About

I am an Assistant Professor in the Department of Mathematics at Millsaps College. Prior to this, I held teaching and research positions at Kenyon College, the University of South Florida, and Virginia Tech. I completed my Ph.D. in Mathematics at the University of Memphis in 2021 under the guidance of Dr. Fernanda Botelho. I received my Master's degree in Mathematics from the Indian Institute of Science Education and Research, Kolkata and my Bachelor's degree in Mathematics from the University of Calcutta. My research interests lie in operator theory and Banach space geometry, with a focus on the structural and spectral properties of operators and projections on Banach spaces. I am committed to active, inquiry-based teaching and enjoy working with undergraduates on research.

Research

My research lies at the intersection of functional analysis, operator theory, and Banach space geometry. I am broadly interested in understanding how the algebraic and spectral properties of operators on Banach spaces interact with the geometric structure of the space. A particular focus of my work is the study of projections and isometries — how they arise from operators, what they reveal about the underlying space, and how they connect to the broader geometry of Banach spaces. I am also actively interested in problems related to the numerical index of Banach spaces, which sits at a rich interface between operator theory and Banach space geometry.

Publications & Preprints

Publications

Preprints

Talks & Presentations

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

For a complete list of presentations, see CV.

Teaching

I have taught a broad range of courses, from large introductory classes to advanced proof-based classes. I aim to create an active and inclusive classroom environment where students develop both mathematical intuition and the ability to think and communicate rigorously. I am also enthusiastic about undergraduate research and enjoy guiding students as they learn to ask good questions, work through uncertainty, and communicate mathematics with clarity and precision.

Millsaps College  |  Department of Mathematics
2025 – Present
  • MATH 4630: Real Analysis Spring 2026, Spring 2027
  • MATH 4510: Mathematical Statistics Fall 2026
  • MATH 2310: Introduction to Advanced Mathematics Fall 2025
  • MATH 1220: Analytical Geometry & Calculus I Fall 2025 (×2)
  • MATH 1150: Elementary Statistics Fall 2026, Spring 2026 (×2), Spring 2027
Earlier teaching experience (2021–2025)
Kenyon College  |  Department of Mathematics & Statistics
2023 – 2025
  • MATH 341: Real Analysis I Fall 2024
  • MATH 342: Real Analysis II Spring 2025
  • MATH 224: Linear Algebra Fall 2024, Fall 2023, Spring 2024
  • STAT 106: Elements of Statistics Spring 2025 (×2), Spring 2024 (×2)
  • MATH 112: Calculus II Fall 2023
University of South Florida & Virginia Tech
2021 – 2023
  • Linear Algebra, Engineering Calculus II, Calculus IIUSF, 2022–23
  • Calculus of a Single Variable Virginia Tech, 2021–22

Curriculum Vitae

Full academic CV including publications, presentations, teaching, and service.

Download CV (PDF) View CV (Web)

Contact

Email
deyp [at] millsaps [dot] edu
priyadarshid4 [at] gmail [dot] com
Address
Department of Mathematics
Millsaps College
Jackson, MS, USA