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Kumar Murty Person1 #679893 Professor Kumar Murty is in the Department of Mathematics at the University of Toronto. His research fields are Analytic Number Theory, Algebraic Number Theory, Arithmetic Algebraic Geometry and Information Security. He is the founder of the GANITA lab, co-founder of Prata Technologies and PerfectCloud. His interest in mathematics ranges from the pure study of the subject to its applications in data and information security. | 
ANALYTIC NUMBER THEORY - Non-vanishing of L-functions.
- Average values of twists of L-functions.
- Sato-Tate conjecture.
- Distribution of Fourier coefficients of modular forms.
- Lang-Trotter conjecture and generalizations.
- Families of L-functions.
ALGEBRAIC NUMBER THEORY - Class numbers of solvable extensions.
- Effective versions of the Chebotarev density theorem.
- Growth of Selmer ranks of Abelian varieties in towers of number fields.
- Euclidean Algorithm.
- Bounded generation of Algebraic groups.
ARITHMETIC ALGEBRAIC GEOMETRY - Conjectures on algebraic cycles (Hodge, Tate).
- Tannakian groups.
- Algebraic cycles on Shimura varieties.
- Fundamental group of Satake compactifications.
APPLICATIONS TO INFORMATION TECHNOLOGY - Algebraic curves and cryptography.
- Explicit arithmetic on Abelian varieties over finite fields.
- Counting points on Abelian varieties over finite fields.
- Data Integrity algorithms.
- Data Compression algorithms.
- Storage Security.
GANITA LAB - Started in January 2001, this group studies Geometry, Algebra, Number Theory and their Information Technology Applications. It was initially housed in the Department of Mathematics at St. George. As space was unavailable for growth, it moved to UTM and was there from 2001-2010. In 2010, it returned to St. George and is now housed on the 10th floor of 215 Huron Street. Over the past 12 years, GANITA has received approximately $1.5 million in funding agency and industrial grants.
Tags: Vijayakumar Murty, V. Kumar Murty |
+Citations (2) - CitationsAdd new citationList by: CiterankMapLink[2] Quantifying the shift in social contact patterns in response to non-pharmaceutical interventions
Author: Zachary McCarthy, Yanyu Xiao, Francesca Scarabel, Biao Tang, Nicola Luigi Bragazzi, Kyeongah Nah, Jane M. Heffernan, Ali Asgary, V. Kumar Murty, Nicholas H. Ogden, Jianhong Wu Publication date: 1 December 2020 Publication info: Journal of Mathematics in Industry, Volume 10, Article number: 28 (2020) Cited by: David Price 8:41 PM 27 November 2023 GMT
Citerank: (8) 679750Ali AsgaryAssociate Professor and Associate Director, Advanced Disaster, Emergency and Rapid Response Simulation (ADERSIM) in the School of Administrative Studies, and Adjunct Professor in the School of Information Technology, at York University.10019D3ABAB, 679806Jane HeffernanJane Heffernan is a professor of infectious disease modelling in the Mathematics & Statistics Department at York University. She is a co-director of the Canadian Centre for Disease Modelling, and she leads national and international networks in mathematical immunology and the modelling of waning and boosting immunity.10019D3ABAB, 679812Jianhong WuProfessor Jianhong Wu is a University Distinguished Research Professor and Senior Canada Research Chair in industrial and applied mathematics at York University. He is also the NSERC Industrial Research Chair in vaccine mathematics, modelling, and manufacturing. 10019D3ABAB, 701037MfPH – Publications144B5ACA0, 714608Charting a FutureCharting a Future for Emerging Infectious Disease Modelling in Canada – April 2023 [1] 2794CAE1, 715328Nonpharmaceutical Interventions (NPIs)859FDEF6, 715329Nick OgdenNicholas Ogden is a senior research scientist and Director of the Public Health Risk Sciences Division within the National Microbiology Laboratory at the Public Health Agency of Canada.10019D3ABAB, 715617Schools859FDEF6 URL: DOI: https://doi.org/10.1186/s13362-020-00096-y
| Excerpt / Summary [Journal of Mathematics in Industry, 1 December 2020]
Social contact mixing plays a critical role in influencing the transmission routes of infectious diseases. Moreover, quantifying social contact mixing patterns and their variations in a rapidly evolving pandemic intervened by changing public health measures is key for retroactive evaluation and proactive assessment of the effectiveness of different age- and setting-specific interventions. Contact mixing patterns have been used to inform COVID-19 pandemic public health decision-making; but a rigorously justified methodology to identify setting-specific contact mixing patterns and their variations in a rapidly developing pandemic, which can be informed by readily available data, is in great demand and has not yet been established. Here we fill in this critical gap by developing and utilizing a novel methodology, integrating social contact patterns derived from empirical data with a disease transmission model, that enables the usage of age-stratified incidence data to infer age-specific susceptibility, daily contact mixing patterns in workplace, household, school and community settings; and transmission acquired in these settings under different physical distancing measures. We demonstrated the utility of this methodology by performing an analysis of the COVID-19 epidemic in Ontario, Canada. We quantified the age- and setting (household, workplace, community, and school)-specific mixing patterns and their evolution during the escalation of public health interventions in Ontario, Canada. We estimated a reduction in the average individual contact rate from 12.27 to 6.58 contacts per day, with an increase in household contacts, following the implementation of control measures. We also estimated increasing trends by age in both the susceptibility to infection by SARS-CoV-2 and the proportion of symptomatic individuals diagnosed. Inferring the age- and setting-specific social contact mixing and key age-stratified epidemiological parameters, in the presence of evolving control measures, is critical to inform decision- and policy-making for the current COVID-19 pandemic. |
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