Abhinav Jha

PhD Student • University of California, Santa Cruz

I am a third year PhD student in Math Department at UC Santa Cruz.

I completed my BSMS degree majoring in Mathematics at IISER Tirupati.

I did my MS Thesis on The Yamabe problem with Ved V. Datar at IISc.

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Me with My Parents
Me with My Mom and Dad

Teaching

Teaching Assistant

University of California, Santa Cruz

  • Calculus with Applications
  • Complex Analysis
  • Introduction to Proofs
  • Vector Calculus

Instructor

COSMOS (Summer 2025)

Discrete Math
California State Summer School for Mathematics and Science at UCSC.

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Volunteer

Prison Inmate Education Program

University of California, Santa Cruz.

Philosophy

I endorse 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.

Resources

A structured collection of useful links.

Advice
Grad School
Email & Etiquette
Book Recommendation

Identity

Doob's Measure Theory

If I were a Springer-Verlag Graduate Text in Mathematics, I would be J.L. Doob's Measure Theory.

I am different from other books on measure theory in that I accept probability theory as an essential part of measure theory. This means that many examples are taken from probability; that probabilistic concepts such as independence, Markov processes, and conditional expectations are integrated into me rather than being relegated to an appendix; that more attention is paid to the role of algebras than is customary; and that the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary.

Which Springer GTM would you be? Take the Test →