African Diaspora Joint Mathematics

2020 ADJOINT Workshop

June 15, 2020 to June 26, 2020

Description

The ADJOINT Workshop will take place at the Mathematical Sciences Research Institute in Berkeley, CA from June 15 to June 26, 2020. ADJOINT is a two-week summer activity designed for researchers with a Ph.D. degree in the mathematical sciences who are interested in conducting research in a collegial environment. The main objective of ADJOINT is to provide opportunities for in-person research collaboration to U.S. mathematicians, especially those from the African Diaspora, who will work in small groups with research leaders on various research projects. Through this effort, MSRI aims to establish and promote research communities that will foster and strengthen research productivity and career development among its participants. The ADJOINT workshops are designed to catalyze research collaborations, provide support for conferences to increase the visibility of the researchers, and to develop a sense of community among the mathematicians who attend. The end goal of this program is to enhance the mathematical sciences and its community by positively affecting the research and careers of African-American mathematicians and supporting their efforts to achieve full access and engagement in the broader research community. During the workshop, each participant will: conduct research at MSRI within a group of four to five mathematicians under the direction of one of the research leaders participate in professional enhancement activities provided by the onsite ADJOINT Director receive funding for two weeks of lodging, meals and incidentals, and one round-trip travel to Berkeley, CA After the two-week workshop, each participant will: have the opportunity to further their research project with the team members including the research leader have access to funding to attend conference(s) or to meet with other team members to pursue the research project, or to present results become part of a network of research and career mentors Eligibility Applicants must be a U.S. citizen or permanent resident, possess a Ph.D. in the mathematical sciences, and be employed at a U.S. institution. Selection Process The guiding principle in selecting participants and establishing the groups is the creation of diverse teams whose members come from a variety of institutional types and career stages. The degree of potential positive impact on the careers of African-Americans in the mathematical sciences will be an important factor in the final decisions. * The 2020 on-site director is Dr. Naiomi Cameron, Spelman College. 2020 Research Leaders and Topics Tepper Gill (Howard University) Analysis, PDEs, and Mathematical Physics The center of mass for this research is a new class of separable Banach spaces , which contains each corresponding space as a dense continuous embedding. (View full description) Abba Gumel (Arizona State University) Mathematics of the Transmission Dynamics and Control of the 2019 Novel Coronavirus The world is currently facing a devastating pandemic of a novel Coronavirus (COVID-19), which started as an outbreak of pneumonia of unknown cause in Wuhan, China in December of 2019. As of April 26, 2020, COVID-19 (caused by the novel SARS-CoV-2 coronavirus) has spread to over 210 countries and territories, causing about three million infections and 207,000 deaths. In the absence of a safe and effective vaccine against COVID-19, and safe and approved antivirals, control and mitigation efforts are focused on the use of non-pharmaceutical interventions, such as social-distancing, quarantine, aggressive containment (i.e., rapid detection, isolation and contact-tracing of confirmed cases), use of face masks in public, etc. (View full description) Ryan Hynd (University of Pennsylvania) Hamilton-Jacobi equations in high dimensions Hamilton-Jacobi equations (HJE) are partial differential equations which were first derived to study problems in classical mechanics. These equations have also played a central role in control and game theory. (View full description) Bonita Saunders (National Institute of Standards and Technology) Validated Numerical Computations of Mathematical Functions Project participants will be introduced to the field of validated computations of special mathematical functions, which is the development of codes that compute certifiably accurate function values that can be used to test the accuracy of values produced by personal, commercial, or publicly available codes. (View full description) Craig Sutton (Dartmouth College) Explorations in Inverse Spectral Geometry Inverse spectral geometry is the study of the relationship between the {spectrum} of a closed Riemannian manifold---i.e., the sequence of eigenvalue (counting multiplicities) of the associated Laplace-Beltrami operator---and its underlying geometry. (View full description) ADJOINT Program Directors Dr. Edray Goins, Pomona College Dr. Caleb Ashley, University of Michigan Dr. Naiomi Cameron (2020 On-Site Director), Spelman College Dr. Jacqueline Hughes-Oliver, North Carolina State University Dr. Anisah Nu’Man, Spelman College

The ADJOINT Workshop will take place at the Mathematical Sciences Research Institute in Berkeley, CA from June 15 to June 26, 2020.

