{"id":2,"date":"2011-07-01T20:10:40","date_gmt":"2011-07-01T20:10:40","guid":{"rendered":"http:\/\/sites.williams.edu\/mstoiciu\/?page_id=2"},"modified":"2020-11-24T03:08:46","modified_gmt":"2020-11-24T03:08:46","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/mstoiciu\/","title":{"rendered":"Mihai Stoiciu"},"content":{"rendered":"<p><a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/Stoiciu.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-72\" src=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/Stoiciu-200x300.jpg\" alt=\"Stoiciu\" width=\"132\" height=\"198\" srcset=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/Stoiciu-200x300.jpg 200w, https:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/Stoiciu.jpg 667w\" sizes=\"auto, (max-width: 132px) 100vw, 132px\" \/><\/a><\/p>\n<ul>\n<li>B.S. Mathematics, University of Bucharest.<\/li>\n<li>Ph.D. Mathematics, California Institute of Technology.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Publications<\/strong><\/p>\n<ul>\n<li>An estimate for the number of bound states of the Schr\u00f6dinger operator in two dimensions, <em>Proc. Amer. Math. Soc. <\/em><strong>132<\/strong> (2004), 1143-1151<em>. <\/em>\u00a0The pdf, dvi and ps files are posted <a href=\"http:\/\/www.ams.org\/journal-getitem?pii=S0002-9939-03-07257-5\">here<\/a>.<\/li>\n<li>Zeros of Random Orthogonal Polynomials on the Unit Circle, <em>Ph.D. Thesis at Caltech, <\/em>June 2005. The pdf file is posted <a href=\"http:\/\/etd.caltech.edu\/etd\/available\/etd-05272005-110242\/\">here<\/a>.<\/li>\n<li>The statistical distribution of the zeros of random paraorthogonal polynomials on the unit circle,<em> J. Approx. Theory\u00a0 <\/em><strong>39<\/strong> (2006), 29-64<em>. <\/em>[<a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Poisson.pdf\">pdf<\/a>]<\/li>\n<li>The Eigenvalue Distribution of Random Schr\u00f6dinger Operators and CMV Matrices, <em>Mathematisches Forschunginstitut Oberwolfach Report, <\/em>9\/2006, 20-22. The pdf file is posted <a href=\"http:\/\/www.mfo.de\/programme\/schedule\/2006\/08b\/OWR_2006_09.pdf\">here<\/a>.<\/li>\n<li>Poisson Statistics for Eigenvalues: From Random Schr\u00f6dinger Operators to Random CMV Matrices,<em> CRM Proceedings and Lecture Notes<\/em>, volume 42, 2007, 465-475. The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/PoissonSC.pdf\">here<\/a>.<\/li>\n<li>(with J.B. Friedlander and F. Luca) On the Irrationality of a Divisor Function Series, <em>Integers <\/em><strong>7<\/strong> (2007), A31, 9 pp. (electronic). The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/irrationality.pdf\">here<\/a>.<\/li>\n<li>(with R. Killip) Eigenvalue Statistics for CMV Matrices: From Poisson to Clock via Random Matrix Ensembles, <em>Duke Mathematical Journal <\/em><strong>146 <\/strong>(2009), no.3, 361-399. The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Killip_Stoiciu.pdf\">here<\/a>.<\/li>\n<li>(with K. Gittins, N. Peyerimhof, and D. Wirosoetisno) Some Spectral Applications of McMullen&#8217;s Hausdorff Dimension Algorithm,\u00a0<em>Conform. Geom. Dyn.\u00a0<\/em><strong>16<\/strong> (2012), 184-203. The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2011\/07\/GPSW.pdf\">here<\/a>.<\/li>\n<li>Spectral properties of Random and Deterministic Matrices,<em>\u00a0Math. Model. Nat. Phenom.<\/em>, Vol.\u00a0 9,\u00a0No. <strong>5<\/strong> (2014), 270-281. The pdf file is posted here: <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2011\/07\/MMNP_Paper.pdf\">MMNP_Paper<\/a>.<\/li>\n<li>(with F. Gong, O. Meyerson, J. Meza, and A. Ward) Explicit Bounds for the Pseudospectra of Various Classes of Matrices and Operators, <em>\u00a0Involve<\/em>, Vol.\u00a0 9,\u00a0No. <b>3<\/b>\u00a0(2016), 517-540. \u00a0The pdf file is posted here: <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/PseudospectraGMMSW.pdf\">PseudospectraGMMSW<\/a>.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Current\u00a0Teaching<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/pcmi.ias.edu\/program-index\/2017\">PCMI 2017<\/a>: <a href=\"https:\/\/pcmi.ias.edu\/program-uss\/2017\">Introduction to Random Matrix Theory<\/a>\u00a0&#8211; <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/pcmi\/\">course materials<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Recent Teaching<\/strong><\/p>\n<ul>\n<li>Spring 2020: Math 341 &#8211; Probability<\/li>\n<li>Fall 2019: Math 102T &#8211; Foundations in Quantitative Skills, Math 404 &#8211; Random Matrix Theory<\/li>\n<li>Spring 2017: Math 402 &#8211; Measure Theory and Probability<\/li>\n<li>Fall 2016: Math 102T &#8211; Foundations in Quantitative Skills, Math 318T &#8211; Numerical Problem Solving<\/li>\n<li>Spring 2016: Math 150 &#8211; Multivariable Calculus<\/li>\n<li>Winter Study 2016: Math 100 &#8211; Mathematics Immersion<\/li>\n<li>Fall 2015:\u00a0Math 102T &#8211; Foundations in Quantitative Skills, Math 401 &#8211; Functional Analysis<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Undergraduate Research Supervised<\/strong><\/p>\n<p><strong>Williams College &#8220;SMALL&#8221; REU, June-August 2007, Mathematical Physics Group: <\/strong>James Arnemann, Scott Smedinghoff, Miles Wheeler, Sunmi Yang. Project: &#8220;Clock Theorems for Eigenvalues of Finite CMV Matrices&#8221;. The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/clock_theorems.pdf\">here<\/a>.