{"id":5,"date":"2012-10-25T22:04:15","date_gmt":"2012-10-25T22:04:15","guid":{"rendered":"http:\/\/pages.charlotte.edu\/template-faculty01\/?page_id=5"},"modified":"2014-09-22T23:17:26","modified_gmt":"2014-09-22T23:17:26","slug":"home","status":"publish","type":"page","link":"https:\/\/pages.charlotte.edu\/alexander-gordon\/","title":{"rendered":"Curriculum Vitae"},"content":{"rendered":"<p><b>ALEXANDER Y. GORDON<\/b><\/p>\n<p><b><i>Contact information:<\/i><\/b><\/p>\n<p>Department of Mathematics and Statistics, University of North Carolina at Charlotte,<\/p>\n<p>9201 University City Blvd, Charlotte, NC 28223, U.S.A.<\/p>\n<p>Phone: 704-687-4576; Fax: 704-687-6415<\/p>\n<p>E-mail: aygordon@uncc.edu<\/p>\n<p>&nbsp;<\/p>\n<p><b>EDUCATION AND DEGREES<\/b><\/p>\n<p>1988 &#8211; Ph.D. in Mathematics: Moscow Institute of Electronic Machine Building<br \/>\n(since 1993\u00a0&#8211; Moscow State Institute of Electronics and Mathematics).<\/p>\n<p>Thesis: &#8220;Spectral Properties of Operators Approximable by Periodic Ones and Decay of Gaps for a Bounded Potential&#8221; (Prof. S. A. Molchanov supervised the thesis).<br \/>\n1970 &#8211; M.S. with High Honors in Mathematics: Moscow State University.<\/p>\n<p>Thesis: &#8220;On Linear Conjugation of Homeomorphisms of Compact Spaces&#8221;.<\/p>\n<p>Advisors: Prof. E. A. Gorin, Prof. V. Ya. Lin.<\/p>\n<p>&nbsp;<\/p>\n<p><b>POSITIONS HELD OVER THE LAST 15 YEARS<\/b><\/p>\n<ul>\n<li>University of North Carolina at Charlotte, Department of Mathematics and Statistics (Charlotte,\u00a0NC)<br \/>\nAssociate Professor (August, 2012 &#8211; present)<\/li>\n<li>University of North Carolina at Charlotte, Department of Mathematics and Statistics (Charlotte,\u00a0NC)<br \/>\nAssistant Professor (August, 2006 &#8211; July 2012)<\/li>\n<li>University of Rochester, Department of Biostatistics and Computational Biology (Rochester,\u00a0NY)<br \/>\nAssistant Professor (July, 2004 &#8211; August, 2006)<\/li>\n<li>University of Rochester, Department of Biostatistics and Computational Biology (Rochester,\u00a0NY)<br \/>\nAnalyst\/Programmer lead (December, 2002 &#8211; June, 2004)<\/li>\n<li>PDH International, Inc. (Hallandale, FL)<br \/>\nSenior Software Engineer\/Research Mathematician (January, 1999 &#8211; November, 2002)<\/li>\n<li>UNC-Charlotte, Department of Mathematics (Charlotte, NC)<br \/>\nVisiting Assistant Professor\/Lecturer\/Visiting Research Assistant Professor<br \/>\n(January, 1995 &#8211; December, 1998)<\/li>\n<\/ul>\n<p><b>REFEREED ARTICLES<\/b><\/p>\n<ol>\n<li><strong>Gordon, A.Y.\u00a0<\/strong> (2014)\u00a0\u00a0 Absence of $l^1$ eigenfunctions for lattice<br \/>\noperators with fast local periodic approximation. &#8211; To be published in<br \/>\n<em>Journal of Spectral Theory.<\/em><\/li>\n<li><strong>Gordon, A.Y.\u00a0<\/strong> (2014) \u00a0 New operator inequalities in finite-dimensional<br \/>\nvector spaces. &#8211;\u00a0 To be published in <em>Proceedings of the American Mathematical Society.<\/em><\/li>\n<li><strong>Gordon, A.Y.<\/strong>\u00a0 (2014)\u00a0\u00a0 <a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/imperfect_growth_098.pdf\">Imperfectly grown periodic medium:<\/a><br \/>\n<a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/imperfect_growth_098.pdf\"> absence of localized states.<\/a> &#8211; To be published in <em>Journal of Spectral Theory.<\/em><\/li>\n<li><strong>Gordon, A.Y.<\/strong>, Ray, E. (2014) \u00a0 <a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/extend_062C.pdf\">Extendability of eigenvalues for continuous families of self-adjoint operators.