2012LMS/"> Quantum Probabilistic Symmetries</a>, Aberystwyth, 3rd-7th September 2012. </li> <li> <a href="http://www.isibang.ac.in/~jay/rota.html">Recent advances in Operator Theory and Operator Algebras</a>, Bangalore, 31st December 2012 - 11th January 2013. </li> </ul> <p align="right"><small><a href="index.html"> back to top </a></p> </li> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small> <a name="Published papers">Published papers</a>: </b></td> <td> <small> <ol compact> <li>On the unconditional bundle convergence in L<sup>2</sup>-space over a von Neumann algebra, <i> Probability and Mathematical Statistics</i>, <b>22</b> (2002), pp. 19-27 <a href="http://www.ams.org/mathscinet/search/publdoc.html?pg1=IID&s1=705797&vfpref=html&r=15&mx-pid=1944140">(MR1944140)</a>. <li> A few results in noncommutative ergodic theory (with V.I. Chilin and S. Litvinov), <i> Journal of Operator Theory</i>, <b>53</b> (2005) no.2, 331-350 <a href="http://www.ams.org/mathscinet/search/publdoc.html?pg1=IID&s1=705797&vfpref=html&r=13&mx-pid=2153152">(MR2153152)</a>. <li>Quantum stochastic convolution cocycles I (with J.M. Lindsay), <i>Annales de l`Institute Henri Poincaré, Probabilités et Statistiques</i>, <b>41</b> (2005) no.3 (En homage a P.-A. Meyer), 581-604 <a href="http://www.ams.org/mathscinet/search/publdoc.html?pg1=IID&s1=705797&vfpref=html&r=14&mx-pid=2139034">(MR2139034)</a> . <li> On a classical scheme in noncommutative multiparameter ergodic theory, <i>in</i> "Quantum Probability and Infinite Dimensional Analysis," QP-PQ 18, (M. Schurmann & U. Franz, eds.), World Scientific, Singapore 2005, pp. 473-491 (available <a href="http://arxiv.org/abs/math.OA/0605299"> here</a>). <li> Quantum stochastic convolution cocycles - algebraic and C*-algebraic (with J.M. Lindsay), <i> Banach Center Publications,</i> <b>73</b> (2006), 313-324 <a href="http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=AUCN&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=skalski&s5=&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=12&mx-pid=2423137"> (MR2423137)</a>.</li> <li> On quantum stochastic differential equations (with J.M. Lindsay), <i>Journal of Mathematical Analysis and Applications</i>, <b>330</b> (2007), no.2, 1093-1114 (available <a href="http://arxiv.org/abs/1101.0175"> here</a>). </li> <li>Completely positive quantum stochastic convolution cocycles and their dilations, <i> Mathematical Proceedings of the Cambridge Philosophical Society</i>, <b>143</b> (2007), 201-219 (an earlier version available <a href="http://arxiv.org/abs/math.OA/0611271"> here</a>).</li> <li> Entropy of shifts in higher rank graph C*-algebras (with J. Zacharias), <i> Houston Journal of Mathematics</i>, <b>34</b> (2008), no.1, 269-282 (available <a href="http://arxiv.org/abs/math.OA/0605228"> here</a>).</li> <li> Wold decomposition for representations of product systems of C*-correspondences (with J.Zacharias), <i> International Journal of Mathematics</i>, <b>19</b> (2008), no.4, 455-479 (an earlier version available <a href="http://arxiv.org/abs/math.OA/0702649"> here</a>). <li> The Banach Principle for ideal convergence in the classical and noncommutative context (with G.Horbaczewska), <i> Journal of Mathematical Analysis and Applications</i>, <b>342</b> (2008), no.2, 1332-1341 (an earlier version available <a href="http://www.math.uni.lodz.pl/preprints/2007/17/BanachIdPrincipleHS.pdf"> here</a>). <li> Quantum stochastic convolution cocycles II (with J.M. Lindsay), <i> Communications in Mathematical Physics</i>, <b>280</b> (2008), no.3, 575-610 (an earlier version available <a href="http://arxiv.org/abs/math.OA/0611497"> here</a>).