<\/p>\n<p><strong>Williams College &#8220;SMALL&#8221; REU, June-August 2010, Mathematical Physics Group: <\/strong>Matthew Coudron, Amalia Culiuc, Philip Vu, Stephen Webster. Project: &#8220;Spectral Analysis of Non-Hermitian Matrices&#8221;. The pdf file is posted <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Non_Hermitian.pdf\">here<\/a>.<\/p>\n<p><strong>Williams College &#8220;SMALL&#8221; REU, June-August 2014, Mathematical Physics Group:<\/strong> Feixue Gong, Olivia Meyerson, Jeremy Meza, Abigail Ward. Project: &#8220;Explicit Bounds for the Pseudospectra of Various Classes of Matrices and Operators&#8221;. The pdf file is posted here: <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2011\/07\/SMALL_2014_Paper.pdf\">SMALL_2014_Paper<\/a><\/p>\n<p><strong>Williams College &#8220;SMALL&#8221; REU, June-August 2018, Mathematical Physics Group: <\/strong>Michael Curran, Eli Cytrynbaum, Benjamin Foster, Miriam Gordin. Project: &#8220;Questions in Random Matrix Theory&#8221;. The pdf file is posted here: <a href=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2020\/11\/Random_Matrix_Theory.pdf\">Random_Matrix_Theory<\/a><\/p>\n<p><strong>Honors (thesis) students:<\/strong><\/p>\n<ul>\n<li>Brian Simanek &#8217;07 \u2013 &#8220;Spectral Properties of Random Unitary Band Matrices&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Brian_Simanek_Thesis_2007.pdf\">pdf file<\/a><\/li>\n<li>Sunmi Yang &#8217;08 \u2013 &#8220;A Numerical Analysis of the Spectrum of the Almost Mathieu Operator&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Sunmi_Yang_Thesis_2008.pdf\">pdf file<\/a><\/li>\n<li>Irina Zhecheva &#8217;08 \u2013 &#8220;Ergodic Properties of Random Schr\u00f6dinger Operators&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Irina_Zhecheva_Thesis_2008.pdf\">pdf file<\/a><\/li>\n<li>Zhaoning Nancy Wang &#8217;11 \u2013 &#8220;Sturm-Liouville Oscillation Theory for Differential Equations and Applications to Functional Analysis&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2012\/08\/Nancy_Thesis_2011.pdf\">pdf file<\/a><\/li>\n<li>Gregory White &#8217;12 \u2013 &#8220;Stochastic Calculus and Applications to Mathematical Finance&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2011\/07\/Greg_White_Thesis.pdf\">pdf file<\/a><\/li>\n<li>Liyang Zhang &#8217;12 \u2013 &#8220;Spectral Theory for Matrix Orthogonal Polynomials on the Unit Circle&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2011\/07\/Liyang_Zhang_Thesis.pdf\">pdf file<\/a><\/li>\n<li>Nicholas Gardner &#8217;15 &#8211; &#8220;History Dependent Stochastic Processes and Applications to Finance&#8221;. <a href=\"http:\/\/sites.williams.edu\/mstoiciu\/files\/2015\/07\/Neeko_Gardner_Thesis.pdf\">Neeko_Gardner_Thesis<\/a><\/li>\n<li>Andy Yao &#8217;17 &#8211; &#8220;Spectral Analysis of New Classes of Deterministic and Random Orthogonal Polynomials on the Unit Circle&#8221;.\u00a0<a href=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2017\/06\/Andy_Yao_Thesis.pdf\">Andy_Yao_Thesis<\/a><\/li>\n<li>Alexander Bank &#8217;20 &#8211; &#8220;Asymptotic Expansions for Bounds of Epsilon-Pseudospectra of Nonnormal Matrices&#8221;. <a href=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2020\/11\/Alex_Bank_Thesis.pdf\">Alex_Bank_Thesis<\/a><\/li>\n<li>Eli Cytrynbaum &#8217;20 &#8211; &#8220;Point Process Convergence and the Circular Beta Ensemble&#8221;. <a href=\"https:\/\/sites.williams.edu\/mstoiciu\/files\/2020\/11\/Eli_Cytrynbaum_Thesis.pdf\">Eli_Cytrynbaum_Thesis<\/a><\/li>\n<\/ul>\n<hr \/>\n<p>Contact Information<br \/>\nE-mail: <a href=\"mailto:mstoiciu@williams.edu\">mstoiciu@williams.edu<\/a><br \/>\nOffice: 206 Bascom House<br \/>\nPhone: (413) 597-2428<br \/>\nFax: (413) 597-4061<br \/>\nMailing address: Williams College, Department of Mathematics and Statistics, Williamstown, MA 01267, USA<\/p>\n<hr \/>\n<p><a href=\"http:\/\/math.williams.edu\/\">Math Department Home Page<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B.S. Mathematics, University of Bucharest. Ph.D. Mathematics, California Institute of Technology. &nbsp; Publications An estimate for the number of bound states of the Schr\u00f6dinger operator in two dimensions, Proc. Amer. Math. Soc. 132 (2004), 1143-1151. \u00a0The pdf, dvi and ps files are posted here. Zeros of Random Orthogonal Polynomials on the Unit Circle, Ph.D. Thesis [&hellip;]<\/p>\n","protected":false},"author":285,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/users\/285"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":59,"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":188,"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/pages\/2\/revisions\/188"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/mstoiciu\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}