<\/a> &#8211; To be published in <em>Applicable Analysis.<\/em><br \/>\nPublished online: 08 May 2013;\u00a0 DOI:10.1080\/00036811.2013.770476<\/li>\n<li><strong>Gordon, A.Y.<\/strong>\u00a0 Smoothing of stepwise multiple testing procedures. &#8211;<br \/>\n<em>Statistics and Probability Letters<\/em> <strong>87<\/strong> (2014) pp. 149-157.<br \/>\nDOI: 10.1016\/j.spl.2013.12.018<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0\u00a0 <a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/spalt.pdf\">A spectral alternative for continuous families of self-adjoint opera-<\/a><br \/>\n<a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/spalt.pdf\"> tors.<\/a> \u2013 <em>Journal of Spectral Theory<\/em> <strong>3<\/strong> (2013) pp. 129-145.\u00a0\u00a0\u00a0 DOI: 10.4171\/JST\/40<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0\u00a0 A sharp upper bound for the expected number of false rejections<strong>.<\/strong><i><strong> &#8211;<\/strong> <\/i><em>Statistics and Probability Letters<\/em><b> 82 <\/b>(2012) pp. 1507-1514.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0\u00a0 A new optimality property of the Holm step-down procedure.\u00a0&#8211;\u00a0<i>Statistical Methodology<\/i>\u00a0<b>8<\/b>\u00a0(2011) pp. 129-135.<\/li>\n<li><a href=\"http:\/\/pages.charlotte.edu\/alexander-gordon\/wp-content\/uploads\/sites\/371\/2012\/10\/Random_matrices_over_Zp.pdf\"><b>Gordon, A.Y.<\/b><\/a>\u00a0and Quinn, J.E. Iterated conditional expectations.\u00a0&#8211;\u00a0<i>Journal of Mathematical Analysis and Applications<\/i>\u00a0<b>367<\/b>\u00a0(2010) pp. 699-704. doi:10.1016\/j.jmaa.2010.02.001.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Inequalities between generalized familywise error rates of a multiple testing procedure.\u00a0&#8211;\u00a0<i>Statistics and Probability Letters<\/i>\u00a0<b>79<\/b>\u00a0(2009), pp. 1996-2004.\u00a0doi: 10.1016\/j.spl.2009.06.009<\/li>\n<li><b>Gordon, A.<\/b>, Chen, L., Glazko, L. and Yakovlev, A. Balancing type one and two errors in multiple testing for differential expression of genes.\u00a0&#8211;\u00a0<i>Computational statistics and data analysis<\/i>\u00a0<b>53<\/b>(2009), pp. 1622-1629.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0On a problem of Borsuk and Ulam.\u00a0&#8211;\u00a0<i>Proceedings of the American Mathematical Society<\/i>\u00a0<b>137<\/b>\u00a0(2009), pp. 2135-2137.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0and Salzman, P. Optimality of the Holm procedure among general step-down multiple testing procedures.\u00a0&#8211;\u00a0<i>Statistics and Probability Letters<\/i>\u00a0<b>78<\/b>\u00a0(2008), pp. 1878-1884.<\/li>\n<li><b>Gordon, A.<\/b>, Glazko, G., Qiu, X. and Yakovlev, A. Control of the mean number of false discoveries, Bonferroni, and stability of multiple testing.\u00a0&#8211;\u00a0<i>The Annals of Applied Statistics<\/i>\u00a0<b>1<\/b>\u00a0(2007), pp.\u00a0179-190. DOI: 10.1214\/07-AOAS102.<\/li>\n<li>Xiao, Y.,\u00a0<b>Gordon, A.<\/b>\u00a0and Yakovlev, A. A C++ program for the Cram\u00e9r-von Mises two-sample test.\u00a0&#8211;\u00a0<i>Journal of Statistical Software<\/i>\u00a0<b>17<\/b>, issue 8 (2007), 15\u00a0p.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Explicit formulas for generalized family-wise error rates and unimprovable step-down multiple testing procedures.\u00a0&#8211;\u00a0<i>Journal of Statistical Planning and Inference<\/i>\u00a0<b>137<\/b>\u00a0(2007), pp.\u00a03497?