I completed my PhD from Texas A&M University in 2025 under the supervision of Prof. Emil J. Straube. My doctoral dissertation was on the Diederich–Fornæss index and the global regularity of the complex Green operator.
I am currently on the job market.
Email: tanujgupta17 [at] gmail [dot] com
Research
My primary research interest lies in Several Complex Variables, with a particular focus on the \( \bar\partial \)-Neumann problem. I am especially interested in analytic and geometric aspects of the \( \bar\partial \)-Neumann theory and its connections to PDE and complex geometry.
Publications and Preprints
-
Diederich–Fornæss index and global regularity of the complex Green operator:
Domains with comparable Levi eigenvalues
(with E J Straube), submitted.
arXiv: https://arxiv.org/abs/2512.11698 -
Modifications of the Levi core
(with E J Straube and J N Treuer),
Indiana University Mathematics Journal
74 (2025), no. 5, 1207–1224.
Link: http://dx.doi.org/10.1512/iumj.2025.74.60462
arXiv: https://arxiv.org/abs/2308.14807
Teaching
Instructor
Delivered lectures; designed and graded assignments and examinations; held office hours.MATH 140: Mathematics for Business and Social Sciences , Texas A&M University, Fall 2020
MTH 105: Intermediate Algebra , Central Michigan University, Fall 2018, Spring 2019
Recitation / Lab TA
Led weekly calculus recitation sessions and facilitated Python-based labs.MATH 150: Functions, Trigonometry and Linear Systems , Texas A&M University, Fall 2022
MATH 151: Engineering Mathematics I , Texas A&M University, Fall 2021
MATH 152: Engineering Mathematics II , Texas A&M University, Spring 2024, Spring 2022, Spring 2021
Grader
Graded weekly assignments for graduate and undergraduate courses.MATH 617: Complex Variables I , Texas A&M University, Fall 2024
MATH 618: Complex Variables II , Texas A&M University, Spring 2023, Spring 2025
MATH 308: (Honors) Differential Equations , Texas A&M University, Spring 2020
MATH 311: Topics in Applied Mathematics I , Texas A&M University, Summer 2020
MATH 407: Complex Variables , Texas A&M University, Fall 2019
Help Session Tutor
Weekly tutoring session for undergraduate math courses outside the classroom.MATH 308: (Honors) Differential Equations , Texas A&M University, Spring 2020
MATH 409: (Honors) Advanced Calculus I , Texas A&M University, Summer 2021
Mentoring and Outreach
Mentored four undergraduate students from various departments through the Directed Reading Program , Texas A&M University, 2021-2025.Served as an instructor and facilitator for the Texas A&M Math Circle , 2021–2023.
TA for Ph.D. Qualifying Exam preparation in Complex Analysis, Summer 2021. Solutions to past qualifying exams.
Assisted in training incoming Ph.D. students at Texas A&M University for their teaching assistant responsibilities, Summer 2022.