ADJOINT is a two-week summer activity designed for researchers with a Ph.D. degree in the mathematical sciences who are interested in conducting research in a collegial environment.

The main objective of ADJOINT is to provide opportunities for in-person research collaboration to U.S. mathematicians, especially those from the African Diaspora, who will work in small groups with research leaders on various research projects.

Through this effort, MSRI aims to establish and promote research communities that will foster and strengthen research productivity and career development among its participants. The ADJOINT workshops are designed to catalyze research collaborations, provide support for conferences to increase the visibility of the researchers, and to develop a sense of community among the mathematicians who attend.

The end goal of this program is to enhance the mathematical sciences and its community by positively affecting the research and careers of African-American mathematicians and supporting their efforts to achieve full access and engagement in the broader research community.

During the workshop, each participant will:

conduct research at MSRI within a group of four to five mathematicians under the direction of one of the research leaders
participate in professional enhancement activities provided by the onsite ADJOINT Director
receive funding for two weeks of lodging, meals and incidentals, and one round-trip travel to Berkeley, CA

After the two-week workshop, each participant will:

have the opportunity to further their research project with the team members including the research leader
have access to funding to attend conference(s) or to meet with other team members to pursue the research project, or to present results
become part of a network of research and career mentors

Eligibility
Applicants must be a U.S. citizen or permanent resident, possess a Ph.D. in the mathematical sciences, and be employed at a U.S. institution.

Selection Process
The guiding principle in selecting participants and establishing the groups is the creation of diverse teams whose members come from a variety of institutional types and career stages. The degree of potential positive impact on the careers of African-Americans in the mathematical sciences will be an important factor in the final decisions.

* The 2020 on-site director is Dr. Naiomi Cameron, Spelman College.

2020 Research Leaders and Topics

Tepper Gill (Howard University)
Analysis, PDEs, and Mathematical Physics
The center of mass for this research is a new class of separable Banach spaces , which contains each corresponding space as a dense continuous embedding. (View full description)

Abba Gumel (Arizona State University)
Mathematics of the Transmission Dynamics and Control of the 2019 Novel Coronavirus
The world is currently facing a devastating pandemic of a novel Coronavirus (COVID-19), which started as an outbreak of pneumonia of unknown cause in Wuhan, China in December of 2019. As of April 26, 2020, COVID-19 (caused by the novel SARS-CoV-2 coronavirus) has spread to over 210 countries and territories, causing about three million infections and 207,000 deaths. In the absence of a safe and effective vaccine against COVID-19, and safe and approved antivirals, control and mitigation efforts are focused on the use of non-pharmaceutical interventions, such as social-distancing, quarantine, aggressive containment (i.e., rapid detection, isolation and contact-tracing of confirmed cases), use of face masks in public, etc. (View full description)

Ryan Hynd (University of Pennsylvania)
Hamilton-Jacobi equations in high dimensions
Hamilton-Jacobi equations (HJE) are partial differential equations which were first derived to study problems in classical mechanics. These equations have also played a central role in control and game theory. (View full description)

Bonita Saunders (National Institute of Standards and Technology)
Validated Numerical Computations of Mathematical Functions
Project participants will be introduced to the field of validated computations of special mathematical functions, which is the development of codes that compute certifiably accurate function values that can be used to test the accuracy of values produced by personal, commercial, or publicly available codes. (View full description)

Craig Sutton (Dartmouth College)
Explorations in Inverse Spectral Geometry
Inverse spectral geometry is the study of the relationship between the {spectrum} of a closed Riemannian manifold---i.e., the sequence of eigenvalue (counting multiplicities) of the associated Laplace-Beltrami operator---and its underlying geometry. (View full description)

ADJOINT Program Directors

Dr. Edray Goins, Pomona College
Dr. Caleb Ashley, University of Michigan
Dr. Naiomi Cameron (2020 On-Site Director), Spelman College
Dr. Jacqueline Hughes-Oliver, North Carolina State University
Dr. Anisah Nu’Man, Spelman College

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Logistics

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