-3512 (S.N.Roy Centennial Volume); available online at http:\/\/dx.doi.org\/10.1016\/j.jspi.2007.03.027<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Family-wise error rate of a step-down procedure.\u00a0&#8211;\u00a0<i>Random Operators and Stochastic Equations<\/i>\u00a0<b>15<\/b>\u00a0(2007), pp.\u00a0397-406.<\/li>\n<li><strong>Gordon,<\/strong><b> A.Y.<\/b>\u00a0Unimprovability of the Bonferroni procedure in the class of general step-up multiple testing procedures.\u00a0&#8211;\u00a0<i>Statistics and Probability Letters<\/i>\u00a0<b>77<\/b>\u00a0(2007), pp.\u00a0117-122; available online at www.sciencedirect.com.<\/li>\n<li><b>Gordon, A.<\/b>, Holt, J., Laptev, A. and Molchanov, S. On the Simon-Spencer theorem.\u00a0&#8211;\u00a0<i>Journal of Mathematical Physics, Analysis, Geometry<\/i>\u00a0<b>4<\/b>\u00a0(2007) pp. 1-14.<\/li>\n<li>Klebanov, L.,\u00a0<b>Gordon, A.<\/b>, Xiao, Y., Land, H., and Yakovlev, A. A permutation test motivated by microarray data analysis. &#8211;\u00a0<i>Computational Statistics and Data Analysis<\/i>\u00a0<b>50<\/b>\u00a0(2006), pp. 3619-3628.<\/li>\n<li>Qiu, X., Xiao, Y.,\u00a0<b>Gordon, A.<\/b>, and Yakovlev, A. Assessing stability of gene selection in microarray data analysis. &#8211;\u00a0<i>BMC Bioinformatics<\/i>\u00a02006 7:50.<\/li>\n<li>Xiao, Y.,\u00a0<b>Gordon, A.<\/b>\u00a0and Yakovlev, A. The\u00a0-version of the Cram\u00e9r-von Mises test for two-sample comparisons in microarray data analysis.\u00a0&#8211;\u00a0<i>EURASIP Journal on Bioinformatics and Systems Biology<\/i>\u00a0Volume 2006, Article ID 85769, pp. 1-9.\u00a0doi:10.1155\/BSB\/2006\/85769.<\/li>\n<li>Glazko, G.,\u00a0<b>Gordon, A.<\/b>, and Mushegian, A. The choice of optimal distance measure in genome-wide data sets. &#8211;\u00a0<i>Bioinformatics<\/i>\u00a02005 21: iii3-iii11.<\/li>\n<li>Dow, A., Ganguli, S.,\u00a0<b>Gordon, A.Y.<\/b>, and Molchanov, S. A problem by E. Landis and generic behavior of non-generic sets. &#8211;\u00a0<i>Applicable Analysis<\/i>\u00a0<b>84<\/b>\u00a0(2005), pp. 927-952.<\/li>\n<li>Xiao, Y., Frisina, R.,\u00a0<b>Gordon, A.Y.<\/b>, Klebanov, L., and Yakovlev, A. Multivariate search for differentially expressed gene combinations. &#8211;\u00a0<i>BMC Bioinformatics<\/i>\u00a02004, 5:134.<\/li>\n<li>Derfel, G.,\u00a0<b>Gordon, A.Y.<\/b>, and Molchanov, S.A. Random matrices over\u00a0\u00a0and testing random number generators. &#8211;\u00a0<i>Random Operators and Stochastic Equations<\/i>\u00a0<b>12<\/b>\u00a0(2004), pp. 1-10.<\/li>\n<li>Figotin, A.,\u00a0<b>Gordon, A.Y.<\/b>, Molchanov, S.A., Quinn, J.E., and Stavrakas, N. Occupancy numbers in testing random number generators. &#8211;\u00a0<i>SIAM Journal of Applied Mathematics<\/i>\u00a0<b>62<\/b>\u00a0(2002), no. 6, pp. 1980-2011.<\/li>\n<li>Figotin, A.,\u00a0<b>Gordon, A.Y.<\/b>, Molchanov, S.A., Quinn, J.E., and Stavrakas, N. Generalized quantum statistics and testing of randomizers with and without asymptotic assumptions. &#8211;\u00a0<i>Monte Carlo Methods and Applications<\/i>\u00a0<b>7<\/b>\u00a0(2001), pp. 167-176.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0and Kechris, A.S. Measurable enumeration of eigenelements, &#8211;\u00a0<i>Applicable Analysis<\/i>,\u00a0<b>71<\/b>\u00a0(1999), pp. 41-62.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Purely continuous spectrum for generic almost-periodic potential.\u00a0&#8211;\u00a0<i>Contemporary Mathematics<\/i>,\u00a0<b>217<\/b>\u00a0(1998), pp. 183-189.<\/li>\n<li><b>Gordon, A.Y.<\/b>, Jitomirskaya, S., Last, Y., and Simon, B. Duality and singular continuous spectrum in the almost Mathieu equation,\u00a0<i>Acta Mathematica<\/i>\u00a0<b>178<\/b>\u00a0(1997), pp. 169-183.