</li> <li> On ergodic properties of convolution operators associated with compact quantum groups (with U.Franz), <i> Colloquium Mathematicum</i>, <b>113</b> (2008), no.3, 13-23 (an earlier version available <a href="compactergrev.pdf"> here</a>). <li> Approximation of quantum Levy processes by quantum random walks (with U.Franz), <i> Proceedings of the Indian Academy of Sciences. Mathematical Sciences,</i> <b>118</b> (2008), no.2, 281-288 (available via the <a href="http://www.ias.ac.in/mathsci/"> journal's website</a>). </li> <li> Noncommutative topological entropy of endomorphisms of Cuntz algebras (with J.Zacharias), <i> Letters in Mathematical Physics </i>, <b>86</b> (2008), no.2, 115-134 (an earlier version available <a href="http://arxiv.org/abs/0804.4373"> here</a>). </li> <li> On spectral triples and quasidiagonality (with J.Zacharias), <i> Expositiones Mathematicae</i>, <b>27</b> (2009), no.2, 137-141 (available <a href="http://arxiv.org/abs/0810.5363"> here</a>). </li> <li> On idempotent states on quantum groups (with U.Franz), <i> Journal of Algebra</i>, <b>322</b> (2009), no.5, 1774-1802 (an earlier version available <a href="http://arxiv.org/abs/0808.1683"> here</a>). </li> <li> A new characterisation of idempotent states on finite and compact quantum groups (with U.Franz), <i> Comptes Rendus Mathematique</i>, <b>347 </b> (2009), no.17-18, 991-996 (expanded version available <a href="http://arxiv.org/abs/0906.2362"> here</a>). </li> <li>On isometric dilations of product systems of C*-correspondences and applications to families of contractions associated to higher-rank graphs, <i> Indiana University Mathematics Journal</i>, <b>58</b> (2009), no.5, 2227-2252 (an earlier version available <a href="http://arxiv.org/abs/0809.4348"> here</a>). </li> <li> On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules (with J.Zacharias), <i> Rocky Mountains Journal of Mathematics</i>, <b>40</b> (2010), no.2, 609-625 (an earlier version available <a href="http://arxiv.org/abs/math.OA/0607628"> here</a>). </li> <li> Poisson transform on higher rank graph algebras and its applications (with J.Zacharias), <i>Journal of Operator Theory</i>, <b> 63</b> (2010), no.2, 425-454 (an earlier version available <a href="http://arxiv.org/abs/0707.1292"> here</a>). <li> Quantum isometry groups of noncommutative manifolds associated to group C*-algebras (with J.Bhowmick), <i> Journal of Geometry and Physics</i>, <b> 60</b> (2010), no.10, 1474-1489 (an earlier version available <a href="http://arxiv.org/abs/1002.2551"> here</a>). </li> <li> Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups (with J.Zacharias), <i> Journal of the London Mathematical Society</i>, <b> 82</b> (2010), no.1, 184-202 (an earlier version available <a href="http://arxiv.org/abs/0807.2827"> here</a>). </li> <li> Probability on topological quantum groups (in Polish), <i> Wiadomosci Matematyczne </i> <b> 46 </b> (2010), no.2, 163-196. </li> <li> Quantum isometry groups of 0-dimensional manifolds (with J.Bhowmick and D.Goswami), <i> Transactions of AMS</i>, <b> 363</b> (2011), 901-921 (an earlier version available <a href="http://arxiv.org/abs/0807.4288"> here</a>). </li> <li> Convolution semigroups of states (with J.M.Lindsay), <i> Mathematische Zeitschrift</i> <b> 267 </b> (2011), 325-339 (an earlier version available <a href="http://arxiv.org/abs/0905.1296"> here</a>). </li> <li> Two-parameter families of quantum symmetry groups (with T.Banica), <i> Journal of Functional Analysis</i> <b> 260 </b> (2011), no.11, 3252-3282 (available <a href="http://arxiv.org/abs/1009.4845"> here</a>). </li> <li> On automorphisms of C*-algebras whose Voiculescu entropy is genuinely noncommutative, <i> Ergodic Theory and Dynamical Systems</i> <b> 31 </b> (2011), 951-954 (an earlier version available <a href="http://arxiv.org/abs/0911.3951"> here</a>). </li> <li> Noncommutative topological entropy of endomorphisms of Cuntz algebras II, <i> Publications of the Research Institute of Mathematical Sciences</i> <b> 47 </b> (2011), 887-896 (an earlier version available <a href="http://arxiv.org/abs/1002.2276"> here</a>). </li> <li> On Invariant MASAs for Endomorphisms of the Cuntz Algebras (with J.H.Hong and W.SzymaDski), <i> Indiana University Mathematics Journal</i> <b> 59 </b> (2010), no.6, 1873-1892 (an earlier version available <a href="http://arxiv.org/abs/1001.1899"> here</a>). </li> <li> A vacuum-adapted approach to quantum Feynman-Kac formulae (with A. Belton and J.M.Lindsay), <i> Communications in Stochastic