Uniqueness in the Plateau problem near Quadratic cones.
Vishnu Nandakumaran, Gábor Székelyhidi
arXiv preprint: [2509.15503] (Submitted to Analysis and PDE.)
Minimal surfaces near Hardt-Simon foliations.
Vishnu Nandakumaran
arXiv preprint: [2410.22795] (Submitted, in revision at Math. Nachr.)
PhD Thesis: (Notre Dame)
Regularity and Uniqueness of Minimal Surfaces Near Quadratic Cones
Advisor: Prof. Gábor Székelyhidi and Prof. Nicholas Edelen
Master's thesis: (at IISER Pune):
Kahler Geometry with a view towards the Calabi Conjecture,
Advisor: Prof. Vamsi Pingali, IISc.
Visiting student at Indian Institute of Science (IISc), Bengaluru, India
Spring 2023- MTH 10560 Calculus II Instructor on Record (1 section).
Spring 2022- MTH 10560 Calculus II In-class instructor for a flipped section (1 section).
Fall 2025- MTH 20550 Calculus III Head TA (3 sections).
Spring 2025- MTH 20580 Linear Algebra and Differential Equations TA (2 sections).
Fall 2024- MTH 60370 Basic Complex Analysis-1 (Grad Course) Grader.
Fall 2023- MTH 20550 Calculus III TA (2 sections).
Fall 2023- MATH 60370 Basic Complex Analysis-1 (Grad Course) problem-solving session Tutor.
Fall 2022- MTH 10850 Calculus Honours-1 (Honours course) TA (2 sections).
Fall 2022- MATH 60370 Basic Complex Analysis-1 (Grad Course) Grader.
Spring 2022- MTH 10560 Calculus II TA (1 section).
Fall 2021- MTH 10550 Calculus I TA (2 sections).
Summer 2024- Pre REU Mentor- "Fourier Analysis" for honours freshmen Julian Stedman, and Kevin Vuong.
Summer 2023- Pre REU Mentor- "Fourier Analysis" for honours Adriana Baniecki, Andrew Brooks, and Kevin Murawski. A short report on the project published in Scientia (Vol 15).