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Instability of dense point spectrum under finite rank perturbations,\u00a0<i>Communications in Mathematical Physics<\/i>\u00a0<b>187<\/b>\u00a0(1997), pp. 583-595.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0A fast algorithm for the solution of the inviscid Burgers equation,\u00a0<i>Vychislitel&#8217;naja Seismologija (Computational Seismology)<\/i>\u00a0<b>29<\/b>, Moscow, 1997, pp. 179-189 (in Russian).<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Eigenvalues of the one-dimensional Schr\u00e9dinger operator that are located on its essential spectrum, Algebra i Analiz (<i>Algebra and Analysis<\/i>)\u00a0<b>8<\/b>, no. 1 (1996), pp. 113-121 (in Russian).<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Strong unboundedness of unbounded analytic functions,\u00a0<i>Proceedings of the American Mathematical Society<\/i>\u00a0<b>122<\/b>\u00a0(1994), pp. 525-529.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Pure point spectrum under one-parameter perturbations and instability of Anderson localization,\u00a0<i>Communications in Mathematical Physics<\/i>\u00a0<b>164<\/b>\u00a0(1994), pp. 489-505.<\/li>\n<li><b>Gordon, A.Y.<\/b>, Jaksic, V., Molchanov, S.A., and Simon, B. Spectral properties of random Schr\u00e9dinger operators with unbounded potentials,\u00a0<i>Communications in Mathematical Physics<\/i>\u00a0<b>157<\/b>(1993), pp. 23-50.<\/li>\n<li>Maslov, V.P., Molchanov, S.A., and\u00a0<b>Gordon, A.Y.<\/b>\u00a0Behaviour of generalized eigenfunctions at infinity and the Schr\u00e9dinger conjecture.\u00a0<i>Russian Journal of Mathematical Physics<\/i>\u00a0<b>1<\/b>, no. 1 (1993), pp. 71-104.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0On exceptional values of boundary phase for Schr\u00e9dinger equation on the half-axis,\u00a0<i>Russian Mathematical Surveys<\/i>\u00a0<b>47<\/b>, no. 1 (1992), pp. 260-261.<\/li>\n<li><b>Gordon, A.Y.<\/b>, Molchanov, S. A., and Tzagani, B. Spectral theory of one-dimensional Schr\u00e9dinger operators with strongly fluctuating potentials,\u00a0<i>Functional Analysis and its Applications<\/i>\u00a0<b>25<\/b>, no. 3 (1991), pp. 236-238.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0A deterministic potential with pure point spectrum,\u00a0<i>Mathematical Notes<\/i>\u00a0<b>48<\/b>, no. 5 &#8211; 6 (1990), pp.\u00a01197-1203.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0A sufficient condition for the continuity of the spectrum of a discrete Schr\u00e9dinger operator,\u00a0<i>Functional Analysis and its Applications<\/i>\u00a0<b>20<\/b>, no. 4 (1986), pp. 313-315.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0An example of an analytic flow on a torus with a mixed spectrum,\u00a0<i>Theory of Functions, Functional Analysis and their Applications<\/i>, No. 33, Kharkov Univ. Press, Kharkov, 1980, pp. 40-45 (in Russian). English translation:\u00a0<i>Selecta Mathematica Sovetica<\/i>\u00a0<b>8<\/b>, no.\u00a04, pp. 292-298, Birkh\u00e9user Verlag, Basel, 1989.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Continuous spectrum of a one-dimensional Schr\u00e9dinger operator,\u00a0<i>Functional Analysis and its Applications<\/i>\u00a0<b>13<\/b>, no. 3 (1979), pp. 218-219.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0On the point spectrum of one-dimensional Schr\u00e9dinger operator, Uspehi Matematicheskih Nauk (<i>Russian Mathematical Surveys<\/i>)\u00a0<b>31<\/b>, no. 4 (1976), pp. 257-258 (in Russian).