Employment

Education

Research Articles

• Botelho, F., Dey, P., Easley, Z. Projections in the convex hull of isometries on Absolutely Continuous Function Spaces. Journal of Mathematical Analysis and Applications, 2023. [Journal]
• Botelho, F., Dey, P., Ilišević, D. Hermitian projections on some Banach spaces and related topics. Linear Algebra and Its Applications, 2020. [Journal]

• Dey, P., Easley, Z., Monika. Projections in the Algebra Generated by an n-potent Operator. Preprint, 2025. [arXiv]
• Amrutam, T., Dey, P., Monika. On the Convergence of Numerical Index via Operator Openings and Ultraproducts. Preprint, 2026. [arXiv]

Teaching

Student Mentoring

• Senior Capstone Advisor, Investigating the Derivation of Real and Complex Fourier Coefficients, Department of Mathematics & Statistics, Kenyon College. 2023
• Graduate Student Mentor, NSF grant Promoting Success in Undergraduate Mathematics Program (PI: John Haddock), University of Memphis. 2019–2021

Awards & Honors

• Recipient of AMS–ICM 2026 Travel Grant (funded by NSF), for early career mathematicians to attend ICM 2026, Philadelphia, PA. Spring 2026
• Recipient of AMS–MCA 2025 Travel Grant (funded by NSF), Mathematical Congress of the Americas, University of Miami, FL. Grant declined due to family reasons. Summer 2025
• Recipient of JMM Travel Grant for PUI Faculty, Joint Mathematics Meetings 2024. Spring 2024
• Recipient of DMS 2021 Research Award for excellent progress toward the doctoral degree, University of Memphis. Spring 2021
• Recipient of Outstanding 2021 Graduate Assistant Award, University of Memphis. Spring 2021
• Invited to participate in the Summer Graduate School Mathematics of Big Data: Sketching and (Multi-)Linear Algebra, MSRI, Berkeley. Summer 2021
• Recipient of Cecil C. Rousseau Award for excellent progress toward the doctoral degree and excellent teaching record, University of Memphis. Fall 2020
• Recipient of Travel Enrichment Fund, University of Memphis, for presenting at IWOTA 2019. Summer 2019

Invited Talks

• “Projections and Isometries: Interconnections in Infinite-Dimensional Spaces.” Ohio Speaker Circuit, Oberlin College, Oberlin, OH. April 2025
• “Exploring Connections between Isometries and Projections on Infinite Dimensional Spaces.” Math Mondays, Kenyon College, Gambier, OH. November 2023
• “Recent Results in Hermitian Projections on Banach Spaces.” One Day in Operator Theory, University of Memphis, Memphis, TN. February 2020
• “Hermitian Projections on Operator Spaces.” IWOTA 2019, University of Lisbon, Portugal. July 2019

Contributed Talks

• “Projections in the Algebra Generated by an n-Potent Operator.” South Eastern Analysis Meeting (SEAM), University of Richmond, Richmond, VA. March 2026
• “A Class of Projections and Its Characterization on Banach Spaces.” New Faces in Operator Theory, JMM 2025, Seattle, WA. January 2025
• “Projections in the Combination of Powers of Operators of Finite Order.” AMS Special Session on New Faces in Operator Theory, JMM 2024, San Francisco, CA. January 2024
• “Projections in the Convex Hull of Surjective Isometries.” Ohio River Analysis Meeting XII (ORAM), University of Cincinnati, Cincinnati, OH. March 2023
• “Hermitian Projections on Some Operator Spaces.” 38th South Eastern Analysis Meeting (SEAM), University of Florida, Gainesville, FL (held online). March 2022

Professional Service

• Reviewer, Mathematical Reviews (MathSciNet), American Mathematical Society. 2026–Present
• Referee, Journal of Contemporary Mathematics. Summer 2023
• Panel member, Undergraduate Honor System, Virginia Tech. Fall 2021
• Facilitator, One Day in Operator Theory conference, University of Memphis. February 2020

References