Vijay Srinivasan

Contact: vijayrs at mit dot edu

I am a second year graduate student at MIT, supported by an NSF Graduate Research Fellowship. Previously, I was an undergraduate at the University of Chicago.

I am interested in number theory and algebraic geometry.
My advisor is Wei Zhang.

Research

• Projective toric varieties of codimension 2 with maximal Castelnuovo–Mumford regularity
  with Preston Cranford and Alan Peng, J. Pure Appl. Algebra (2023)
  (From the University of Minnesota, Twin Cities REU).

Seminars

• Fall 2023: I am co-organizing STAGE, which is about torsion in Mordell–Weil groups of elliptic curves.
• Fall 2022: I co-organized STAGE, which was about cohomological obstructions to rational points.
• Summer 2022: I ran a learning seminar on the Gross–Zagier formula.

Notes

The following are some (mostly short) expository notes on number theory topics.

• Modular curves and local heights
• The Kottwitz map
• The Shimura–Taniyama formula
• Shtukas in mixed characteristic
• Crystalline and semistable representations

Mentoring

I enjoy teaching and working with younger students.

• I am the Head Mentor for the MathROOTS program.
• In 2022, I mentored a DRP project on geometric class field theory.
• In 2021 and 2022 I was a mentor for the GUMMI program at MIT.
• In Summer 2019 and 2021, I was a counselor at the PROMYS program.

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