<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0Sufficient condition for unsolvability of the additive functional homological equation connected with the ergodic rotation of a circle,\u00a0<i>Functional Analysis and its Applications<\/i>\u00a0<b>9<\/b>, no. 4 (1975), pp. 334-336.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0and Levin, B.Y. On the division of quasi-polynomials,\u00a0<i>Functional Analysis and its Applications<\/i>\u00a0<b>5<\/b>, no.\u00a01 (1971).<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0The linear conjugation of homeomorphisms of compact spaces, Uspehi Matematicheskih Nauk (<i>Russian Mathematical Surveys<\/i>)\u00a0<b>25<\/b>, no. 6 (1970) pp. 257-258 (in Russian).<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>REFEREED BOOK CHAPTERS<\/b><\/p>\n<ol>\n<li><b>Gordon, A.Y.<\/b>\u00a0Multiple testing procedures: monotonicity and some of its implications.\u00a0&#8211; Accepted for publication in the\u00a0<i>Collections<\/i>\u00a0series of the Institute of Mathematical Statistics.<\/li>\n<li><b>Gordon, A.<\/b>\u00a0and Sonin, I. The expected number of intersections of a four valued bounded martingale with any level may be infinite.\u00a0&#8211; In:\u00a0<i>Optimality and Risk &#8211; Modern Trends in Mathematical Finance<\/i>\u00a0(Editors: F.\u00a0Delbaen\u00a0et\u00a0al), Springer-Verlag, Berlin (2009), pp. 87-98. DOI: 10.1007\/978-3-642-02608-9_1.<\/li>\n<li><b>Gordon, A.<\/b>, Holt, J. and Molchanov, S. Spectral theory of 1-D Schr\u00e9dinger operators with unbounded potentials.\u00a0&#8211; In:\u00a0<i>CRM Proceedings and Lecture Notes<\/i>\u00a0<b>42<\/b>\u00a0(2007), pp. 181-198.<\/li>\n<li><b>Gordon, A.<\/b>, Molchanov, S. and Quinn, J. Fermi &#8211; Dirac generators and tests for randomness.\u00a0&#8211; In:\u00a0<i>CRM Proceedings and Lecture Notes<\/i>\u00a0<b>42<\/b>\u00a0(2007), pp. 199-224.<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0On the inverse problem of the best approximation by the entire functions of exponential type.\u00a0&#8211; In: &#8220;Studies in the theory of functions of several real variables&#8221;. &#8211; Yaroslavl University Press, Yaroslavl, 1990 (in Russian). &#8211; English version in:\u00a0<i>Lecture Notes in Mathematics<\/i>\u00a0<b>1043<\/b>\u00a0(Linear and Complex Analysis Problem Book), Springer-Verlag, 1984, pp. 592-594.<\/li>\n<li><b>Gordon, A.Y.<\/b>, Gorin, E.A., Lin, V.Ya., and Tonev, T.V. On topological conjugation of semi-linear homeomorphisms.\u00a0&#8211; In: &#8220;Studies in the theory of functions of several real variables&#8221;, Yaroslavl University Press, Yaroslavl, 1980, pp. 63-83 (in Russian; review 84j:54028 in\u00a0<i>Mathematical Reviews<\/i>).<\/li>\n<li><b>Gordon, A.Y.<\/b>\u00a0An algorithm for the solution of the minimax scheduling problem.\u00a0&#8211; In:\u00a0<i>&#8220;Studies in Discrete Optimization&#8221;<\/i>, Moscow, &#8220;Nauka&#8221;, 1976, pp. 327-333 (in Russian).<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>PATENT<\/b><\/p>\n<p>US Patent No. US 6,745,217 B2 (awarded June 1, 2004)<\/p>\n<p>&#8220;Random number generator based on the spontaneous alpha-decay&#8221;<\/p>\n<p>(A. Figotin, I. Vitebskiy, V. Popovich, G. Stetsenko, S. Molchanov,\u00a0<b>A. Gordon<\/b>, J. Quinn, N.\u00a0Stavrakas)<\/p>\n<p>&nbsp;<\/p>\n<p><b>RECENT CONFERENCE TALKS<\/b><\/p>\n<ol>\n<li>35th Conference of SIAM-SEAS (Society for Industrial and Applied Mathematics, Southeastern Atlantic Section), Charlotte, NC, March 26-27, 2011. &#8220;A class of random operators with continuous spectra&#8221; (contributed talk).