Analysis</i> <b>6 </b> (2012), no.1 (Special issue dedicated to Professor K.R.Parthasarathy), 95-109 (an earlier version available <a href="http://arxiv.org/abs/arXiv:1202.5241"> here</a>). </li> <li> Quantum stochastic convolution cocycles III (with J.M.Lindsay), <i> Mathematische Annalen</i> <b> 352 </b> (2012), no.4, 779-804 (an earlier version available <a href="http://arxiv.org/abs/0905.2410"> here</a>). </li> <li> Noncommutative homogeneous spaces: the matrix case (with T. Banica and P.So&#322;tan), <i> Journal of Geometry and Physics </i> <b>62 </b> (2012), no.6, 1451-1466 (an earlier version available <a href="http://arxiv.org/abs/arXiv:1109.6162"> here</a>). </li> <li> Idempotent states and the inner linearity property (with T.Banica and U.Franz), <i> Bulletin of the Polish Academy of Sciences, Mathematics </i> <b> 60 </b> (2012), 123-132 (an earlier version available <a href="http://arxiv.org/abs/1112.5018"> here</a>). </li> <li> Quantum isometry groups of duals of free powers of cyclic groups (with T.Banica), <i> International Mathematics Research Notices</i> <b>9 </b> (2012), no.6, 2094-2122 (an earlier version available <a href="http://arxiv.org/abs/1011.5400"> here</a>). </li> </ol> <p align="right"><small><a href="index.html"> back to top </a></p> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="Preprints">Preprints</a>: </b></td> <td> <small> <ol compact> <li> Idempotent states on the compact quantum groups and their classification on U<sub>q</sub>(2), SU<sub>q</sub>(2), and SO<sub>q</sub>(3) (with U.Franz and R.Tomatsu, 32 pp.), to appear in <i> Journal of Noncommutative Geometry</i>, available <a href="http://arxiv.org/abs/0903.2363"> here</a>. </li> <li> Idempotent states on locally compact quantum groups (with P.Salmi, 22 pp.), to appear in <i> Quarterly Journal of Mathematics</i>, available <a href="http://arxiv.org/abs/arXiv:1102.2051"> here</a>. </li> <li> On square roots of the Haar state on compact quantum groups (with U.Franz and R.Tomatsu, 23 pp.), to appear in <i> Journal of Pure and Applied Algebra</i>, available <a href="http://arxiv.org/abs/1012.2004"> here</a>. </li> <li> The quantum permutation group of an infinite countable set (with D.Goswami, 14 pp.), available <a href="http://arxiv.org/abs/1009.4726"> here</a>. </li> <li> Spectral triples on crossed products arising from equicontinuous actions (with A.Hawkins, S.White and J.Zacharias, 19 pp.), available <a href="http://arxiv.org/abs/arXiv:1103.6199"> here</a>. </li> <li> Quantum symmetry groups of C*-algebras equipped with orthogonal filtrations (with T. Banica, 31 pp.), available <a href="http://arxiv.org/abs/arXiv::1109.6184"> here</a>. </li> <li> Quantum random walk approximation on locally compact quantum groups (with J.M.Lindsay, 8 pp.) available <a href="http://arxiv.org/abs/1110.3990"> here</a>. </li> <li> Quantum Feynman-Kac perturbations (with A. Belton and J.M.Lindsay, 25 pp.), available <a href="http://arxiv.org/abs/1202.6489"> here</a>. </li> <li> Closed quantum subgroups of locally compact quantum groups (with M.Daws, P. Kasprzak and P.So&#322;tan, 24 pp.), available <a href="http://arxiv.org/abs/1203.5063"> here</a>. </li> </ol> <p align="right"><small><a href="index.html"> back to top </a></p> </td> </tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="Varia">Various writings:</a> </b></td> <td> <small> <ul compact><li>`Is There a Pattern?' (a popular article about searching for patterns in pi), published in February 2008 in Resonance (a journal of Indian Academy of Science) in February 2008, available from <a href="http://www.ias.ac.in/resonance/"> the journal's website.</a> </li> <li> `Isometric dilations of representations of product systems of C*-correspondences over N_0^k' - Oberwolfach Workshop Reports 2009/09, Mini-Workshop: Product Systems and Independence in Quantum Dynamics, pp.531-533 (available <a href="MFOabstract2009.pdf"> here</a>). </li> <li> `Christensen-Evans Theorem on quasi-innerness of pi-derivations' - seminar <a href="CE_seminar_notes.pdf"> notes</a> (not properly proofread!)