{"id":1186,"date":"2022-07-25T17:50:42","date_gmt":"2022-07-25T21:50:42","guid":{"rendered":"https:\/\/blogarchive.utc.edu\/campus-weekly\/?p=1186"},"modified":"2022-07-25T17:52:29","modified_gmt":"2022-07-25T21:52:29","slug":"special-colloquium-lecture-series-part-5","status":"publish","type":"post","link":"https:\/\/blogarchive.utc.edu\/campus-weekly\/2022\/07\/special-colloquium-lecture-series-part-5\/","title":{"rendered":"Special Colloquium Lecture Series, Part 5"},"content":{"rendered":"\n

Dear Colleagues,<\/p>\n\n\n\n

Part V of the Special Colloquium Lecture Series, sponsored by the Department of Mathematics and UTC\u2019s NSF-funded Math REU Site<\/a>, will be held in person this Friday, July 29th. The REU students will be presenting their research findings. The details of their presentations are provided below.<\/p>\n\n\n\n

Sincerely,<\/p>\n\n\n\n

Roger Nichols<\/p>\n\n\n\n

Speakers:<\/strong> Matthew Hayden (Indiana University Bloomington), Bryce Morrow (Montana State University), and Wesley Yang (University of Virginia)<\/p>\n\n\n\n

Date:<\/strong> Friday, July 29, 2022<\/p>\n\n\n\n

Time:<\/strong> 10:00 a.m.-10:30 a.m. (EDT)<\/p>\n\n\n\n

Location:<\/strong> Lupton Hall, Room 302<\/p>\n\n\n\n

Title:<\/strong> A compartmental model for COVID-19 including aerosolized transmission pathways<\/p>\n\n\n\n

Abstract:<\/strong> Although there is much literature on the mathematical modeling of COVID-19, there is little that considers the role the environment plays in transmitting the disease. We suggest a compartmental infectious disease model for COVID-19 that includes both human-to-human and environment-to-human transmission pathways. In this paper, we apply our SIRC model to a college campus, based on publicly reported data from the University of Michigan at Ann Arbor. We argue that aerosolized virus particles play a significant role in the spread of COVID-19, as evidenced by our data fitting.<\/p>\n\n\n\n

Speakers:<\/strong> Carson Connard (Kansas State University), Benjamin Ingimarson (Carnegie Mellon University), and Andrew Paul (University of California, San Diego)<\/p>\n\n\n\n

Date:<\/strong> Friday, July 29, 2022<\/p>\n\n\n\n

Time:<\/strong> 10:35 a.m.-11:05 a.m. (EDT)<\/p>\n\n\n\n

Location:<\/strong> Lupton Hall, Room 302<\/p>\n\n\n\n

Title:<\/strong> Schr\u00f6dinger operators: finite interval restrictions, convergence properties, and spectral shift functions<\/p>\n\n\n\n

Abstract:<\/strong> We study convergence of the spectral shift function for the finite interval restrictions of a pair of full-line Schr\u00f6dinger operators to an interval of the form $(-\\ell,\\ell)$ with coupled boundary conditions at the endpoints as $\\ell\\to \\infty$ in the case when the finite interval restrictions are relatively prime to those with Dirichlet boundary conditions.  Using a Krein-type resolvent identity we show that the spectral shift function for the finite interval restrictions converges weakly to the spectral shift function for the pair of full-line Schr\u00f6dinger operators as the length of the interval tends to infinity.<\/p>\n\n\n\n

Speakers:<\/strong> Savanah Crone (University of Tennessee at Martin), Brett Frederickson (University of Kansas), Spencer Guess (University of North Carolina Asheville), and Connor Novak (University of Michigan)<\/p>\n\n\n\n

Date:<\/strong> Friday, July 29, 2022<\/p>\n\n\n\n

Time:<\/strong> 11:10 a.m.-11:40 a.m. (EDT)<\/p>\n\n\n\n

Location:<\/strong> Lupton Hall, Room 302<\/p>\n\n\n\n

Title:<\/strong> The error in the prime number theorem<\/p>\n\n\n\n

Abstract:<\/strong> Let $\\psi (x)$ denote Chebyshev’s function. The error in the prime number theorem, denoted by $R (x) = \\psi (x) – x$, occupies a central place in the theory of prime numbers. The prime number theorem is equivalent to $R (x) = o (x)$ as $x \\to \\infty$. The best unconditional estimate for $R (x)$ was obtained independently by N. Korobov and I. Vinogradov. Assuming the Riemann hypothesis, the best known estimate is due to H. von Koch who proved that $R (x) = O (x^{1 \/ 2} (\\log x)^{2})$. On the other hand, E. Schmidt proved unconditionally that $R (x) = \\Omega_{\\pm} (x^{1 \/ 2})$. W. B. Jurkat subsequently proved general $\\Omega$-results that imply the classical $\\Omega$-results due to G. H. Hardy and J. E. Littlewood. In this talk we present new results on the average of $R (x)$ over long intervals around $x$. We demonstrate in particular how the methods of A. E. Ingham and A. Selberg are utilized to improve on Jurkat’s $\\Omega$-results and to recover Littlewood’s theorem which states that $R (x) = \\Omega_{\\pm} (\\log \\log \\log x)$ as $x \\to \\infty$, showing that $R (x)$ is unbounded.<\/p>\n","protected":false},"excerpt":{"rendered":"

Dear Colleagues, Part V of the Special Colloquium Lecture Series, sponsored by the Department of Mathematics and UTC\u2019s NSF-funded Math REU Site, will be held in person this Friday, July 29th. The REU students will be presenting their research findings. The details of their presentations are provided below. Sincerely, Roger Nichols Speakers: Matthew Hayden (Indiana… <\/p>\n

Continue Reading <\/span><\/a><\/span><\/p>\n","protected":false},"author":1493,"featured_media":980,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[15,120183,8,120186],"tags":[],"class_list":{"0":"post-1186","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-campus","8":"category-faculty-staff","9":"category-news","10":"category-students-news","11":"entry"},"yoast_head":"\nSpecial Colloquium Lecture Series, Part 5 - Campus Updates Archive<\/title>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Special Colloquium Lecture Series, Part 5 - Campus Updates Archive\" \/>\n<meta property=\"og:description\" content=\"Dear Colleagues, Part V of the Special Colloquium Lecture Series, sponsored by the Department of Mathematics and UTC\u2019s NSF-funded Math REU Site, will be held in person this Friday, July 29th. 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