<\/li>\n<li>Central Section Meeting of AMS (American Mathematical Society), Iowa City, IA, March 18-20, 2011. &#8220;On the Simon-Spencer Theorem&#8221; (contributed talk). This was a joint research with J.Holt, A.Laptev and S.Molchanov.<\/li>\n<li>Annual meeting of WNAR (Western North American Region of the International Biometric Society), Seattle, WA, June 20-23, 2010. &#8220;Expected number of false discoveries for stepwise procedures&#8221; (contributed talk).<\/li>\n<li>Joint Statistical Meeting, Washington, DC, August 2-6, 2009. &#8220;A new optimality property of the Holm procedure&#8221; (contributed talk in Biometrics section).<\/li>\n<li>Statistical Modeling for Biological Systems, Rochester, NY, June 8-9, 2009. &#8220;Monotone multiple testing procedures&#8221; (invited talk).<\/li>\n<li>Joint Statistical Meeting, Denver, TX, August 2-7, 2008. &#8220;Monotone multiple testing procedures and implications of monotonicity&#8221; (contributed talk in Biometrics section).<\/li>\n<li>Joint Statistical Meeting, Salt Lake City, UT, July 29 &#8211; August 2, 2007. &#8220;Exonerating Bonferroni&#8217;s multiple testing procedure&#8221; (contributed talk in Biometrics section). This was a joint research with G. Glazko, X. Qiu and A. Yakovlev.<\/li>\n<li>Annual meeting of WNAR (Western North American Region of the International Biometric Society), Irvine, CA, June 24-27, 2007. &#8220;Multiple testing procedures and their generalized family-wise error rates&#8221; (contributed talk).<\/li>\n<li>Joint Statistical Meeting, Minneapolis, MN, August 6-11, 2005. &#8220;Generalized family-wise error rates for threshold step-down multiple testing procedures&#8221; (contributed talk in Biometrics section).<\/li>\n<li>Conference &#8220;Probability and Mathematical Physics&#8221;, CRM, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, June 27 &#8211; July 1, 2005. &#8220;Cantor spectrum for a generic almost periodic operator with given frequencies&#8221; (invited talk).<\/li>\n<li>Annual meeting of ENAR (Eastern North American Region of the International Biometric Society), Austin, TX, March 20-23, 2005. &#8220;-value-only-based stepwise procedures for multiple testing and their optimality properties&#8221; (contributed talk).<\/li>\n<\/ol>\n<p><b>\u00a0<\/b><\/p>\n<p><b>RECENT COLLOQUIUM TALKS<\/b><\/p>\n<ol>\n<li>Seminar in Mathematical Physics, University of California at Irvine, June 28, 2007. &#8220;Iterated conditional expectations&#8221;.<\/li>\n<li>Seminar in Mathematical Physics, Rice University, Houston, TX, February 23, 2007. &#8220;A spectral alternative for continuous families of self-adjoint operators&#8221;.<\/li>\n<li>Seminar in Mathematical Physics, University of California at Irvine, June 19, 2006. &#8220;Genericity of Cantor spectrum for almost periodic operators&#8221;.<\/li>\n<\/ol>\n<p><b>\u00a0<\/b><\/p>\n<p><b>MEMBERSHIP IN A HONORARY SCIENTIFIC ASSOCIATION<\/b><\/p>\n<p>&#8211; International Association of Mathematical Physics<br \/>\n<b>MEMBERSHIP IN OTHER PROFESSIONAL ASSOCIATIONS<\/b><\/p>\n<p>&#8211; Institute of Mathematical Statistics<\/p>\n<p>&#8211; American Mathematical Society<\/p>\n<p>&#8211; Mathematical Association of America<\/p>\n<p>&nbsp;<\/p>\n<p><b>EDITORIAL BOARD MEMBERSHIP<\/b><\/p>\n<p>&#8211; &#8220;Biology Direct&#8221;<\/p>\n<p>&nbsp;<\/p>\n<p><b>TEACHING<\/b><\/p>\n<ul>\n<li>Spring 2011<\/li>\n<\/ul>\n<p>MATH2241-003 (Calculus III)<\/p>\n<p>MATH2241-090 (Calculus III)<\/p>\n<ul>\n<li>Fall 2010<\/li>\n<\/ul>\n<p>MATH2241-005 (Calculus III)<\/p>\n<p>MATH2241-006 (Calculus III)<\/p>\n<ul>\n<li>Spring 