</li> <li> Lecture series <a href="3ILJUASkalski.pdf"> `Quantum Lévy processes on topological quantum groups'</a> delivered at the 3 ILJU School of Mathematics in Gyeong-Ju (Korea), January 2011. </li> <li> Lecture series <a href="UD2011ASkalski.pdf"> `On quantum dynamical systems from the noncommutative mathematics' perspective'</a> delivered at the Spring School on Dynamical Systems in Bedlewo (Poland), May 2011. </li> <li> `Entropy and invariant abelian subalgebras for endomorphisms of Cuntz algebras', a (slightly extended) version of the text to appear in the Oberwolfach Workshop Reports 2012, Mini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings, (available <a href="MFOabstractEntropy.pdf"> here</a>) </li> </ul> <p align="right"><small><a href="index.html"> back to top </a></p> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="A short CV">A short CV:</a> </b></td> <td> <small><b>Born:</b> 31.01.1978<br /> <b>Degrees:</b><br /> 2000 MSc in Mathematics, University of &#321&#243d&#378<br /> 2002 MSc in Physics, University of &#321&#243d&#378<br /> 2006 PhD in Mathematics, University of Nottingham<br /> <b>Previous positions:</b><br /> 2000-2004 Assistant Pre-Doc, Department of Mathematics, University of &#321&#243d&#378<br /> 2004-2005 PhD student, University of Nottingham<br /> I-VII 2006 Research Associate, Lancaster University<br /> VIII 2006 - VII 2007 EPSRC Research Fellow, University of Nottingham<br /> X-XI 2009 Short Term JSPS Postdoctoral Fellow, Tokyo University <br /> VIII 2007 - IX 2010 EPSRC Post-Doctoral Fellow, Lancaster University <br /> <a href=CV.pdf> Full CV</a> <p align="right"><small><a href="AdamSkalski.html"> back to top </a></p> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"><b><small><a name="Doctoral thesis">Doctoral thesis</a>: </b></td> <td> <small> My thesis, <a href=" http://arxiv.org/abs/math.OA/0608756"> `Quantum stochastic convolution cocycles'</a>, was concerned with a generalisation of the theory of quantum Lévy processes on algebraic *-bialgebras to the context of compact quantum groups, or, more generally, C*-bialgebras. It was written under supervision of Martin Lindsay, submitted to the University of Nottingham in December 2005 and defended on the 28th July 2006. <p align="right"><small><a href="index.html"> back to top </a></p> </td> </tr> </td> </tr> <tr> <tr> <td valign="top" width="20%" bgcolor="#FFFF99"> <b><small><a name="Links">Links</a>: </b></td> <td> <small><b>My (current) collaborators (who happen to have websites):</b> <br /> <a href="http://www.u-cergy.fr/tbanica/"> Teodor Banica</a><br /> <a href="http://www.maths.lancs.ac.uk/~belton"> Alex Belton</a><br /> <a href="http://www.maths.leeds.ac.uk/~mdaws"> Matt Daws</a><br /> <a href="http://www-math.univ-fcomte.fr/pp_Annu/UFRANZ/"> Uwe Franz</a><br /> <a href="http://www.maths.lancs.ac.uk/department/info/people/person/lindsaym"> Martin Lindsay</a> <br /> <a href="http://www.cc.oulu.fi/~psalmi/"> Pekka Salmi</a><br /> <a href="http://www.fuw.edu.pl/~psoltan/"> Piotr So&#322;tan</a><br /> <a href="http://www.maths.gla.ac.uk/~saw/"> Stuart White</a><br /> <a href="http://www.maths.nottingham.ac.uk/personal/jz/"> Joachim Zacharias</a><br /> <br /> <b> Institutions I am/have been related to:</b> <br /> <a href="http://www.math.uni.lodz.pl"> Department of Mathematics, University of Lodz</a> <br /> <a href="http://www.maths.nottingham.ac.uk"> School of Mathematical Sciences, University of Nottingham</a> <br /> <a href="http://www.maths.lancs.ac.uk"> Department of Mathematics and Statistics, Lancaster University</a> <br /> <a href="http://www.impan.pl/EN/"> Mathematical Institute of the Polish Academy of Sciences (Warsaw)</a> <br /> <br /> <b>Daily tools and readings: </b> <br /> <a href="http://www.ams.org/mathscinet"> Mathscinet </a> <br /> <a href="http://www.arxiv.org"> Arxiv </a> <br /> <a href="http://terrytao.wordpress.com/"> Terry Tao's blog </a> <p align="right"><small><a href="index.html"> back to top </a></p> </td></tr> </table> <p align="left"><small><small><b>Last updated by: &reg Adam Skalski 2012-05-08 </b></p> </body></html>