Campus Directory

Division Physical & Biological Sciences Division

Department/College/Unit Mathematics Department

Title Mr.

Graduate Major Mathematics

Affiliation Graduate

Web Site

Primary Office Location McHenry Library
4122

Mail Stop Mathematics Department

Biography, Education and Training

I'm a first-year Ph.D. student in Mathematics at UC Santa Cruz, passionate about geometry and analysis. I completed my BSMS degree, majoring in Mathematics at IISER Tirupati, India. I did my MS Thesis on The Yamabe problem with Ved V. Datar at the Indian Institute of Science, Bangalore.

Geometry's beauty and the precision of mathematical analysis have always fascinated me.

I'm exploring research possibilities in Geometric Analysis and look forward to collaborating with faculty and peers. Outside academics, I like to read novels, play basketball, and tinker with GNU/Linux.

Let's connect! Feel free to reach out at abhinav@ucsc.edu.

Research Interests

I am interested in learning methods in Geometric Analysis. Currently, I am trying to learn Geometric Measure Theory and the basics of Ricci and Mean Curvature Flow. I am also interested in the interaction between Physics and Mathematics, specifically in Geometric Analysis.

Teaching Interests

I endorse the four fundamental axioms articulated by Federico Ardila:

Axiom 1. Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.

Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.

Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

Axiom 4. Every student deserves to be treated with dignity and respect.