2010<\/li>\n<\/ul>\n<p>MATH2241-004 (Calculus III)<\/p>\n<p>MATH2241-090 (Calculus III)<\/p>\n<ul>\n<li>Fall 2009<\/li>\n<\/ul>\n<p>MATH2241-005 (Calculus III)<\/p>\n<p>MATH3122\/STAT3122-090 (Probability and Statistics I)<\/p>\n<ul>\n<li>Spring 2009<\/li>\n<\/ul>\n<p>MATH2241-004 (Calculus III)<\/p>\n<p>MATH7141\/MATH8141-090 (Complex Analysis\u00a0&#8211; graduate course)<\/p>\n<ul>\n<li>Fall 2008<\/li>\n<\/ul>\n<p>MATH2241-005 (Calculus III)<\/p>\n<p>MATH3122\/STAT3122-090 (Probability and Statistics I)<\/p>\n<ul>\n<li>Spring 2008<\/li>\n<\/ul>\n<p>MATH2241-004 (Calculus III)<\/p>\n<p>MATH2242-090 (Calculus IV)<\/p>\n<ul>\n<li>Fall 2007<\/li>\n<\/ul>\n<p>MATH2241-004 (Calculus III)<\/p>\n<p>MATH2241-090 (Calculus III)<\/p>\n<ul>\n<li>Spring 2007<\/li>\n<\/ul>\n<p>MATH2242-001 (Calculus IV)<\/p>\n<p>MATH2242-090 (Calculus IV)<\/p>\n<ul>\n<li>Fall 2006<\/li>\n<\/ul>\n<p>STAT5126-001 (Theory of statistics I\u00a0&#8211; graduate course)<\/p>\n<p>&nbsp;<\/p>\n<p><b>WORK IN PROGRESS<\/b><\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>, Molchanov, S., Sonin, I. The shift and index inequalities and their properties.\u00a0&#8211;\u00a0<i>Under review.<\/i><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0A sharp upper bound for the expected number of false discoveries in microarray data analysis.\u00a0&#8211;\u00a0<i>In preparation.<\/i><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>, Holt, J., Laptev, A., Molchanov, S. Generalized Simon\u00a0&#8211; Spencer theorem.\u00a0&#8211;\u00a0<i>In preparation.<\/i><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>, Molchanov, S. The limit behavior on the real line of Hilbert transforms of discrete approximations to a measure.\u00a0&#8211;\u00a0<i>In preparation.<\/i><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>Listed below are some of those projects on which I worked over the last few years and which are most likely to become papers in the near future.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0Multiple testing procedures: some general notions and their applications.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0Smoothing of stepwise multiple testing procedures.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0Familywise error rate of a step-up-down procedure.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0Unsolvable homological equations on the circle.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Gordon, A.Y.<\/b>\u00a0The Borsuk\u00a0&#8211; Ulam problem on a general compact manifold.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>ALEXANDER Y. GORDON Contact information: Department of Mathematics and Statistics, University of North Carolina at Charlotte, 9201 University City Blvd, Charlotte, NC 28223, U.S.A. Phone: 704-687-4576; Fax: 704-687-6415 E-mail: aygordon@uncc.edu &nbsp; EDUCATION AND DEGREES 1988 &#8211; Ph.D. in Mathematics: Moscow Institute of Electronic Machine Building (since 1993\u00a0&#8211; Moscow State Institute of Electronics and Mathematics). Thesis: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-5","page","type-page","status-publish","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/P55bbU-5","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/pages\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":22,"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":66,"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/pages\/5\/revisions\/66"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/alexander-gordon\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}