Graduate Student Talks Given:

1. Grad (∇) Analysis Student Seminar (9/21):
   Yau's Liouville Theorem via the C^2 and C^3 estimates

2. Grad (∇) Analysis Student Seminar (12/25):
   Extension Phenomena in Several Complex Variables.

3. Grad (∇) Analysis Student Seminar (2/25):
   Measuring the Failure of the Riemann Mapping Theorem in Several Complex Variables.

4. Grad (∇) Analysis Student Seminar (11/24):
   Regularity Theory of Energy Minimizing Maps between Riemannian Manifolds. 

5. Number Theory Graduate Student Seminar (11/24):
   How to Parametrize Elliptic Curves.

6. Student Seminar Series (12/23):
   An Introduction to Several Complex Variables: Opening the Can of Worms. 

Lecture / Expository Notes:

1. Mean Curvature Flows

2. Invitation to Complex Geometry Summer School, Budapest 2025

Directed Reading Projects:

I have mentored the following Directed Reading Projects:

• Jason Liu: The Weierstrass Factorization Theorem (Fall 2024); Conformal Maps and the Riemann Mapping Theorem (Spring 2025, honorable mention)

• Alankar Sovani: Cauchy's Theorem and Analyticity (Spring 2025)

• Urvi Patel: The Mittag-Leffler Theorem (Summer 2025) 

• Jacob Sze: An Introduction to Differential Geometry and Liouville's Theorem on Manifolds (Summer 2025)

• Ryan Wang: Conformality of Brownian Motion (Spring 2026)

• Antonios Theocaropoulos: Walking the Dog: Complex Analysis and Rouché's Theorem (Summer 2026)

These projects are small reading projects undergraduate students at Rutgers undertake concurrent to their studies during a given semester. You can find out more information about these projects here. 

Running: